TEL OFFSHORE TRUST
10-K/A, 1998-09-16
OIL ROYALTY TRADERS
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                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

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


                                   FORM 10-K/A
                                (Amendment No. 2)

|X|  Annual Report  Pursuant to Section 13 or 15(d) of the  Securities  Exchange
     Act of 1934 for the fiscal year ended December 31, 1997

                                                        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: 0-6910

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


                               TEL OFFSHORE TRUST
             (Exact Name of Registrant as Specified in its Charter)

                      Texas                                    76-6004064
         (State or Other Jurisdiction of                    (I.R.S. Employer
         Incorporation or Organization)                    Identification No.)

    Chase Bank of Texas, National Association
                 712 Main Street
                 Houston, Texas                                   77002
    (Address of Principal Executive Offices)                   (Zip Code)

       Registrant's Telephone Number, Including Area Code: (713) 216-5712

     Securities registered pursuant to Section 12(g) of the Act:


                              Name of Each Exchange
    Title of Each Class                              On Which Registered
    -------------------                              -------------------
           None                                             None

     Securities registered pursuant to Section 12(b) of the Act:

                          Units of Beneficial Interest
                                (Title of Class)

     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 
                                              -----   -----.

     Indicate by check mark if disclosure of delinquent  filers pursuant to Item
405 of Regulation S-K is not contained herein, and will not be contained, to the
best of registrant's  knowledge,  in definitive proxy or information  statements
incorporated by reference in Part III of this Form 10-K or any amendment to this
Form 10-K. X

     The aggregate market value of the 4,751,510 Units of Beneficial Interest in
TEL Offshore Trust held by non-affiliates of the registrant at the closing sales
price on March 20, 1998, of $5.3125 was $25,242,396.88.

     Indicate  the  number of  shares  outstanding  of each of the  registrant's
classes of common stock, as of the latest practicable date.

     As of March  20,  1998,  4,751,510  Units  of  Beneficial  Interest  in TEL
Offshore Trust.

     Documents Incorporated by Reference:  None
================================================================================



<PAGE>



                                EXPLANATORY NOTE

         The following Amendment No. 2 is being filed to correct reserve data in
the  Letter  Report  from  DeGolyer  and  MacNaughton,   independent   petroleum
engineering consultants,  as of October 31, 1997. A copy of the corrected Letter
Report  included below hereby amends and restates the Letter Report  included in
the annual report on Form 10-K for Tel Offshore Trust (the "Trust") for the year
ended December 31, 1997.

         The corrected  reserve data in this Letter Report  includes  changes of
proved  developed  and  undeveloped  reserves as of October 31, 1997 for oil and
condensate  from  701,993  bbls to 716,389  bbls,  or a 2.1%  increase,  and for
natural  gas from  3,395,940  mcf to  3,623,357  mcf,  or a 6.7%  increase.  The
corrected data in the reserve report also includes  changes in proved  developed
reserves as of October  31, 1997 for oil and  condensate  from  695,022  bbls to
695,300  bbls,  or an  increase  of less than  0.1%,  and for  natural  gas from
3,169,790 mcf to 2,949,371 mcf, or a 7.0% decrease.

         The estimated future net revenue and present value in the Letter Report
is also corrected for the Texaco Properties and the Totals.  Future net revenues
for the Trust as corrected have been increased from approximately  $24.3 million
to $25.2 million, or 3.7%.

         References  under  "Termination of the Trust" under Item 1 to estimated
total future net revenues  attributeable  to the  Partnership's  interest in the
Royalty  are also  amended to reflect  the  change  from $24.3  million to $25.2
million.

         Item 9 of the Form 10-K is also  amended to reflect the changes to the
items in footnote 8 of the Financial Statements as set forth after the corrected
Letter Report.





