SECURITIES AND EXCHANGE COMMISSION
                            WASHINGTON, D.C. 20549



                                  FORM 10-Q


               Quarterly Report Pursuant to Section 13 or 15(d)
                    of the Securities Exchange Act of 1934


For the quarter ended                     Commission File Number
   June 30, 1998                                 0-10478



                       DYCO OIL AND GAS PROGRAM 1981-2
                           (A LIMITED PARTNERSHIP)
            (Exact Name of Registrant as specified in its charter)



         Minnesota                           41-1411952
(State or other jurisdiction    (I.R.S. Employer Identification
   of incorporation or                         Number)
     organization)



Samson Plaza, Two West Second Street, Tulsa, Oklahoma  74103
------------------------------------------------------------
(Address of principal executive offices)              (Zip Code)



                              (918) 583-1791
       ----------------------------------------------------
        (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
                            ------                    ------




                                       1
<PAGE>




                        PART I. FINANCIAL INFORMATION


ITEM 1.  FINANCIAL STATEMENTS

             DYCO OIL AND GAS PROGRAM 1981-2 LIMITED PARTNERSHIP
                                BALANCE SHEETS
                                 (Unaudited)

                                    ASSETS

                                              June 30,         December 31,
                                                1998              1997
                                             -----------       ------------

CURRENT ASSETS:
   Cash and cash equivalents                    $ 67,520          $116,852
   Accrued oil and gas sales                      43,023            71,787
                                                --------          --------
      Total current assets                      $110,543          $188,639

NET OIL AND GAS PROPERTIES, utilizing
   the full cost method                           96,699           135,634

DEFERRED CHARGE                                   39,180            39,180
                                                --------          --------
                                                $246,422          $363,453
                                                ========          ========

                      LIABILITIES AND PARTNERS' CAPITAL

CURRENT LIABILITIES:
   Accounts payable                             $  7,021          $ 40,290
   Gas imbalance payable                          20,591            20,591
                                                --------          --------
      Total current liabilities                 $ 27,612          $ 60,881

ACCRUED LIABILITY                               $122,380          $126,219

PARTNERS' CAPITAL:
   General Partner, issued and
      outstanding, 74 units                     $    965          $  1,764
   Limited Partners, issued and
      outstanding, 6,000 units                    95,465           174,589
                                                --------          --------
      Total Partners' capital                   $ 96,430          $176,353
                                                --------          --------
                                                $246,422          $363,453
                                                ========          ========





            The accompanying condensed notes are an integral part of
                           these financial statements.



                                       2
<PAGE>



             DYCO OIL AND GAS PROGRAM 1981-2 LIMITED PARTNERSHIP
                           STATEMENTS OF OPERATIONS
              FOR THE THREE MONTHS ENDED JUNE 30, 1998 AND 1997
                                 (Unaudited)

                                                  1998              1997
                                                --------          --------

REVENUES:
   Oil and gas sales                             $67,257          $100,315
   Interest                                        1,927             1,369
                                                 -------          --------
                                                 $69,184          $101,684

COST AND EXPENSES:
   Oil and gas production                        $21,207          $ 31,456
   Depreciation, depletion, and
      amortization of oil and gas
      properties                                   8,502             5,721
   General and administrative
      (Note 2)                                    13,157            15,198
                                                 -------          --------
                                                 $42,866          $ 52,375
                                                 -------          --------

NET INCOME                                       $26,318          $ 49,309
                                                 =======          ========
GENERAL PARTNER (1%) - net income                $   264          $    493
                                                 =======          ========
LIMITED PARTNERS (99%) - net income              $26,054          $ 48,816
                                                 =======          ========
NET INCOME PER UNIT                              $  4.33          $   8.12
                                                 =======          ========
UNITS OUTSTANDING                                  6,074             6,074
                                                 =======          ========






            The accompanying condensed notes are an integral part of
                           these financial statements.



