UNOCAL CORP
10-Q, 1998-05-14
CRUDE PETROLEUM & NATURAL GAS
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                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D. C. 20549


                                    FORM 10-Q

        (Mark One)

 [X]  QUARTERLY  REPORT  PURSUANT  TO SECTION 13 OR 15(D) OF THE  SECURITIES
      EXCHANGE ACT OF 1934 For the quarterly  period ended March 31, 1998

                                       OR

 [ ]  TRANSITION  REPORT  PURSUANT TO SECTION 13 OR 15(D) OF THE  SECURITIES
      EXCHANGE ACT OF 1934


       For the transition period from               to
                                      --------------  -------------------


                          Commission file number 1-8483

                               UNOCAL CORPORATION
             (Exact name of registrant as specified in its charter)




                 DELAWARE                             95-3825062
         (State or other jurisdiction of           (I.R.S. Employer
          incorporation or organization)            Identification No.)


         2141 ROSECRANS AVENUE, SUITE 4000, EL SEGUNDO, CALIFORNIA 90245        
                    (Address of principal executive offices)
                                   (Zip Code)

                                 (310) 726-7600                                 
              (Registrant's Telephone Number, Including Area Code)


     Indicate by check mark  whether the  registrant:  (1) has filed all reports
required to be filed by Section 13 or 15(d) of the  Securities  Exchange  Act of
1934  during  the  preceding  12 months  (or for such  shorter  period  that the
registrant was required to file such reports),  and (2) has been subject to such
filing requirements for the past 90 days. Yes X No

Number of shares of Common  Stock, $1 par value,  outstanding  as of October 31,
1997: 241,369,372


<PAGE>

                         PART I - FINANCIAL INFORMATION
  
ITEM 1.  FINANCIAL STATEMENTS                                UNOCAL CORPORATION
CONSOLIDATED EARNINGS
(Unaudited)
                                                           For the Three Months
                                                              Ended March 31
                                                         ----------------------
Millions of dollars except per share amounts                   1998       1997
- --------------------------------------------------------------------------------
  Revenues
  Sales and operating revenues ................               $ 1,171   $ 1,408
  Gain on sales of assets and other revenues ..                    36        48
- --------------------------------------------------------------------------------
        Total revenues ........................                 1,207     1,456
  Costs and Other Deductions
  Crude oil and product purchases .............                   416       459
  Operating expense ...........................                   331       288
  Selling, administrative and general expense .                    20        28
  Depreciation, depletion and amortization ....                   181       211
  Dry hole costs ..............................                    50        16
  Exploration expense .........................                    47        28
  Interest expense ............................                    41        61
  Property and other operating taxes ..........                    16        20
  Distributions on convertible preferred
     securities of subsidiary trust ...........                     8         8
- --------------------------------------------------------------------------------
        Total costs and other deductions ......                 1,110     1,119
- --------------------------------------------------------------------------------
  Earnings from continuing operations
     before income taxes ......................                    97       337
  Income taxes ................................                    79       149
- --------------------------------------------------------------------------------
 Earnings from continuing operations
    before discontinued operations ...........               $    18      $ 188
 Loss from discontinued operations ..........                     --        (44)
- --------------------------------------------------------------------------------
       Net earnings applicable to common stock                $    18     $ 144
- --------------------------------------------------------------------------------
Basic earnings per share of common stock (a)
   Continuing operations ..........................           $   0.07    $0.75
   Net earnings ...................................           $   0.07    $0.57
Diluted earnings per share of common stock (b)  (c)
   Continuing operations ..........................           $   0.07    $0.73
   Net earnings ...................................           $   0.07    $0.56
Cash dividends declared per share of common stock .           $   0.20    $0.20
- --------------------------------------------------------------------------------
(a)  Basic weighted average shares outstanding 
      (in thousands)                                           241,430   250,510
(b)  Diluted weighted average shares outstanding 
      (in thousands)                                           242,861  264,773
(c)  Distributions on preferred securities (net of tax)
       excluded in numerator.  In 1998,                       $      -    $   6
       the effect of assumed conversion of preferred 
       securities on earnings per share is antidilutive.

               See notes to the consolidated financial statements.




                                       1
<PAGE>



CONSOLIDATED BALANCE SHEET                                 UNOCAL CORPORATION

                                                          March 31  December  31
                                                          ----------------------
Millions of dollars                                       1998 (a)         1997
- --------------------------------------------------------------------------------
Assets
Current assets
   Cash and cash equivalents .............................   $   275    $   338
   Accounts and notes receivable .........................       848        897
   Inventories ...........................................       165        172
   Deferred income taxes .................................        54         71
   Other current assets ..................................        31         23
- --------------------------------------------------------------------------------
      Total current assets ...............................     1,373      1,501
Investments and long-term receivables ....................     1,128      1,113
Properties (b) ...........................................     4,882      4,816
Deferred income taxes ....................................        14          7
Other assets .............................................       181         93
- --------------------------------------------------------------------------------
      Total assets .......................................   $ 7,578    $ 7,530
- --------------------------------------------------------------------------------
Liabilities and Stockholders' Equity
Current liabilities
   Accounts payable ......................................   $   655    $   785
   Taxes payable .........................................       112        126
   Interest payable ......................................        34         54
   Current portion of environmental liabilities ..........        99        100
   Other current liabilities .............................        82         95
 -------------------------------------------------------------------------------
      Total current liabilities ..........................       982      1,160
Long-term debt ...........................................     2,427      2,169
Deferred income taxes ....................................       132        137
Accrued abandonment, restoration
    and environmental liabilities ........................       640        627
Other deferred credits and liabilities ...................       629        601
Company-obligated mandatorily redeemable convertible
   preferred securities of a subsidiary
   trust holding solely 6-1/4%
   convertible junior subordinated debentures of Unocal ..       522        522
Common stock ($1 par value) ..............................       252        252
Capital in excess of par value ...........................       460        452
Foreign currency translation adjustment ..................       (17)       (18)
Unearned portion of restricted stock issued ..............       (31)       (31)
Retained earnings ........................................     1,992      2,021
Treasury stock - at cost  (c) ............................      (410)      (362)
- --------------------------------------------------------------------------------
      Total stockholders' equity .........................     2,246      2,314
 -------------------------------------------------------------------------------
         Total liabilities and stockholders' equity ......   $ 7,578    $ 7,530
- --------------------------------------------------------------------------------
(a)  Unaudited
(b)  Net of accumulated depreciation:                        $ 10,040  $  9,896
(c)  Number of shares (in thousands):                          10,595     9,262

               See notes to the consolidated financial statements.

                                       2
<PAGE>



CONSOLIDATED CASH FLOWS                                     UNOCAL CORPORATION
(Unaudited)

                                                           For the Three Months
                                                             Ended March 31
                                                           ---------------------
Millions of dollars                                         1998           1997
- --------------------------------------------------------------------------------

Cash Flows from Operating Activities
Net earnings .............................................   $    18    $   144
Adjustments to reconcile net earnings to
   net cash provided by operating activities
      Loss on disposal of discontinued
        operations (before-tax) ..........................        --         71
      Depreciation, depletion and amortization ...........       181        211
      Dry hole costs .....................................        50         16
      Deferred income taxes ..............................        13         10
      Gain on sales of assets (before-tax) ...............        --        (10)
      Other ..............................................        20        (27)
      Working capital and other changes
        related to operations
         Accounts and notes receivable ...................        69        (87)
         Inventories .....................................         7        (33)
         Accounts payable ................................      (131)       105
         Taxes payable ...................................       (14)        48
         Other ...........................................      (119)      (114)
- --------------------------------------------------------------------------------
            Net cash provided by operating activities ....        94        334

Cash Flows from Investing Activities
   Capital expenditures
     (includes dry hole costs) ...........................      (326)      (286)
   Proceeds from sale of
     discontinued operations .............................        --      1,390
   Proceeds from sales of assets .........................         4         16
- --------------------------------------------------------------------------------
            Net cash provided by (used in)
               investing activities ......................      (322)     1,120

Cash Flows from Financing Activities
   Long-term borrowings ..................................       395        341
   Reduction of long-term debt ...........................      (133)      (166)
   Dividends paid on common stock ........................       (48)       (50)
   Repurchases of common stock ...........................       (48)       (46)
   Other .................................................        (1)        (1)
- --------------------------------------------------------------------------------
         Net cash provided by financing activities .......       165         78

Increase (decrease) in cash and cash equivalents .........       (63)     1,532
Cash and cash equivalents at beginning of year ...........       338        217
- --------------------------------------------------------------------------------
Cash and cash equivalents at end of period ...............   $   275    $ 1,749
- --------------------------------------------------------------------------------

Supplemental  disclosure of cash flow  information: 
 Cash paid during the period for:
      Interest (net of amount capitalized)                   $    60    $    86
      Income taxes (net of refunds)                          $    92    $    62


               See notes to the consolidated financial statements.


                                       3
<PAGE>


NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
(Unaudited)

(1)  The consolidated financial statements included herein are unaudited and, in
     the opinion of  management,  include all  adjustments  necessary for a fair
     presentation  of  financial   position  and  results  of  operations.   All
     adjustments are of a normal recurring nature. Such financial statements are
     presented in  accordance  with the  Securities  and  Exchange  Commission's
     (Commission) disclosure requirements for Form 10-Q.

     These  interim   consolidated   financial  statements  should  be  read  in
     conjunction  with  the  Consolidated  financial  statements  and the  Notes
     thereto  filed with the  Commission  in Unocal  Corporation's  1997  Annual
     Report on Form 10-K.

     Results for the three  months  ended March 31,  1998,  are not  necessarily
     indicative of future financial results.

     Certain items in the prior year financial statements have been reclassified
     to conform to the 1998 presentation.

(2)  For the  purpose  of  this  report,  Unocal  Corporation  (Unocal)  and its
     consolidated subsidiaries,  Union Oil Company of California (Union Oil) and
     its consolidated subsidiaries and Unocal Capital Trust, will be referred to
     as the company.

(3)  Other Financial Information

     Sales  and  operating  revenues  are  derived  from the sale of crude  oil,
     natural gas, natural gas liquids, geothermal steam, electricity,  specialty
     minerals and nitrogen-based  agricultural products produced by the company.
     During the first quarters of 1998 and 1997, approximately 31 percent and 32
     percent,   respectively,   of  total  sales  and  operating  revenues  were
     attributed  to the resale of purchased  crude oil,  natural gas and natural
     gas liquids  produced by others,  that the company  purchased in connection
     with its trading  and  marketing  activities.  Related  purchase  costs are
     classified  as expense in the crude oil and product  purchases  category of
     the consolidated earnings statement.

     Capitalized  interest  totaled  $8  million  and $5  million  for the first
     quarters of 1998 and 1997, respectively.

     During the first quarter of 1998, the company  recorded  after-tax  foreign
     exchange losses of  approximately  $6 million.  These losses were primarily
     due to foreign  currency  forward  contracts  which  locked in U.S.  dollar
     exchange rates for the Thai baht.

(4)  Income Taxes

     Taxes on earnings from continuing  operations for the first quarter of 1998
     were $79 million  compared with $149 million for the first quarter of 1997.
     The  effective  tax rates for the first  quarters  of 1998 and 1997 were 81
     percent and 44 percent,  respectively.  The increase in the  effective  tax
     rate for 1998 was  primarily  due to  adjustments  totaling $21 million for
     deferred taxes and $11 million for current taxes related to appreciation of
     the baht in Thailand.