                                        2

<PAGE>



                     Letter Report as Amended and Restated:

                            DEGOLYER AND MACNAUGHTON
                                ONE ENERGY SQUARE
                               DALLAS, TEXAS 75206


















                                  LETTER REPORT
                                      as of
                                OCTOBER 31, 1997
                                       on
                              RESERVES and REVENUE
                                       of
                               CERTAIN PROPERTIES
                                  owned by the
                         TEL OFFSHORE TRUST PARTNERSHIP

                                    SEC CASE




                                        3

<PAGE>



                            DEGOLYER AND MACNAUGHTON
                                ONE ENERGY SQUARE
                               DALLAS, TEXAS 75206


                                                 January 30, 1998





Chevron USA Inc.
Chevron Place
935 Gravier Street
New Orleans, Louisiana 70012

Gentlemen:

         Pursuant to your request, we have prepared estimates, as of October 31,
1997, of the extent and value of the proved crude oil,  condensate,  and natural
gas reserves of a net profits  interest owned by TEL Offshore Trust  Partnership
(the Trust  Partnership).  This net  profits  interest  (the  Trust  Partnership
Interest) is in certain offshore leases owned by Chevron USA Inc. (Chevron),  as
successor  in title to Tenneco Oil  Company  (Tenneco),  by  Pennzoil  Petroleum
Company (Pennzoil),  as successor in title to Chevron, and by Texaco Exploration
and Production,  Inc. (Texaco),  as successor in title to Chevron.  The interest
appraised  consists  of a  25-percent  net  profits  interest  in 17 leases (the
Subject  Properties),  which are  located  in the Gulf of Mexico  offshore  from
Louisiana.  Before  acquisition  by  Chevron,  the Subject  Properties  had been
transferred  to  Tenneco  upon  the  dissolution  of  Tenneco  Exploration  Ltd.
(Exploration I), a limited partnership formerly comprised of Tenneco and Tenneco
West  Inc.  Exploration  I  conveyed  the  net  profits  interest  to the  Trust
Partnership,  which  is  99.99-percent  owned  by  TEL  Offshore  Trust,  by the
Conveyance  of  Overriding  Royalty  Interests  effective  January 1, 1983.  The
Subject Properties were acquired by Chevron on November 18, 1988. Certain of the
Subject  Properties  were  subsequently  acquired by Pennzoil  effective July 1,
1992, and certain others were acquired by Texaco effective December 1, 1994. One
of  the  Pennzoil  Subject   Properties  was  subsequently   acquired  by  SONAT
Exploration  Company (SONAT) and certain other Pennzoil Subject  Properties were
acquired by Amoco Production Company (Amoco), both effective October 1, 1995.

         During this  investigation,  we consulted  freely with the officers and
employees of Chevron and were given access to such accounts, records, geological
and engineering reports, and other data as were desired for examination.  In the
preparation  of this report we have relied,  without  independent  verification,
upon information  furnished by Chevron with respect to property  interests owned
by the Trust  Partnership,  production  from such  properties,  current costs of
operation and development, current prices for production, agreements relating to
current  and  future  operations  and  sale of  production,  and  various  other
information  and data that were accepted as  represented.  It was not considered
necessary to make a field examination of the physical condition and operation of
the Subject Properties.

         Our  reserves  estimates  are based on a detailed  study of the Subject
Properties and were prepared by the use of standard  geological and  engineering
methods generally accepted by the petroleum industry.  The method or combination
of methods used in the  analysis of each  reservoir  was tempered by  experience
with  similar  reservoirs,  consideration  of the  stage of  development  of the
reservoir, and the quality and completeness of basic data.

         Reserves  estimated  herein are  expressed  as gross and net  reserves.
Gross reserves are defined as the total estimated  petroleum to be produced from
the Subject Properties after October 31, 1997. Combined net reserves are


                                        4

<PAGE>



defined  as those  reserves  remaining  after  deducting  royalties  from  gross
reserves.  Net reserves are defined as that portion of the combined net reserves
attributable  to the interests  owned by the Trust  Partnership  Interest  after
deducting  interests  owned by others.  Gas volumes are  expressed  as sales gas
reserves at a temperature of 60 degrees Fahrenheit and at a legal pressure bases
of 14.73 pounds per square inch absolute.  Sales gas is defined as the total gas
to be produced  from the  reservoirs,  measured at the point of delivery,  after
reduction for fuel usage,  flare, and shrinkage resulting from field separations
and processing. Condensate reserves estimated herein are those to be obtained by
normal separator recovery.

