Coupled heat and salt transport in engineered geomaterials and subsurface systems: Theory, model, and engineering implications

Zhenghao Fan , Wengang Zhang , Haiqing Yang , Ting Bao , Yang Nie

Underground Space ›› 2026, Vol. 28 ›› Issue (3) : 242 -277.

PDF (15334KB)
Underground Space ›› 2026, Vol. 28 ›› Issue (3) :242 -277. DOI: 10.1016/j.undsp.2026.03.004
Review Article
research-article
Coupled heat and salt transport in engineered geomaterials and subsurface systems: Theory, model, and engineering implications
Author information +
History +
PDF (15334KB)

Abstract

This paper presents a state-of-the-art review on the recent theories and models for the coupled heat and salt transport, i.e., thermo-haline transport (THT), in engineered geomaterials and subsurface systems. The primary progress in simulating coupled THT in soils under both positive and subzero temperature conditions is discussed, with the critical role of water phase transitions in driving THT emphasized. Furthermore, existing theories and models for describing THT in both rock matrices and fractures are systematically categorized, highlighting the significant influence of fractures on THT, which, however, has been less discussed before. The potential applications of THT in various engineering are outlined, clarifying the pivotal role of THT mechanisms in addressing challenges across these engineering. Finally, this paper identifies key future research directions for advancing coupled THT theories to resolve critical geo-engineering challenges, including the influence of porosity variations on THT in geomaterials, fracture-dominated THT interactions, the impact of THT on the efficiency of subsurface operations associated with salt transfer, and the need for conducting experimental studies to validate and improve the performance and accuracy of the existing THT models.

Keywords

Thermohaline transport / Coupled models / Engineered geomaterials / Subsurface systems

Cite this article

Download citation ▾
Zhenghao Fan, Wengang Zhang, Haiqing Yang, Ting Bao, Yang Nie. Coupled heat and salt transport in engineered geomaterials and subsurface systems: Theory, model, and engineering implications. Underground Space, 2026, 28 (3) : 242-277 DOI:10.1016/j.undsp.2026.03.004

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Aly, N., Gomez-Heras, M., Hamed, A., de Buergo, M. A., & Soliman, F. (2015). The influence of temperature in a capillary imbibition salt weathering simulation test on Mokattam limestone. Materiales de Construcción, 65(317).

[2]

Alzamel, M., Haruna, S., & Fall, M . (2022). Saturated hydraulic conductivity of bentonite-sand barrier material for nuclear waste repository: Effects of physical, mechanical thermal and chemical factors. Environmental Earth Sciences, 81(7).

[3]

Andersen, P. Ø., & Evje, S. (2016). A model for reactive flow in fractured porous media. Chemical Engineering Science, 145, 196-213.

[4]

Autio, J . (1996). Characterization of the excavation disturbance caused by boring of the experimental full scale deposition holes in the research tunnel at Olkiluoto. Posiva.

[5]

Autio, J., Hjerpe, T., & Siitari-Kaupp, M . (2003). The effect of EDZ on the migration of radionuclides in a KBS-3 type repository. MRS Online Proceedings Library, 807(1), 13-18.

[6]

Autio, J., Timonen, J., Aaltonen, T., Laajalahti, M., Kuoppamäki, K., & Maaranen, J. (1999). Determination of the porosity, permeability and diffusivity of rock in the excavation-disturbed zone around full-scale deposition holes using the he-gas method. MRS Proceedings, 556, 759.

[7]

Bañón, S., Álvarez, S., Bañón, D., Ortuño, M. F., & Sánchez-Blanco, M. J. (2021). Assessment of soil salinity indexes using electrical conductivity sensors. Scientia Horticulturae, 285, 110171.

[8]

Bao, T., & Burghardt, J. (2022). A bayesian approach for in-situ stress prediction and uncertainty quantification for subsurface engineering. Rock Mechanics and Rock Engineering, 55(8), 4531-4548.

[9]

Bao, T., Cao, H., Qin, Y. H., Jiang, G. S., & Liu, Z. (2020). Critical insights into thermohaline stratification for geothermal energy recovery from flooded mines with mine water. Journal of Cleaner Production, 273, 122989.

[10]

Bao, T., & Liu, Z. (2019a). Geothermal energy from flooded mines: Modeling of transient energy recovery with thermohaline stratification. Energy Conversion and Management, 199, 111956.

[11]

Bao, T., & Liu, Z. (2019b). Thermohaline stratification modeling in mine water via double-diffusive convection for geothermal energy recovery from flooded mines. Applied Energy, 237, 566-580.

[12]

Bao, T., Liu, Z., Meldrum, J., Green, C., Xue, P., & Vitton, S. (2018). Field tests and multiphysics analysis of a flooded shaft for geothermal applications with mine water. Energy Conversion and Management, 169, 174-185.

[13]

Bao, T., Meldrum, J., Green, C., Vitton, S., Liu, Z., & Bird, K. (2019). Geothermal energy recovery from deep flooded copper mines for heating. Energy Conversion and Management, 183, 604-616.

[14]

Benhadji, K., & Vasseur, P. (2001). Double diffusive convection in a shallow porous cavity filled with a non-Newtonian fluid. International Communications in Heat and Mass Transfer, 28(6), 763-772.

[15]

Bérest, P. (2019). Heat transfer in salt caverns. International Journal of Rock Mechanics and Mining Sciences, 120, 82-95.

[16]

Bing, H., & Ma, W. (2011). Laboratory investigation of the freezing point of saline soil. Cold Regions Science and Technology, 67(1-2), 79-88.

[17]

Bouzgarrou, S., Akermi, M., Nasr, S., Aouaini, F., Khan, A. H., Slimi, K., Khan, N. A., & Zahmatkesh, S. (2023). CO2 storage in porous media unsteady thermosolutal natural convection-Application in deep saline aquifer reservoirs. International Journal of Greenhouse Gas Control, 125, 103890.

[18]

Bouzgarrou, S., Harzallah, H. S., & Slimi, K. (2013). Unsteady double diffusive natural convection in porous media-Application to CO2 storage in deep saline aquifer reservoirs. Energy Procedia, 36, 756-765.

[19]

Brace, W. F. (1980). Permeability of crystalline and argillaceous rocks. International Journal of Rock Mechanics and Mining Sciences, 17(5), 241-251.