(5)  Comprehensive Income

     Effective March 31, 1998, the company adopted Financial Accounting Standard
     No. 130, "Reporting  Comprehensive Income", which establishes standards for
     reporting and displaying  comprehensive income and its components in a full
     set of financial statements.  The company's  comprehensive earnings were as
     follows:

                                                          For the Three Months
                                                            Ended March 31
                                                      --------------------------
Millions of dollars                                     1998              1997
- ------------------------------------------------------------------------------
Net earnings .................................        $        18 $         144
Change in equity due to foreign
currency translation adjustments .............                  1            (1)
- --------------------------------------------------------------------------------
      Comprehensive earnings .................        $        19 $         143
- --------------------------------------------------------------------------------

                                       4
<PAGE>


NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (CONTINUED)
(Unaudited)

(6)  Earnings Per Share

     The following are reconciliations of the numerators and denominators of the
     basic and diluted  earnings per share (EPS)  computations for earnings from
     continuing operations for the first quarters ended March 31, 1998 and 1997:

                                <TABLE>
<CAPTION>

                                                                                   Earnings             Shares             Per Share
Millions except per share amounts                                                 (Numerator)       (Denominator)            Amount
- ------------------------------------------------------------------------------------------------------------------------------------
Three Months ended March 31, 1998
<S>                                                                                            <C>              <C>
      Earnings from continuing operations .........................................            $ 18             241
            Basic EPS .............................................................                                         $   0.07
                                                                                                                               =====
      Effect of Dilutive Securities
         Options ..................................................................             --                1
                                                                                               -------------------------------------
         Diluted EPS ..............................................................            $ 18            $242             0.07
                                                                                                                               =====
         Distributions on preferred securities (after-tax) ........................               6              12
                                                                                               -------------------------------------
         Antidilutive .............................................................            $ 24            $254             0.09
                                                                                                                               =====
Three Months ended March 31, 1997
      Earnings from continuing operations .........................................            $188             251
            Basic EPS .............................................................                                         $   0.75
                                                                                                                               =====
      Effect of Dilutive Securities
         Options ..................................................................             --                1
                                                                                               -------------------------------------
                                                                                                188            $252             0.75
                                                                                                                               =====
         Distributions on preferred securities (after-tax) ........................               6              12
                                                                                               -------------------------------------
            Diluted EPS ...........................................................            $194            $264             0.73
                                                                                               -------------------------------------
</TABLE>

     Not included in the computation of diluted EPS were options  outstanding at
     March 31,  1998 to purchase  approximately  827  thousand  shares of common
     stock. These options were not included in the computation,  as the exercise
     prices were greater than the average market price of the common shares. The
     exercise prices of these options range from $38.81 to $44.75 per share. The
     options will expire in 2007.

     At March 31, 1997,  the basic and diluted  loss per share for  discontinued
     operations were $.18 and $.17, respectively.

(7)  Long Term Debt and Credit Agreements

     Financing  activities during the first quarter of 1998 primarily  consisted
     of increased  borrowings through the issuance of $395 million in commercial
     paper,  bringing the outstanding balance to $495 million. In addition,  the
     company  retired $25 million in  medium-term  notes and $108 million of the
     $250 million  Thailand  revolving credit  facility.  The balance  remaining
     outstanding under the Thailand  revolving credit facility at March 31, 1998
     was $52 million.  Commercial  paper was used to refinance  the  medium-term
     notes and the retired portion of the credit facility.

(8)  Financial Instruments

     The fair values of the company's  financial  instruments  at March 31, 1998
     are described below:


                                       5
<PAGE>

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (CONTINUED)
(Unaudited)

     The Deutsche  Mark currency  swap  agreement  had a notional  value of $110
     million and an increased value of approximately $25 million based on dealer
     quotes.

     The company had four foreign currency  forward  contracts to purchase 1,505
     million  baht for $35  million  to hedge a series  of known  United  States
     dollar  requirements.   Based  upon  quoted  market  prices  of  comparable
     instruments,  at March 31, 1998,  the net fair value of the contracts  were
     approximately $32 million.

     The company had  outstanding  commodity  futures  contracts  covering 2,360
     thousand  barrels of crude oil with a notional  amount of $39 million and 4
     billion  cubic feet of natural gas with a notional  amount of $10  million.
     The company  also had  outstanding  contracts  for the purchase and sale of
     18,900  thousand  gallons of heating  oil and  10,500  thousand  gallons of
     unleaded  gasoline  with  notional  amounts of $9 million  and $6  million,
     respectively,  at March 31, 1998.  Fair values of the  outstanding  futures
     contracts approximated their carrying values at March 31, 1998.

     The  estimated  fair  value of the  company's  long-term  debt  was  $2,550
     million. The estimated fair value of the mandatorily redeemable convertible
     preferred securities of the company's subsidiary trust was $581 million.

(9)  Accrued Abandonment, Restoration and Environmental Liabilities

     At March 31, 1998,  the company had accrued $453 million for the  estimated
     future costs to abandon and remove  wells and  production  facilities.  The
     total  costs  for   abandonments  are   predominately   accrued  for  on  a
     units-of-production  basis  and  are  estimated  to be  approximately  $629
     million.  This  estimate  was derived in large part from  abandonment  cost
     studies  performed  by an  independent  firm and is used to  calculate  the
     amount to be amortized. The company's reserve for environmental remediation
     obligations  at March 31, 1998 totaled $286  million,  of which $99 million
     was included in current liabilities.

(10) Contingent Liabilities

     The company has certain  contingent  liabilities  with  respect to material
     existing or potential  claims,  lawsuits and other  proceedings,  including
     those involving environmental,  tax and other matters, certain of which are
     discussed more specifically  below. The company accrues liabilities when it
     is  probable  that  future  costs  will be  incurred  and such costs can be
     reasonably estimated.  Such accruals are based on developments to date, the
     company's  estimates of the outcomes of these matters and its experience in
     contesting,  litigating  and settling  other  matters.  As the scope of the
     liabilities becomes better defined,  there will be changes in the estimates
     of future costs, which could have a material effect on the company's future
     results of operations and financial condition or liquidity.

     Environmental  matters  - The  company  is  subject  to loss  contingencies
     pursuant to federal,  state and local  environmental  laws and regulations.
     These include  existing and possible future  obligations to investigate the
     effects of the  release or  disposal  of certain  petroleum,  chemical  and
     mineral  substances at various sites;  to remediate or restore these sites;
     to  compensate  others for damage to property  and natural  resources;  for
     remediation and  restoration  costs and for personal  injuries;  and to pay
     civil  penalties  and,  in some  cases,  criminal  penalties  and  punitive
     damages.  These obligations  relate to sites owned by the company or others
     and are associated  with past and present  operations,  including  sites at
     which the company has been  identified as a potentially  responsible  party
     (PRP)  under  the  federal   Superfund  laws  and  comparable  state  laws.
     Liabilities  are  accrued  when it is probable  that  future  costs will be
     incurred  and such  costs can be  reasonably  estimated.  However,  in many
     cases,  investigations  are not yet at a stage where the company is able to
     determine  whether it is liable or, if liability  is probable,  to quantify
     the liability or estimate a range of possible exposure.  In such cases, the
     amounts  of  the  company's   liabilities  are  indeterminate  due  to  the
     potentially  large number of claimants for any given site or exposure,  the
     unknown magnitude of possible contamination,  the imprecise and conflicting
     engineering evaluations and estimates of proper clean-up methods and costs,
     the  unknown  timing  and  extent  of the  corrective  actions  that may be
     required,  the  uncertainty  attendant  to the  possible  award of punitive
     damages,  the recent  judicial  recognition  of new  causes of action,  the
     present  state of the law,  which  often  imposes  joint  and  several  and
     retroactive  liabilities  on PRPs, and the fact that the company is usually
     just one of a number of companies identified as a PRP.

     As  disclosed  in note 9, at March 31,  1998,  the company had accrued $286
     million for estimated future environmental assessment and remediation costs
     at various sites where  liabilities  for such costs are probable.  At those
     sites where


                                       6
<PAGE>

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (CONTINUED)
(Unaudited)

     investigations  or  feasibility  studies  have  advanced  to the  stage  of
     analyzing feasible alternative remedies and/or ranges of costs, the company
     estimates  that it could incur  additional  remediation  costs  aggregating
     approximately $240 million.

     Tax matters - In December 1994,  the company  received a Notice of Proposed
     Deficiency  (Notice) from the Internal Revenue Service (IRS) related to the
     years 1985 through 1987. In February  1995,  the company filed a protest of
     the  proposed  tax  deficiency   with  the  Appeals  section  of  the  IRS.
     Discussions  with the  Appeals  Officer  are  nearly  complete,  and it now
     appears  unlikely  that any  issues  raised in the Notice  will  proceed to
     either litigation or mediation, and it is expected that all matters will be
     settled.  The settlement  will require  approval by the Joint  Committee on
     Taxation of the U.S. Congress and such approval should be granted.

     The total amount of tax and interest  that the company would be required to
     pay if the IRS were ultimately to prevail on the material issues  described
     in the Notice,  after  application of foreign tax credits and  overpayments
     related to other issues,  and assuming a full disallowance of the claim for
     refund discussed below, is estimated at $508 million as of March 31, 1998.

     During the first quarter of 1997,  the IRS  examination  team completed its
     review of a claim for refund filed by the company  relating to its 1985 tax
     liability. The IRS has not formally allowed the claim, however, as a result
     of the expected  settlement  described  above,  the company believes that a
     portion of the claim will be allowed and that such allowance should entitle
     it to a small  refund  for  overpayment  of tax or  interest  for all  open
     taxable years preceding 1988.

     The company  believes it has adequately  provided in its accounts for items
     and issues not yet resolved.

     Other  matters - In  February  1996,  Bridas  Corporation  filed a petition
     against the company and others in the  District  Court of Fort Bend County,
     Texas,  alleging  that  the  defendants  conspired  to and  did  tortiously
     interfere  with Bridas'  rights under  agreements  with the  government  of
     Turkmenistan  to develop the Yashlar  Field and to transport  gas from that
     field to Pakistan. The petition also alleges that the defendants interfered
     with Bridas'  exclusive right to lay a gas pipeline in Afghanistan.  Bridas
     seeks actual damages as well as punitive  damages,  plus interest.  Bridas'
     expert  witnesses  have stated in pre-trial  discovery  that Bridas'  total
     actual damages for loss of future profits are  approximately  $1.7 billion.
     In the  alternative,  Bridas is expected to seek an award of  approximately
     $430 million with respect to its total  expenditures in  Turkmenistan.  The
     company  believes the  assertions  made by Bridas are without  merit and is
     vigorously defending the lawsuit.

     The company also has certain other  contingent  liabilities with respect to
     litigation,  claims and  contractual  agreements  arising  in the  ordinary
     course of business.  Although these  contingencies could result in expenses
     or judgments that could be material to the company's  results of operations
     for a given reporting  period, on the basis of management's best assessment
     of the  ultimate  amount  and  timing of these  events,  such  expenses  or
     judgments  are  not  expected  to have a  material  adverse  effect  on the
     company's consolidated financial condition or liquidity.


                                       7
<PAGE>

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (CONTINUED)
(Unaudited)

(11) Unocal guarantees  certain  indebtedness of Union Oil.  Summarized below is
     financial information for Union Oil and its consolidated subsidiaries:
                                
                                                         For the Three Months
                                                             Ended March 31
                                                      --------------------------
Millions of dollars                                           1998        1997
- --------------------------------------------------------------------------------
Total revenues ............................                 $ 1,207     $ 1,455
Total costs and other deductions
   (including income taxes) ...............                   1,184       1,262
- --------------------------------------------------------------------------------
Earnings from continuing operations .......                      23         193
Discontinued operations
   Loss on disposal (a) ...................                      --         (44)
- --------------------------------------------------------------------------------
Net earnings ..............................                 $    23     $   149
- --------------------------------------------------------------------------------
(a)  Net of tax benefit of:                                 $     -     $   (27)


                                                                     At December
                                                     At March 31        31 (b)
                                                      --------------------------
Millions of dollars                                       1998             1997
- --------------------------------------------------------------------------------
Current assets ...............................           $1,373           $1,576
Noncurrent assets ............................            6,231            6,053
Current liabilities ..........................              983            1,124
Noncurrent liabilities .......................            3,828            3,534
Shareholder's equity .........................            2,793            2,971
- --------------------------------------------------------------------------------
(b)  Audited


(12) Subsequent Event

     On May 6, 1998,  Union Oil issued $100  million of 6-1/2%  notes due May 1,
     2008 and $200  million  of 7%  debentures  due May 1,  2028,  in each  case
     guaranteed  by Unocal.  The proceeds  from the sale were used to retire the
     maturing  $110  million  Deutsche  Mark  bonds  and to  reduce  outstanding
     commercial paper borrowings.