         Petroleum reserves included in this report are classified as proved and
are judged to be economically  producible in future years from known  reservoirs
under existing  economic and operating  conditions and assuming  continuation of
current  regulatory   practices  using   conventional   production  methods  and
equipment. In the analyses of production-decline curves, reserves were estimated
only to the limit of economic rates of production  under  existing  economic and
operating conditions using prices and costs as of the date the estimate is made,
including   consideration  of  changes  in  existing  prices  provided  only  by
contractual  arrangements  but  not  including  escalations  based  upon  future
conditions. The petroleum reserves are classified as follows:

         Proved - Reserves  that have been proved to a high degree of  certainty
         by  analysis  of  the  producing  history  of  a  reservoir  and/or  by
         volumetric  analysis  of  adequate  geological  and  engineering  data.
         Commercial  productivity  has been  established  by actual  production,
         successful  testing, or in certain cases by favorable core analyses and
         electrical-log interpretation when the producing characteristics of the
         formation are known from nearby fields. Volumetrically,  the structure,
         areal extent,  volume,  and  characteristics  of the reservoir are well
         defined by a  reasonable  interpretation  of adequate  subsurface  well
         control and by known continuity of hydrocarbon-saturated material above
         known  fluid  contacts,  if any, or above the lowest  known  structural
         occurrence of hydrocarbons.

                  Developed - Reserves that are recoverable  from existing wells
                  with current operating methods and expenses.

                  Developed  reserves  include both  producing and  nonproducing
                  reserves.  Estimates of producing  reserves assume recovery by
                  existing  wells  producing from present  completion  intervals
                  with  normal   operating   methods  and  expenses.   Developed
                  nonproducing  reserves are in reservoirs  behind the casing or
                  at minor depths below the  producing  zone and are  considered
                  proved  by  production  from  other  wells  in the  field,  by
                  successful  drill-stem  tests,  or by core  analyses  from the
                  particular zones.  Nonproducing reserves require only moderate
                  expense to be brought into production.

                  Undeveloped - Reserves that are  recoverable  from  additional
wells yet to be drilled.

                  Undeveloped   reserves   are  those   considered   proved  for
                  production by reasonable geological interpretation of adequate
                  subsurface  control in reservoirs that are producing or proved
                  by other wells but are not  recoverable  from existing  wells.
                  This   classification   of  reserves   requires   drilling  of
                  additional  wells,  major  deepening  of  existing  wells,  or
                  installation of enhanced recovery or other facilities.

         Reserves recoverable by enhanced recovery methods, such as injection of
external  fluids to  provide  energy  not  inherent  in the  reservoirs,  may be
classified as proved developed or proved undeveloped reserves depending upon the
extent to which such enhanced recovery methods are in operation.  These reserves
are  considered  to be proved only in cases where a  successful  fluid-injection
program is in operation,  a pilot program indicates  successful fluid injection,
or  information  is available  concerning  the  successful  application  of such
methods in the same reservoir and it is reasonably certain that the program will
be implemented.


                                           5

<PAGE>



         The properties  evaluated  consist of 17 leases  located  offshore from
Louisiana.  These 17 leases include 13 productive properties (including 2 leases
covering  separate  portions  of the south half of Ship  Shoal  Block 183) and 4
leases to which no reserves have been assigned. Pennzoil owns an interest in one
of the productive  properties and in one of the leases to which no reserves have
been assigned.  Texaco owns an interest in three of the  productive  properties.
SONAT  and  Amoco  own an  interest  in one  property  each,  but only the SONAT
property is productive.

