Abstract
Clays have considerable influence on the electrical properties of hydrate-bearing sediments. It is desirable to understand the electrical properties of hydrate-bearing clayey sediments and to build hydrate saturation (Sh) models for reservoir evaluation and monitoring. The electrical properties of tetrahydrofuran-hydrate-bearing sediments with montmorillonite are characterized by complex conductivity at frequencies from 0.01 Hz to 1 kHz. The effects of clay and Sh on the complex conductivity were analyzed. A decrease and increase in electrical conductance result from the clay-swelling-induced blockage and ion migration in the electrical double layer (EDL), respectively. The quadrature conductivity increases with the clay content up to 10% because of the increased surface site density of counterions in EDL. Both the in-phase conductivity and quadrature conductivity decrease consistently with increasing Sh from 0.50 to 0.90. Three sets of models for Sh evaluation were developed. The model based on the Simandoux equation outperforms Archie’s formula, with a root-mean-square error (ERMS) of 1.8% and 3.9%, respectively, highlighting the clay effects on the in-phase conductivity. The frequency effect correlations based on in-phase and quadrature conductivities exhibit inferior performance (ERMS = 11.6% and 13.2%, respectively) due to the challenge of choosing an appropriate pair of frequencies and intrinsic uncertainties from two measurements. The second-order Cole-Cole formula can be used to fit the complex-conductivity spectra. One pair of inverted Cole-Cole parameters, i.e., characteristic time and chargeability, is employed to predict Sh with an ERMS of 5.05% and 9.05%, respectively.
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(1): 54–62.
Binley, A., Slater, L. D., Fukes, M., and Cassiani, G., 2005. Relationship between spectral induced polarization and hydraulic properties of saturated and unsaturated sandstone. Water Resources Research, 41(12): 2179–2187.
Börner, F. D., and Schön, J. H., 1991. A relation between the quadrature component of electrical conductivity and the specific surface area of sedimentary rocks. Log Analyst, 32(5): 612–613.
Boswell, R., 2009. Is gas hydrate energy within reach? Science, 325(5943): 957–958.
Boswell, R., and Collett, T. S., 2011. Current perspectives on gas hydrate resources. Energy & Environmental Science, 4(4): 1206–1215.
Boswell, R., Hancock, S., Yamamoto, K., Collett, T., Pratap, M., and Lee, S. R., 2020. Natural gas hydrates: Status of potential as an energy resource. In: Future Energy. Elsevier, Netherlands, 111–131.
Bu, Q., Hu, G., Liu, C., Dong, J., Xing, T., Sun, J., et al., 2021. Effect of methane gas on acoustic characteristics of hydrate-bearing sediment-model analysis and experimental verification. Journal of Ocean University of China, 20(1): 75–86.
Cai, J., Wei, W., Hu, X., and Wood, D. A., 2017. Electrical conductivity models in saturated porous media: A review. Earth Science Reviews, 171: 419–433.
Chen, X., and Espinoza, D. N., 2018. Ostwald ripening changes the pore habit and spatial variability of clathrate hydrate. Fuel, 214: 614–622.
Chibura, P. E., Zhang, W., Luo, A., and Wang, J., 2022. A review on gas hydrate production feasibility for permafrost and marine hydrates. Journal of Natural Gas Science and Engineering, 100: 104441.
Clennell, M. B., Hovland, M., Booth, J. S., Henry, P., and Winters, W. J., 1999. Formation of natural gas hydrates in marine sediments: 1. Conceptual model of gas hydrate growth conditioned by host sediment properties. Journal of Geophysical Research: Solid Earth, 104(B10): 22985–23003.
Cole, K. S., and Cole, R. H., 1941. Dispersion and absorption in dielectrics I. Alternating current characteristics. The Journal of Chemical Physics, 9(4): 341–351.
Collett, T. S., 2002. Energy resource potential of natural gas hydrates. AAPG Bulletin, 86(11): 1971–1992.
Cook, A. E., and Waite, W. F., 2018. Archie’s saturation exponent for natural gas hydrate in coarse-grained reservoirs. Journal of Geophysical Research: Solid Earth, 123(3): 2069–2089.
Cortes, D. D., Martin, A. I., Yun, T. S., Francisca, F. M., Santamarina, J. C., and Ruppel, C., 2009. Thermal conductivity of hydrate-bearing sediments. Journal of Geophysical Research: Solid Earth, 114: B11103.
