Abstract
The conductive model of complex shaly sandstones is used to describe the rock-electric characteristics, which is the key to reservoir saturation evaluation. At present, conductive models as a single factor are unable to accurately reflect the conductive property of complex shaly sandstones, which limits the evaluation precision of reservoir saturation. In this paper, by incorporating multiple factors of shale, pore structure, and conductive structure, a novel modified equivalent rock element model (MEREM) is developed to analyze the rock-electric characteristics and calculate the reservoir saturation in complex shaly sandstones. Our studies show that pore structure and shale significantly influence the conductive property of complex shaly sandstones. However, they have the opposite effect and may cancel out each other. Moreover, the conductive model presented here has achieved promising results in interpreting experimental data. Furthermore, the MEREM is extended to oil-bearing shaly sandstones, demonstrating that the rock resistivity at different saturation is sensitive to pore structure and shale. The MEREM is applied to predict the reservoir saturation, and the computed saturation is found to be well-matched with cores. Therefore, the proposed MEREM is good for interpreting rock-electric characteristics and the evaluation of reservoir saturation in complex shaly sandstones.
Similar content being viewed by others
References
Archie, G. E. (1942). The electrical resistivity log as an aid in determining some reservoir characteristics. Transactions of the AIME, 146(01), 54–62.
Berg, C. R. (1995). A simple, effective-medium model for water saturation in porous rocks. Geophysics, 60, 1070–1080.
Bruggeman, D. A. G. (1935). Berechnung verschiedener physikalischer konstanten von heterogenen substantzen. Archiv fur Elektrotechnik, 24, 636–664.
Bussian, A. E. (1983). Electrical conductance in a porous medium. Geophysics, 48(9), 1258–1268.
Clavier, C., Coates, G., & Dumanoir, J. (1984). Theoretical and experimental bases for the dual-water model for interpretation of shaly sands. SPE Journal, 24(2), 153–168.
De-Kuijper, A., Sandor, R. K. J., & Hofman, J. P. (1996). Electrical conductivities in oil-bearing shaly sand accurately described with the SATORI saturation model. The Log Analyst, 37(5), 22–31.
Glover, P. W. J., Hole, M. J., & Pous, J. (2000). A modified Archie’s law for two conducting phases. Earth and Planetary Science Letters, 180, 369–383.
Glover, P. W. J., Ransford, T. J., & Auger, G. (2010). A simple method for solving the Bussian equation for electrical conduction in rocks. Solid Earth, 1, 85–91.
Hanai, T. (1968). Electrical properties of emulsions. In P. Sherman (Ed.), Emulsion science. Cambridge, Massachusetts: Academic Press Inc.
Herrick, D., & Kennedy, W. (1994). Electrical efficiency—a pore geometric theory for interpreting the electrical properties of reservoir rocks. Geophysics, 59(6), 918–927.
Hossin, A. (1960). Calcul des saturations en eau par la methode du ciment argileux (formuled’ Archie generalisee). Bulletin Association Francaise des Techniciens du Petrole, 140, 1–10.
Hu, Q. H., Zhang, Y. X., Meng, X. H., Li, Z., Xie, Z. H., & Li, M. W. (2017). Characterization of micro-nano pore networks in shale oil reservoirs of Paleogene Shahejie formation in Dongying Sag of Bohai Bay basin East China. Petroleum Exploration and Development, 44(5), 720–730.
Kennedy, W., & Herrick, D. (2012). Conductivity models for Archie rocks. Geophysics, 77(3), WA109–WA128.
Lima, O. A. L., & Sharma, M. M. (1990). A grain conductivity approach to shaly sands. Geophysics, 55, 1347–1356.
Liu, T. Y., Tang, T. Z., Du, H. H., Zhang, H. N., & Wang, H. T. (2013). Study of rock conductive mechanism based on pore structure. Chinese Journal of Geophysics, 56, 674–684.