         The  reserves  volumes  and  revenue  values  shown in this report were
estimated from projections of reserves and revenue  attributable to the combined
interests,  which  consist of the Trust  Partnership  Interest and the interests
retained in the Subject  Properties  by Chevron,  Pennzoil,  Texaco,  SONAT,  or
Amoco.  Net  reserves  attributable  to the  Trust  Partnership  Interests  were
estimated by  allocating  to the Trust  Partnership  a portion of the  estimated
combined net reserves of the Subject  Properties  based on future  revenue.  The
formula used to estimate the net reserves  attributable to the Trust Partnership
Interest is as follows:
<TABLE>
<S>                                        <C>                                 <C>     <C>    

                                            Trust Partnership Interest
Trust Partnership Interest net reserves =   future net revenue                  x       Combined net reserves
                                            ---------------------
                                            Combined future gross revenue
</TABLE>

This formula was applied  separately to the Pennzoil,  Texaco,  SONAT, and Amoco
groups of properties and then to the Chevron  (remaining  properties) group; the
results  were then added  together to obtain the total  reserves and revenue for
the Trust Partnership Interest. Because the net reserves volumes attributable to
the Trust  Partnership  Interest are  estimated  using an allocation of reserves
based on estimates of future revenue, a change in prices or costs will result in
changes in the  estimated net  reserves.  Therefore,  the estimated net reserves
attributable  to the Trust  Partnership  Interest will vary if different  future
price and cost assumptions are used. Trust Partnership  Interest net revenue and
net reserves estimates included in this report have been estimated from reserves
and  revenue  attributable  to  the  combined  interests  using  procedures  and
calculation  methods as specified by Chevron and represented by Chevron to be in
accordance with the Conveyance of Overriding Royalty Interests.

         Units have been formed for several common  reservoirs that underlie the
Subject  Properties and adjacent  leases.  In those cases,  the estimated  gross
reserves of the entire  reservoir  are shown and the  resulting  combined  Trust
Partnership  and Chevron,  Pennzoil,  Texaco,  SONAT,  or Amoco interests in the
reservoir unit are used to calculate combined interests net reserves.

         In the Eugene Island Block 339 field,  gas from certain  properties has
been  produced  and sold,  but one  owner  has not  taken its full  share of the
produced gas. In this case, there is in effect a gas-balancing agreement whereby
gas not taken is credited to the account of the owner not currently  selling its
share of the  produced  gas.  That gas is to be  recovered  by  increasing  this
party's share of the monthly gas production in the future.  The net reserves and
revenue  shown herein are the future  reserves and revenue  attributable  to the
Trust Partnership  Interest,  including  adjustments for the existing  balancing
agreement in the Eugene Island Block 339 field.

         Data available from wells drilled on the appraised  properties  through
October 1997 were used in estimating gross ultimate  recovery.  Gross production
estimated  through  October  31,  1997,  was  deducted  from the gross  ultimate
recovery to arrive at estimates of gross reserves. In most fields, this required
that the production  rates be estimated for 4 months,  since production data for
certain properties were available only through June 1997.



                                        6

<PAGE>



         Net proved reserves  attributable to the Trust Partnership Interest, as
of October 31, 1997, are estimated as follows:
<TABLE>
<CAPTION>


                                                         Oil and          Natural
                                                       Condensate           Gas
                                                          (bbl)             (Mcf)
                                                          -----             -----
<S>                                                    <C>                 <C> 

Proved Developed and Undeveloped Reserves
    Reserves as of October 31, 1996                      918,021           4,893,525
    Revisions of Previous Estimates                      146,517            (156,820)
    Improved Recovery                                          0                   0
    Purchases of Minerals in Place                             0                   0
    Extensions, Discoveries, and Other Additions          26,005             669,356
    Production                                          (374,154)         (1,782,704)
    Sales of Minerals in Place                                 0                   0
    Reserves as of October 31, 1997                      716,389           3,623,357