                                       8
<PAGE>


OPERATING HIGHLIGHTS                                       UNOCAL CORPORATION
(Unaudited)


                                                           For the Three Months
                                                              Ended March 31
                                                           ---------------------
                                                               1998        1997
- --------------------------------------------------------------------------------
NET DAILY PRODUCTION
   Crude oil and condensate (thousand barrels daily)
      United States
         Spirit Energy 76 ..............................          44          48
         Alaska ........................................          30          34
- --------------------------------------------------------------------------------
           Total United States .........................          74          82
      International
         Far East (a) ..................................          89          93
         Other .........................................          31          27
- --------------------------------------------------------------------------------
           Total International .........................         120         120
      Worldwide ........................................         194         202
- --------------------------------------------------------------------------------

   Natural gas (million cubic feet daily)
      United States
         Spirit Energy 76 ..............................         788         910
         Alaska ........................................         138         156
- --------------------------------------------------------------------------------
           Total United States .........................         926       1,066
      International
         Far East (a) ..................................         826         805
         Other .........................................          52          67
- --------------------------------------------------------------------------------
           Total International .........................         878         872
      Worldwide ........................................       1,804       1,938
- --------------------------------------------------------------------------------

   Natural gas liquids (thousand barrels daily) ........          18          20
   Geothermal (million kilowatt-hours daily) ...........          21          16

- --------------------------------------------------------------------------------

(a) Includes host country share in Indonesia of:
      Crude oil and condensate                                    18         30
      Natural gas                                                 33         33
                          



                                       9
<PAGE>
 
OPERATING HIGHLIGHTS (continued)                             UNOCAL CORPORATION
(Unaudited)


                                                           For the Three Months
                                                              Ended March 31
                                                          ----------------------
                                                                1998      1997
- --------------------------------------------------------------------------------
AVERAGE SALES PRICES (a)
   Crude oil and condensate (per barrel)
      United States
         Spirit Energy 76 ..............................     $13.94      $20.79
         Alaska ........................................      10.84       18.51
           Total United States .........................      12.66       19.85
      International
         Far East ......................................     $13.97      $21.03
         Other .........................................      12.30       20.07
           Total International .........................      13.50       20.75
      Worldwide ........................................     $13.15      $20.32
- --------------------------------------------------------------------------------
   Natural gas (per thousand cubic feet)
      United States
         Spirit Energy 76 ..............................     $ 2.14      $ 2.78
         Alaska ........................................       1.47        1.35
           Total United States .........................       2.03        2.57
      International
         Far East ......................................     $ 2.03      $ 2.40
         Other .........................................       2.09        2.22
           Total International .........................       2.04        2.38
      Worldwide ........................................     $ 2.04      $ 2.49
- --------------------------------------------------------------------------------
AGRICULTURAL PRODUCTS PRODUCTION VOLUMES
(thousand tons)
   Ammonia .............................................        374         391
   Urea ................................................        260         275
   Other products ......................................        175         207

AGRICULTURAL PRODUCTS SALES VOLUMES (thousand tons)
   Ammonia .............................................        220         156
   Urea ................................................        325         210
   Other products ......................................        174         252
(a)  Excludes Global Trade margins

                                       10
<PAGE>        

ITEM 2.  MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS
OF OPERATIONS

The following  discussion and analysis of the financial condition and results of
operations  of  Unocal  should  be  read  in  conjunction   with  the  company's
Management,  Discussion and Analysis in Item 7 of the 1997 Annual Report on Form
10-K.  Unless  otherwise  specified,  the following  discussion  pertains to the
company's continuing operations.

CONSOLIDATED RESULTS

                                                           For the Three Months
                                                              Ended March 31
                                                        ------------------------
Millions of dollars                                              1998      1997
- ------------------------------------------------------------------------------
After-tax earnings from continuing operations ................   $  18    $ 188
Special items (net of tax):
    Environmental and litigation provisions ..................     (33)      (9)
    Asset sales ..............................................      --        7
    Deferred tax adjustment ..................................     (21)      --
- --------------------------------------------------------------------------------
   Total special items .......................................     (54)      (2)
 -------------------------------------------------------------------------------
   Adjusted after-tax earnings from continuing operations ....      72      190
Net loss on disposal of discontinued operations ..............      --      (44)
Special item:  discontinued operations .......................      --      (44)
- --------------------------------------------------------------------------------
   Adjusted after-tax loss from discontinued operations ......      --       --
- --------------------------------------------------------------------------------
      Adjusted after-tax earnings ............................   $  72    $ 190
- --------------------------------------------------------------------------------

The company's first quarter 1998 adjusted  earnings from  continuing  operations
decreased 62 percent over the same period last year.  The lower  earnings  level
was primarily due to  significantly  lower  average  worldwide  sales prices for
crude oil and natural  gas,  lower U.S.  natural  gas and crude oil  production,
higher  U.S.  dry hole  costs and  higher  international  exploration  expenses.
Partially  offsetting  these negative factors were increased power generation at
Salak in  Indonesia,  higher  agricultural  products  sales  volumes  and  lower
interest expense.

EXPLORATION AND PRODUCTION

Exploration and Production involves the exploration for, and production of crude
oil and natural gas.

UNITED STATES - Included in the United  States  category is Spirit Energy 76 and
Alaska oil and gas  operations.  Spirit Energy 76 is responsible for oil and gas
operations  in the Lower 48  United  States  with  emphasis  on the Gulf  Coast,
deepwater  areas in the Gulf of Mexico and the Permian  Basis in West  Texas.  A
substantial  portion of crude oil and natural gas produced  domestically is sold
interdivision  to the company's  Global Trade group. The remainder is contracted
to third parties, sold in the spot market or used in the company's  agricultural
products operations.

                                                            For the Three Months
                                                                Ended March 31
                                                          ----------------------
Millions of dollars                                            1998        1997
- --------------------------------------------------------------------------------
After-tax earnings:
   Spirit Energy 76 ..................................         $ 10         $ 95
   Alaska ............................................           12           21
- --------------------------------------------------------------------------------
      Total after-tax earnings .......................           22          116
Special items:
     Asset sales .....................................           --            2
- --------------------------------------------------------------------------------
            Adjusted after-tax earnings ..............         $ 22         $114
- --------------------------------------------------------------------------------

During the first three months of 1998,  adjusted after-tax earnings decreased 81
percent compared with the same period a year ago. The decrease was primarily due
to  substantially  lower  average  sales  prices for crude oil and natural  gas,
decreased crude oil and natural gas production and higher dry hole costs.

                                       11
<PAGE>

ITEM 2.  MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS
OF OPERATIONS (CONTINUED)

Compared with the first quarter of 1997,  average sales prices for United States
crude oil decreased by $7.19 per barrel, or 36 percent, and average sales prices
for United States  natural gas decreased by $.54 per thousand cubic feet (mcf) ,
or 21 percent.

The company's United States crude oil and natural gas production decreased by 10
percent  and 13  percent,  respectively,  over the same  period a year ago.  The
decreased  production  volumes  were  primarily  due  to two  separate  pipeline
curtailments and mechanical-related shut-ins.

Dry hole expense  increased by $20 million  (after-tax)  compared with the first
quarter of 1997 due to increased  exploratory drilling activities in the Gulf of
Mexico.

INTERNATIONAL  - The  company's  international  operations  pursue  oil  and gas
exploration and exploitation opportunities outside the United States.

                                                           For the Three Months
                                                              Ended March 31
                                                          ----------------------
Millions of dollars                                         1998           1997
- --------------------------------------------------------------------------------
After-tax earnings                                            13             102
Special items:
     Deferred tax adjustment ....................            (21)              1
- --------------------------------------------------------------------------------
Adjusted after-tax earnings .....................           $ 34            $101
- --------------------------------------------------------------------------------

During the first  quarter of 1998,  international  adjusted  after-tax  earnings
decreased  compared  with 1997  results  primarily  due to  substantially  lower
average  sales  prices  for crude oil and  natural  gas,  increased  exploration
expenses and higher current income taxes in Thailand.

Compared  with the first  quarter  of 1997,  total  international  crude oil and
condensate  average  sales prices  decreased 35 percent to $13.50 per barrel and
natural gas average sales prices decreased by 14 percent to $2.04 per mcf.

During the first quarter of 1998, crude oil and condensate  production  remained
at the 1997 level of 120  thousand  barrels per day and  natural  gas  increased
slightly  from the 1997 level of 872  million  cubic feet  (mmcf) per day to 878
mmcf per day.

During the first quarter of 1998,  exploration  expense was higher by $7 million
(after-tax), primarily due to increased exploration activities in Indonesia.

GLOBAL TRADE

The Global Trade group handles the company's worldwide crude oil, condensate and
natural gas marketing and trading activities.  Global Trade also purchases crude
oil,  condensate  and natural gas from the  company's  joint  venture  partners,
royalty owners and other unaffiliated oil and gas producers for resale.

During the first  quarters of 1998 and 1997 Global  Trade's  after-tax  earnings
were $6 million.

GEOTHERMAL AND POWER OPERATIONS

The Geothermal and Power  Operations  segment  explores for,  produces and sells
geothermal  resources,  and  constructs and operates  electric power  generation
plants and sells the related electricity.

First quarter 1998 and 1997 adjusted  after-tax earnings were $14 million and $6
million, respectively.  Improved 1998 earnings were primarily the result of a 31
percent   increase  in  power   generation  and  related  sale  of  electricity,
principally  from the  Indonesian  Salak  field Units 3 through 6, which came on
line during the fourth quarter of 1997.
Partially offsetting these positive factors were higher dry hole provisions.

                                       12
<PAGE>

ITEM 2.  MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS
OF OPERATIONS (CONTINUED)

DIVERSIFIED BUSINESS GROUP

                                                           For the Three Months
                                                             Ended March 31
                                                        -----------------------
Millions of dollars                                           1998         1997
- -------------------------------------------------------------------------------
After-tax earnings
   Agricultural Products ............................         $  9          $ 20
   Carbon and Minerals ..............................           15            10
   Pipelines ........................................           15            14
   Other ............................................          --              1
- --------------------------------------------------------------------------------
   Total ............................................           39            45
Special items:
   Carbon and Minerals (Litigation) .................           (1)          --
- -------------------------------------------------------------------------------
Adjusted after-tax earnings .........................         $ 40          $ 45
- --------------------------------------------------------------------------------

The Diversified Business group's lower adjusted after-tax earnings for the first
quarter  of  1998  were  primarily  due to  lower  margins  on the  Agricultural
Products' export sales activity.  The lower export sales activity was the result
of lower sales prices and production  volumes at the Kenai,  Alaska plant.  This
negative impact to earnings was partially offset by higher Agricultural Products
export sales volumes and sales margins associated with its West Coast operation.
The  higher  adjusted  net  earnings  for the  Carbon  and  Minerals  group were
primarily due to increased earnings from its Brazilian affiliate.

CORPORATE AND UNALLOCATED

Corporate and Unallocated  expense  includes  general  corporate  overhead,  the
non-exploration  and production related activities of the New Ventures group and
other unallocated costs. Net interest expense represents  interest expense,  net
of interest income and capitalized interest.

                                                           For the Three Months
                                                                Ended March 31
                                                           ---------------------
Millions of dollars                                                1998    1997
- --------------------------------------------------------------------------------
After-tax earnings effect
   Administrative and general expense ..........................   $(11)   $(13)
   Net interest expense ........................................    (26)    (42)
   Environmental and litigation expense ........................    (33)    (11)
   New Ventures ................................................     (7)     (7)
   Other .......................................................      1     (14)
- --------------------------------------------------------------------------------
   Total .......................................................    (76)    (87)
Special items:
     Environmental and litigation provisions ...................    (32)     (9)
     Asset sales (Other) .......................................    --        4
- --------------------------------------------------------------------------------
   Total special items .........................................    (32)     (5)
- --------------------------------------------------------------------------------
Adjusted after-tax earnings effect from continuing operations ..   $(44)   $(82)
- --------------------------------------------------------------------------------

Net interest  expense  decreased 38 percent from the first  quarter of 1997 as a
result of a decreased debt level and increased capitalized  interest.  The Other
category  decreased  $15 million  primarily  due to  dividends  from a petroleum
industry mutual insurance company.  Asset sales for 1997 primarily  consisted of
the sale of a company airplane.

FINANCIAL CONDITION AND CAPITAL EXPENDITURES

For the first  three  months  of 1998,  cash  flow  from  operating  activities,
including working capital changes,  was $94 million,  compared with $334 million
in 1997. This decrease was principally due to lower commodity prices, payment to
Thailand
                                      13
<PAGE>

ITEM 2.  MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS
OF OPERATIONS (CONTINUED)

for 1997 income  taxes and  extension of payment  terms for certain  foreign and
domestic fertilizer sales.

