geophystechГеофизические технологииRussian Journal of Geophysical Technologies2619-1563IPGG SB RAS10.18303/2619-1563-2022-2-30geophystech-242Research ArticleСтатьиРазвитие физико-математических моделей потенциалов самопроизвольной поляризации для каротажа нефтегазовых скважинDevelopment of physical and mathematical models of spontaneous polarization potentials for oil and gas well logginghttps://orcid.org/0000-0002-8485-3849ГлинскихА. В.GlinskikhA. V.

Младший научный сотрудник лаборатории многомасштабной геофизики Института нефтегазовой геологии и геофизики СО РАН. Основные научные интересы: моделирование данных электрокаротажа.

GlinskikhAV@ipgg.sbras.ruНечаевО. В.NechaevO. V.

Кандидат физико-математических наук, старший научный сотрудник лаборатории многомасштабной геофизики Института нефтегазовой геологии и геофизики СО РАН. Основные научные интересы: моделирование электромагнитных полей, решение обратных задач (методы глобальной оптимизации).

Институт нефтегазовой геологии и геофизики им. А.А. Трофимука СО РАН<br> 630090, Новосибирск, просп. Акад. Коптюга, 3РоссияTrofimuk Institute of Petroleum Geology and Geophysics SB RAS<br> Koptyug Ave., 3, Novosibirsk, 630090Russian Federation202229122022023043Copyright &#x00A9; Глинских А.В., Нечаев О.В., 20222022Глинских А.В., Нечаев О.В.Glinskikh A.V., Nechaev O.V.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.rjgt.ru/jour/article/view/242

В работе представлен обзор основных исследований, посвященных развитию теоретической модели явления самопроизвольной поляризации (ПС) и созданию алгоритмов численного моделирования данных каротажа ПС. Обсуждаются как ранние работы в области метода ПС, заложившие основы теоретического описания, так и работы последних лет, направленные на создание количественных физико-математических моделей ПС, а также посвященные развитию численных подходов к моделированию каротажных данных. Для демонстрации эффективности современных вычислительных методов в работе представлен оригинальный алгоритм, позволяющий рассчитывать сигналы ПС в интервалах заглинизированных пластов-коллекторов. Сравнение результатов моделирования сигналов ПС и практических каротажных данных показывает высокое качество используемой теоретической модели. Представленный обзор демонстрирует возможности задачи ПС для новых актуальных направлений практического применения.

Among a large number of geophysical well logging methods, the spontaneous potential (SP) logging is a most demanded one for studying geological sections, and is widely used in all drilled wells. This paper presents a brief review of the main studies on the enhancement of a theoretical model for the SP phenomenon, and on the creation of algorithms for numerical modeling of SP logging data. First of all, we discuss the studies that were conducted shortly after the discovery of the phenomenon and became fundamental in the field of SP method theory. Most of the first works were aimed at identifying the key factors that influence the shape and amplitude of SP signals. The research vector of these works contributed to the creation of interpretation charts, which are widely used even today. This review also analyses the main results of the more recent theoretical works aimed at developing a quantitative SP logging model that takes into account the petrophysical properties of the geological environment, and works related to numerical approaches for the modeling of well logging data. In addition, to demonstrate the effectiveness of modern computational methods, the paper presents an original algorithm based on the finite element method and utilizing a correct physical and mathematical model of the SP phenomenon. The proposed approach makes it possible to calculate SP signals in the intervals of clayed reservoirs, with consideration to their porosity, water saturation, as well as the type and content of clay minerals. Comparison of the SP modeling results and field logging data obtained from wells in Western Siberian fields shows a high quality of our theoretical model. The presented review of key works devoted to the theoretical description of the SP method, as well as modern numerical approaches for analysing SP logging curves in complex geological conditions, demonstrates the potential of the SP method for new areas of practical application.

