ОПРЕДЕЛЕНИЕ ПОРИСТОСТИ, ПРОНИЦАЕМОСТИ И НАЧАЛЬНОЙ КРИТИЧЕСКОЙ ВОДОНАСЫЩЕННОСТИ ГЛУБОКОЗАЛЕГАЮЩЕГО ПОЛЗУЧЕ-ДЕФОРМИРУЕМОГО ГАЗОВОГО МЕСТОРОЖДЕНИЯ
Ключевые слова:
газовое месторождение, деформация, горная порода, ползучесть, идентификация
Аннотация
При разработке нефтяных и газовых месторождений составляющие их породы подвергаются сложным деформациям, что, в свою очередь, приводит к изменению пористости и проницаемости пластов по закономерностям, отклоняющимся от линейно-упругих моделей. Поскольку эффективная разработка глубокозалегающего газового месторождения в значительной степени зависит от петрофизических свойств вмещающих пород, для грамотного проектирования разработки необходимо всесторонне учитывать эти свойства. Однако чрезвычайная сложность пластовой системы и происходящих в ней процессов затрудняет формулировку и изучение таких вопросов с точки зрения получения положительных практических результатов. Выявить эти свойства в соответствии с пластовыми условиями можно прежде всего путем решения соответствующих обратных задач подземной гидрогазодинамики. В связи с этим в настоящей статье предлагается вычислительный метод определения пористости, проницаемости и начальной критической водонасыщенности глубокозалегающих газовых месторождений, породы которых подвергаются ползучим деформациям. Метод основан на сопоставлении данных об истории разработки месторождения, полученных в ходе полевых наблюдений, с результатами решения соответствующей прямой задачи по определению зависящего от времени изменения пластового давления, в том числе забойного. Предлагаемый подход позволяет оценить коэффициенты проницаемости, пористости и остаточной водонасыщенности глубинного газового месторождения, разрабатываемого в режиме истощения, что крайне важно для оптимизации стратегии разработки и прогнозирования конечного коэффициента извлечения газа.
Литература
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3. Kuliev A.M., Kazymov B.Z. Deformation of Rocks and its Influence on their Filtration-capacity Properties and on the Processes of Filtration and Development of Oil and Gas Deposits [Deformatsiya gornykh porod i ee vliyanie na ikh filtratsionno-emkostnye svoystva i na protsessy filtratsii i razrabotki mestorozhdeniy nefti i gaza]. Baku. Elm Publ. 2009. 88 p. (In Russian).
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6. Abasov M.T., Dzhalalov G.I., Ibragimov T.M., Mamedov A.M. Hydrogasdynamics of Deep-Lying Deformable Reservoirs of Oil and Gas Fields [Gidrogazodinamika glubokozalegayushchikh deformiruemykh kollektorov neftegazovykh mestorozhdeniy]. Baku. Nafta-Press. 2012. 530 p. (In Russian).
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10. Kazymov B.Z. Variation in oil recovery during oil filtration in reservoirs with relaxation-deformable porous media. J. Eng. Phys. Thermophys. 2026. Vol. 99. Iss. 2. P. 446–449.
11. Feyzullayev Kh.A., Khalilov M.S., Kazymov B.Z. Identification of collector properties of relaxational-deformable gas stratum based on the development history data [Identifikatsiya kollektorskikh svoystv relaksatsionno-deformiruemogo gazovogo plasta na osnove dannykh istorii razrabotki]. Differencialnie Uravnenia i protsessy upravlenia. 2023. Iss. 1. P. 1–11. https://doi.org/10.21638/11701/spbu35.2023.101 (In Russian).
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13. Stefanov Yu.P. Some nonlinear rock behavior effects [Nekotorye nelineynye effekty povedeniya gornykh porod]. Phys Mesom [Fizicheskaya mezomekhanika]. 2016. Vol. 19. Iss. 6. P. 54–61 (In Russian).
14. Kazymov B.Z. Procedure for determining the dynamic characteristics of a gas reservoir with a creeping porous medium. Fluid Dynamics. 2018. Vol. 53. Iss. 2. P. 34–37. https://doi.org/10.1134/S0015462818060058.