Proceeds from asset sales were $4 million for the first three months of 1998 and
primarily consisted of miscellaneous real estate properties.

Consolidated  working capital at March 31, 1998 was $391 million, an increase of
$50 million from the year-end 1997 level of $341 million.

Capital expenditures for the first three months of 1998 totaled $326 million, an
increase of $40 million from the 1997 level of $286  million,  primarily  due to
increased drilling activities in the U.S. Gulf Coast.

The company's  total debt  including  capital leases was $2,428 million at March
31, 1998,  an increase of $258  million  from the year-end  1997 level of $2,170
million. The debt-to-total  capitalization ratio increased to 47 percent from 43
percent at year-end 1997.

During the first quarter of 1998,  the company  repurchased  approximately  1.33
million shares of common stock for a total cost of approximately $48 million.

ENVIRONMENTAL MATTERS

At  March  31,  1998,  the  company's  reserves  for  environmental  remediation
obligations  totaled $286 million,  of which $99 million was included in current
liabilities. During the first quarter, cash payments of $14 million were applied
against the reserve and an additional $32 million in  liabilities  were recorded
to the  reserve  account.  The  company  also  estimates  that  it  could  incur
additional remediation costs aggregating approximately $240 million as discussed
in  note  10 to the  consolidated  financial  statements.  The  company's  total
environmental reserve amount is grouped into the following five categories:

                                                                        March 31
Millions of dollars                                                        1998
- --------------------------------------------------------------------------------
   Superfund and similar sites ....................................         $ 21
   Former company-operated sites ..................................           26
   Company facilities sold with retained liabilities ..............           68
   Inactive or closed company facilities ..........................          140
   Active company facilities ......................................           31
- --------------------------------------------------------------------------------
      Total reserves ..............................................         $286
- --------------------------------------------------------------------------------

The additional $32 million in reserves were for estimated cleanup and associated
costs primarily for various company  facilities  where the company's  operations
have been closed or shut down, including the Avila Beach and Guadalupe sites. On
April 3, 1998, the California Central Coast Regional Water Quality Control Board
issued  Cleanup and Abatement  Orders for both sites.  The order for Avila Beach
requires  excavation  of the  affected  sections  of the  beach  and  town.  The
Guadalupe order requires  excavation of 18 locations and bioremediation at other
locations  of the site in addition to the  recovery  of  contaminants  utilizing
shallow wells.  Estimates for possible  additional  remediation costs related to
these  sites  are  included  in  the  $240  million  total  possible  additional
remediation costs disclosed in note 10 to the consolidated financial statements.
(See  notes  9 and 10 to  the  consolidated  financial  statements  for  related
information.)


                                       14
<PAGE>

ITEM 2.  MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS
OF OPERATIONS (CONTINUED)

OUTLOOK

Certain of the statements in this discussion,  as well as other  forward-looking
statements within this document, contain estimates and projections of amounts of
or increases in future revenues,  earnings,  cash flows,  capital  expenditures,
assets,  liabilities  and  other  financial  items  and of  future  levels of or
increases in reserves, production, sales including related costs and prices, and
other  statistical  items;  plans and  objectives  of  management  regarding the
company's  future  operations,  products and services;  and certain  assumptions
underlying  such  estimates,   projection  plans  and  objectives.  While  these
forward-looking  statements are made in good faith,  future  operating,  market,
competitive, legal, economic, political, environmental, and other conditions and
events  could  cause  actual  results  to differ  materially  from  those in the
forward-looking statements.

The current  economic  problems  continue to be  significant  in  Indonesia  and
Thailand.  The company remains optimistic about Asia's long-term economic growth
and is working  closely with host  governments and business  associates  through
this difficult period.

The  company  expects  energy  prices to remain  volatile in 1998 due to climate
conditions,  the  production  quotas  set by OPEC  and the ongoing  developments
between Iraq and the United Nations.

As a result of the  current  crude oil price  outlook,  the  company  expects to
reduce its capital  spending  below the original  1998 forecast of $1.5 billion.
Estimated expenditures for the full year 1998 are expected to total between $1.3
and $1.4 billion. The company is also reducing its expectations for 1998 oil and
gas  production  levels from the United States Lower 48 by about five percent to
178,000  barrels  of oil  equivalent  (boe)  per day  compared  with an  earlier
forecast  of 188,000  boe per day.  However,  long-term,  high-potential  growth
projects in Indonesia, Bangladesh, Argentina and the Caspian Sea, as well as the
exploration of high-potential prospects in shelf and deepwater areas of the Gulf
of Mexico, are expected to proceed as planned. The company is focused on reserve
replacement from  high-potential  prospects,  rather than short-term projects to
boost production.

ITEM 3.  QUANTITATIVE AND QUALITATIVE DISCLOSURES ABOUT MARKET RISK.

Market risk generally  represents the risk that losses may occur in the value of
financial  instruments  as a result of  movements  in  interest  rates,  foreign
currency  exchange  rates and  commodity  prices.  As part of its  overall  risk
management  strategies,  the company uses  derivative  financial  instruments to
manage and reduce risks associated with these factors.  The following discussion
and analysis focuses on significant  changes in the company's position regarding
these risk factors since year end 1997.

Interest  Rate Risk - The  company's  primary  market  exposure  for  changes in
interest rates relates to the company's long term debt  obligations.  During the
first  quarter  of 1998,  the  company  increased  its  outstanding  debt  level
(excluding  capital lease  obligations)  by $258 million or twelve  percent,  to
$2,426 million from its year end 1997 level of $2,168 million  primarily through
the additional issuance of commercial paper. The addition was principally due to
increased cash requirements for capital  expenditures and lower than anticipated
first quarter  commodity  prices.  The company expects to have cash available to
repay a portion of the commercial paper borrowings in 1998 through a combination
of cash  generated  by  operations,  sales of  assets,  new debt  offerings  and
decreases in planned  capital  spending.  However,  a continuation  of depressed
commodity  prices may lead to a further  increase in the company's debt level at
December 31, 1998. The following  table provides  principal  amounts and related
weighted average  interest rates for the company's  outstanding debt obligations
at March 31, 1998 by expected  maturity dates and constitutes a  forward-looking
statement.  Circumstances  could  arise which may cause the timing and amount of
actual cash flows to differ materially from the projections.

                                       15
<PAGE>

ITEM 3.  QUANTITATIVE AND QUALITATIVE DISCLOSURES ABOUT MARKET RISK (CONTINUED)

<TABLE>
<CAPTION>
Debt Obligation Principal Amounts by Expected Maturity Dates at March 31, 1998
(excludes capital leases)
                                                                                                                             Fair
Millions of U.S. dollars                                               1998-2002      There-after         Total              Value
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                                                                      <C>            <C>               <C>               <C>   
Fixed rate ...................................................           $ --           $1,744            $1,744            $1,868
  Average Interest Rates .....................................                            8.18%             8.18%
Fixed rate (DM denominated) (a) ..............................             --              135               135               135
  Average Interest Rates .....................................             --            6.125%            6.125%
Variable rate ................................................             --              547               547               547
  Average Interest Rates .....................................             --             5.94%             5.94%
- ------------------------------------------------------------------------------------------------------------------------------------
                                                                         $ --           $2,426            $2,426            $2,550
- ------------------------------------------------------------------------------------------------------------------------------------
</TABLE>

(a)  The underlying  debt  obligation is a 6.125 percent  Deutsche Mark (DM) 250
     million bond which was hedged by a currency swap agreement. Under the terms
     of the  currency  swap  agreement,  the company was to pay $110 million and
     receive DM 250  million at  maturity.  On May 6, 1998,  the DM bond and the
     currency swap agreement  matured.  The company  retired the DM bond with DM
     250 million  received  from the currency swap  agreement.  The company used
     proceeds  received  from  two  new  debt  issues  to pay its  $110  million
     obligation  under the  currency  swap  agreement  and to retire  commercial
     paper. See note 12 to the consolidated financial statements for information
     regarding the new debt issues.

Foreign  exchange rate risk - Due to the recent  volatility in foreign  currency
exchange rates,  the company  entered into foreign  currency  forward  contracts
primarily to lock in exchange  rates for funds to be converted to U.S.  dollars.
At March 31, 1998, the company had four foreign currency forward contract hedges
outstanding related to its Thailand oil and gas operations with notional amounts
totaling $35 million.  Two of the outstanding  contracts call for the company to
pay  920,100,000  Thai baht in exchange  for $20  million  (U.S.) at maturity on
April  9,  1998.  The  remaining  two  contracts  call  for the  company  to pay
584,500,000  Thai baht in exchange for $15 million  (U.S.) at maturity on May 8,
1998. The contracts had a total value of approximately  $32 million (U.S.) based
upon the exchange  rates in effect on March 31, 1998.  The company will continue
to monitor  its  exposure to foreign  exchange  rate  volatility  as part of its
strategy to mitigate foreign currency risks.

Commodity price risk - The company  generally uses  hydrocarbon  commodity based
derivative  financial  instruments,  such as options or futures  contracts  with
maturities  of 18 months or less,  to mitigate its exposure to  fluctuations  in
petroleum commodity prices. The company also trades hydrocarbon-based derivative
financial  instruments on a limited basis. The company has controls in place and
monitors its trading activities to ensure compliance.

The  company  uses a value  at risk  model  to  assess  the  market  risk of its
commodity price  sensitive  derivative  financial  instruments for internal risk
management  purposes.  Value at risk represents the potential loss in fair value
the  company  would  experience  on its  commodity  price  sensitive  derivative
financial  instruments,  using calculated  volatilities and correlations  over a
specified time period with a given confidence  level. The company's  calculation
model is based on  historical  data and uses a one week time  interval  and a 95
percent  confidence  level. The total amount of commodity  derivative  financial
instruments  held for trading  purposes and purposes other than trading were not
material at March 31, 1998. Based upon the company's  calculations,  the risk of
loss  in  fair  value  associated  with  commodity  price  sensitive  derivative
financial instruments at March 31, 1998 was immaterial.

                           PART II - OTHER INFORMATION

ITEM 1.   LEGAL PROCEEDINGS

There is incorporated by reference the information with respect to certain legal
proceedings previously reported in Item 1 of Unocal's Annual Report on Form 10-K
for the year ended December 31, 1997 (1997 Form 10-K), the information regarding
environmental  remediation  reserves  in  note 9 to the  consolidated  financial
statements  in  Item  1  of  Part  I  hereof,  the  discussion  thereof  in  the
Environmental Matters section of Management's' Discussion and Analysis in Item 2
of Part I, and the  information  regarding  certain legal  proceedings and other
contingent liabilities in note 10 to the consolidated financial

                                       16
<PAGE>

ITEM 1.   LEGAL PROCEEDINGS (CONTINUED)

         statements.

(1)      In Citizens  for a Better  Environment,  et al. v. Union Oil Company of
         California, described in Paragraph (3) of Item 3 of the 1997 Form 10-K,
         the  trial has been  postponed  to  September  1998  while the  parties
         continue with mediation in an attempt to settle the case.

(2)      With  reference  to the  matters  involving  the  Guadalupe  oil field,
         described in Paragraph (4) of Item 3 of the 1997 Form 10-K, a letter of
         intent (LOI) to settle the civil  proceeding  brought by the California
         Attorney  General was  executed by the parties in April 1998;  however,
         final documentation and court approval are still necessary.  The County
         of San Luis Obispo certified the  Environmental  Impact Report (EIR) in
         late March  1998,  and on April 3, 1998,  the  Regional  Water  Quality
         Control   Board   (RWQCB)   issued  a  Cleanup  and   Abatement   Order
         substantially reflecting the agreement reached in the LOI.

(3)      With  reference  to the  matters  involving  the town of  Avila  Beach,
         California, described in Paragraph (5) of Item 3 of the 1997 Form 10-K,
         on April 3, 1998, the RWQCB  certified the EIR and issued a Cleanup and
         Abatement Order.

(4)      With reference to the preliminary determinations of underpaid royalties
         described  in  Paragraph  (10) of Item 3 of the  1997  Form  10-K,  the
         company has now received notices from the U.S.  Department of Interior,
         Minerals  Management  Service,  alleging  underpaid  royalties totaling
         approximately  $48  million,  as  well  as  undetermined  late  payment
         charges.