Самопроизвольная поляризациякаротаж ПСчисленное моделированиеметод конечных элементовSpontaneous polarizationSP loggingnumerical modelingfinite element methodИсследовательская часть работы выполнена при финансовой поддержке проекта ФНИ № FWZZ-2022-0026 «Инновационные аспекты электродинамики в задачах разведочной и промысловой геофизики».ReferencesДахнов В.Н. Промысловая геофизика. Методы промысловой геофизики, аппаратура и оборудование, электрические методы исследования скважин. – М.: Гостоптехиздат, 1959. – 697 с.Arora T., Linde N., Revil A., Castermant J. Non-intrusive characterization of the redox potential of landfill leachate plumes from self-potential data // Journal of Contaminant Hydrology. – 2007. – Vol. 92 (3–4). – P. 274–292, doi: 10.1016/j.jconhyd.2007.01.018.Кормильцев В.В. Электрокинетические явления в пористых горных породах. – Екатеринбург, УНЦ АН СССР, 1995. – 48 с.Bautista-Anguiano J., Torres-Verdín C., Strobel J. Mechanistic 3D finite-difference simulation of borehole spontaneous potential measurements // Geophysics. – 2020. – Vol. 85 (4). – P. D105–D119, doi: 10.1190/geo2019-0632.1.Кормильцев В.В., Ратушняк А.Н. Теоретические и экспериментальные основы спонтанной поляризации горных пород в нефтегазовых скважинах. – Екатеринбург, УрО РАН, 2007. – 164 с.Dakhnov V.N. Field geophysics. Methods of field geophysics, apparatus and equipment, electrical methods of wells investigation [in Russian]. – Gostoptekhizdat, Moscow, 1959. – 697 p.Arora T., Linde N., Revil A., Castermant J. Non-intrusive characterization of the redox potential of landfill leachate plumes from self-potential data // Journal of Contaminant Hydrology. – 2007. – Vol. 92 (3–4). – P. 274–292, doi: 10.1016/j.jconhyd.2007.01.018.Doll H.G. The S.P.Log: Theoretical analysis and principles of interpretation // Transitions AIME. – 1948. – Vol. 179. – P. 146–185, doi: 10.2118/949146-G.Bautista-Anguiano J., Torres-Verdín C., Strobel J. Mechanistic 3D finite-difference simulation of borehole spontaneous potential measurements // Geophysics. – 2020. – Vol. 85 (4). – P. D105–D119, doi: 10.1190/geo2019-0632.1.Epov M., Glinskikh A., Nechaev O. Finite-element modeling of spontaneous potential in an axisymmetric reservoir model with account of its shale content // Geosciences. – 2022. – Vol. 12 (1). – Article 30, doi: 10.3390/geosciences12010030.Doll H.G. The S.P.Log: Theoretical analysis and principles of interpretation // Transitions AIME. – 1948. – Vol. 179. – P. 146–185, doi: 10.2118/949146-G.Hunt C.W., Worthington M.H. Borehole electrokinetic responses in fracture dominated hydraulically conductive zones // Geophysical Research Letters. – 2000. – Vol. 27 (9). – P. 1315–1318, doi: 10.1029/1999GL011099.Epov M., Glinskikh A., Nechaev O. Finite-element modeling of spontaneous potential in an axisymmetric reservoir model with account of its shale content // Geosciences. – 2022. – Vol. 12 (1). – Article 30, doi: 10.3390/geosciences12010030.Kormiltsev V.V. Electrokinetic phenomena in porous rocks [in Russian]. – UNTS of the USSR Academy of Sciences, Yekaterinburg, 1995. – 48 p.Hunt C.W., Worthington M.H. Borehole electrokinetic responses in fracture dominated hydraulically conductive zones // Geophysical Research Letters. – 2000. – Vol. 27 (9). – P. 1315–1318, doi: 10.1029/1999GL011099.Kormiltsev V.V., Ratushnyak A.N. Theoretical and experimental bases of spontaneous polarization of rocks in oil and gas wells [in Russian]. – Ural Branch