Dai, S., Lee, C., and Santamarina, J. C., 2011. Formation history and physical properties of sediments from the Mount Elbert gas hydrate stratigraphic test well, Alaska North Slope. Marine and Petroleum Geology, 28(2): 427–438.
de Lima, O. A., and Sharma, M. M., 1990. A grain conductivity approach to shaly sandstones. Geophysics, 55(10): 1347–1356.
du Frane, W. L., Stern, L. A., Constable, S., Weitemeyer, K. A., Smith, M. M., and Roberts, J. J., 2015. Electrical properties of methane hydrate+sediment mixtures. Journal of Geophysical Research: Solid Earth, 120: 4773–4783.
du Frane, W. L., Stern, L. A., Weitemeyer, K. A., Constable, S., Pinkston, J. C., and Roberts, J. J., 2011. Electrical properties of polycrystalline methane hydrate. Geophysical Research Letters, 38(9): 1–5.
Dugarov, G. A., Duchkov, A. A., Duchkov, A. D., and Drobchik, A. N., 2019. Laboratory validation of effective acoustic velocity models for samples bearing hydrates of different type. Journal of Natural Gas Science and Engineering, 63: 38–46.
Freedman, R., and Vogiatzis, J. P., 1986. Theory of induced-polarization logging in a borehole. Geophysics, 51(9): 1830–1849.
Guo, K., Fan, S., Wang, Y., Lang, X., Zhang, W., and Li, Y., 2020. Physical and chemical characteristics analysis of hydrate samples from northern South China Sea. Journal of Natural Gas Science and Engineering, 81: 103476.
Hassan, M. S., Villieras, F., Gaboriaud, F., and Razafitianamaharavo, A., 2006. AFM and low-pressure argon adsorption analysis of geometrical properties of phyllosilicates. Journal of Colloid and Interface Science, 296(2): 614–623.
Hu, X., Zou, C., Lu, Z., Yu, C., Peng, C., Li, W., et al., 2019. Evaluation of gas hydrate saturation by effective medium theory in shaly sands: A case study from the Qilian Mountain permafrost, China. Journal of Geophysics and Engineering, 16(1): 215–228.
Huang, L., Xu, C., Xu, J., Zhang, X., and Xia, F., 2021. The depressurization of natural gas hydrate in the multi-physics coupling simulation based on a new developed constitutive model. Journal of Natural Gas Science and Engineering, 95: 103963.
Jang, J., and Santamarina, J. C., 2016. Hydrate bearing clayey sediments: Formation and gas production concepts. Marine and Petroleum Geology, 77: 235–246.
Jiang, M., Ke, S., and Kang, Z., 2018. Measurements of complex resistivity spectrum for formation evaluation. Measurement, 124: 359–366.
Jung, J., Ryou, J. E., Al-Raoush, R. I., Alshibli, K., and Lee, J. Y., 2020. Effects of CH4-CO2 replacement in hydrate-bearing sediments on S-wave velocity and electrical resistivity. Journal of Natural Gas Science and Engineering, 82: 103506.
Kemna, A., 2000. Tomographic inversion of complex resistivity: Theory and application. Proceedings of SPIE — The International Society for Optical Engineering, 490(6): 59–67.
Klein, J. D., and Sill, W. R., 1982. Electrical properties of artificial clay-bearing sandstone. Geophysics, 47(11): 1593–1605.
Knight, R. J., and Nur, A., 1987. The dielectric constant of sandstones, 60 kHz to 4 MHz. Geophysics, 52(5): 644–654.
Koh, C. A., Sum, A. K. E., and Sloan, E. D., 2012. State of the art: Natural gas hydrates as a natural resource. Journal of Natural Gas Science and Engineering, 8: 132–138.
Kvenvolden, K. A., 1993. Gas hydrates—Geological perspective and global change. Reviews of Geophysics, 31(2): 173–187.
Lee, J. Y., Francisca, F. M., Santamarina, J. C., and Ruppel, C., 2010a. Parametric study of the physical properties of hydrate-bearing sand, silt, and clay sediments: 2. Small-strain mechanical properties. Journal of Geophysical Research: Solid Earth, 115: B11105.
Lee, J. Y., Santamarina, J. C., and Ruppel, C., 2010b. Parametric study of the physical properties of hydrate-bearing sand, silt, and clay sediments: 1. Electromagnetic properties. Journal of Geophysical Research: Solid Earth, 115: B11104.
Lee, J. Y., Yun, T. S., Santamarina, J. C., and Ruppel, C., 2007. Observations related to tetrahydrofuran and methane hydrates for laboratory studies of hydrate-bearing sediments. Geochemistry, Geophysics, Geosystems, 8(6): Q06003.