                                       3
<PAGE>



             DYCO OIL AND GAS PROGRAM 1981-2 LIMITED PARTNERSHIP
                           STATEMENTS OF OPERATIONS
               FOR THE SIX MONTHS ENDED JUNE 30, 1998 AND 1997
                                 (Unaudited)

                                                  1998              1997
                                                --------          --------

REVENUES:
   Oil and gas sales                            $142,969          $273,009
   Interest                                        3,365             4,193
                                                --------          --------
                                                $146,334          $277,202

COST AND EXPENSES:
   Oil and gas production                       $ 51,790          $ 70,293
   Depreciation, depletion, and
      amortization of oil and gas
      properties                                  16,387            28,549
   General and administrative
      (Note 2)                                    36,600            40,477
                                                --------          --------
                                                $104,777          $139,319
                                                --------          --------

NET INCOME                                      $ 41,557          $137,883
                                                ========          ========
GENERAL PARTNER (1%) - net income               $    416          $  1,379
                                                ========          ========
LIMITED PARTNERS (99%) - net income             $ 41,141          $136,504
                                                ========          ========
NET INCOME PER UNIT                             $   6.84          $  22.70
                                                ========          ========
UNITS OUTSTANDING                                  6,074             6,074
                                                ========          ========




            The accompanying condensed notes are an integral part of
                           these financial statements.



                                       4
<PAGE>



             DYCO OIL AND GAS PROGRAM 1981-2 LIMITED PARTNERSHIP
                           STATEMENTS OF CASH FLOWS
               FOR THE SIX MONTHS ENDED JUNE 30, 1998 AND 1997
                                 (Unaudited)


                                                  1998             1997
                                                ---------       ----------

CASH FLOWS FROM OPERATING ACTIVITIES:
   Net income                                   $ 41,557          $137,883
   Adjustments to reconcile net
      income to net cash provided
      by operating activities:
      Depreciation, depletion, and
        amortization of oil and gas
        properties                                16,387            28,549
      Decrease in accrued oil and
        gas sales                                 28,764            43,588
      Decrease in accounts payable             (  33,269)        (     929)
      Decrease in accrued liability            (   3,839)                -
                                                --------          --------
      Net cash provided by operating
        activities                              $ 49,600          $209,091
                                                --------          --------

CASH FLOWS FROM INVESTING ACTIVITIES:
   Proceeds from sale of oil and gas
      properties                                $ 22,548          $      -
   Additions to oil and gas
      properties                                       -         (   1,085)
                                                --------          --------
   Net cash provided (used) by
      investing activities                      $ 22,548         ($  1,085)
                                                --------          --------

CASH FLOWS FROM FINANCING ACTIVITIES:
   Cash distributions                          ($121,480)        ($303,700)
                                                --------          --------
   Net cash used by financing
      activities                               ($121,480)        ($303,700)
                                                --------          --------

NET DECREASE IN CASH AND CASH
   EQUIVALENTS                                 ($ 49,332)        ($ 95,694)

CASH AND CASH EQUIVALENTS AT
   BEGINNING OF PERIOD                           116,852           272,066
                                                --------          --------
CASH AND CASH EQUIVALENTS AT
   END OF PERIOD                                $ 67,520          $176,372
                                                ========          ========


            The accompanying condensed notes are an integral part of
                           these financial statements.


                                       5
<PAGE>



             DYCO OIL AND GAS PROGRAM 1981-2 LIMITED PARTNERSHIP
                   CONDENSED NOTES TO FINANCIAL STATEMENTS
                                JUNE 30, 1998
                                  (Unaudited)


1.     ACCOUNTING POLICIES
      -------------------

      The balance sheet as of June 30, 1998,  statements  of operations  for the
      three and six months ended June 30, 1998 and 1997,  and statements of cash
      flows for the six months  ended June 30, 1998 and 1997 have been  prepared
      by Dyco Petroleum  Corporation  ("Dyco"),  the General Partner of the Dyco
      Oil and Gas Program 1981-2 Limited  Partnership (the  "Program"),  without
      audit.  In the opinion of management all  adjustments  (which include only
      normal  recurring  adjustments)  necessary to present fairly the financial
      position at June 30,  1998,  results of  operations  for the three and six
      months ended June 30, 1998 and 1997, and changes in cash flows for the six
      months ended June 30, 1998 and 1997 have been made.