(5)      With reference to the matters involving the Mountain Pass,  California,
         lanthanide  facility  of  the  company's  Molycorp,   Inc.  (Molycorp),
         subsidiary,  described  in  Paragraph  (14) of Item 3 of the 1997  Form
         10-K,  on March 5, 1998,  Molycorp was served by the Lahontan  Regional
         Water  Quality  Control  Board  (LRWQCB)  with  a  Notice  of  Proposed
         Administrative  Civil  Liability  which  seeks civil  penalties  in the
         amount  of  approximately  $550,000  for  alleged  failures  to  submit
         self-monitoring  reports  and  discharge  reports  in a timely  manner.
         Molycorp has the opportunity to contest the proposed civil penalties at
         a hearing scheduled in July 1998. In addition,  the LRWQCB issued three
         Cleanup and Abatement Orders on March 25, 1998, relating to the present
         wastewater   evaporation  pond,  a  former  and  now-closed  wastewater
         evaporation  pond,  and the mine  and mill  site,  all  located  at the
         Mountain  Pass  facility.   These  three  orders  do  not  carry  civil
         penalties,  but may require significant  expenditures for environmental
         investigation and remediation.

(6)      With reference to the matter involving the company's former refinery in
         Rodeo,  California,  described in Paragraph  (18) of Item 3 of the 1997
         Form 10-K, in April 1998 the company settled the claims of the Bay Area
         Air Quality  Management  District  for  aggregate  civil  penalties  of
         $285,000, which was paid in May.

ITEM 2.   CHANGES IN SECURITIES

During the first quarter of 1998,  the company  awarded 4,496  restricted  stock
units to nonemployee directors pursuant to the terms of the company's Directors'
Restricted Stock Plan. The units were not registered under the Securities Act of
1933 (the Act) in reliance upon the  exemption  contained in Section 4(2) of the
Act for transactions by an issuer not involving any public  offering.  The units
were  awarded  (1) in  consideration  of  the  prior  election  by  each  of the
nonemployee  directors to defer all or a portion of his or her cash fees and (2)
upon the credit of dividend  equivalents upon units previously issued. The units
are paid out in an equal number of shares of Unocal common stock at the end of a
restriction  period  elected  by  each  director,  or  upon  his or her  earlier
termination of service as a director.

During the first  quarter of 1998,  Unocal  issued 46 shares of its common stock
upon the conversion of 40 of the 6-1/4% trust convertible  preferred  securities
of Unocal Capital Trust.  The common shares were not registered under the Act in
reliance  upon  the  exemption  contained  in  Section  3(a)(9)  of the  Act for
securities   exchanged  by  the  issuer  with  its   existing   security-holders
exclusively where no commission or other  remuneration is paid or given directly
or indirectly for soliciting such exchange.

ITEM 6.   EXHIBITS AND REPORTS ON FORM 8-K

     (a)  Exhibits:  The  Exhibit  Index  on page 20 of this  report  lists  the
          exhibits that are filed as part of this report.

     (b)  Reports on Form 8-K:

                                       17
<PAGE>

ITEM 6.   EXHIBITS AND REPORTS ON FORM 8-K (CONTINUED)

                 Filed during the first quarter of 1998:

                 1. Current Report on Form 8-K dated and filed January 28, 1998,
                    for the purpose of  reporting,  under Item 5, the  company's
                    fourth  quarter  and full year  1997  earnings  and  related
                    information.

                 2. Current Report on Form 8-K dated February 13, 1998 and filed
                    February 17, 1998, for the purpose of reporting,  under Item
                    5,  the  company's   Unocal  Canada   Limited   subsidiary's
                    agreement  to exchange  certain of its  Canadian oil and gas
                    properties  with  Tarragon  Oil and Gas Limited for Tarragon
                    common stock and debentures.

                 3. Current Report on Form 8-K dated February 25, 1998 and filed
                    March 3, 1998,  for the purpose of reporting,  under Item 5,
                    the company's crude oil and natural gas reserve data.

                 Filed during the second quarter of 1998 to the date hereof:

                 1. Current  Report on Form 8-K dated  April 15,  1998 and filed
                    April 21, 1998, for the purpose of reporting,  under Item 5,
                    the  completion  of  Unocal  Canada   Limited   subsidiary's
                    exchange of certain of its Canadian  oil and gas  properties
                    with  Tarragon  Oil and Gas for  Tarragon  common  stock and
                    debentures.

                 2. Current  Report on Form 8-K dated  April 28,  1998 and filed
                    April 29, 1998, for the purpose of reporting,  under Item 5,
                    Unocal's   first   quarter   1998   earnings   and   related
                    information.


                                       18
<PAGE>


                                    SIGNATURE


Pursuant  to the  requirements  of the  Securities  Exchange  Act of  1934,  the
registrant  has duly  caused  this  report  to be  signed  on its  behalf by the
undersigned thereunto duly authorized.



                                      UNOCAL CORPORATION
                                         (Registrant)


Dated:  May 13, 1998                  By:   /s/ Joe D. Cecil
                                            ----------------
                                                Joe D. Cecil
                                                Vice President and Comptroller
                                                (Duly Authorized Officer and
                                                Principal Accounting Officer)



                                       19
<PAGE>



                                  EXHIBIT INDEX


     3    Bylaws of Unocal, as amended to be effective June 1, 1998.

     10   Amendments to 1985 and 1991 Incentive Plan Awards.

     12.1 Statement regarding  computation of ratio of earnings to fixed charges
          of Unocal for three months ended March 31, 1998 and 1997.

     12.2 Statement regarding  computation of ratio of earnings to fixed charges
          of Union Oil Company of  California  for the three  months ended March
          31, 1998 and 1997.

     27   Financial  data schedule for the period ended March 31, 1998 (included
          only  in the  copy  of  this  report  filed  electronically  with  the
          Commission).

                                       20


                                                                       EXHIBIT 3

                                     BYLAWS
                                       OF
                               UNOCAL CORPORATION
                             a Delaware corporation
                    (As Amended to be Effective June 1, 1998)



                                    ARTICLE I
                                   FISCAL YEAR

         Section 1. The fiscal year of Unocal  Corporation  (hereinafter  called
the "Corporation")  shall end on the thirty-first (31st) day of December of each
year.

                                   ARTICLE II
                                     OFFICES

         Section 1. Principal  Office.  The principal office for the transaction
of business of the  Corporation  is hereby  fixed and located at 2141  Rosecrans
Avenue, Suite 4000, in the City of El Segundo,  County of Los Angeles,  State of
California. The Board of Directors (hereinafter sometimes called the "Board") is
hereby granted full power and authority to change said principal office from one
location to another.

                                   ARTICLE III
                                  STOCKHOLDERS

         Section 1. Annual  Meetings.  The annual  meetings of the  stockholders
shall be held at 10:00  o'clock  A.M. on the fourth  (4th) Monday in May of each
year  if  not  a  legal  holiday,   for  the  purpose  of  electing   directors,
consideration  of  reports  of the  affairs  of the  Corporation,  and  for  the
transaction of any other business which is within the powers of the stockholders
and properly brought before the meeting.  If the fourth (4th) Monday in May is a
legal  holiday,  the annual meeting of the  stockholders  shall be held at 10:00
o'clock A.M. on the preceding or subsequent Monday as fixed by resolution of the
Board.

         Section 2. Notice of Meetings. Written notice of each annual or special
meeting of  stockholders  shall be given to each  stockholder  entitled  to vote
thereat not less than ten (10) nor more than sixty (60) days before the meeting.

         Section 3. Place of  Meetings.  All meetings of  stockholders,  whether
annual or special,  shall be held at the principal  office of the Corporation or
at such other place,  within or without the State of Delaware,  as the Board may
from time to time designate pursuant to authority hereinafter granted it. In the
absence  of any such  designation  stockholders'  meetings  shall be held at the
principal office of the Corporation.

                                       
<PAGE>

         Section 4. Voting Rights.  Stockholders entitled to vote at stockholder
meetings  shall be entitled to one (1) vote for each full share. A fraction of a
share or a  fractional  interest  in a share shall not be entitled to any voting
rights whatsoever.

     Section 5. Conduct of Meetings.  The decisions of the Chairman of the Board
or officer presiding at all  stockholders'  meetings shall govern in all matters
relating to the conduct of the meeting.

         Section 6.  Voting.  Directors  shall be divided into three (3) classes
with each director  serving a three (3)-year term. At each annual  meeting,  all
directors of one (1) class shall be elected in accordance with the provisions of
ARTICLE SEVENTH of the Corporation's Certificate of Incorporation by the holders
of shares entitled to vote in the election. A nomination shall be accepted,  and
votes  cast  for a  proposed  nominee  shall be  counted  by the  inspectors  of
election,  only if the Secretary of the  Corporation has received at least sixty
(60) days prior to the meeting a statement  over the  signature  of the proposed
nominee that such person consents to being a nominee and, if elected, intends to
serve as a  director.  Such  statement  shall  also  contain  the  Unocal  stock
ownership  of the proposed  nominee,  occupations  and business  history for the
previous  five (5) years,  other  directorships,  names of business  entities in
which the  proposed  nominee  owns a ten (10)  percent or more equity  interest,
listing of any  criminal  convictions,  including  federal  or state  securities
violations,  and all other  information  as would be required to be disclosed in
solicitations  of proxies for the election of such nominee as director  pursuant
to Regulation 14A under the Securities Exchange Act of 1934, as amended.

         Section  7.  Notice of  Stockholder  Business.  At any  meeting  of the
stockholders,  only such business shall be conducted as shall have been properly
brought before the meeting.  To be properly  brought before a meeting,  business
must be (a) specified in the notice of meeting (or any supplement thereto) given
by or at the direction of the Board of Directors, (b) otherwise properly brought
before the  meeting by or at the  direction  of the Board of  Directors,  or (c)
otherwise  properly  brought before the meeting by a stockholder or a beneficial
owner of the  Corporation's  stock  ("Proponent").  For  business to be properly
brought before the meeting by a Proponent, such business must be a proper matter
for  stockholder  action  under  the  general  corporation  law of the  state of
Delaware, and the Secretary must have received at least sixty (60) days prior to
the meeting written notice by the Proponent  containing (a) a brief  description
of each matter  desired to be brought  before the meeting,  (b) the  Proponent's
name and address,  as they appear on the Corporation's  books, (c) the class and
the  number of shares of the  Corporation  which are  beneficially  owned by the
Proponent  and, if the  Proponent is a  beneficial  owner,  proof of  beneficial
ownership,  (d) any material interest of the Proponent in such business,  (e) an
indication as to whether the Proponent  intends to solicit or participate in the
solicitation  of proxies in favor of such  business,  and (f) as to each  person
whom the  Proponent  proposes  to  nominate  for  election  or  reelection  as a
director,  all  information  relating  to such person as would be required to be
disclosed  in  solicitations  of proxies  for the  election  of such person as a
director  pursuant to Regulation 14A under the Securities  Exchange Act of 1934,
as amended.  Notwithstanding anything in the Bylaws to the contrary, no business
shall be conducted at a meeting  except in accordance  with the  procedures  set
forth herein.

         Section  8.  Quorum.  The  holders  of  one-third  (1/3)  of all of the
outstanding shares of the stock of the Corporation entitled to vote at a meeting
of  stockholders,  present in person or by 
                                       2
<PAGE>

proxy,  shall  constitute a quorum for the  transaction  of any business at such
meeting.

                          ARTICLE IV BOARD OF DIRECTORS

         Section 1. Powers.  Subject to the  limitations  of the  Certificate of
Incorporation of the Corporation and of the Delaware General  Corporation Law as
to action  which  shall be  authorized  or  approved  by the  stockholders,  all
corporate  powers  shall be  exercised  by or under the  authority  of,  and the
business  and  affairs  of the  Corporation  shall be  managed  by, the Board of
Directors.

     Section 2. Number.  The exact number of directors of the Corporation  shall
be nine (9) until changed in the manner provided by law.

