A Model for the Water Saturation Dependence of Electrical Conductivity of Porous Media

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已出版: 6月 19, 2025

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Luong Duy Thanh
Thuyloi University, Hanoi 116705, Vietnam
Nguyen Manh Hung
Thuyloi University, Hanoi 116705, Vietnam, Graduate School, Phenikaa University, Hanoi 12116, Vietnam, Phenikaa Institute for Advanced Study (PIAS), Phenikaa University, Hanoi 10000, Vietnam
Nguyen Van Nghia
Thuyloi University, Hanoi 116705, Vietnam
Phan Van Do
Thuyloi University, Hanoi 116705, Vietnam
Nguyen Tien Hung
Institute of Earth Science, Vietnam Academy of Science and Technology, Hanoi 10000, Vietnam

摘要

Electrical conductivity (EC) measurement has been extensively applied for characterization of geological media on account of its high sensitivity to various parameters of water-filled porous media (i.e., structure, water content, water composition). It is one of most frequently used methods in geological, geotechnical, and environmental problems. Its effectiveness relies on theoretical models that relate the EC and parameters of porous media. In this work, we develop an EC model for porous media under partially saturated conditions using a bundle of capillary tubes model. The proposed model is expressed in terms of electrical conductivity of pore water, electrical surface conductivity, water saturation, microstructure parameters of porous media (e.g., porosity, tortuosity, minimum and maximum pore radii) and their pore size distribution. The model is then numerically analyzed and successfully compared with experimental data in literature and published models.

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Luong Duy Thanh, Nguyen Manh Hung, Nguyen Van Nghia, Phan Van Do, & Nguyen Tien Hung. (2025). A Model for the Water Saturation Dependence of Electrical Conductivity of Porous Media. Science & Technology Asia, 30(2), 97–107. 取读于 从 https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/256910
期
Vol.30 No.2 (April-June 2025)
栏目
Physical sciences
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参考

Binley A, Hubbard SS, Huisman JA, Revil A, Robinson DA, Singha K, et al. The emergence of hydrogeophysics for improved understanding of subsurface processes over multiple scales. Water Resources Research. 2015;51(6):3837-66.

Loiseau B, Carrière SD, Jougnot D, Singha K, Mary B, Delpierre N, et al. The geophysical toolbox applied to forest ecosystems–A review. Science of the Total Environment. 2023:165503.

Kemna A, Vanderborght J, Kulessa B, Vereecken H. Imaging and characterization of subsurface solute transport using electrical resistivity tomography (ERT) and equivalent transport models. Journal of hydrology. 2002;267(3-4):125-46.

Samouëlian A, Cousin I, Tabbagh A, A B, Richard G. Electrical resistivity survey in soil science: A review. Soil and Tillage Research. 2005 09;83:173-93.

Archie GE. The electrical resistivity log as an aid in determining some reservoir characteristics. Petroleum Transactions of AIME. 1942;146:54-62.

Friedman SP. Soil properties influencing apparent electrical conductivity: a review. Computers and Electronics in Agriculture. 2005;46(1):45-70.

Laloy E, Javaux M, Vanclooster M, Roisin C, Bielders CL. Electrical Resistivity in a Loamy Soil: Identification of the Appropriate Pedo Electrical Model. Vadose Zone Journal. 2011;10:1023-33.

Ewing RP, Hunt AG. Dependence of the Electrical Conductivity on Saturation in Real Porous Media. Vadose Zone Journal. 2006;5(2):731-41.

Cai J, Wei W, Hu X, Wood DA. Electrical conductivity models in saturated porous media: A review. Earth Science Reviews. 2017;171:419-33.

Sen PN, Scala C, Cohen MH. A selfsimilar model for sedimentary rocks with application to the dielectric constant of fused glass beads. Geophysics. 1981;46(5):781-95.

Wang KW, Sun JM, Guan JT, Zhu DW. A percolation study of electrical properties of reservoir rocks. Physica A: Statistical Mechanics and its Applications. 2007;380:19 26.

Mualem Y, Friedman SP. Theoretical Prediction of Electrical Conductivity in Saturated and Unsaturated Soil. Water Resources Research. 1991;27(10):2771-7.

Waxman MH, Smits LJM. Electrical conductivities in oil bearing shaly sands. Society of Petroleum Engineers Journal. 1968;8:107-22.

Brovelli A, Cassiani G, Dalla E, Bergamini F, Pitea D, Binley AM. Electrical properties of partially saturated sandstones: Novel computational approach with hydrogeophysical applications. Water Resources Research. 2005;41(8).

Bussian AE. Electrical conductance in a porous medium. Geophysics. 1983;48(9):1258-68.