      Information  and  footnote  disclosures  normally  included  in  financial
      statements  prepared in  accordance  with  generally  accepted  accounting
      principles  have been  condensed or omitted.  It is  suggested  that these
      financial  statements be read in conjunction with the financial statements
      and notes thereto included in the Program's Annual Report on Form 10-K for
      the year ended December 31, 1997. The results of operations for the period
      ended June 30, 1998 are not  necessarily  indicative  of the results to be
      expected for the full year.


      OIL AND GAS PROPERTIES
      ----------------------

      Oil and gas  operations  are  accounted  for using the full cost method of
      accounting.  All productive and  non-productive  costs associated with the
      acquisition,  exploration  and  development  of oil and gas  reserves  are
      capitalized.  The Program's  calculation of depreciation,  depletion,  and
      amortization  includes  estimated  future  expenditures  to be incurred in
      developing  proved  reserves and estimated  dismantlement  and abandonment
      costs, net of estimated  salvage values. In the event the unamortized cost
      of oil and gas properties  being  amortized  exceeds the full cost ceiling
      (as defined by the  Securities  and  Exchange  Commission),  the excess is
      charged to expense in the period  during which such excess  occurs.  Sales
      and abandonments of




                                       6
<PAGE>




      properties are accounted for as  adjustments of capitalized  costs with no
      gain or loss recognized, unless such adjustments would significantly alter
      the  relationship  between  capitalized  costs  and  proved  oil  and  gas
      reserves.

      The provision for depreciation, depletion, and amortization of oil and gas
      properties is calculated by dividing the oil and gas sales dollars  during
      the  period by the  estimated  future  gross  income  from the oil and gas
      properties and applying the resulting  rate to the net remaining  costs of
      oil and gas properties that have been  capitalized,  plus estimated future
      development costs.


2.     TRANSACTIONS WITH RELATED PARTIES
      ---------------------------------

      Under the terms of the Program's partnership  agreement,  Dyco is entitled
      to  receive a  reimbursement  for all  direct  expenses  and  general  and
      administrative, geological and engineering expenses it incurs on behalf of
      the  Program.  During the three  months  ended June 30,  1998 and 1997 the
      Program incurred such expenses totaling $13,157 and $15,198, respectively,
      of which $11,988 was paid each period to Dyco and its  affiliates.  During
      the six months  ended June 30,  1998 and 1997 the  Program  incurred  such
      expenses totaling $36,600 and $40,477,  respectively, of which $23,976 was
      paid each period to Dyco and its affiliates.

      Affiliates of the Program  operate  certain of the  Program's  properties.
      Their  policy is to bill the  Program for all  customary  charges and cost
      reimbursements associated with these activities.





                                       7
<PAGE>



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

USE OF FORWARD-LOOKING STATEMENTS AND ESTIMATES
-----------------------------------------------

      This Quarterly Report contains  certain  forward-looking  statements.  The
      words "anticipate",  "believe",  "expect",  "plan", "intend",  "estimate",
      "project", "could", "may" and similar expressions are intended to identify
      forward-looking  statements.  Such statements reflect management's current
      views  with  respect  to future  events and  financial  performance.  This
      Quarterly Report also includes certain information,  which is, or is based
      upon,  estimates  and  assumptions.  Such  estimates and  assumptions  are
      management's  efforts to accurately reflect the condition and operation of
      the Program.

      Use of  forward-looking  statements and estimates and assumptions  involve
      risks  and  uncertainties  which  include,  but are not  limited  to,  the
      volatility of oil and gas prices, the uncertainty of reserve  information,
      the operating risk associated  with oil and gas properties  (including the
      risk of personal injury,  death,  property  damage,  damage to the well or
      producing  reservoir,  environmental  contamination,  and other  operating
      risks), the prospect of changing tax and regulatory laws, the availability
      and capacity of  processing  and  transportation  facilities,  the general
      economic climate,  the supply and price of foreign imports of oil and gas,
      the level of consumer  product demand,  and the price and  availability of
      alternative  fuels.  Should  one or more of these  risks or  uncertainties
      occur or should  estimates  or  underlying  assumptions  prove  incorrect,
      actual  conditions or results may vary materially and adversely from those
      stated, anticipated, believed, estimated, and otherwise indicated.