15. Kazymov B.Z. Numerical modelling of development of the gas deposit by system of arbitrarily located well taking into account creeping deformation of rocks. SOCAR Proceedings. 2012. No 3. P. 42–46. https://doi.org/10.5510/OGP20120300122.
16. Kazymov B., Mammadov A. Determination of the developing indicators of gas layers whose rocks are creeping deformation during operation by inclined wells. 5th International Conference on Problems of Cybernetics and Informatics (PCI). Baku. Azerbaijan. 20–30 Aug. 2023. P. 1–3. https://doi.org/10.1109/PCI60110.2023.10326010.
17. Guliyev A.M., Efendiyev R.M., Kazimov B.Z. The influence of rock creep on oil recovery of deposits developed in the natural mode [Vliyanie polzuchesti gornykh porod na nefteotdachu zalezhey, razrabatyvaemykh v estestvennom rezhime]. SOCAR Proceedings. 2012. Iss. 3. P. 32–37. https://doi.org/10.5510/OGP20120300120 (In Russian).
18. Yang W., Gamage R.P., Huang C., Luo G., Guo J., Wang Sh. Loading history effect on creep deformation of rock. Energies. 2018. Vol. 11. Iss. 6. P. 1462-1 – 1462-20. https://doi.org/10. 3390/ en11061462.
19. Yang L., Zhaojie X., Zhe C., Haijun J. Progress and development directions of deep oil and gas exploration and development in China. China Petroleum Exploration. 2020. Vol. 25. No 1. P. 45–57. https://doi.org/10.3969/j.issn.1672-7703.2020.01.005 (In Chinese).
20. Wang H., Ji B., Lv C., Zhang L. The stress sensitivity of permeability in tight oil reservoirs. Energy Explor. Exploit. 2019. Vol. 37. No 4. P. 1364–1376. https://doi.org/10.1177/0144598719855819.
21. Malinin N.N. Applied Theory of Plasticity and Creep: Textbook for Universities [Prikladnaya teoriya plastichnosti i polzuchesti. Uchebnoe posobie dlya universitetov]. Moscow. Yurayt Publ. 1975. 400 p. (In Russian).
22. Abasov M.T., Jalalov G.I., Feyzullayev Kh.A. Identification of parameters of the hydrodynamic model of a gas condensate reservoir. News of the Azerbaijan National Academy of Sciences (ANAS): Earth Sciences Series. 2008. Vol. 2. P. 78–90.
23. Zhukov V.S., Pleshkov I.V. The influence of water saturation on changes in the physical properties of a reservoir [Vliyanie vodonasyshchennosti na izmenenie fizicheskikh svoystv porod-kollektorov]. Gas Science Bulletin. [Vesti gazovoy nauki]. 2018. Vol. 37. Iss. 5. P. 121–128 (In Russian).
24. Cheremisin N.A., Tolstolytkin D.V., Rzaev I.A. Direct method for calculating critical water saturation using results of capillary surveys [Pryamoy metod rascheta kriticheskoy vodonasyshchennosti po rezultatam kapillyarnykh issledovaniy]. Neftegaz Territoriya [Territoriya neftegaz]. 2021. No 11-12. P. 46–52 (In Russian).
25. Zakirov S.N. Theory and Design of Development of Gas and Gas Condensate Fields [Teoriya i proektirovanie razrabotki gazovykh i gazokodensatnykh mestorozhdeniy]. Moscow. Nauka Publ. 1989. 333 p. (In Russian).
26. Tikhonov A.N., Goncharsky A.V., Stepanov V.V., Yagola A.Q. Numerical Methods for Solving Ill-Posted Problems [Chislennye metody nekorrektnykh zadach]. Moscow. Nauka Publ. 1990. 229 p. (In Russian).
27. Vasiliev F.P. Methods for Solving Extremal Problems. Minimization in Function Spaces: Regularization and Approximation Techniques [Metody resheniya ekstremalnykh zadach: Zadachi minimizatsii v funktsionalnykh prostranstvakh, regulyarizatsiya, approksimatsiya]. Moscow. Nauka Publ. 1980. 400 p. (In Russian).