[20]

Brai, M., Casaletto, M. P., Gennaro, G., Marrale, M., Schillaci, T., & Tranchina, L. (2010). Degradation of stone materials in the archaeological context of the Greek-Roman Theatre in Taormina (Sicily, Italy). Applied Physics A, 100(3), 945-951.

[21]

Bresler, E. (1973). Simultaneous transport of solutes and water under transient unsaturated flow conditions. Water Resources Research, 9(4), 975-986.

[22]

Cai, J. Y., Pang, Z. G., & Fu, J. E. (2018). Spatial feature analysis of a cosmic-ray sensor for measuring the soil water content: Comparison of four weighting methods. Physics and Chemistry of the Earth, 104, 28-38.

[23]

Capone, F., Gentile, M., & Hill, A. A. (2010). Penetrative convection via internal heating in anisotropic porous media. Mechanics Research Communications, 37(5), 441-444.

[24]

Carbonell, R., & Whitaker, S. (1984). Heat and mass transfer in porous media. Springer.

[25]

Carman, P. C. (1997). Fluid flow through granular beds. Chemical Engineering Research and Design, 75, 32-48.

[26]

Carvalho, P. H. S., & de Lemos, M. J. S. (2017). Double-diffusive laminar free convection in a porous cavity simulated with the two-energy equation model. International Communications in Heat and Mass Transfer, 82, 89-96.

[27]

Cary, J. W., & Mayland, H. F. (1972). Salt and water movement in unsaturated frozen soil. Soil Science Society of America Journal, 36(4), 549-555.

[28]

Cary, J. W., Papendick, R. I., & Campbell, G. S. (1979). Water and salt movement in unsaturated frozen soil - Principles and field observations. Soil Science Society of America Journal, 43(1), 3-8.

[29]

Chamkha, A. J. (2002). Double-diffusive convection in a porous enclosure with cooperating temperature and concentration gradients and heat generation or absorption effects. Numerical Heat Transfer, Part A: Applications, 41(1), 65-87.

[30]

Chen, C. W., Yang, H. Q., Li, X. Y., Wang, Y. Y., & Zhao, G. (2024). Numerical analysis on crystallization inside porous sandstone induced by salt phase change. Engineering Geology, 341, 107694.

[31]

Chen, F. J., Popov, Y. A., Sevostianov, I., Romushkevich, R., Giraud, A., & Grgic, D. (2017). Replacement relations for thermal conductivity of a porous rock. International Journal of Rock Mechanics and Mining Sciences, 97, 64-74.

[32]

Chen, J. X. (2021). Study on damage characteristics and mechanism of sandstone under wetting-drying in acid environment. [Master’s thesis, Xi’an University of Science and Technology] (in Chinese).

[33]

Chen, Y., Ma, G. W., Wang, H. D., & Li, T. (2018). Evaluation of geothermal development in fractured hot dry rock based on three dimensional unified pipe-network method. Applied Thermal Engineering, 136, 219-228.

[34]

Chen, Y. P., Shi, M. H., & Li, X. C. (2006). Experimental investigation on heat, moisture and salt transfer in soil. International Communications in Heat and Mass Transfer, 33(9), 1122-1129.

[35]

Cheng, Q., Tang, C. S., Lin, Z. Z., Tian, B. G., & Shi, B. (2022). Measurement of water content at bare soil surface with infrared thermal imaging technology. Journal of Hydrology, 615, 128715.

[36]

Cheng, Q. X., Lu, A. Z., & Yin, C. L. (2021). Analytical stress solutions for a deep buried circular tunnel under an unsteady temperature field. Rock Mechanics and Rock Engineering, 54(3), 1355-1368.

[37]

Chicco, J. M., Vacha, D., & Mandrone, G. (2019). Thermo-physical and geo-mechanical characterization of faulted carbonate rock masses (Valdieri, Italy). Remote Sensing, 11(2), 179.

[38]

Colombani, N., Fronzi, D., Palpacelli, S., Gaiolini, M., Gervasio, M. P., Marcellini, M., Mastrocicco, M., & Tazioli, A. (2021). Modelling shallow groundwater evaporation rates from a large tank experiment. Water Resources Management, 35(10), 3339-3354.

[39]

Cui, G. D., Hu, Z., Ning, F. L., Wang, Y. Y., & Jiao, Y. Y. (2023). Local impure CO2 injection into saline aquifers . Journal of China Coal Society, 48(7), 2791-2801.

[40]

Cui, G. D., Ren, S. R., Zhang, L., Wang, Y., & Zhang, P. F. (2018). Injection of supercritical CO2 for geothermal exploitation from single- and dual-continuum reservoirs: Heat mining performance and salt precipitation effect. Geothermics, 73, 48-59.

[41]

Cui, G. D., Zhang, L., Ren, B., Enechukwu, C., Liu, Y. M., & Ren, S. R. (2016). Geothermal exploitation from depleted high temperature gas reservoirs via recycling supercritical CO2: Heat mining rate and salt precipitation effects. Applied Energy, 183, 837-852.

[42]

Cui, Y. X., Liu, T., Yang, Z. N., Liu, X. S., Yi, X. Y., & Ling, X. Z. (2024). Effect of salt solution concentration and cation types on the mechanical properties of bentonite as a barrier material. Bulletin of Engineering Geology and the Environment, 83(11).

[43]

Dong, S. J., Berelson, W. M., Rollins, N. E., Subhas, A. V., Naviaux, J. D., Celestian, A. J., Liu, X. W., Turaga, N., Kemnitz, N. J., Byrne, R. H., & Adkins, J. F. (2019). Aragonite dissolution kinetics and calcite/aragonite ratios in sinking and suspended particles in the North Pacific. Earth and Planetary Science Letters, 515, 1-12.

[44]

Dong, Y., Peng, N. B., Hong, J., Liu, H. R., Tang, L., & Sun, B. (2024). Experimental study on salt weathering of sandstone with different weathering degrees. Journal of Asian Architecture and Building Engineering, 23(3), 1036-1049.

[45]

Emami-Meybodi, H., Hassanzadeh, H., Green, C. P., & Ennis-King, J. (2015). Convective dissolution of CO2 in saline aquifers: Progress in modeling and experiments. International Journal of Greenhouse Gas Control, 40, 238-266.