of RAS, Yekaterinburg, 2007. – 164 p.MacAllister D.J., Graham M.T., Vinogradov J., Butler A.P., Jackson M.D. Characterizing the self-potential response to concentration gradients in heterogeneous subsurface environments // Journal of Geophysical Research: Solid Earth. – 2019. – Vol. 124 (8). – P. 7918–7933, doi: 10.1029/2019JB017829.MacAllister D.J., Graham M.T., Vinogradov J., Butler A.P., Jackson M.D. Characterizing the self-potential response to concentration gradients in heterogeneous subsurface environments // Journal of Geophysical Research: Solid Earth. – 2019. – Vol. 124 (8). – P. 7918–7933, doi: 10.1029/2019JB017829.Maineult A., Bernabé Y., Ackerer P. Detection of advected, reacting redox fronts from self-potential measurements // Journal of Contaminant Hydrology. – 2006. – Vol. 86 (1–2). – P. 32–52, doi: 10.1016/j.jconhyd.2006.02.007.Maineult A., Bernabé Y., Ackerer P. Detection of advected, reacting redox fronts from self-potential measurements // Journal of Contaminant Hydrology. – 2006. – Vol. 86 (1–2). – P. 32–52, doi: 10.1016/j.jconhyd.2006.02.007.McCardell W.M., Winsauer W.O., Williams M. Origin of the electric potential observed in wells // Petroleum Transactions, AIME. – 1953. – Vol. 198. – P. 41–50.McCardell W.M., Winsauer W.O., Williams M. Origin of the electric potential observed in wells // Petroleum Transactions, AIME. – 1953. – Vol. 198. – P. 41–50.Minsley B.J., Sogade J., Morgan F.D. Three-dimensional source inversion of self-potential data // Journal of Geophysical Research. – 2007. – Vol. 112 (B2). – Article B02202, doi: 10.1029/2006JB004262.Minsley B.J., Sogade J., Morgan F.D. Three-dimensional source inversion of self-potential data // Journal of Geophysical Research. – 2007. – Vol. 112 (B2). – Article B02202, doi: 10.1029/2006JB004262.Revil A. Ionic diffusivity, electrical conductivity, membrane and thermoelectric potentials in colloids and granular porous media: A unified model // Journal of Colloid and Interface Science. – 1999. – Vol. 212 (2). – P. 503–522, doi: 10.1006/jcis.1998.6077.Revil A. Ionic diffusivity, electrical conductivity, membrane and thermoelectric potentials in colloids and granular porous media: A unified model // Journal of Colloid and Interface Science. – 1999. – Vol. 212 (2). – P. 503–522, doi: 10.1006/jcis.1998.6077.Revil A. Thermodynamics of ions and water transport in porous media // Journal of Colloid and Interface Science. – 2007. – Vol. 307 (1). – P. 254–264, doi: 10.1016/j.jcis.2006.10.074.Revil A. Thermodynamics of ions and water transport in porous media // Journal of Colloid and Interface Science. – 2007. – Vol. 307 (1). – P. 254–264, doi: 10.1016/j.jcis.2006.10.074.Revil A., Linde N. Chemico-electromechanical coupling in microporous media // Journal of Colloid and Interface Science. – 2006. – Vol. 302 (2). – P. 682–694, doi: 10.1016/j.jcis.2006.06.051.Revil A., Linde N. Chemico-electromechanical coupling in microporous media // Journal of Colloid and Interface Science. – 2006. – Vol. 302 (2). – P. 682–694, doi: 10.1016/j.jcis.2006.06.051.Revil A., Jougnot D. Diffusion of ions in unsaturated porous materials // Journal of Colloid and Interface Science. – 2008. – Vol. 319 (1). – P. 226–235, doi: 10.1016/j.jcis.2007.10.041.Revil A., Jougnot D. Diffusion of ions in unsaturated porous materials // Journal of Colloid and Interface Science. – 2008. – Vol. 319 (1). – P. 226–235, doi: 10.1016/j.jcis.2007.10.041.Revil A., Linde N., Cerepi A., Jougnot