2. Mirzadzhanzade A.H., Kuznecov O.L., Basniev K.S., Aliev Z.S. Fundamentals of Gas Production Technology [Osnovy tekhnologii dobychi gaza]. Moscow. Nedra Publ. 2003. 879 p. (In Russian).
3. Kuliev A.M., Kazymov B.Z. Deformation of Rocks and its Influence on their Filtration-capacity Properties and on the Processes of Filtration and Development of Oil and Gas Deposits [Deformatsiya gornykh porod i ee vliyanie na ikh filtratsionno-emkostnye svoystva i na protsessy filtratsii i razrabotki mestorozhdeniy nefti i gaza]. Baku. Elm Publ. 2009. 88 p. (In Russian).
4. Dzhalalov G.I., Ibragimov T.M., Aliyev A.A., Gorshkova E.V. Modeling and Research of Filtration Processes in Deep-Lying Oil and Gas Fields [Modelirovanie i issledovanie filtratsionnykh protsessov v glubokozalegayushchikh neftegazovykh mestorozhdeniyakh nefti i gaza]. Baku. Elm Publ. 2018. 382 p. (In Russian).
5. Molokovich Yu.M. Non-Equilibrium Filtration and its Application in Oilfield Practice [Neravnovesnaya filtratsiya i ee primenenie v neftepromyslovoy praktike]. Moscow. CentrLitNefteGaz Publ. 2006. 214 p. (In Russian).
6. Abasov M.T., Dzhalalov G.I., Ibragimov T.M., Mamedov A.M. Hydrogasdynamics of Deep-Lying Deformable Reservoirs of Oil and Gas Fields [Gidrogazodinamika glubokozalegayushchikh deformiruemykh kollektorov neftegazovykh mestorozhdeniy]. Baku. Nafta-Press. 2012. 530 p. (In Russian).
7. Guliyev A., Kazimov B. Numerical modeling of development of oil deposit with system of wells taking into account the relaxation of deformation of rocks. Problems of Cybernetics and Informatics (PCI): IV International Conference. Baku. 12–14 Sept. 2012. P. 135–138. https://doi.org/10.1109/ICPCI.2012.6486399.
8. Kazymov B.Z. Influence of the relaxation deformation of rocks on the characteristics of nonisothermal filtration of live crude in the stratum. J. Eng. Phys. Thermophys. 2018. Vol. 91. No 6. P. 1539–1542. https://doi.org/10.1007/s10891-018-1890-0.
9. Kazymov B.Z. Numerical schemes for solving the problem of gas inflow to a well system in a relaxation-deformable gas reservoir. Computational Mathematics and Mathematical Physics. 2026. Vol. 66. No 4. P. 758–764.
10. Kazymov B.Z. Variation in oil recovery during oil filtration in reservoirs with relaxation-deformable porous media. J. Eng. Phys. Thermophys. 2026. Vol. 99. Iss. 2. P. 446–449.
11. Feyzullayev Kh.A., Khalilov M.S., Kazymov B.Z. Identification of collector properties of relaxational-deformable gas stratum based on the development history data [Identifikatsiya kollektorskikh svoystv relaksatsionno-deformiruemogo gazovogo plasta na osnove dannykh istorii razrabotki]. Differencialnie Uravnenia i protsessy upravlenia. 2023. Iss. 1. P. 1–11. https://doi.org/10.21638/11701/spbu35.2023.101 (In Russian).
12. Stefanov Yu.P., Bakeev R.A. Nonlinear properties and rheology of rocks. AIP Conference Proceedings. 2020. Vol. 2310. Iss. 1. Article No 020325. https://doi.org/10.1063/5.0034774.
13. Stefanov Yu.P. Some nonlinear rock behavior effects [Nekotorye nelineynye effekty povedeniya gornykh porod]. Phys Mesom [Fizicheskaya mezomekhanika]. 2016. Vol. 19. Iss. 6. P. 54–61 (In Russian).
14. Kazymov B.Z. Procedure for determining the dynamic characteristics of a gas reservoir with a creeping porous medium. Fluid Dynamics. 2018. Vol. 53. Iss. 2. P. 34–37. https://doi.org/10.1134/S0015462818060058.