Lee, M. W., and Collett, T. S., 2008. Integrated analysis of well logs and seismic data to estimate gas hydrate concentrations at Keathley Canyon, Gulf of Mexico. Marine and Petroleum Geology, 25(9): 924–931.
Lee, M. W., Hutchinson, D. R., Collett, T. S., and Dillon, W. P., 1996. Seismic velocities for hydrate-bearing sediments using weighted equation. Journal of Geophysical Research: Solid Earth, 101(B9): 20347–20358.
Lei, L., Liu, Z., Seol, Y., Boswell, R., and Dai, S., 2019a. An investigation of hydrate formation in unsaturated sediments using X-Ray computed tomography. Journal of Geophysical Research: Solid Earth, 124(4): 3335–3349.
Lei, L., Seol, Y., Choi, J. H., and Kneafsey, T. J., 2019b. Pore habit of methane hydrate and its evolution in sediment matrix—Laboratory visualization with phase-contrast micro-CT. Marine and Petroleum Geology, 104: 451–467.
Leroy, P., and Revil, A., 2009. A mechanistic model for the spectral induced polarization of clay materials. Journal of Geophysical Research: Solid Earth, 114: B10202.
Leroy, P., Revil, A., Kemna, A., Cosenza, P., and Ghorbani, A., 2008. Complex conductivity of water-saturated packs of glass beads. Journal of Colloid and Interface Science, 321(1): 103–117.
Li, J., Ke, S., Yin, C., Kang, Z., Jia, J., and Ma, X., 2019. A laboratory study of complex resistivity spectra for predictions of reservoir properties in clear sands and shaly sands. Journal of Petroleum Science and Engineering, 177: 983–994.
Liu, C., Meng, Q., He, X., Li, C., Ye, Y., Zhang, G., et al., 2015. Characterization of natural gas hydrate recovered from Pearl River Mouth Basin in South China Sea. Marine and Petroleum Geology, 61: 14–21.
Liu, C., Meng, Q., Hu, G., Li, C., Sun, J., He, X., et al., 2017. Characterization of hydrate-bearing sediments recovered from the Shenhu area of the South China Sea. Interpretation, 5(3): 13–23.
Liu, C., Ye, Y., Meng, Q., He, X., Lu, H., Zhang, J., et al., 2012. The characteristics of gas hydrates recovered from Shenhu area in the South China Sea. Marine Geology, 307–310: 22–27.
Liu, J. W., and Li, X. S., 2021. Recent advances on natural gas hydrate exploration and development in the South China Sea. Energy & Fuels, 35(9): 7528–7552.
Liu, Z., Kim, J., Lei, L., Ning, F., and Dai, S., 2019. Tetrahydrofuran hydrate in clayey sediments—Laboratory formation, morphology, and wave characterization. Journal of Geophysical Research: Solid Earth, 124(4): 3307–3319.
Ma, X., Jiang, D., Lu, J., Fang, X., Yang, P., and Xia, D., 2022. Hydrate formation and dissociation characteristics in clayey silt sediment. Journal of Natural Gas Science and Engineering, 100: 104475.
Ma, X., Sun, Y., Guo, W., Jia, R., and Li, B., 2020. Effects of irreducible fluid saturation and gas entry pressure on gas production from hydrate-bearing clayey silt sediments by depressurization. Geofluids, 2020: 9382058.
Milkov, A. V., 2004. Global estimates of hydrate-bound gas in marine sediments: How much is really out there? Earth-Science Reviews, 66(3–4): 183–197.
Moridis, G. J., Collett, T. S., Boswell, R., Kurihara, M., Reagan, M. T., Koh, C. A., et al., 2009. Toward production from gas hydrates: Current status, assessment of resources, and simulation-based evaluation of technology and potential. SPE Reservoir Evaluation & Engineering, 12(5): 745–771.
Moridis, G. J., Collett, T. S., Pooladi-Darvish, M., Hancock, S., Santamarina, C., Boswell, R., et al., 2011. Challenges, uncertainties and issues facing gas production from gas hydrate deposits. SPE Reservoir Evaluation & Engineering, 14(1): 76–112.
Okay, G., Leroy, P., Ghorbani, A., Cosenza, P., Camerlynck, C., Cabrera, J., et al., 2014. Spectral induced polarization of clay-sand mixtures: Experiments and modeling. Geophysics, 79(6): E353–E375.
Osterman, G., Keating, K., Binley, A., and Slater, L., 2016. A laboratory study to estimate pore geometric parameters of sandstones using complex conductivity and nuclear magnetic resonance for permeability prediction. Water Resources Research, 52(6): 4321–4337.