LIQUIDITY AND CAPITAL RESOURCES
-------------------------------

      Net  proceeds  from the  Program's  operations  less  necessary  operating
      capital  are  distributed  to  investors  on a  quarterly  basis.  The net
      proceeds from production are not reinvested in productive  assets,  except
      to the extent  that  producing  wells are  improved  or where  methods are
      employed to permit more efficient recovery of the Program's reserves which
      would result in a positive economic impact.

      The Program's  available capital from  subscriptions has been spent on oil
      and gas  drilling  activities.  There  should not be any further  material
      capital  resource  commitments  in the  future.  The  Program  has no debt
      commitments. Cash for operational purposes will be provided by current oil
      and gas production.



                                       8
<PAGE>




      The  Program's  Statement  of Cash Flows for the six months ended June 30,
      1998 includes  proceeds from the sale of oil and gas properties during the
      first quarter of 1998.  These proceeds were included in the Program's cash
      distribution  paid  in  June  1998.  It is  possible  that  the  Program's
      repurchase values and future cash distributions  could decline as a result
      of the  disposition  of these  properties.  On the other hand, the General
      Partner believes there will be beneficial  operating  efficiencies related
      to the Program's remaining  properties.  This is primarily due to the fact
      that  the  properties  sold  generally  bore a higher  ratio of  operating
      expenses as compared to reserves than the Program's remaining properties.

RESULTS OF OPERATIONS
---------------------

      GENERAL DISCUSSION

      The following  general  discussion  should be read in conjunction with the
      analysis  of results of  operations  provided  below.  The most  important
      variable  affecting the Program's  revenues is the prices received for the
      sale  of  oil  and  gas.  Predicting  future  prices  is  very  difficult.
      Substantially  all of the  Program's  gas  reserves  are being sold on the
      "spot market".  Prices on the spot market are subject to wide seasonal and
      regional pricing  fluctuations due to the highly competitive nature of the
      spot market. Such spot market sales are generally short-term in nature and
      are dependent upon the obtaining of  transportation  services  provided by
      pipelines. In addition, crude oil prices are at or near their lowest level
      in the past  decade  due  primarily  to the  global  surplus of crude oil.
      Management is unable to predict whether future oil and gas prices will (i)
      stabilize, (ii) increase, or (iii) decrease.

      THREE  MONTHS  ENDED JUNE 30, 1998 AS COMPARED TO THE THREE  MONTHS  ENDED
      JUNE 30, 1997.

                                                 Three Months Ended June 30,
                                                 ---------------------------
                                                    1998             1997
                                                  -------          --------
      Oil and gas sales                           $67,257          $100,315
      Oil and gas production expenses             $21,207          $ 31,456
      Barrels produced                                184               302
      Mcf produced                                 31,421            53,513
      Average price/Bbl                           $ 12.14          $  17.86
      Average price/Mcf                           $  2.07          $   1.77

      As shown in the table above,  total oil and gas sales decreased  $33,058
      (33.0%)  for the three  months  ended June 30,  1998 as  compared to the
      three months ended June 30, 1997.  Of



                                       9
<PAGE>



      this decrease,  approximately $39,000 was related to a decrease in volumes
      of  gas  sold,  which  amount  was  partially  offset  by an  increase  of
      approximately  $9,000  related to an increase in the average  price of gas
      sold.  Volumes of oil and gas sold  decreased  118 barrels and 22,092 Mcf,
      respectively,  for the three months ended June 30, 1998 as compared to the
      three months ended June 30, 1997.  The decrease in volumes of oil sold was
      primarily due to the  shutting-in of one  significant  well for subsurface
      repairs  during the three  months  ended June 30,  1998.  The  decrease in
      volumes  of gas sold  resulted  primarily  from the  Program  receiving  a
      reduced percentage of sales due to the Program's  overproduced position on
      one significant  well.  Average oil prices  decreased to $12.14 per barrel
      for the three  months  ended June 30,  1998 from $17.86 per barrel for the
      three months ended June 30,  1997.  Average gas prices  increased to $2.07
      per Mcf during the three months ended June 30, 1998 from $1.77 per Mcf for
      the three months ended June 30, 1997.