         Section 3.  Chairman  and Vice  Chairman of the Board.  The Board shall
appoint a Chairman,  who shall preside at all meetings of the Board of Directors
and shall have such other powers and duties as may from time to time be assigned
by the  Board of  Directors  or  prescribed  by the  Bylaws.  The Board may also
appoint a Vice  Chairman,  who shall  preside  at all  meetings  of the Board of
Directors  in the absence of the  Chairman  and shall have such other powers and
duties  as may  from  time to time be  assigned  by the  Board of  Directors  or
prescribed by the Bylaws.

         Section 4. Annual Meetings.  Immediately  following each annual meeting
of  stockholders,  the Board  shall hold its annual  meeting  for the purpose of
organization, election of officers and the transaction of any other business.

     Section 5. Regular Meetings. Regular meetings of the Board shall be held at
the times and on the dates fixed by resolution of the Board.

         Section 6.  Special  Meetings.  Special  meetings  of the Board for any
purpose or purposes whatsoever may be called by the Chairman of the Board or the
Chief  Executive  Officer or, in the absence or inability of either of them,  by
the  President,  the  Chief  Financial  Officer,  or by at least  two (2) of the
directors at the time in office.

         Section 7. Notice of Meetings. Notice of annual meetings and of regular
meetings of the Board is hereby dispensed with.  Notice of special meetings must
be given  at  least  two (2)  days in  advance  if  given  by mail,  or at least
twenty-four (24) hours in advance if delivered  personally or given by telephone
or telegram.

         Section 8.  Place of  Meetings.  All  meetings  of the  Board,  whether
annual,  regular  or  special  meetings,  shall be held at any  place  within or
without the State of  Delaware  which has been  designated  from time to time by
resolution of the Board or in the notice of the meeting.  In the absence of such
designation all directors' meetings shall be held at the principal office of the
Corporation.

         Section  9.  Quorum.  A  majority  of the  exact  number  of  directors
specified in Section 2 of ARTICLE IV of the Bylaws shall  constitute a quorum of
the Board of Directors for the transaction of business;  provided, however, that
vacancies on the Board may be filled by a majority of the 

                                       3
<PAGE>

remaining directors, though less than a quorum, or by a sole remaining
director,  each such  director to hold office until a successor is elected at an
annual or special meeting of the stockholders.

         Section  10.  Compensation  of  Directors.  Directors  and  members  of
committees  appointed by the Board shall receive such compensation,  if any, for
their services,  and such  reimbursement for their expenses,  as may be fixed or
determined  by  resolution  of the Board.  The Board may,  however,  in any such
resolution  provide that directors who are also employees of the  Corporation or
any of its subsidiaries shall not receive  additional  compensation for services
as a director or member of a committee appointed by the Board.

     Section 11.  Indemnification  of Directors,  Officers,  Employees and Other
Agents.

         (a) Right to Indemnification. Each person who was or is made a party or
is  threatened  to be  made a party  to or  involved  in any  action,  suit,  or
proceeding,   whether  civil,   criminal,   administrative,   or   investigative
("Proceeding"),  by reason of the fact that he or she, or a person of whom he or
she  is the  legal  representative,  is or  was a  director  or  officer  of the
Corporation  or is or  was  serving  at the  request  of  the  Corporation  as a
director,   officer,   trustee,   or  fiduciary,   or  in  a  similar   capacity
(collectively,  "Agent")  of another  foreign or domestic  corporation,  limited
liability company, partnership, joint venture, trust, or any other enterprise or
entity  whatsoever,   including  without   limitation   employee  benefit  plans
(collectively,  "Affiliate"),  whether the basis of such  Proceeding  is alleged
action in an official  capacity,  or in any other  capacity  while  serving as a
director or officer of the Corporation or as an Agent of an Affiliate,  shall be
indemnified  and  held  harmless  by  the  Corporation  to  the  fullest  extent
authorized by the Delaware  General  Corporation  Law, as the same exists or may
hereafter be amended (but, in the case of any such amendment, only to the extent
that such amendment  permits the Corporation to provide broader  indemnification
rights  than  said  law  permitted  the  Corporation  to  provide  prior to such
amendment),   against  all  expense,  liability,  and  loss,  including  without
limitation,  attorneys' fees, judgments,  fines, ERISA excise taxes,  penalties,
amounts  paid or to be paid  in  settlement,  and  any  other  amounts  actually
incurred or suffered by such person in connection with any Proceeding;  and such
indemnification shall continue as to a person who has ceased to be a director or
officer  of the  Corporation  or Agent of an  Affiliate  and shall  inure to the
benefit of his or her heirs, executors, and administrators;  provided,  however,
that,  except as provided in paragraph  (b) hereof with  respect to  Proceedings
seeking to enforce rights to  indemnification,  the Corporation  shall indemnify
any such person seeking indemnification in connection with a Proceeding (or part
thereof)  initiated by such person only if such Proceeding (or part thereof) was
authorized  by  the  board  of  directors  of  the  Corporation.  The  right  to
indemnification  conferred in this Section  shall be a contract  right and shall
include  the  right  to be paid by the  Corporation  the  expenses  incurred  in
defending  any such  Proceeding in advance of its final  disposition;  provided,
however,  that, if the Delaware General Corporation Law requires, the payment of
such  expenses  incurred  by a director  or officer in his or her  capacity as a
director or officer  (and not in any other  capacity in which  service was or is
rendered  by  such  person  while  a  director  or  officer,  including  without
limitation,  service  to an  employee  benefit  plan) in  advance  of the  final
disposition of a Proceeding, shall be made only upon delivery to the Corporation
of an  undertaking,  by or on behalf of such  director or officer,  to repay all
amounts so advanced if it shall  ultimately be determined  that such director or
officer is not entitled to be indemnified  under this Section or otherwise.  The
Corporation  may,  to the

                                       4
<PAGE>

extent  authorized  from  time to time by its  board of  directors,  either on a
general basis or as to specific employees or agents, provide  indemnification to
employees  and agents of the  Corporation  with similar  scope and effect as the
foregoing indemnification of directors and officers.

         (b) Right to Bring Suit. If a claim under paragraph (a) of this Section
is not paid in full by the  Corporation  within  sixty (60) days after a written
claim has been  received by the  Corporation,  except in the case of a claim for
expenses  incurred in a Proceeding in advance of its final  disposition in which
case the  applicable  period  shall be twenty  (20)  days,  the  person  seeking
indemnification (the "Party to be Indemnified") may at any time thereafter bring
suit  against  the  Corporation  to recover the unpaid  amount of the claim.  If
successful  in whole or in part in any such  suit,  or in a suit  brought by the
Corporation to recover an  advancement  of expenses  pursuant to the terms of an
undertaking,  the Party to be Indemnified  shall be entitled to be paid also the
expense of prosecuting or defending such claim. The  Corporation's  sole defense
to an action seeking  indemnification (other than an action brought to enforce a
claim for expenses  incurred in  defending a Proceeding  in advance of its final
disposition  where  the  required  undertaking,  if any is  required,  has  been
tendered to the  Corporation)  shall be that the Party to be Indemnified has not
met the  standards  of conduct  which  make it  permissible  under the  Delaware
General  Corporation  Law for the  Corporation  to  indemnify  the  Party  to be
Indemnified  for the amount  claimed,  and the burden of providing  such defense
shall be on the Corporation.  Neither the failure of the Corporation  (including
its board of directors,  its independent legal counsel,  or its stockholders) to
have  made a  determination  prior  to the  commencement  of  such  action  that
indemnification  of the Party to be Indemnified  is proper in the  circumstances
because he or she has met the  applicable  standard  of conduct set forth in the
Delaware General Corporation Law, nor an actual determination by the Corporation
(including  its  board of  directors,  its  independent  legal  counsel,  or its
stockholders)  that the  Party  to be  Indemnified  has not met such  applicable
standard  of conduct,  shall be a defense to the action or create a  presumption
that the Party to be Indemnified has not met the applicable standard of conduct.

         (c)  Non-Exclusivity of Rights.  The right to  indemnification  and the
payment of expenses  incurred in defending a Proceeding  in advance of its final
disposition  conferred in this Section shall not be exclusive of any other right
which any person may have or hereafter  acquire under any statute,  provision of
the  Certificate of  Incorporation,  Bylaw,  agreement,  vote of stockholders or
disinterested directors, or otherwise.

         (d) Insurance. The Corporation shall maintain in full force and effect,
at its own  expense,  director  and officer  liability  insurance  ("Insurance")
coverage  for  each  director  and  officer  in  amounts  and  scope at least as
favorable as that  maintained by the  Corporation  on September 30, 1996, or, to
the extent more favorable,  any Insurance  policy entered into or renewed by the
Corporation  following  such  date.   Notwithstanding  the  foregoing,   if  the
Corporation,  after using its best  efforts,  cannot  obtain and  purchase  such
coverage  for an amount no more than what it paid for the most  recent  expiring
Insurance policy plus a reasonable additional amount, the Corporation shall only
be  required  to  purchase  such  Insurance  coverage  for any  act or  omission
occurring at or prior to the time of such date.

         (e)  Enforceability;  Amendment.  The rights  provided to any person by
this bylaw shall 

                                       5
<PAGE>

be enforceable  against the Corporation by such person, who shall be presumed to
have relied upon it in serving or continuing  to serve as an Agent,  as provided
above.  No amendment of this bylaw shall impair the rights of any person arising
at any time with respect to events occurring prior to such amendment, including,
without limitation,  any right of a director or officer to Insurance for any act
or omission occurring at or prior to the time of such amendment.

         Section 12. Authority to Designate Place of Stockholders' Meetings. The
Board is hereby  granted full power and authority to designate from time to time
any place  within  or  without  the State of  Delaware  for the  holding  of any
stockholders' meeting.

         Section 13. Committees.  The Board may, by resolution,  appoint one (1)
or more committees, in addition to an Executive Committee and a Board Management
Committee,  to consist of two (2) or more of the  directors of the  Corporation,
and  prescribe  their  duties and powers.  A majority of the members of any such
committee  may  determine  its action and fix the time and place of its meetings
unless the Board shall otherwise provide.  The Board shall have the power at any
time to fill  vacancies in, to change the membership of, or to dissolve any such
committee.

         Section 14. Action by Written Consent. Any action required or permitted
to be taken by the  Board  or any  committee  thereof  may be  taken  without  a
meeting,  if all  members  of the Board or such  committee,  as the case may be,
shall  individually  or  collectively  consent in writing to such  action.  Such
written  consent or consents shall be filed with the minutes of the  proceedings
of the Board.

         Section 15.  Conference  Calls.  Members of the Board or any  committee
thereof may  participate  in a meeting  through use of  conference  telephone or
similar communications  equipment,  so long as all members participating in such
meeting can hear one another.

                                    ARTICLE V
                               EXECUTIVE COMMITTEE

         Section 1. Number and Composition. The Board of Directors shall appoint
from its  membership,  annually,  an  Executive  Committee  of three (3) or more
directors.  Included on the  Executive  Committee  shall be the Chief  Executive
Officer of the  Corporation.  Each member of the Executive  Committee shall hold
membership at the pleasure of the Board, which shall have the exclusive power to
fill  vacancies  thereon  as they  may  occur.  The  Chairman  of the  Executive
Committee shall be the Chief Executive Officer of the Corporation.

         Section 2.  Powers.  The  Executive  Committee,  during  the  intervals
between meetings of the Board,  shall have and there is hereby granted to it all
the powers and  authority  of the Board of Directors  in the  management  of the
business and affairs of the  Corporation,  except that the  Executive  Committee
shall not be  permitted  to fill  vacancies  on the  Board or on any  committee,
approve  any action  for which  stockholder  approval  is also  required  by the
Delaware  General  Corporation  Law, amend or repeal any resolution of the Board
which by its express terms is not so amendable or  repealable,  or appoint other
committees  of the Board or the  members  thereof  and shall not have any powers
restricted by Section 141(c) of the Delaware General  Corporation Law unless the
Board shall have specifically  delegated authority to the Executive Committee to
take 

                                       6
<PAGE>

action with  respect to a matter  listed in such Section as permitted to be
so delegated.

         Section 3. Procedure.  Two (2) members of the Executive Committee shall
constitute a quorum of the Executive  Committee for the transaction of business.
The Executive Committee, by vote of a majority of its members, shall fix its own
times and places of meetings and shall prescribe its own rules of procedure;  no
change in which shall be made save by a majority vote of its members.