[46]

Fahs, M., Younes, A., & Mara, T. A. (2014). A new benchmark semi-analytical solution for density-driven flow in porous media. Advances in Water Resources, 70, 24-35.

[47]

Fang, C. L., & Achal, V. (2024). Enhancing carbon neutrality: A perspective on the role of Microbially Induced Carbonate Precipitation (MICP). Biogeotechnics, 2(2), 100083.

[48]

Feddes, R. A. (1972). Water, heat and crop growth. Soil Science Society of America Journal, 36(1).

[49]

Gao, P., Zhang, Y., Yu, Z., Fang, J., & Zhang, Q. (2015). Correlation study of shallow layer rock and soil thermal physical tests in laboratory and field. Geothermics, 53, 508-516.

[50]

Gautam, K., Narayana, P. A. L., & Hill, A. A. (2019). Thermo-convective carbon sequestration in horizontal porous layers. IMA Journal of Applied Mathematics, 84(3), 650-668.

[51]

Giraud, A., Grgic, D., & Sevostianov, I. (2022). Effective elastic properties and thermal conductivity of isotropic rocks containing concave pores. Application to oolitic limestones. European Journal of Environmental and Civil Engineering, 26(7), 2985-3008.

[52]

Goodarzi, S., Settari, A., & Keith, D. (2012). Geomechanical modeling for CO2 storage in Nisku aquifer in Wabamun Lake area in Canada. International Journal of Greenhouse Gas Control, 10, 113-122.

[53]

Gran, M., Carrera, J., Massana, J., Saaltink, M. W., Olivella, S., Ayora, C., & Lloret, A. (2011). Dynamics of water vapor flux and water separation processes during evaporation from a salty dry soil. Journal of Hydrology, 396(3-4), 215-220.

[54]

Guo, T. K., Tang, S. J., Liu, S., Liu, X. Q., Zhang, W., & Qu, G. Z. (2020). Numerical simulation of hydraulic fracturing of hot dry rock under thermal stress. Engineering Fracture Mechanics, 240, 107350.

[55]

Guo, X., Zou, G. F., Wang, Y. H., Wang, Y., & Gao, T. (2017). Investigation of the temperature effect on rock permeability sensitivity. Journal of Petroleum Science and Engineering, 156, 616-622.

[56]

Hadidi, N., & Bennacer, R. (2018). Heat and mass transfer by natural convection in a bi-layered cubic enclosure with opposing temperature and concentration gradients. International Journal of Thermal Sciences, 132, 534-551.

[57]

Hadidi, N., Bennacer, R., & Ould-amer, Y. (2015). Two-dimensional thermosolutal natural convective heat and mass transfer in a bi-layered and inclined porous enclosure. Energy, 93, 2582-2592.

[58]

Han, M., Zhao, C. Y., Feng, G., Yan, Y. Y., & Sheng, Y. (2015). Evaluating the effects of mulch and irrigation amount on soil water distribution and root zone water balance using HYDRUS-2D. Water, 7(6), 2622-2640.

[59]

Hao, Y., Nitao, J. J., Buscheck, T. A., & Sun, Y. W. (2008). Double-diffusive natural convection in a nuclear waste repository. Nuclear Technology, 163(1), 38-46.

[60]

Harlan, R. L. (1973). Analysis of coupled heat-fluid transport in partially frozen soil. Water Resources Research, 9(5), 1314-1323.

[61]

Hartikainen, K., Pietarila, H., Rasilainen, K., Nordman, H., Ruskeeniemi, T., Hölttä, P., Shtari-Kauppi, M., & Timonen, J. (1995). Characterization of the altered zone around a fracture in palmottu natural analogue. MRS Online Proceedings Library, 412(1), 839-846.

[62]

Heinze, T., & Hamidi, S. (2017). Heat transfer and parameterization in local thermal non-equilibrium for dual porosity continua. Applied Thermal Engineering, 114, 645-652.

[63]

Horai, K.-I., & Simmons, G. (1969). Thermal conductivity of rock-forming minerals. Earth and Planetary Science Letters, 6(5), 359-368.

[64]

Hou, R. J., Li, T. X., Fu, Q., Liu, D., Li, M., Zhou, Z. Q., Yan, J. W., & Zhang, S. (2020). Research on the distribution of soil water, heat, salt and their response mechanisms under freezing conditions. Soil and Tillage Research, 196, 104486.

[65]

Huang, X., & Rudolph, D. L. (2023). Numerical study of coupled water and vapor flow, heat transfer, and solute transport in variably-saturated deformable soil during freeze-thaw cycles. Water Resources Research, 59(10).

[66]

Huang, X., Tang, S. B., Tang, C. A., Xie, L., & Tao, Z. (2017). Numerical simulation of cracking behavior in artificially designed rock models subjected to heating from a central borehole. International Journal of Rock Mechanics and Mining Sciences, 98, 191-202.

[67]

Islam, A. W., Lashgari, H. R., & Sephernoori, K. (2014). Double diffusive natural convection of CO2 in a brine saturated geothermal reservoir: Study of non-modal growth of perturbations and heterogeneity effects. Geothermics, 51, 325-336.

[68]

Jasim, A., Hemmings, B., Mayer, K., & Scheu, B. (2018). Groundwater flow and volcanic unrest. Springer International Publishing.

[69]

Jiang, D. Y., Li, X. K., & Li, X. J. (2017). Flow field physical experiment of twin-well of small spacing vast cavity and its numerical calculation. Advanced Engineering Sciences, 49(6), 65-72.

[70]

Jiang, Z. M., Guo, J., & Tang, D. (2021). A thermodynamic model of compressed humid air within an underground rock cavern for compressed air energy storage. Energy Storage Science and Technology, 10(02), 638-646.

[71]

Kalla, L., Vasseur, P., Bennacer, R., Beji, H., & Duval, R. (2001). Double diffusive convection within a horizontal porous layer salted from the bottom and heated horizontally. International Communications in Heat and Mass Transfer, 28(1), 1-10.

[72]

Khaledi, K., Mahmoudi, E., Datcheva, M., & Schanz, T. (2016). Analysis of compressed air storage caverns in rock salt considering thermo-mechanical cyclic loading. Environmental Earth Sciences, 75(15), 1149.