      Oil and gas production  expenses  (including lease operating  expenses and
      production  taxes)  decreased  $10,249  (32.6%) for the three months ended
      June 30, 1998 as compared to the three months  ended June 30,  1997.  This
      decrease resulted primarily from a decrease in production taxes associated
      with the  decrease in oil and gas sales and a decrease in lease  operating
      expenses  associated  with the  decrease  in  volumes  of oil and gas sold
      during the three months ended June 30,  1998.  As a percentage  of oil and
      gas sales,  these expenses remained  relatively  constant at 31.5% for the
      three months ended June 30, 1998 and 31.4% for the three months ended June
      30, 1997.

      Depreciation,  depletion,  and  amortization  of oil  and  gas  properties
      increased  $2,781  (48.6%)  for the three  months  ended June 30,  1998 as
      compared to the three months ended June 30, 1997.  This increase  resulted
      primarily  from a decrease in the oil gas prices used in the  valuation of
      reserves at June 30, 1998 as compared to March 31, 1998 and an increase in
      the gas prices  used in the  valuation  of  reserves  at June 30,  1997 as
      compared to March 31,  1997.  As a percentage  of oil and gas sales,  this
      expense  increased  to 12.6% for the three months ended June 30, 1998 from
      5.7% for the three months ended June 30, 1997.  This  percentage  increase
      was primarily due to the dollar increase in depreciation,  depletion,  and
      amortization discussed above.

      General and administrative expenses decreased $2,041 (13.4%) for the three
      months  ended June 30, 1998 as compared to the three months ended June 30,
      1997.  This decrease  resulted  primarily from a decrease in  professional
      fees during the three  months ended June 30, 1998 as compared to the three
      months ended June 30, 1997.  As a percentage  of oil and gas sales,  these
      expenses  increased to 19.6% for the three months ended June 30, 1998 from
      15.2% for the three months ended



                                       10
<PAGE>



      June 30, 1997. This percentage  increase was primarily due to the decrease
      in oil and gas sales discussed above.

      SIX MONTHS  ENDED JUNE 30, 1998 AS  COMPARED TO THE SIX MONTHS  ENDED JUNE
      30, 1997.

                                                 Six Months Ended June 30,
                                                 --------------------------
                                                   1998              1997
                                                 --------          --------
      Oil and gas sales                          $142,969          $273,009
      Oil and gas production expenses            $ 51,790          $ 70,293
      Barrels produced                                441               656
      Mcf produced                                 68,752           117,569
      Average price/Bbl                          $  12.39          $  18.90
      Average price/Mcf                          $   2.00          $   2.22

      As shown in the table above,  total oil and gas sales  decreased  $130,040
      (47.6%)  for the six months  ended June 30,  1998 as  compared  to the six
      months ended June 30, 1997. Of this decrease,  approximately  $108,000 was
      related to a decrease in volumes of gas sold and approximately $15,000 was
      related to a decrease in the average price of gas sold. Volumes of oil and
      gas sold decreased 215 barrels and 48,817 Mcf,  respectively,  for the six
      months  ended June 30, 1998 as  compared to the six months  ended June 30,
      1997.  The  decrease  in  volumes  of oil  sold was  primarily  due to the
      shutting-in of one significant well for subsurface  repairs during the six
      months  ended  June 30,  1998 and normal  declines  in  production  on two
      significant wells due to diminished oil reserves.  The decrease in volumes
      of gas sold  resulted  primarily  from the  Program  receiving  a  reduced
      percentage  of sales due to the  Program's  overproduced  position  on one
      significant  well.  Average  oil and gas  prices  decreased  to $12.39 per
      barrel and $2.00 per Mcf, respectively,  for the six months ended June 30,
      1998 from $18.90 per barrel and $2.22 per Mcf,  respectively,  for the six
      months ended June 30, 1997.