15. Kazymov B.Z. Numerical modelling of development of the gas deposit by system of arbitrarily located well taking into account creeping deformation of rocks. SOCAR Proceedings. 2012. No 3. P. 42–46. https://doi.org/10.5510/OGP20120300122.
16. Kazymov B., Mammadov A. Determination of the developing indicators of gas layers whose rocks are creeping deformation during operation by inclined wells. 5th International Conference on Problems of Cybernetics and Informatics (PCI). Baku. Azerbaijan. 20–30 Aug. 2023. P. 1–3. https://doi.org/10.1109/PCI60110.2023.10326010.
17. Guliyev A.M., Efendiyev R.M., Kazimov B.Z. The influence of rock creep on oil recovery of deposits developed in the natural mode [Vliyanie polzuchesti gornykh porod na nefteotdachu zalezhey, razrabatyvaemykh v estestvennom rezhime]. SOCAR Proceedings. 2012. Iss. 3. P. 32–37. https://doi.org/10.5510/OGP20120300120 (In Russian).
18. Yang W., Gamage R.P., Huang C., Luo G., Guo J., Wang Sh. Loading history effect on creep deformation of rock. Energies. 2018. Vol. 11. Iss. 6. P. 1462-1 – 1462-20. https://doi.org/10. 3390/ en11061462.
19. Yang L., Zhaojie X., Zhe C., Haijun J. Progress and development directions of deep oil and gas exploration and development in China. China Petroleum Exploration. 2020. Vol. 25. No 1. P. 45–57. https://doi.org/10.3969/j.issn.1672-7703.2020.01.005 (In Chinese).
20. Wang H., Ji B., Lv C., Zhang L. The stress sensitivity of permeability in tight oil reservoirs. Energy Explor. Exploit. 2019. Vol. 37. No 4. P. 1364–1376. https://doi.org/10.1177/0144598719855819.
21. Malinin N.N. Applied Theory of Plasticity and Creep: Textbook for Universities [Prikladnaya teoriya plastichnosti i polzuchesti. Uchebnoe posobie dlya universitetov]. Moscow. Yurayt Publ. 1975. 400 p. (In Russian).
22. Abasov M.T., Jalalov G.I., Feyzullayev Kh.A. Identification of parameters of the hydrodynamic model of a gas condensate reservoir. News of the Azerbaijan National Academy of Sciences (ANAS): Earth Sciences Series. 2008. Vol. 2. P. 78–90.
23. Zhukov V.S., Pleshkov I.V. The influence of water saturation on changes in the physical properties of a reservoir [Vliyanie vodonasyshchennosti na izmenenie fizicheskikh svoystv porod-kollektorov]. Gas Science Bulletin. [Vesti gazovoy nauki]. 2018. Vol. 37. Iss. 5. P. 121–128 (In Russian).
24. Cheremisin N.A., Tolstolytkin D.V., Rzaev I.A. Direct method for calculating critical water saturation using results of capillary surveys [Pryamoy metod rascheta kriticheskoy vodonasyshchennosti po rezultatam kapillyarnykh issledovaniy]. Neftegaz Territoriya [Territoriya neftegaz]. 2021. No 11-12. P. 46–52 (In Russian).
25. Zakirov S.N. Theory and Design of Development of Gas and Gas Condensate Fields [Teoriya i proektirovanie razrabotki gazovykh i gazokodensatnykh mestorozhdeniy]. Moscow. Nauka Publ. 1989. 333 p. (In Russian).
26. Tikhonov A.N., Goncharsky A.V., Stepanov V.V., Yagola A.Q. Numerical Methods for Solving Ill-Posted Problems [Chislennye metody nekorrektnykh zadach]. Moscow. Nauka Publ. 1990. 229 p. (In Russian).
27. Vasiliev F.P. Methods for Solving Extremal Problems. Minimization in Function Spaces: Regularization and Approximation Techniques [Metody resheniya ekstremalnykh zadach: Zadachi minimizatsii v funktsionalnykh prostranstvakh, regulyarizatsiya, approksimatsiya]. Moscow. Nauka Publ. 1980. 400 p. (In Russian).
Опубликован
2026-10-07
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Copyright (c) 2026 Б.З. Казымов Kazymov, Р.М. Зейналов Zeynalov
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