[73]

Khesin, B. E., Alexeyev, V. V., & Eppelbaum, L. V. (1996). Integrated interpretation. Netherlands: Springer.

[74]

Kolawole, O., Assaad, R. H., Adams, M. P., Ngoma, M. C., Anya, A., & Assaf, G. (2023). Coupled experimental assessment and machine learning prediction of mechanical integrity of MICP and cement paste as underground plugging materials. Biogeotechnics, 1(2), 100020.

[75]

Kumar, S., Foroozesh, J., Edlmann, K., Rezk, M. G., & Lim, C. Y. (2020). A comprehensive review of value-added CO2 sequestration in subsurface saline aquifers. Journal of Natural Gas Science and Engineering, 81, 103437.

[76]

Kuva, J., Voutilainen, M., Kekalainen, P., Siitari-Kauppi, M., Timonen, J., & Koskinen, L. (2015). Gas phase measurements of porosity, diffusion coefficient, and permeability in rock samples from Olkiluoto bedrock. Finland. Transport in Porous Media, 107(1), 187-204.

[77]

Lai, Y. M., Wen, W., Pei, W. S., & Wan, X. S. (2021). A novel transport model to predict the moisture-heat-gas-salt behavior in unsaturated saline soil under evaporation. Journal of Hydrology, 603, 127052.

[78]

Lakshmi, K. M., Laroze, D., & Siddheshwar, P. G. (2022). Natural convection of a binary liquid in cylindrical porous annuli/rectangular porous enclosures with cross-diffusion effects under local thermal non-equilibrium state. International Journal of Heat and Mass Transfer, 184.

[79]

Lan, H. X., Lv, H. T., & Bao, H. (2023). Advances in degradation and instability mechanism of grotto temple rock mass. Earth Science, 48(4), 1603-1633.

[80]

Larsen, P. K. (2020). Climatic protection of historical vaults with lime-perlite mortar. Studies in Conservation, 65, 174-179.

[81]

Li, H., Tan, Y. Z., Xie, Z. Y., & Sun, D. A. (2022a). Effect of hydrothermal path on swelling pressure and hydraulic conductivity of compacted bentonite. Bulletin of Engineering Geology and the Environment, 81(11), 479.

[82]

Li, H. B., Li, S., Kang, X. R., Wu, L. B., & Ding, Y. F. (2023a). Understanding unsaturated sulfate saline soil in cold regions: A Combined evaporation and salt precipitation in homogeneous and heterogeneous porous media. Water Resources Research, 47(3), 162-177.

[83]

Li, S. T., Chen, H. E., & Chen, Z. F. (2023b). Water and salt migration characterization in NaHCO3 saline soils during unidirectional freezing conditions. Cold Regions Science and Technology, 213, 103940.

[84]

Li, W. H., Wang, Z. H., & Wang, K. F. (2020a). Effect of groundwater depth on soil water and salt content under evaporation. Journal of Shihezi University (Natural Science), 38(4), 443-448.

[85]

Li, W. J., Zhu, C., Han, J., & Yang, C. H. (2019). Thermodynamic response of gas injection-and-withdrawal process in salt cavern for underground gas storage. Applied Thermal Engineering, 163, 114380.

[86]

Li, X. Y., Xu, Y. F., & Li, C. Y. (2020b). Experimental study on the 1-D free swelling of compacted bentonite. Acta Geotechnica, 15(7), 1895-1907.

[87]

Li, Z. G., Zhang, S. B., Meng, X. H., Lyu, S.-H., Yang, X. Y., Ao, Y. H., Ma, D., Shang, L. Y., Shu, L. L., & Chang, Y. (2022b). Effect of snow cover on water and heat transfer in alpine meadows in the source region of Yellow River. Science of the Total Environment, 859, 160205.

[88]

Li, Z. W., Huang, C. Y., Wang, H. X., Xing, S. C., Long, M. C., & Liu, Y. (2023c). Determination of heat transfer representative element volume and three-dimensional thermal conductivity tensor of fractured rock masses. International Journal of Rock Mechanics and Mining Sciences, 170, 105528.

[89]

Li, Z. W., Liu, Y., Mei, S. M., Xing, S. C., & Wang, X. K. (2021). Effective thermal conductivity estimation of fractured rock masses. Rock Mechanics and Rock Engineering, 54(12), 6191-6206.

[90]

Liao, Y. Q., Wang, T. T., Li, L., Ren, Z. X., Xie, D. Z., & He, T. (2023). Thermal analysis for gas storage in salt cavern based on an improved heat transfer model. Applied Thermal Engineering, 232, 121112.

[91]

Liu, H. J., Wang, H. W., Lei, H. W., Zhang, L. W., Bai, M. X., & Zhou, L. (2020). Numerical modeling of thermal breakthrough induced by geothermal production in fractured granite. Journal of Rock Mechanics and Geotechnical Engineering, 12(4), 900-916.

[92]

Liu, J., Wang, L., Yang, L., Yue, L., Chai, L., Sheng, Y., Chen, H. S., & Tan, C. Q. (2014). Experimental study on heat storage and transfer characteristics of supercritical air in a rock bed. International Journal of Heat and Mass Transfer, 77, 883-890.

[93]

Luo, Y. N., Jiang, K. Q., Huang, S. H., Feng, B., & Bu, X. B. (2024). Safety analysis of geothermal water recharge coupled with CO2 geological storage system. Bulletin of Geological Science and Technology, 43(3), 59-67.

[94]

Ma, Y. Q., Gan, Q., Zhang, Y. J., & Huang, Y. B. (2023). Experimental research on the heat transfer characteristics of fluid flowing through rock with intersecting fractures. Geothermics, 107, 102587.

[95]

Mahmoudzadeh, B., Liu, L. C., Moreno, L., & Neretnieks, I. (2016). Solute transport through fractured rock: Radial diffusion into the rock matrix with several geological layers for an arbitrary length decay chain. Journal of Hydrology, 536, 133-146.

[96]

Makayssi, T., Lamsaadi, M., Naimi, M., Hasnaoui, M., Raji, A., & Bahlaoui, A. (2008). Natural double-diffusive convection in a shallow horizontal rectangular cavity uniformly heated and salted from the side and filled with non-Newtonian power-law fluids: The cooperating case. Energy Conversion and Management, 49(8), 2016-2025.