Proved Developed Reserves
    Reserves as of October 31, 1996                      917,883           4,885,185
    Reserves as of October 31, 1997                      695,300           2,949,371

</TABLE>

         Revenue  values in this  report  are  expressed  in terms of  estimated
combined  future net  revenue,  future  net  revenue  attributable  to the Trust
Partnership  Interest,  and present worth of these future net  revenues.  Future
gross revenue is that revenue which will accrue from the  production and sale of
the estimated  combined net reserves.  Combined  future net revenue  values were
calculated  by deducting  operating  expenses and capital  costs from the future
gross revenue of the combined  interest.  These monthly values for the aggregate
of the  combined  interest in the  Subject  Properties  were  reduced by a trust
overhead  charge  furnished  by  Chevron.  Capital  and  abandonment  costs  for
longer-life  properties  were  accrued  at the end of each  quarter  in  amounts
specified by Chevron  beginning in January  1998.  The future  accrual or escrow
amounts  for  each of the five  groups  of  properties  were  deducted  from the
combined future net revenue at the end of each quarter, as specified by Chevron.
Interest on the balance of the accrued capital and abandonment costs at the rate
of 4.75  percent  per year as  specified  by Chevron was  credited  monthly as a
reduction in operating costs.  The adjusted  revenue  resulting from subtracting
the overhead charge and accrued capital and abandonment  costs was multiplied by
a factor of 25 percent to arrive at the future net revenue  attributable  to the
Trust Partnership Interest. The above calculations were made monthly for each of
the five groups of the properties (Chevron, Pennzoil, Texaco, SONAT, and Amoco).
Interest  was charged  monthly on the net profits  deficit  balances  (costs not
recovered  currently)  at the  rate of 4.75  percent  per year as  specified  by
Chevron.  Present  worth is  defined  as  future  net  revenue  discounted  at a
specified arbitrary discount rate compounded monthly over the expected period of
realization;  in this report,  present  worth values using a discount rate of 10
percent are reported.  Future income tax expenses were not taken into account in
estimating  future net revenue and present worth. No deductions were made in the
foregoing reserves for any outstanding production payments.

         Revenue values in this report were  estimated  using the initial prices
and costs  provided by Chevron.  Future prices were estimated  using  guidelines
established by the Securities  and Exchange  Commission  (SEC) and the Financial
Accounting  Standards Board (FASB).  These guidelines  require the use of prices
for oil and  condensate  in effect on October 31,  1997.  The initial and future
prices and producing rates used in this report have been reviewed by Chevron and
it has represented  that the gas prices and rates used herein are those that the
Trust Partnership could

                                        7

<PAGE>



reasonably  expect to receive on October  31,  1997.  The  assumptions  used for
estimating future prices and costs are as follows:

         Oil and Condensate Prices

                  Oil and condensate prices applicable in October 1997 were used
                  as initial  prices with no increases  based on inflation.  The
                  initial oil and condensate prices were furnished by Chevron.

         Natural Gas Prices

                  Initial gas prices  furnished by Chevron were prices in effect
                  on October 31, 1997, and were  represented to be in accordance
                  with existing gas contracts.  Chevron further  represents that
                  these contracts  provide for periodic price  redeterminations,
                  but do not provide for any fixed or determinable  escalations.
                  Therefore, the initial prices were used for the remaining life
                  of the properties.

         Operating and Capital Costs

                  Current estimates of operating costs were used for the life of
                  the  properties  with no  increases  in the  future  based  on
                  inflation.  Future capital  expenditures  were estimated using
                  1997 values and were not adjusted for  inflation.  Abandonment
                  costs have been estimated as capital costs for all properties,
                  including the four leases which are considered depleted and to
                  which no reserves have been assigned.