      Oil and gas production  expenses  (including lease operating  expenses and
      production  taxes) decreased $18,503 (26.3%) for the six months ended June
      30, 1998 as compared to the six months ended June 30, 1997.  This decrease
      resulted primarily from a decrease in production taxes associated with the
      decrease in oil and gas sales and a decrease in lease  operating  expenses
      associated with the decrease in volumes of oil and gas sold during the six
      months ended June 30,  1998,  which  decreases  were  partially  offset by
      expenses  relating  to the  subsurface  repairs on one well during the six
      months ended June 30, 1998.  As a percentage  of oil and gas sales,  these
      expenses  increased  to 36.2% for the six months  ended June 30, 1998 from
      25.7% for the six months ended June 30, 1997. This percentage increase was
      primarily  due to the increase in  subsurface  repair  expenses  discussed
      above and the decreases in the average prices of oil and gas sold



                                       11
<PAGE>



      during the six months  ended June 30,  1998 as  compared to the six months
      ended June 30, 1997.

      Depreciation,  depletion,  and  amortization  of oil  and  gas  properties
      decreased  $12,162  (42.6%)  for the six  months  ended  June 30,  1998 as
      compared to the six months ended June 30,  1997.  This  decrease  resulted
      primarily  from the decrease in volumes of oil and gas sold during the six
      months  ended June 30, 1998 as  compared to the six months  ended June 30,
      1997.  As a percentage  of oil and gas sales,  this  expense  increased to
      11.5% for the six months ended June 30, 1998 from 10.5% for the six months
      ended June 30, 1997.

      General and  administrative  expenses  decreased $3,877 (9.6%) for the six
      months  ended June 30, 1998 as  compared to the six months  ended June 30,
      1997. As a percentage of oil and gas sales,  these  expenses  increased to
      25.6% for the six months ended June 30, 1998 from 14.8% for the six months
      ended June 30, 1997.  This  percentage  increase was  primarily due to the
      decrease in oil and gas sales discussed above.



                                       12
<PAGE>



                          PART II. OTHER INFORMATION

ITEM 6.  EXHIBITS AND REPORTS ON FORM 8-K

      (a)    Exhibits

             27.1       Financial  Data Schedule  containing  summary  financial
                        information  extracted from the Dyco Oil and Gas Program
                        1981-2 Limited Partnership's  financial statements as of
                        June 30,  1998  and for the six  months  ended  June 30,
                        1998, filed herewith.

                        All other exhibits are omitted as inapplicable.

      (b) Reports on Form 8-K.

            None.





                                       13
<PAGE>



                                  SIGNATURES

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.


                              DYCO OIL AND GAS PROGRAM 1981-2 LIMITED
                              PARTNERSHIP

                                    (Registrant)

                                    BY:   DYCO PETROLEUM CORPORATION

                                          General Partner


Date:  August 4, 1998        By:         /s/Dennis R. Neill
                                       -------------------------------
                                              (Signature)
                                              Dennis R. Neill
                                              President


Date:  August 4, 1998        By:         /s/Patrick M. Hall
                                       -------------------------------
                                              (Signature)
                                              Patrick M. Hall
                                              Chief Financial Officer





                                       14
<PAGE>



INDEX TO EXHIBITS


NUMBER      DESCRIPTION
------      -----------

27.1        Financial Data Schedule  containing  summary  financial  information
            extracted   from  the  Dyco  Oil  and  Gas  Program  1981-2  Limited
            Partnership's  financial  statements as of June 30, 1998 and for the
            six months ended June 30, 1998, filed herewith.

            All other exhibits are omitted as inapplicable.

                                       15