[97]

Mei, S. W., Gong, M. Q., & Qin, G. L. (2017). Advanced adiabatic compressed air energy storage system with salt cavern air storage and its application prospects. Power System Technology, 41(10), 3392-3399.

[98]

Meng, X. C., Zhou, J. Z., Wei, C. F., & Zhang, K. (2020). Effects of salinity on soil freezing temperature and unfrozen water content. Rock and Soil Mechanics, 41(3), 952-960.

[99]

Milly, P. C. D. (1982). Moisture and heat transport in hysteretic, inhomogeneous porous media: A matric head-based formulation and a numerical model. Water Resources Research, 18(3), 489-498.

[100]

Milly, P. C. D. (1984). A simulation analysis of thermal effects on evaporation from soil. Water Resources Research, 20(8), 1087-1098.

[101]

Mohamad, A. A., & Bennacer, R. (2001). Natural convection in a confined saturated porous medium with horizontal temperature and vertical solutal gradients. International Journal of Thermal Sciences, 40(1), 82-93.

[102]

Moreno, L., Gylling, B., & Neretnieks, I. (1997). Solute transport in fractured media - the important mechanisms for performance assessment. Journal of Contaminant Hydrology, 25(3-4), 283-298.

[103]

Nachshon, U., Weisbrod, N., Dragila, M. I., & Grader, A. (2011). Combined evaporation and salt precipitation in homogeneous and heterogeneous porous media. Water Resources Research, 47(3), 162-177.

[104]

Nassar, I. N., & Horton, R. (1989a). Water transport in unsaturated non-isothermal salty soil. 1. Experimental results. Soil Science Society of America Journal, 53(5), 1323-1329.

[105]

Nassar, I. N., & Horton, R. (1989b). Water transport in unsaturated non-isothermal salty soil. 2. Theoretical development. Soil Science Society of America Journal, 53(5), 1330-1337.

[106]

Nassar, I. N., & Horton, R. (1999). Salinity and compaction effects on soil water evaporation and water and solute distributions. Soil Science Society of America Journal, 63(4), 752-758.

[107]

Nield, D. A., & Bejan, A. (2017). Convection in porous media. Springer Cham 2.

[108]

Noborio, K., McInnes, K. J., & Heilman, J. L. (1996). Two-dimensional model for water, heat, and solute transport in furrow-irrigated soil: II. Field evaluation. Soil Science Society of America Journal, 60(4), 1010-1021.

[109]

Noon, N. J., & Haddad, S. A. (2023). Stability analysis of double diffusive convection in local thermal non-equilibrium porous medium with internal heat source and reaction effects. Journal of Non-Equilibrium Thermodynamics, 48(1), 25-39.

[110]

Norouzi, A. M., Babaei, M., Han, W. S., Kim, K.-Y., & Niasar, V. (2021). CO2-plume geothermal processes: A parametric study of salt precipitation influenced by capillary-driven backflow. Chemical Engineering Journal, 425, 130031.

[111]

Oh, J., Kim, K.-Y., Han, W. S., Kim, T., Kim, J.-C., & Park, E. (2013). Experimental and numerical study on supercritical CO2/brine transport in a fractured rock: Implications of mass transfer, capillary pressure and storage capacity. Advances in Water Resources, 62, 442-453.

[112]

Ordonez-Miranda, J., & Alvarado-Gil, J. J. (2012). Effect of the pore shape on the thermal conductivity of porous media. Journal of Materials Science, 47(18), 6733-6740.

[113]

Pang, Z., Jia, Y. H., Peng, X. H., Ju, X. N., & Gao, L. (2021). Applicability of cosmic-ray neutron sensing for measuring soil water content to heterogeneous landscapes under subtropical hydroclimatic conditions. Journal of Hydrology, 596, 126068.

[114]

Pasquale, V., Verdoya, M., & Chiozzi, P. (2015). Measurements of rock thermal conductivity with a Transient Divided Bar. Geothermics, 53, 183-189.

[115]

Peng, P., Iwai, H., Ohne, E., Itani, Y., & Zhang, F. (2022). Model tests and corresponding numerical simulations on cave model subjected to thermo-mechanical loading. Underground Space, 7(2), 162-183.

[116]

Perfect, E., & Williams, P. J. (1980). Thermally induced water migration in frozen soils. Cold Regions Science and Technology, 3(2), 101-109.

[117]

Philip, J. R., & Vries, D. A. D. (1957). Moisture movement in porous materials under temperature gradients. Eos, Transactions American Geophysical Union, 38(2), 222-232.

[118]

Preisig, M., & Prévost, J. H. (2011). Coupled multi-phase thermo-poromechanical effects. Case study: CO injection at In Salah, Algeria. International Journal of Greenhouse Gas Control, 5(4), 1055-1064.

[119]

Radko, T., Bulters, A., Flanagan, J. D., & Campin, J. M. (2014). Double-diffusive recipes. Part I: Large-scale dynamics of thermohaline staircases. Journal of Physical Oceanography, 44(5), 1269-1284.

[120]

Rasmuson, A. (1984). Migration of radionuclides in fissured rock: Analytical solutions for the case of constant source strength. Water Resources Research, 20(10), 1435-1442.

[121]

Ren, Y. W., Yuan, Q., Kang, Y. F., Wei, L. K., Li, Z. Z., Jiang, D. Y., He, H. Y., & Xu, H. (2022). Experimental determination of polycrystalline salt rock thermal conductivity, diffusivity and specific heat from 20 to 240°C. Frontiers in Earth Science, 10.

[122]

Rezaei, A., & Pirvand, M. (2022). Semi-analytical solution for reactive contaminant transport in a filled-fractured system with intervening rock matrices: Case examples of Tritium and Uranium. Journal of Hydrology, 608, 127642.

[123]

Richards, L. A. (1931). Capillary conduction of liquids through porous mediums. Journal of Applied Physics, 1(1), 318-333.

[124]

Rorig-Dalgaard, I. (2013). Development of a poultice for electrochemical desalination of porous building materials: Desalination effect and pH changes. Materials and Structures, 46(6), 959-970.