Ghanbarian B, Hunt A, Skinner T, Ewing RP. Saturation dependence of transport in porous media predicted by percolation and effective medium theories. Fractals. 2015;23(01):1540004.

Pride S. Governing equations for the coupled electromagnetics and acoustics of porous media. Physical Review B. 1994;50(21):15678-96.

Linde N, Binley A, Tryggvason A, Pedersen LB, Revil A. Improved hydrogeophysical characterization using joint inversion of cross hole electrical resistance and ground-penetrating radar traveltime data. Water Resources Research. 2006;42(12).

Thanh LD, Jougnot D, Van Do P, Van Nghia A N. A physically based model for the electrical conductivity of watersaturated porous media. Geophysical Journal International. 2019;219(2):866-76.

Rembert F, Jougnot D, Guarracino L. A fractal model for the electrical conductivity of water-saturated porous media during mineral precipitation-dissolution processes. Advances in Water Resources. 2020;145:103742.

Luo H, Jougnot D, Jost A, Teng J, Thanh LD. A capillary bundle model for the electrical conductivity of saturated frozen porous media. Journal of Geophysical Research: Solid Earth. 2023;128(3):e2022JB025254.

Soldi M, Rembert F, Guarracino L, Jougnot D. Electrical conductivity model for reactive porous media under partially saturated conditions with hysteresis effects. Advances in Water Resources. 2024;193:104815.

Luo H, Jougnot D, Jost A, Teng J, Mendieta A, Lin G, et al. Predicting the electrical conductivity of partially saturated frozen porous media, a fractal model for wide ranges of temperature and salinity. Water Resources Research. 2024;60(3):e2023WR034845.

Jackson MD. Multiphase electrokinetic coupling: Insights into the impact of fluid and charge distribution at the pore scale from a bundle of capillary tubes model. Journal of Geophysical Research: Solid Earth. 2010;115(B7).

Vinogradov J, Hill R, Jougnot D. Influence of pore size distribution on the electrokinetic coupling coefficient in two-phase flow conditions. Water. 2021;13(17):2316.

Solazzi SG, Thanh LD, Hu K, Jougnot D. Modeling the Frequency-Dependent Effective Excess Charge Density in Partially Saturated Porous Media. Journal of Geophysical Research: Solid Earth. 2022;127(11):e2022JB024994.

Nghia NV, Hung N, Thanh L. A Model for Electrical Conductivity of Porous Materials under Saturated Conditions. VNU Journal of Science: Mathematics -Physics. 2021;37(2).

Thanh LD, Jougnot D, Van Do P, Tuyen VP, Ca NX, Hien NT. A physically based model for the electrical conductivity of partially saturated porous media. Geophysical Journal International. 2020;223(2):993-1006.

Jurin J. II. An account of some experiments shown before the Royal Society; with an enquiry into the cause of the ascent and suspension of water in capillary tubes. Philosophical Transactions of the Royal Society of London. 1719;30(355):739-47.

Revil A, Cathles III LM, Losh S, Nunn JA. Electrical conductivity in shaly sands with geophysical applications. Journal of Geophysical Research: Solid Earth. 1998;103(B10):23925-36.

Glover P. What is the cementation exponent? A new interpretation. The Leading Edge. 2009;28(1):82-5.

Alkafeef SF, Alajmi AF. Streaming potentials and conductivities of reservoir rock cores in aqueous and non-aqueous liquids. Colloids and Surfaces A: Physicochem Eng Aspects. 2006;289:141-8.

Thanh LD, Sprik R. Permeability dependence of streaming potential coefficient in porous media. Geophysical Prospecting. 2016;64(3):714-25.

Nishiyama N, Yokoyama T. Permeability of porous media: Role of the critical pore size. Journal of Geophysical Research: Solid Earth. 2017;122(9):6955-71.

Weerts AH, Bouten W, Verstraten JM. Simultaneous measurement of water retention and electrical conductivity in soils: Testing the Mualem-Friedman Tortuosity Model. Water Resources Research. 1999;35(6):1781-7.

Berg CF, Kennedy WD, Herrick DC. Conductivity in partially saturated porous media described by porosity, electrolyte saturation and saturation-dependent tortuosity and constriction factor. Geophysical Prospecting. 2022;70(2):400-20.

Doussan C, Ruy S. Prediction of unsaturated soil hydraulic conductivity with electrical conductivity. Water Resources Research. 2009;45(10).

Revil A, Glover PWJ. Nature of surface electrical conductivity in natural sands, sandstones, and clays. Geophysical Research Letters. 1998;25(5):691-4.

Lorne B, Perrier F, Avouac JP. Streaming potential measurements: 1. Properties of the electrical double layer from crushed rock samples. Journal of Geophysical Research. 1999;104(B8):17.857-17.877.