Myers, M. T. (1989). Pore combination modeling: Extending the Hanai–Bruggeman equation. In SPWLA 30th annual logging symposium.
Patnode, W. H., & Wyllie, M. R. J. (1950). The presence of conductive solids in reservoir rocks as factor in electric log interpretation. Petroleum Transactions of the American Institute of Mining, Metallurgical, and Petroleum Engineers, 189, 47–52.
Poupon, A., & Leveaux, J. (1971). Evaluation of water saturation in shaly formations. In SPWLA 12th annual logging symposium.
Revil, A., & Glover, P. (1997). Theory of ionic-surface electrical conduction in porous media. Physical Review B - Condensed Matter and Materials Physics, 55, 1757–1773.
Revil, A., & Glover, P. W. J. (1998). Nature of surface electrical conductivity in natural sands, sandstones, and clays. Geophysical Research Letters, 25, 691–694.
Shang, B. Z., Hamman, J. G., & Caldwell, D. H. (2003). A physical model to explain the first Archie relationship and beyond. In SPE84300 presented at SPE annual technical conference and exhibition, Denver, Colorado.
Shedid, S. A., & Saad, M. A. (2017). Comparison and sensitivity analysis of water saturation models in shaly sandstone reservoirs using well logging data. Journal of Petroleum Science and Engineering, 156, 536–545.
Simandoux, P. (1963). Dielectric measurements on porous media, application to the measurements of water saturation: Study of behavior of argillaceous formations. Revue de L’institut Francais du Petrole, 18, 193–215.
Song, Y. J., Shi, Y., & Tang, X. M. (2005). Comparison of three double layer conductivity models for shaly sands. Well Logging Technology, 29(6), 488–492.
Tenchov, G. G. (1998). Evaluation of electrical conductivity of shaly sands using the theory of mixtures. Journal of Petroleum Science and Engineering, 21, 263–271.
Verwer, K., Eberli, G. P., & Weger, R. J. (2011). Effect of pore structure on electrical resistivity in carbonates. AAPG Bulletin, 95(2), 175–190.
Waxman, M. H., & Smits, L. J. M. (1968). Electrical conductivities in oil-bearing shaly sands. SPE Journal, 8(2), 107–122.
Woodhouse, R., & Warner, H. (2004). Improved log analysis in shaly-sandstones-based on Sw and hydrocarbon pore volume routine measurements of preserved cores cut in oil-based mud. Petrophysics, 45, 281–295.
Wyllie, M. R. J., & Southwick, P. F. (1953). An experimental investigation of the S.P. and resistivity phenomena in dirty sands. Journal of Petroleum Technology, 6(2), 44–57.
Zhong, Z. Q., Rezaee, R., Josh, M., Esteban, L., & Sarmadivaleh, M. (2022). The salinity dependence of electrical conductivity and Archie’s cementation exponent in shale formations. Journal of Petroleum Science and Engineering, 208, 109324.
Funding
This work was supported by the National 863 Program (Grant No.2006AA06Z214), Natural Science Foundation of China (Grant No.41476027), Natural Science Foundation of China (Grant No.41874164), and China National Petroleum Corporation Research Project (Grant No. 2011B-4000).
Author information
Authors and Affiliations
Contributions
He Meng and Tangyan Liu contributed to the methodology; He Meng and Yueming Ye were involved in the derivation and test of the theoretical model; He Meng and Shiqiong Liu contributed to the writing—original draft preparation; Cun Yang and Libao Wang were involved in paper proofreading and editing; Tangyan Liu was involved in the supervision. All authors read and approved the final manuscript.
Corresponding author
Ethics declarations
Conflict of Interest
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Meng, H., Ye, Y., Liu, T. et al. Theoretical Study on Rock-Electric Characteristics of Complex Shaly Sandstones and its Application to Reservoir Saturation Evaluation. Nat Resour Res 32, 795–811 (2023). https://doi.org/10.1007/s11053-022-10153-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11053-022-10153-5