[125]

Ruiz-Agudo, E., Lubelli, B., Sawdy, A., van Hees, R., Price, C., & Rodriguez-Navarro, C. (2011). An integrated methodology for salt damage assessment and remediation: The case of San Jernimo Monastery (Granada, Spain). Environmental Earth Sciences, 63(7-8), 1475-1486.

[126]

Rutqvist, J. (2012). The geomechanics of CO2 storage in deep sedimentary formations. Geotechnical and Geological Engineering, 30(3), 525-551.

[127]

Schmitt, R. W. (2003). Observational and laboratory insights into salt finger convection. Progress in Oceanography, 56(3-4), 419-433.

[128]

Schultz, K. F., Walden, S., & Gaertner, R. (2002). Thermal influences on salt formation during solution mining in the case of a gas storage cavern in Bremen, Germany. Erdoel Erdgas Kohle, 118(2), 277-283.

[129]

Serbin, K., Ślizowski, J., Urban´czyk, K., & Nagy, S. (2015). The influence of thermodynamic effects on gas storage cavern convergence. International Journal of Rock Mechanics and Mining Sciences, 79, 166-171.

[130]

Shackelford, C. D., & Daniel, D. E. (1991). Diffusion in saturated soil.1. Background. Journal of Geotechnical Engineering, 117(3), 467-484.

[131]

Shahkarami, P., & Sidborn, M. (2022). Simulation of Helium transport in fractured rocks: Implementation of a dual continuum model in DarcyTools. Journal of Contaminant Hydrology, 253(1), 104123.

[132]

Shao, Q., Fahs, M., Hoteit, H., Carrera, J., Ackerer, P., & Younes, A. (2018). A 3-D semianalytical solution for density-driven flow in porous media. Water Resources Research, 54(12), 10094-10116.

[133]

Sicsic, P., & Bérest, P. (2014). Thermal cracking following a blowout in a gas-storage cavern. International Journal of Rock Mechanics and Mining Sciences, 71, 320-329.

[134]

Sivasankaran, S., Kandaswamy, P., & Ng, C. O. (2008). Double diffusive convection of anomalous density fluids in a porous cavity. Transport in Porous Media, 71(2), 133-145.

[135]

Song, C., & Elsworth, D. (2024). Stress sensitivity of permeability in high-permeability sandstone sealed with microbially-induced calcium carbonate precipitation. Biogeotechnics, 2(1), 100063.

[136]

Spycher, N. F., Sonnenthal, E. L., & Apps, J. A. (2003). Fluid flow and reactive transport around potential nuclear waste emplacement tunnels at Yucca Mountain, Nevada. Journal of Contaminant Hydrology, 62-63, 653-673.

[137]

Straughan, B. (2015). Exchange of stability in Cattaneo-LTNE porous convection. International Journal of Heat and Mass Transfer, 89, 792-798.

[138]

Su, W., Wang, Q., Luo, X. L., Ye, W. M., & Deng, Y. F. (2023). Laboratory investigation on the membrane behaviour of highly compacted GMZ bentonite under isothermal conditions. Acta Geotechnica, 18(9), 4821-4833.

[139]

Su, Z., Tan, X. J., Chen, W. Z., Jia, H. L., & Xu, F. (2021). A model of unfrozen water content in rock during freezing and thawing with experimental validation by nuclear magnetic resonance. Journal of Rock Mechanics and Geotechnical Engineering, 14(5), 1545-1555.

[140]

Sun, Y., Buscheck, T. A., Lee, K. H., Hao, Y., & James, S. C. (2010). Modeling thermal-hydrologic processes for a heated fractured rock system: Impact of a capillary-pressure maximum. Transport in Porous Media, 83(3), 501-523.

[141]

Sun, Z., Salazar-Tio, R., Wu, L., Bostrom, B., Fager, A., & Crouse, B. (2023). Geomechanical assessment of a large-scale CO2 storage and insights from uncertainty analysis. Geoenergy Science and Engineering, 224, 211596.

[142]

Tabrizinejadas, S., Fahs, M., Ataie-Ashtiani, B., Simmons, C. T., Roupert, R. D. C., & Younes, A. (2020). A Fourier series solution for transient three-dimensional thermohaline convection in porous enclosures. Water Resources Research, 56(11).

[143]

Tan, X., Wu, J. W., Wu, M. S., Huang, J. S., Tan, B., & Li, L. G. (2021). Effects of ice cover on soil water, heat, and solute movement: An experimental study. Geoderma, 403, 115209.

[144]

Tang, L. (2020). Measuring the content of unfrozen water in frozen soil based on resistivity. International Journal of Electrochemical Science, 15(9), 9459-9472.

[145]

Taylor, S. A., & Cary, J. W. (1964). Linear equations for the simultaneous flow of matter and energy in a continuous soil system. Soil Science Society of America Journal, 28(2), 167-172.

[146]

Thomas, C., Dehaeck, S., & De Wit, A. (2018). Convective dissolution of CO2 in water and salt solutions. International Journal of Greenhouse Gas Control, 72, 105-116.

[147]

Tiab, D., & Donaldson, E. (2016). Petrophysics: Theory and practice of measuring reservoir rock and fluid transport properties: Second Edition.

[148]

Tounsi, H., Lerche, S., Wolters, R., Hu, M. S., & Rutqvist, J. (2023). Impact of the compaction behavior of crushed salt on the thermo-hydro-mechanical response of a generic salt repository for heat-generating nuclear waste. Engineering Geology, 323, 107217.

[149]

Trivedi, J. J., & Babadagli, T. (2009). Experimental and numerical modeling of the mass transfer between rock matrix and fracture. Chemical Engineering Journal, 146(2), 194-204.

[150]

Van Lopik, J. H., Hartog, N., Zaadnoordijk, W. J., Cirkel, D. G., & Raoof, A. (2015). Salinization in a stratified aquifer induced by heat transfer from well casings. Advances in Water Resources, 86, 32-45.

[151]

Vries, D. A. D. (1958). Simultaneous transfer of heat and moisture in porous media. Eos, Transactions American Geophysical Union, 39(5), 909-916.

[152]

Wallach, R., & Parlange, J.-Y. (1998). Modeling transport in a single crack by the dual-porosity concept with a boundary layer at the interface. Journal of Contaminant Hydrology, 34(1-2), 121-138.