         A summary of estimated  revenue and costs  attributable to the combined
interest in proved reserves of the Subject Properties and the future net revenue
and present worth attributable to the Trust Partnership  Interest, as of October
31, 1997, is as follows:
<TABLE>
<CAPTION>

                                           Chevron    Pennzoil     Texaco      SONAT       Amoco
                                         Properties  Properties  Properties Properties  Properties     Total
                                         ----------  ----------  ---------------------  ----------     -----
<S>                                      <C>          <C>        <C>         <C>                 <C>   

Combined Interest
     Future Gross Revenue ($)             82,417,001   1,830,766  24,551,227  1,569,530           0  110,368,524

     Operating Costs ($)                  (9,426,489)  (299,736)  (2,156,975) (299,212)           0  (12,182,412)
     Capital Costs ($)1                   (5,855,639)  (525,000)  (7,902,768) (278,410)           0  (14,561,817)

     Future Net Revenue ($)               67,134,873   1,006,030  14,491,484    991,908           0   83,624,295
     Cost Escrow as of 10-31-97 ($)       10,603,752     220,920   7,667,612    275,220       4,972   18,772,476
     Interest Credit on Accrued Balance ($)1,735,049     170,849     748,976     39,093         119    2,694,086
     Interest on Deficit ($)                    (73)     (1,429)           0          0           0      (1,502)
     Overhead ($)                         (2,982,830)   (84,639)  (1,060,677)  (65,541)           0  (4,193,687)

     Revenue Subject to Net Profits
       Interest ($)                       76,490,771   1,311,731  21,847,395  1,240,680       5,091  100,895,668

  Trust Partnership Interest
     Future Net Revenue ($)2              19,122,644     327,908   5,461,815    310,160       1,268   25,223,795
     Present Worth at 10 Percent ($)2     15,986,060     249,502   4,535,961    276,651       1,215   21,049,389

</TABLE>

1        Includes abandonment costs.
2        Future  income  tax  expenses  were  not  taken  into  account  in  the
         preparation of these estimates.


                                        8

<PAGE>



         In our opinion,  the information relating to estimated proved reserves,
estimated  future  net  revenue  from  proved  reserves,  and  present  worth of
estimated  future net revenue from proved reserves of oil,  condensate,  and gas
contained in this report has been prepared in accordance with Paragraphs  10-13,
15 and 30(a)-(b) of Statement of Financial Accounting Standards No. 69 (November
1982) of the FASB and Rules 4-10(a)  (1)-(13) of Regulation  S-X and Rule 302(b)
of Regulation S-K of the SEC; provided, however, future income tax expenses have
not been taken into  account in  estimating  the future net  revenue and present
worth values set forth herein.

         To the extent the above-enumerated rules,  regulations,  and statements
require  determinations  of an accounting or legal nature or information  beyond
the scope of this report, we are necessarily  unable to express an opinion as to
whether the above-described information is in accordance therewith or sufficient
therefor.

         In our opinion, we have made the investigations  necessary to enable us
to  estimate  the  petroleum   reserves  reported  herein.   Estimates  of  oil,
condensate,  and gas reserves and future net revenue  should be regarded only as
estimates  that  may  change  as  further   production  history  and  additional
information  become available.  Not only are such reserves and revenue estimates
based on that information which is currently  available,  but such estimates are
also subject to the  uncertainties  inherent in the  application  of  judgmental
factors in interpreting such information.

                                   Submitted,



                                                 /s/ DeGOLYER and MacNAUGHTON


                                                  DeGOLYER and MacNAUGHTON











(SEAL)                                            /s/ James W. Hail, Jr., P.E.
                                                  ------------------------------


                                                  James W. Hail, Jr., P.E.
                                                  Senior Vice President
                                                  DeGolyer and MacNaughton





                                        9

<PAGE>



         Footnote 9 of the Financial  Statements is amended and restated for the
following items:

<TABLE>
<CAPTION>


                                                                                           Partnership
                                                                                ----------------------------------
                                                                                 Crude Oil
                                                                                    and
                                                                                Condensate             Natural Gas
                                                                                  (bbls)                  (mcf)
                                                                                  ------                  -----
<S>                                                                      <C>                       <C>     
Proved Developed and Undeveloped Reserves:
      October 31, 1996                                                          918,021                 4,893,525
      Revisions of previous estimates                                           146,517                  (156,820)
      Extensions, discoveries and other additions                                26,005                   669,356
      Royalty production                                                       (374,154)               (1,782,704)
                                                                          --------------           ---------------
      October 31, 1997                                                          716,389                 3,623,357
      Additional disclosures:
           Reserves related to Pennzoil                                          (2,292)                 (94,891)
                                                                          --------------           --------------
           October 31, 1997, net of reserves related to Pennzoil                714,097                 3,528,466
                                                                          ==============           =============
Proved Developed Reserves:
      October 31, 1997                                                          695,300                 2,949,371
      Reserves related to Pennzoil                                               (2,292)                  (94,891)
                                                                          --------------           ---------------
      October 31, 1997, net of reserves related to Pennzoil                     693,008                 2,854,480
                                                                          ==============           ===============

Standardized Measure of Discounted Future Royalty Income
                                                                                   1997
                                                                          -----------------
                                                                                (thousands)
Future Royalty income                                                           $25,224
Discount at 10% per annum                                                        (4,175)
Standardized measure of discounted future Royalty income from proved oil and gas
      reserves, discounted at 10% per annum                                      21,049

                                                                                 
Additional disclosures:
      Amounts attributable to Pennzoil                                             (250)
                                                                          --------------
      Standardized measure of discounted future Royalty income
           from proved oil and gas reserves, discounted at 10%
           per annum, net of amounts attributable to Pennzoil
                                                                                $20,799
                                                                          ===============


Changes in Standardized Measure of Discounted Future Royalty
Income
                                                                                   1997
                                                                          ----------------
                                                                                (thousands)
Beginning balance                                                               $24,551
      Revisions of previous estimates                                              (263)
      Extensions, discoveries and other additions                                 2,087
      Royalty income                                                             (7,003)
      Accretion of discount                                                       2,455
      Other                                                                        (778)
                                                                          --------------
           Net changes in standardized measure                                   (3,502)
                                                                          --------------
Ending balance                                                                   21,049
Additional disclosures:
      Amounts attributable to Pennzoil                                             (250)
                                                                           --------------
      Ending balance, net of amounts attributable to Pennzoil                   $20,799
                                                                           ==============
</TABLE>

                                       10

<PAGE>


                                   SIGNATURES


         Pursuant to the  requirements  of Section 13 or 15(d) of the Securities
Exchange Act of 1934,  the  Registrant  has duly caused this  Amendment No. 2 to
this  report to be  signed on its  behalf  by the  undersigned,  thereunto  duly
authorized on this 16th day of September, 1998.





                               TEL OFFSHORE TRUST


                                         By:  Chase Bank of Texas, National
                                                Association,
                                              Corporate Trustee





                                              By:  /s/ Pete Foster
                                                  ---------------------------
                                                  Pete Foster
                                                  Senior Vice President and 
                                                    Trust Officer




         Pursuant to the  requirements  of the Securities  Exchange Act of 1934,
this  report has been  signed  below by the  following  persons on behalf of the
Registrant and in the capacities and on the dates indicated.








                     SIGNATURE                                     DATE




Chase Bank of Texas, National Association,                   September 16, 1998
  Corporate Trustee





By:    /s/ Pete Foster
   -------------------------------
       Pete Foster, Senior Vice
       President and Trust Officer



Individual Trustees



              /s/ George Allman, Jr.                         September 16, 1998
- ---------------------------------------------------
            George Allman, Jr., Trustee



                   /s/Gary Evans                             September 16, 1998
- ----------------------------------------------------
                Gary Evans, Trustee



               /s/ Richard L. Melton                         September 16, 1998
- ---------------------------------------------------
            Richard L. Melton, Trustee



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