         Section 4.  Records and Reports.  The  Executive  Committee  shall keep
regular  minutes of all business  transacted at its meetings,  and all action of
the  Executive  Committee  shall be  reported  to the Board at its next  ensuing
meeting.

     Section 5.  Compensation.  Members of the  Executive  Committee may receive
such compensation,  if any, for their services, and such reimbursement for their
expenses, as may be fixed or determined by the Board.

                                   ARTICLE VI
                           BOARD MANAGEMENT COMMITTEE

         Section 1. Number and Composition. The Board of Directors shall appoint
from its membership,  annually,  a Board  Management  Committee  composed of the
directors  who are  salaried  officers of the  Corporation.  The Chairman of the
Board  Management  Committee  shall  be  the  Chief  Executive  Officer  of  the
Corporation.

         Section 2. Powers. The Board Management Committee, during the intervals
between meetings of the Board,  shall have and there is hereby granted to it all
the powers and  authority  of the Board of Directors  in the  management  of the
business and affairs of the Corporation,  subject to approval limits established
by resolution of the Board of Directors as deemed appropriate from time to time,
but the Board  Management  Committee shall not be permitted to fill vacancies on
the Board or on any committee,  appoint  officers,  approve any action for which
stockholder  approval is also required by the Delaware General  Corporation Law,
amend or repeal any resolution of the Board or of the Executive Committee, which
by its  express  terms is not so  amendable  or  repealable,  or  appoint  other
committees  of the Board or the  members  thereof  and shall not have any powers
restricted by Section 141(c) of the Delaware General  Corporation Law unless the
Board  shall  have  specifically  delegated  authority  to the Board  Management
Committee  to take action  with  respect to a matter  listed in such  Section as
permitted to be so delegated.

         Section 3. Procedure. Two (2) members of the Board Management Committee
shall constitute a quorum of the Board Management  Committee for the transaction
of  business.  The Board  Management  Committee,  by vote of a  majority  of its
members, shall fix its own times and places of meetings, and shall prescribe its
own rules of procedure; no change in which shall be made save by a majority vote
of its members.

     Section 4.  Records.  The Board  Management  Committee  shall keep  regular
minutes of all business transacted at its meetings.

                                       7
<PAGE>

                                   ARTICLE VII
                                    OFFICERS

         Section 1. Officers.  The officers of the Corporation  shall be a Chief
Executive Officer, a President,  a Chief Financial Officer, a Vice President,  a
Secretary,  a  Comptroller,   a  Treasurer,  and  a  Chief  Legal  Officer.  The
Corporation  may also have,  at the  discretion  of the  Board,  one (1) or more
additional Vice Presidents,  one (1) or more Assistant  Secretaries,  one (1) or
more Assistant Treasurers,  and one (1) or more Assistant Comptrollers,  and the
Board may appoint such other officers as it may deem necessary or advisable, who
shall have such  authority  and perform  such duties as from time to time may be
prescribed  by the Board,  the  Chairman  of the Board,  or the Chief  Executive
Officer. Any two (2) or more offices may be held by the same person.

         Section 2. Election and Removal.  The officers of the Corporation shall
be chosen annually by the Board at its annual meeting and each shall hold office
until the corresponding annual meeting of the Board in the next year and until a
successor shall be elected and qualified  unless such officer shall  theretofore
resign or shall be removed or  otherwise  disqualified  to serve.  The Board may
remove any  officer  either  with or without  cause or under such other terms or
conditions as it may prescribe. Vacancies may be filled by the Board as they may
occur.

         Section 3.  Powers and Duties.

         (a) Chief Executive  Officer.  The Chief Executive Officer shall be the
officer,  reporting directly to the Board, responsible for overall management of
the Corporation and shall have general  supervision,  direction and control over
the  business  and  affairs  of the  Corporation  and its  officers.  The  Chief
Executive Officer shall be a member of the Executive  Committee and of the Board
Management  Committee and in general  shall  perform all duties  incident to the
office of Chief  Executive  Officer and shall have such powers and duties as may
from time to time be assigned by the Board of  Directors  or  prescribed  by the
Bylaws.

         (b)  President.  The  President  in general  shall  perform  all duties
incident  to the office of  President,  and shall have such powers and duties as
may from time to time be assigned by the Board of Directors, the Chief Executive
Officer or prescribed by the Bylaws.

         (c) Chief Financial  Officer and Vice  Presidents.  The Chief Financial
Officer and each Vice President shall have such authority and shall perform such
duties as shall from time to time be assigned by the Board,  the Chief Executive
Officer or prescribed by the Bylaws.

         (d) Secretary. The Secretary shall keep, or cause to be kept, a book of
minutes,  at the principal office and/or such other place or places as the Board
may order,  of all meetings of  directors  and  stockholders,  with the time and
place of holding, whether regular or special, and if special how authorized, the
notice thereof  given,  the names of those present at directors'  meetings,  the
number of shares  present or  represented  at  stockholders'  meetings,  and the
proceedings thereof.

         The Secretary  shall keep or cause to be kept at the principal  office,
or at the office of the  Corporation's  transfer agent, a stock register,  which
may be an electronic  database,  showing the 

                                       8
<PAGE>

names of the stockholders of record and their addresses,  the number and classes
of shares held by each,  the numbers  and dates of the  certificates  issued for
those shares,  and the numbers and dates of  cancellation  of every  certificate
surrendered for cancellation.

         The Secretary shall give or cause to be given notice of all meetings of
the stockholders and the Board required to be given by the Bylaws or by law. The
Secretary  shall have charge of and be custodian of the seal of the  Corporation
and the minute books and documents  relating to the existence and  governance of
the Corporation.

         The  Secretary  shall have such other  powers  and  perform  such other
duties as may from time to time be prescribed by the Board,  the Chairman of the
Board, the Chief Executive Officer or the Bylaws, and shall in general,  subject
to control  of the  Board,  the  Chairman  of the Board and the Chief  Executive
Officer, perform all the duties usually incident to the office of secretary of a
corporation.

         (e) Assistant  Secretaries.  Each Assistant  Secretary shall assist the
Secretary  and, in the absence or disability of the  Secretary,  may perform the
duties of the Secretary unless and until the contrary is expressed by the Board,
and may  perform  such  other  duties as may be  prescribed  by the Board or the
Secretary.

         (f) Treasurer.  The Treasurer  shall have custody of and be responsible
for all the monies and funds of the Corporation.  The Treasurer shall deposit or
cause to be deposited all Corporation  monies,  funds and other valuables in the
name and to the  credit  of the  Corporation  in such  bank or banks as shall be
judged proper or as shall be directed by the Board, the Chief Executive Officer,
or the Chief Financial Officer,  and shall disburse the funds of the Corporation
which have been duly approved for  disbursement.  The  Treasurer  shall enter or
cause to be entered  regularly in the books of the Corporation full and accurate
accounts of all monies received and paid out on account of the Corporation.

         The  Treasurer  shall have such other  powers  and  perform  such other
duties as may from time to time be prescribed by the Board,  the Chief Executive
Officer,  the Chief  Financial  Officer  or the  Bylaws,  and shall in  general,
subject  to control of the Board,  the Chief  Executive  Officer,  and the Chief
Financial  Officer,  perform  all the duties  usually  incident to the office of
treasurer of a corporation.

         (g) Assistant  Treasurers.  Each Assistant  Treasurer  shall assist the
Treasurer  and, in the absence or disability of the  Treasurer,  may perform the
duties of the Treasurer unless and until the contrary is expressed by the Board,
and shall  perform  such other duties as may be  prescribed  by the Board or the
Treasurer.

         (h)  Comptroller.  The  Comptroller  shall be the principal  officer in
charge of the  general  accounting  books,  accounting  records and forms of the
Corporation  and shall see that all monies and  obligations  due the Corporation
and all properties and assets are properly  accounted for. The Comptroller shall
prepare the  Corporation's  balance sheets,  income accounts and other financial
statements and reports,  and render to the Board,  the Chief Executive  Officer,
and the Chief Financial  Officer,  such periodic reports covering the results of
operations of the Corporation as may be required by them or any of them.

                                       9
<PAGE>

         The  Comptroller  shall have such other  powers and perform  such other
duties as may from time to time be prescribed by the Board,  the Chief Executive
Officer, the Chief Financial Officer or the Bylaws and shall in general, subject
to control of the Board,  the Chief Executive  Officer,  and the Chief Financial
Officer, perform all the duties usually incident to the office of comptroller of
a corporation.

         (I) Assistant Comptrollers. Each Assistant Comptroller shall assist the
Comptroller  and, in the absence or disability of the  Comptroller,  may perform
the duties of the Comptroller  unless and until the contrary is expressed by the
Board,  and shall perform such other duties as may be prescribed by the Board or
the Comptroller.

         (j) Chief Legal Officer.  The Chief Legal Officer shall be in charge of
the Corporation's legal affairs. The Chief Legal Officer shall advise the Board,
the Chairman of the Board and/or the officers of the  Corporation  on such legal
matters and prepare such reports as may be required by them or any of them.

                                  ARTICLE VIII
                                  MISCELLANEOUS

         Section 1.  Execution of  Documents.  Unless  otherwise  authorized  or
prescribed by the Board of Directors,  all contracts,  leases,  deeds,  deeds of
trust,  mortgages,  bonds,  indentures,  endorsements,  assignments,  powers  of
attorney,  and other  documents  and  instruments  of  whatsoever  kind shall be
executed for and on behalf of the  Corporation by the Chief  Executive  Officer,
the President, the Chief Financial Officer, a Vice President, the Treasurer, the
Comptroller, or by any such officer and shall be attested by the Secretary or an
Assistant Secretary, who shall have authority to affix the corporate seal to the
same.

         The Board also may  authorize,  and  delegate to any one (1) or more of
the Chief Executive  Officer,  the President and the Chief Financial Officer the
power to so authorize, any other officer or officers,  employee or employees, or
agent or agents,  to execute any  contract,  document or  instrument of whatever
kind for and on behalf of the  Corporation  and such authority may be general or
be confined to specific instances.

         Section 2.  Undertakings and Commitments.  No undertaking,  commitment,
contract,  instrument or document shall be binding upon the  Corporation  unless
previously  authorized or  subsequently  ratified by the Board or executed by an
officer or  officers,  an  employee  or  employees  or an agent or agents of the
Corporation acting under powers conferred by the Board or by these Bylaws.

         Section 3. Checks, Drafts, etc. All checks, notes and other obligations
for collection,  deposit or transfer, and all checks and drafts for disbursement
from Corporation  funds, and all bills of exchange and promissory notes, and all
acceptances,  obligations and other instruments for the payment of money,  shall
be endorsed or signed by such  officer or  officers,  employee or  employees  or
agent or agents as shall be thereunto  authorized from time to time by the Board
of  Directors,  which may  delegate  the power to so authorize to any one (1) or
more of the Chief  Executive  Officer,  the  President  and the Chief  Financial
Officer.

                                       10
<PAGE>

         Section  4.  Representation  of  Shares of Other  Corporations.  Shares
standing  in the name of the  Corporation  may be voted or  represented  and all
rights  incident  thereto may be exercised on behalf of the  Corporation  by the
Chief Executive  Officer,  the President,  the Chief Financial  Officer,  a Vice
President,  the Secretary,  the Treasurer or the  Comptroller,  or by such other
officers  upon whom the Board of  Directors  may from time to time  confer  like
powers.

                                   ARTICLE IX
                              AMENDMENTS TO BYLAWS

         Section  1. Power of  Stockholders.  New Bylaws may be adopted or these
Bylaws may be amended or repealed by the vote of  seventy-five  (75)  percent of
the outstanding stock of the Corporation entitled to vote thereon.

         Section 2. Power of Directors.  Subject to the right of stockholders as
provided  in  Section 1 of this  ARTICLE  IX to adopt,  amend or repeal  Bylaws,
Bylaws may be adopted, amended or repealed by the Board of Directors as provided
or  permitted  by law;  however,  any Bylaw  amendment  adopted  by the Board of
Directors  increasing or reducing the authorized number of directors or amending
this Section shall require a resolution  adopted by the affirmative  vote of not
less than seventy-five (75) percent of the directors.