[153]

Wan, X. S., Liu, E. L., Qiu, E. X., Qu, M. F., Zhao, X., & Nkiegaing, F. J. (2020). Study on phase changes of ice and salt in saline soils. Cold Regions Science and Technology, 172, 102988.

[154]

Wang, C., Lai, Y. M., Yu, F., & Li, S. Y. (2018). Estimating the freezing-thawing hysteresis of chloride saline soils based on the phase transition theory. Applied Thermal Engineering, 135, 22-33.

[155]

Wang, C., Li, K. Y., Tian, J. Q., Meng, F. S., Yang, H., Ren, J. P., & Li, S. Y. (2025a). Quantification of chloride saline soil freezing-thawing temperature threshold based on thermodynamic theory. Acta Geotechnica, 20(3), 1049-1068.

[156]

Wang, L., Ren, Y. L., Deng, F. Q., Zhang, Y. Q., & Qiu, Y. (2023a). Study on calculation method of heat exchange capacity and thermal properties of buried pipes in the fractured rock mass-taking a project in carbonate rock area as an example. Energies, 16(2), 774.

[157]

Wang, T. T., Xie, D. Z., Liao, Y. Q., Xie, K., & He, T. (2025b). Study on dissolution kinetics of rock salt in the construction of underground energy storage salt cavern. Chemical Engineering Science, 309, 121508.

[158]

Wang, W. N., Wang, W. S., Wang, P., Wang, X. H., Wang, L. W., Wang, C. Z., Zhang, C. L., & Huo, Z. L. (2023b). Impact of straw return on soil temperature and water during the freeze-thaw period. Agricultural Water Management, 282, 108292.

[159]

Wang, X. R., Li, C., Shi, Y. R., Zhang, Z. G., Chi, Q. G., & Wang, P. S. (2024). Improvements in saline soil and the law of water-salt transport based on salt inhibition using MICP technology. Biogeotechnics, 2(1), 100055.

[160]

Warren, J. E., & Root, P. J. (1963). The behavior of naturally fractured reservoirs. Society of Petroleum Engineers Journal, 3(3), 245-255.

[161]

Weidman, P. D., & Kubitschek, J. P. (2013). Stability of a fluid-saturated porous medium heated from below by forced convection (vol 46, pg 3697, 2003). International Journal of Heat and Mass Transfer, 64, 79.

[162]

Winberg-Wang, H., & Neretnieks, I. (2020). Visualization of mass transfer between source and seeping water in a variable aperture fracture- Impact of tracer density. Nuclear Technology, 206, 1-13.

[163]

Wu, H. R., Shi, J. Q., Xiao, Y., He, J. L., & Chu, J. (2023). Microbial mineralization: A promising approach for stone cultural relics restoration. Biogeotechnics, 1(4), 100053.

[164]

Wu, Y., Geng, H. Z., Hao, G., & Li, D. C. (2022). Experimental study on heat exchange efficiency of rock bed heat storage system based on broken rock mass. Energy reports, 8, 12456-12465.

[165]

Wu, Y. S., Ye, M., & Sudicky, E. A. (2010). Fracture-flow-enhanced matrix diffusion in solute transport through fractured porous media. Transport in Porous Media, 81(1), 21-34.

[166]

Xiao, W. J., Zhang, D. M., Li, H. T., Yu, G., Yang, H., & Yu, B. C. (2021). Difference analysis on sandstone permeability after treatment at different temperatures during the failure process: A case study of sandstone in Chongqing. China. Pure and Applied Geophysics, 178(5), 1893-1910.

[167]

Xie, Y. Y., & Sun, Q. (2023). Investigation of the salt transport and deposition in the soil by reusing wastewater for irrigation. Water Air and Soil Pollution, 234(12), 788.

[168]

Xu, K., Huang, M., Liu, Z. J., Cui, M. J., & Li, S. (2023). Mechanical properties and disintegration behavior of EICP-reinforced sea sand subjected to drying-wetting cycles. Biogeotechnics, 1(2), 100019.

[169]

Xu, Y. H. Ieee. (2013). Numerical simulation of heat-transfer in fracture rock based on fluid-solid coupling. 4th International Conference on Digital Manufacturing and Automation (ICDMA).

[170]

Xu, Z. G., Liu, Y., Wang, Y. P., Chai, J. R., & Li, Y. L. (2020). Analysis of coupled three-dimensional seepage and temperature fields in fracture network of rock mass. International Journal of Computational Methods, 17(4), 1950005.

[171]

Yan, C. Z., Jiao, Y. Y., & Yang, S. Q. (2019). A 2D coupled hydro-thermal model for the combined finite-discrete element method. Acta Geotechnica, 14(2), 403-416.

[172]

Yan, S. J., Fang, Y., Liu, J. H., & Tan, S. E. (2013). Deterioration experiment with soluble salt on sandstone of Yungang grottoes and its model creation. Rock and Soil Mechanics, 34(12), 3410-3416.

[173]

Yan, S. J., Peng, L. Z., Nong, M. Y., & Zhou, W. Q. (2022a). Research on the salt disease and deterioration simulation of the Great Wild Goose Pagoda. Sciences of Conservation and Archaeology, 34(1), 71-78.

[174]

Yan, S. J., Xie, N., Liu, J. H., Li, L., Peng, L. Z., & Jiang, S. W. (2022b). Salt weathering of sandstone under dehydration and moisture absorption cycles: An experimental study on the sandstone from Dazu rock carvings. Earth Surface Processes and Landforms, 47(4), 977-993.

[175]

Yang, H. Q., Chen, C. W., Zhao, G., & Zhou, J. Y. (2024). Microelectrode response characteristics of capillary water migration in sandstone cultural relics. Journal of Engineering Geology, 32(1), 120-132.

[176]

Yang, Y., Han, S. K., Liu, H. L., Chen, H. L., & Jiang, S. W. (2023). Influence of particle size distribution on biocarbonation method produced microbial restoration mortar for conservation of sandstone cultural relics. Biogeotechnics, 1(4), 100051.

[177]

Yang, Z. J., Abbas, A., Wang, X. C., Ameen, M., Yang, H. H., & Soomro, S. (2020). Influence of soil particle size on the temperature field and energy consumption of injected steam soil disinfection. Processes, 8(2).