Osterman, G., Sugand, M., Keating, K., Binley, A., and Slater, L., 2019. Effect of clay content and distribution on hydraulic and geophysical properties of synthetic sand-clay mixtures. Geophysics, 84(4): E239–E253.
Pearson, C., Murphy, J., and Hermes, R., 1986. Acoustic and resistivity measurements on rock samples containing tetrahydrofuran hydrates: Laboratory analogues to natural gas hydrate deposits. Journal of Geophysical Research: Solid Earth, 91(B14): 14132–14138.
Permyakov, M. E., Manchenko, N. A., Duchkov, A. D., Manakov, A. Y., Drobchik, A. N., and Manshtein, A. K., 2017. Laboratory modeling and measurement of the electrical resistivity of hydrate-bearing sand samples. Russian Geology and Geophysics, 58(5): 642–649.
Ren, J., Liu, X., Niu, M., and Yin, Z., 2022. Effect of sodium montmorillonite clay on the kinetics of CH4 hydrate-implication for energy recovery. Chemical Engineering Journal, 437: 135368.
Revil, A., 2013. Effective conductivity and permittivity of unsaturated porous materials in the frequency range 1 mHz— 1 GHz. Water Resources Research, 49(1): 306–327.
Revil, A., Binley, A., Mejus, L., and Kessouri, P., 2015. Predicting permeability from the characteristic relaxation time and intrinsic formation factor of complex conductivity spectra. Water Resources Research, 51(8): 6672–6700.
Revil, A., Coperey, A., Deng, Y., Cerepi, A., and Seleznev, N., 2017a. Complex conductivity of tight sandstones. Geophysics, 83(2): 55–74.
Revil, A., Coperey, A., Shao, Z., Florsch, N., Fabricius, I. L., Deng, Y., et al., 2017b. Complex conductivity of soils. Water Resources Research, 53(8): 7121–7147.
Revil, A., Eppehimer, J. D., Skold, M., Karaoulis, M., Godinez, L., and Prasad, M., 2013. Low-frequency complex conductivity of sandy and clayey materials. Journal of Colloid and Interface Science, 398: 193–209.
Revil, A., Karaoulis, M., Johnson, T., and Kemna, A., 2012a. Some low-frequency electrical methods for subsurface characterization and monitoring in hydrogeology. Hydrogeology Journal, 20(4): 617–658.
Revil, A., Koch, K., and Holliger, K., 2012b. Is it the grain size or the characteristic pore size that controls the induced polarization relaxation time of clean sands and sandstones? Water Resources Research, 48(5): 1–7.
Riedel, M., Collett, T. S., and Hyndman, R. D., 2005. Gas hydrate concentration estimates from chlorinity, electrical resistivity and seismic velocity. Geological Survey of Canada, Open File 4934. Ottawa, 1–36.
Rogner, H. H., 1997. An assessment of world hydrocarbon resources. Annual Review of Energy and the Environment, 22: 217–262.
Ruffet, C., Gueguen, Y., and Darot, M., 1991. Complex conductivity measurements and fractal nature of porosity. Geophysics, 56(6): 758–768.
Santamarina, J. C., and Ruppel, C., 2008. The impact of hydrate saturation on the mechanical, electrical, and thermal properties of hydrate-bearing sand, silts, and clay. Proceedings of the 6th International Conference on Gas Hydrate. Vancouver, 1–13.
Schmutz, M., Blondel, A., and Revil, A., 2012. Saturation dependence of the quadrature conductivity of oil-bearing sands. Geophysical Research Letters, 39(3): L03402.
Seigel, H. O., 1959. Mathematical formulation and type curves for induced polarization. Geophysics, 24(3): 547–565.
Shankar, U., and Riedel, M., 2011. Gas hydrate saturation in the Krishna-Godavari Basin from P-wave velocity and electrical resistivity logs. Marine and Petroleum Geology, 28(10): 1768–1778.
Shepard, F. P., 1954. Nomenclature based on sand-silt-clay ratios. Journal of Sedimentary Petrology, 24(3): 151–158.
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.
Sriram, G., Dewangan, P., and Ramprasad, T., 2014. Modified effective medium model for gas hydrate bearing, clay-dominated sediments in the Krishna-Godavari Basin. Marine and Petroleum Geology, 58: 321–330.
Sun, J., Li, C., Hao, X., Liu, C., Chen, Q., and Wang, D., 2020. Study of the surface morphology of gas hydrate. Journal of Ocean University of China, 19(2): 331–338.