                                    ARTICLE X
                                    EMERGENCY

         Section  1.  "Emergency"  as  used  in  this  Article  means  disorder,
disturbance  or damage  caused by war,  enemy  attack,  other warlike acts or by
catastrophe,  disaster or other similar emergency condition,  which prevents the
conduct and  management  of the affairs and business of the  Corporation  by the
Board of Directors and officers in the manner  provided for in other Articles of
these Bylaws.  The powers and duties conferred and imposed by this Article,  and
any  resolutions  adopted  pursuant  hereto,  shall be effective  only during an
emergency.  This  Article may be  implemented  from time to time by  resolutions
adopted by the Board of Directors  before or during an  emergency,  or during an
emergency  by the  emergency  Board of  Directors  constituted  and then  acting
pursuant hereto. An emergency, once commenced, shall be deemed to continue until
terminated by resolutions adopted for that purpose by the Board of Directors.

         Section  2.  If,  during  an  emergency,  a  majority  of the  Board of
Directors  cannot  be found or is unable  to act,  one-third  (1/3) of the exact
number of the Board of Directors shall constitute a quorum thereof.

         Section 3. During any  emergency,  the  officers  and  employees of the
Corporation  shall continue,  so far as possible,  to conduct the  Corporation's
affairs  and  business  under  the  guidance  of the Board of  Directors  acting
pursuant to this Article and in  accordance  with known  orders of  governmental
authorities.

         Section  4.  If,  during  any  emergency,  a  quorum  of the  Board  of
Directors,  as  provided  in  Section 3 of this  Article,  cannot be found or is
unable to act,  any three (3)  available  members  of the  Executive  Committee,
including the Chief  Executive  Officer,  shall be and  constitute  the Board

                                       11
<PAGE>

of Directors, with two (2) thereof constituting a quorum, and as such shall have
and  exercise the fullest  power of the Board of  Directors  for the conduct and
management  of the affairs and  business of the  Corporation,  permitted by law,
without  the  limitations  set forth in Section 2 of ARTICLE V of these  Bylaws,
provided that such emergency  Board of Directors as so constituted  shall comply
to the extent practicable under the circumstances with the provisions of ARTICLE
III of these Bylaws relating to annual and special meetings of stockholders.  If
three (3) members of the  Executive  Committee,  including  the Chief  Executive
Officer,  are not able to serve, any three (3) available  directors shall be and
constitute such emergency Board of Directors,  with two (2) thereof constituting
a quorum, for the exercise of the powers conferred and performance of the duties
imposed by this Section 4.

         Section 5. If, during any  emergency,  neither a quorum of the Board of
Directors,  as  provided  in  Section  3 of this  Article,  nor a quorum  of the
emergency  Board of  Directors,  as provided for in Section 4 of this Article is
available to serve,  then the powers  conferred and duties  imposed by Section 4
shall  vest in and  devolve  upon any  three (3) of (in the  following  order of
priority)  available  directors,  including  any one  (1) or  more of the  Chief
Executive Officer,  the President and the Chief Financial  Officer,  and as many
Vice Presidents (or, in case of their inability,  any other officers),  in order
of  seniority,  as may be necessary  from time to time to  constitute a total of
three (3) emergency directors. The Chief Executive Officer and any other one (1)
emergency  director  shall  constitute  a  quorum  of such  emergency  Board  of
Directors  for exercise of the powers  conferred and  performance  of the duties
imposed hereunder,  but if the Chief Executive Officer is not available, any two
(2) of such emergency directors shall constitute a quorum.

                                       12

                                                                      EXHIBIT 10
                          AMENDMENTS TO 1985 AND 1991
                              INCENTIVE PLAN AWARDS

         The   Compensation   Committee  of  the  Board  of  Directors   amended
outstanding  agreements and agreements to be used in future  covering  awards of
non-qualified Stock Options, Performance Share Units, and Restricted Stock under
the Management  Incentive Plan of 1991 and the Long-Term Incentive Plan of 1985.
The amendments are effective March 30, 1998 and provide for the  acceleration of
vesting,  the lapse of restrictions and the  acceleration of performance  cycles
upon the occurrence of certain Change in Control Events.

         Generally,  the amendments provide that upon the occurrence of a Change
in Control Event, the following shall occur:

         1.       Each  previously   granted  Stock  Option  and  related  Stock
                  Appreciation Right (SAR) will become  immediately  exercisable
                  in full (and the securities received upon the exercise thereof
                  shall  be  free  from  any  restriction   period  which  would
                  otherwise be applicable) and the  "restriction  period" of any
                  Restricted Stock  previously  issued upon any earlier exercise
                  of the Stock Option will immediately terminate.

         2.       All  restrictions  on  Restricted  Stock  shall  lapse and the
                  holder shall be entitled to the delivery of all such shares.

         3.       Each  previously   granted  Stock  Option  and  related  Stock
                  Appreciation Right (SAR) will become  immediately  exercisable
                  (and the securities  received upon the exercise  thereof shall
                  be free from any  restriction  period which would otherwise be
                  applicable)  and the  "restriction  period" of any  Restricted
                  Stock  previously  issued  upon any  earlier  exercise  of the
                  Option will immediately terminate.

         4.       Each  Performance  Share  Unit  will  become  payable  by  the
                  Company,  solely in cash,  as if the  applicable  award period
                  (performance  cycle) ended as of the occurrence of such Change
                  in Control  Event.  The  Committee  may  estimate  performance
                  measures for any period for which  annual  reports are not yet
                  available.

         As used in these  amendments,  a "Change in Control Event" means any of
the following:

     1.   Approval  by the  stockholders  of the Company of the  dissolution  or
          liquidation of the Company.

     2.   Approval by the  stockholders  of the Company of an agreement to merge
          or  consolidate,  or  otherwise  reorganize,  with or into one or more
          entities that are not subsidiaries or other controlled affiliates,  as
          a result of which less than 50% of the outstanding  voting  securities
          of  the   surviving  or  resulting   entity   immediately   after  the
          reorganization  are, or will be,  owned,  directly or  indirectly,  by
          stockholders  of the Company  immediately  before such  reorganization
          (assuming for purposes of such  determination  that there is no change
          in the

                                      
<PAGE>

          record ownership of the Company's  securities from the record date for
          such approval  until such  reorganization  and that such record owners
          hold no securities of the other  parties to such  reorganization,  but
          including in such determination any securities of the other parties to
          such   reorganization   held  by  subsidiaries  or  other   controlled
          affiliates of the Company).

         3.       Approval  by the  stockholders  of the  Company of the sale of
                  substantially all of the Company's business and/or assets to a
                  person or entity that is not a subsidiary or other  controlled
                  affiliate.

     4.   Any "person" (as such term is used in Sections  13(d) and 14(d) of the
          Securities  Exchange Act of 1934, as amended (the "Exchange Act"), but
          excluding any person  described in and  satisfying  the  conditions of
          Rule  13d-1(b)(1)  thereunder),  other  than  a  subsidiary  or  other
          controlled affiliate and other than an employee benefit plan sponsored
          by the Company or any of its  subsidiaries  or controlled  affiliates,
          becomes  the  beneficial  owner (as  defined in Rule  13d-3  under the
          Exchange  Act,  and except  pursuant to  customary  forms of revocable
          proxies  used in  connection  with annual  meetings of  stockholders),
          directly or indirectly, of securities of the Company representing more
          than  50%  of  the  combined   voting  power  of  the  Company's  then
          outstanding securities entitled to then vote generally in the election
          of directors of the Company. For purposes of this clause (4), a person
          shall be deemed to have the right to  acquire  outstanding  securities
          (and  thus  shall  become  the   beneficial   owner)  not  later  than
          immediately prior to the actual  acquisition of the securities if they
          are acquired pursuant to a tender or exchange offer subject to Section
          14(d)  of  the  Exchange  Act,  so  as  to  accord  the  Optionee  the
          opportunity  to exercise  the Stock  Option and tender the  underlying
          securities in the applicable tender or exchange offer.

     5.   During any period not longer than two consecutive  years,  individuals
          who at the  beginning  of such period  constituted  the Board cease to
          constitute at least a majority  thereof,  unless the election,  or the
          nomination  for election by the  Company's  stockholders,  of each new
          Board member was approved by a vote of at least  three-fourths  of the
          Board  members  then  still in office  who were  Board  members at the
          beginning of such period  (including for these  purposes,  new members
          whose election or nomination was so approved).

                                       2
<PAGE>





                                                                  EXHIBIT 12.1
                UNOCAL CORPORATION AND CONSOLIDATED SUBSIDIARIES
                COMPUTATION OF RATIO OF EARNINGS TO FIXED CHARGES








                                                            For the Three Months
                                                               Ended March 31
                                                             -------------------
Millions of dollars                                              1998      1997
- --------------------------------------------------------------------------------


Earnings from continuing operations ........................      $ 18      $188
Provision for income taxes .................................      $ 79      $149
- --------------------------------------------------------------------------------
         Earnings subtotal .................................        97       337
Fixed charges included in earnings:
   Interest expense ........................................      $ 41      $ 61
   Distribution on convertible preferred securities ........         8         8
   Interest portion of rentals .............................         6         7
- --------------------------------------------------------------------------------
         Fixed charges subtotal ............................        55        76
Earnings from continuing operations
   available before fixed charges ..........................      $152      $413
- --------------------------------------------------------------------------------
Fixed charges:
   Fixed charges included in earnings ......................      $ 55      $ 76
   Capitalized interest ....................................         8         5
- --------------------------------------------------------------------------------
         Total fixed charges ...............................      $ 63      $ 81
- --------------------------------------------------------------------------------
Ratio of earnings from continuing operations
   to fixed charges ........................................       2.4       5.1
- --------------------------------------------------------------------------------




                                                                  EXHIBIT 12.2

          UNION OIL COMPANY OF CALIFORNIA AND CONSOLIDATED SUBSIDIARIES
                COMPUTATION OF RATIO OF EARNINGS TO FIXED CHARGES








                                                          For the Three Months
                                                             Ended March 31
                                                       ------------------------
Millions of dollars                                              1998      1997
- --------------------------------------------------------------------------------


Earnings from continuing operations ......................       $ 23       $193
Provision for income taxes ...............................         83        152
 -------------------------------------------------------------------------------
      Earnings subtotal ..................................        106        345
Fixed charges included in earnings:
   Interest expense ......................................         41         61
   Interest portion of rentals ...........................          6          7
- --------------------------------------------------------------------------------
      Fixed charges subtotal .............................         47         68
Earnings from continuing operations
   available before fixed charges ........................        153        413
- --------------------------------------------------------------------------------
Fixed charges:
   Fixed charges included in earnings ....................         47         68
   Capitalized interest ..................................          8          5
- --------------------------------------------------------------------------------
      Total fixed charges ................................       $ 55       $ 73
- --------------------------------------------------------------------------------
Ratio of earnings from continuing operations
    to fixed charges .....................................        2.8        5.7
- --------------------------------------------------------------------------------
 

<TABLE> <S> <C>


<ARTICLE>                            5
<LEGEND>
Unocal Corporation FDS
</LEGEND>
<MULTIPLIER>                 1,000,000
       
<S>                                <C>
<PERIOD-TYPE>                   3-MOS
<FISCAL-YEAR-END>              DEC-31-1998
<PERIOD-START>                 JAN-01-1998
<PERIOD-END>                   MAR-31-1998
<CASH>                             275
<SECURITIES>                         0
<RECEIVABLES>                      881
<ALLOWANCES>                       (33)
<INVENTORY>                        165
<CURRENT-ASSETS>                 1,373
<PP&E>                          14,992
<DEPRECIATION>                 (10,040)
<TOTAL-ASSETS>                   7,578
<CURRENT-LIABILITIES>              982
<BONDS>                          2,427
                0
                          0
<COMMON>                           252
<OTHER-SE>                       2,452
<TOTAL-LIABILITY-AND-EQUITY>     7,578
<SALES>                          1,171
<TOTAL-REVENUES>                 1,207
<CGS>                              747
<TOTAL-COSTS>                    1,110
<OTHER-EXPENSES>                    97
<LOSS-PROVISION>                     0
<INTEREST-EXPENSE>                  41
<INCOME-PRETAX>                     97
<INCOME-TAX>                        79
<INCOME-CONTINUING>                 18
<DISCONTINUED>                       0
<EXTRAORDINARY>                      0
<CHANGES>                            0
<NET-INCOME>                        18
<EPS-PRIMARY>                      .07
<EPS-DILUTED>                      .07
        


</TABLE>


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