[178]

Yao, C., Shao, Y. L., Yang, J. H., Huang, F., He, C., Jiang, Q. H., & Zhou, C. B. (2020). Effects of non-darcy flow on heat-flow coupling process in complex fractured rock masses. Journal of Natural Gas Science and Engineering, 83, 103536.

[179]

Yin, S. D., Dusseault, M. B., & Rothenburg, L. (2011). Coupled THMC modeling of CO2 injection by finite element methods. Journal of Petroleum Science and Engineering, 80(1), 53-60.

[180]

Yue, J. N. (2014). Study on the law of fluid convection and diffusion during the construction of salt cavern gas storage. [Master’s thesis, Southwest Petroleum University] (in Chinese).

[181]

Zeng, Z., Ma, H. L., Yang, C. H., Liao, Y. Q., Wang, X., Cai, R., & Fang, J. Y. (2025). Effect of the dynamic humid environment in salt caverns on their performance of compressed air energy storage: A modeling study of thermo-moisture-fluid dynamics. Applied Energy, 377, 124403.

[182]

Zeng, Z., Ma, H. L., Yang, C. H., Zhao, K., Wang, X., & Zheng, Z. Y. (2024). Characterizing imbibition and void structure evolution in damaged rock salt under humidity cycling by low-field NMR. Engineering Geology, 328, 107371.

[183]

Zhang, H. Y., Jiang, X., Wang, J. F., & Li, X. X. (2016). A study on the mechanism of capillary-driven transport of soluble salt in mural plaster. Rock and Soil Mechanics, 37(1), 1-11.

[184]

Zhang, H. Y., Yang, S. Q., Sun, B., & Zhu, J. H. (2021a). Research on the relationship between salt damage types and evaporation rate of stone relics. Chinese Journal of Rock Mechanics and Engineering, 40(S2), 3284-3294.

[185]

Zhang, J., Lai, Y. M., Li, J. F., & Zhao, Y. H. (2020). Study on the influence of hydro-thermal-salt-mechanical interaction in saturated frozen sulfate saline soil based on crystallization kinetics. International Journal of Heat and Mass Transfer, 146, 118868.

[186]

Zhang, J., Lai, Y. M., Zhang, M. Y., You, Z. M., Li, S. Y., & Bai, R. Q. (2024a). Study on the coupling mechanism of water-heat-vapor-salt-mechanics in unsaturated freezing sulfate saline soil. Computers and Geotechnics, 169, 106232.

[187]

Zhang, L., Xiao, L. Z., Wu, W. S., Liao, G. Z., Zhang, Y., Luo, S. H., & Lei, X. L. (2023). A study on the temperature sensitivity of NMR porosity in porous media based on the intensity of magnetization. Magnetic Resonance Letters, 4(1), 100085.

[188]

Zhang, L. G., Hu, Z. N., Fan, S., Luo, X. L., Ding, H. J., Ma, Y. Y., Li, Q. L., & Song, Y. Y. (2024b). Optimization of pattern of well in hot dry rock fractured reservoirs through numerical simulation. Bulletin of Geological Science and Technology, 43(3), 1-11.

[189]

Zhang, N., & Wang, Z. Y. (2017). Review of soil thermal conductivity and predictive models. International Journal of Thermal Sciences, 117, 172-183.

[190]

Zhang, S. G., & Yu, Y. G. (2011). Thermal conductivity test and coupling simulation of heat-transfer in fracture rock. International Conference on Advanced Research on Advanced Structure, Materials and Engineering (ASME 2011).

[191]

Zhang, X. D., Shu, C. J., Fujii, M., Wu, Y. J., Sun, D. A., Ye, P., & Bao, Y. D. (2023a). Numerical and experimental study on water-heat-salt transport patterns in shallow bare soil with varying salt contents under evaporative conditions: A comparative investigation. Journal of Hydrology, 621, 129564.

[192]

Zhang, X. D., Shu, C. J., Wu, Y. J., Ye, P., & Du, D. W. (2023b). Advances of coupled water-heat-salt theory and test techniques for soils in cold and arid regions: A review. Geoderma, 432.

[193]

Zhang, X. D., Ye, P., Wu, Y. J., & Zhai, E. C. (2022). Experimental study on simultaneous heat-water-salt migration of bare soil subjected to evaporation. Journal of Hydrology, 609, 127710.

[194]

Zhang, X. D., Zhai, E. C., Wu, Y. J., Sun, D. A., & Lu, Y. T. (2021b). Theoretical and numerical analyses on hydro-thermal-salt-mechanical interaction of unsaturated salinized soil subjected to typical unidirectional freezing process. International Journal of Geomechanics, 21(7).

[195]

Zhang, Y., Tian, R. Z., & Wang, T. L. (2023c). Study on salt expansion mechanism of subgrade-culvert transition section in saline soils and cold regions. Cold Regions Science and Technology, 205, 103701.

[196]

Zhao, T. H., He, Y., & Deng, J. Q. (2024). Effect of geothermal heat transfer on performance of the adiabatic compressed air energy storage systems with the salt cavern gas storage. Applied Thermal Engineering, 249, 123386.

[197]

Zhao, X., Fan, D., Zhao, Z., Chen, L., & Wang, J. (2025). Radial flow behaviors of a rough Beishan granite fracture under normal and thermal loadings. Underground Space, 20, 83-99.

[198]

Zheng, Y. L., & Zhao, Y. J. (2010). General situation of salt cavern gas storage worldwide. Oil & Gas Storage and Transportation, 29(9), 652-655+663+611.

[199]

Zhou, F. X., Zhao, W. C., Mu, Z. L., Yang, Y. H., & Wan, X. S. (2024). Study on water-salt phase transition of saline soils during freezing. Cold Regions Science and Technology, 226, 104278.

[200]

Zhou, J. Y. (2022). Study on capillary migration law of solublesalt in sandstone cultural relics and itsinduced surface deterioration mechanism. [Master’s thesis, Chongqing University] (in Chinese).

[201]

Zhu, Q. Y., Zhuang, Y. J., & Yu, H. Z. (2017). Three-dimensional numerical investigation on thermosolutal convection of power-law fluids in anisotropic porous media. International Journal of Heat and Mass Transfer, 104, 897-917.

PDF (15334KB)

18

Accesses

0

Citation

Detail

Sections
Recommended

/