Tarasov, A., and Titov, K., 2013. On the use of the Cole-Cole equations in spectral induced polarization. Geophysical Journal International, 195(1): 352–356.
Tong, M., and Tao, H., 2008. Permeability estimating from complex resistivity measurement of shaly sand reservoir. Geophysical Journal International, 173(2): 733–739.
Ulrich, C., and Slater, L., 2004. Induced polarization measurements on unsaturated, unconsolidated sands. Geophysics, 69(3): 762–771.
Vinegar, H. J., and Waxman, M. H., 1984. Induced polarization of shaly sands. Geophysics, 49(8): 1267–1287.
Wang, X., Hutchinson, D. R., Wu, S., Yang, S., and Guo, Y., 2011. Elevated gas hydrate saturation within silt and silty clay sediments in the Shenhu area, South China Sea. Journal of Geophysical Research: Solid Earth, 116: B05102.
Waxman, M. H., and Smits, L. J. M., 1968. Electrical conductivities in oil-bearing shaly sands. Society of Petroleum Engineers Journal, 8(2): 107–122.
Wei, J., Liang, J., Lu, J., Zhang, W., and He, Y., 2019. Characteristics and dynamics of gas hydrate systems in the northwestern South China Sea—Results of the fifth gas hydrate drilling expedition. Marine and Petroleum Geology, 110: 287–298.
Weller, A., Nordsiek, S., and Debschütz, W., 2010. Estimating permeability of sandstone samples by nuclear magnetic resonance and spectral-induced polarization. Geophysics, 75(6): 215–226.
Worthington, P. F., and Collar, F. A., 1984. Relevance of induced polarization to quantitative formation evaluation. Marine and Petroleum Geology, 1(1): 14–26.
Wu, P., Li, Y., Sun, X., Liu, W., and Song, Y., 2021. Mechanical characteristics of hydrate-bearing sediment: A review. Energy & Fuels, 35(2): 1041–1057.
Xing, L., Niu, J., Zhang, S., Cao, S., Wang, B., Lao, L., et al., 2022. Experimental study on hydrate saturation evaluation based on complex electrical conductivity of porous media. Journal of Petroleum Science and Engineering, 208: 109539.
Xing, L., Qi, S., Xu, Y., Wang, B., Lao, L., Wei, W., et al., 2021. Numerical study on complex conductivity characteristics of hydrate-bearing porous media. Journal of Natural Gas Science and Engineering, 95: 104145.
Xing, L., Zhu, T., Niu, J., Liu, C., and Wang, B., 2020. Development and validation of an acoustic-electrical joint testing system for hydrate-bearing porous media. Advances in Mechanical Engineering, 12(3): 1–11.
Yun, T. S., Santamarina, J. C., and Ruppel, C., 2007. Mechanical properties of sand, silt, and clay containing tetrahydrofuran hydrate. Journal of Geophysical Research: Solid Earth, 112: B04106.
Zhang, Q., Yang, Z., He, T., Lu, H., and Zhang, Y., 2021. Growth pattern of dispersed methane hydrates in brine-saturated unconsolidated sediments via joint velocity and resistivity analysis. Journal of Natural Gas Science and Engineering, 96: 104279.
Zhang, Y., Park, H., Nishizawa, O., Kiyama, T., Liu, Y., Chae, K., et al., 2017. Effects of fluid displacement pattern on complex electrical impedance in Berea sandstone over frequency range 104–106 Hz. Geophysical Prospecting, 65(4): 1053–1070.
Zhang, Z., Liu, L., Ning, F., Liu, Z., Sun, J., Li, X., et al., 2022. Effect of stress on permeability of clay silty cores recovered from the Shenhu hydrate area of the South China Sea. Journal of Natural Gas Science and Engineering, 99: 104421.
Acknowledgements
This work is supported by the Fundamental Research Funds for the Central Universities (No. 20CX05005A), the Major Scientific and Technological Projects of CNPC (No. ZD2019-184-001), the PetroChina Innovation Foundation (No. 2018D-5007-0214), the Shandong Provincial Natural Science Foundation (No. ZR2019MEE095), and the National Natural Science Foundation of China (No. 4217 4141).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Xing, L., Zhang, S., Zhang, H. et al. Saturation Estimation with Complex Electrical Conductivity for Hydrate-Bearing Clayey Sediments: An Experimental Study. J. Ocean Univ. China 23, 173–189 (2024). https://doi.org/10.1007/s11802-023-5492-x
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11802-023-5492-x