D., Matthäi S., Finsterle S. Electrokinetic coupling in unsaturated porous media // Journal of Colloid and Interface Science. – 2007. – Vol. 313 (1). – P. 315–327, doi: 10.1016/j.jcis.2007.03.037.Revil A., Linde N., Cerepi A., Jougnot D., Matthäi S., Finsterle S. Electrokinetic coupling in unsaturated porous media // Journal of Colloid and Interface Science. – 2007. – Vol. 313 (1). – P. 315–327, doi: 10.1016/j.jcis.2007.03.037.Salazar J.M., Wang G.L., Torres-Verdín C., Lee H.J. Combined simulation and inversion of SP and resistivity logs for the estimation of connate-water resistivity and Archie’s cementation exponent // Geophysics. – 2008. – Vol. 73 (3). – P. E107–E114, doi: 10.1190/1.2890408.Salazar J.M., Wang G.L., Torres-Verdín C., Lee H.J. Combined simulation and inversion of SP and resistivity logs for the estimation of connate-water resistivity and Archie’s cementation exponent // Geophysics. – 2008. – Vol. 73 (3). – P. E107–E114, doi: 10.1190/1.2890408.Schlumberger C., Schlumberger M., Leonardon E.G. A New contribution to subsurface studies by means of electrical measurements in drill holes // Transactions of the AIME. – 1933. – Vol. 110 (1). – P. 273–289.Schlumberger C., Schlumberger M., Leonardon E.G. A New contribution to subsurface studies by means of electrical measurements in drill holes // Transactions of the AIME. – 1933. – Vol. 110 (1). – P. 273–289.Segesman F. New SP correction charts // Geophysics. – 1962. – Vol. 27 (6). – P. 815–828, doi: 10.1190/1.1439106.Segesman F. New SP correction charts // Geophysics. – 1962. – Vol. 27 (6). – P. 815–828, doi: 10.1190/1.1439106.Sen P.N. Unified model of conductivity and membrane potential of porous media // Physical Review B. – 1989. – Vol. 39 (13). – P. 9508–9517, doi: 10.1103/PhysRevB.39.9508.Sen P.N. Unified model of conductivity and membrane potential of porous media // Physical Review B. – 1989. – Vol. 39 (13). – P. 9508–9517, doi: 10.1103/PhysRevB.39.9508.Sill W.R. Self-potential modeling from primary flows // Geophysics. – 1983. – Vol. 48 (1). – P. 76–86, doi: 10.1190/1.1441409.Sill W.R. Self-potential modeling from primary flows // Geophysics. – 1983. – Vol. 48 (1). – P. 76–86, doi: 10.1190/1.1441409.Stoll J., Bigalke J., Grabner E.W. Electrochemical modelling of self-potential anomalies // Surveys in Geophysics. – 1995. – Vol. 16. – P. 107–120, doi: 10.1007/BF00682715.Stoll J., Bigalke J., Grabner E.W. Electrochemical modelling of self-potential anomalies // Surveys in Geophysics. – 1995. – Vol. 16. – P. 107–120, doi: 10.1007/BF00682715.Woodruff W.F., Revil A., Jardani A., Nummedal D., Cumella S. Stochastic Bayesian inversion of borehole self-potential measurements // Geophysical Journal International. – 2010. – Vol. 183 (2). – P. 748–764, doi 10.1111/j.1365-246X.2010.04770.x.Woodruff W.F., Revil A., Jardani A., Nummedal D., Cumella S. Stochastic Bayesian inversion of borehole self-potential measurements // Geophysical Journal International. – 2010. – Vol. 183 (2). – P. 748–764, doi 10.1111/j.1365-246X.2010.04770.x.Zhang G.J., Wang G.L. A new approach to SP computation – vector potential approach // IEEE Transactions on Geoscience and Remote Sensing. – 1999. – Vol. 37 (4). – P. 2092–2098.Zhang G.J., Wang G.L. A new approach to SP computation – vector potential approach // IEEE Transactions on Geoscience and Remote Sensing. – 1999. – Vol. 37 (4). – P. 2092–2098.

The authors declare that there are no conflicts of interest present.