Numerical simulation of thawing process in frozen soil
ЯНЬ Чж.Факультет инженерных методов охраны природных ресурсов и обеспечения безопасности Центрального Южного университета, г. Чанша, Китай
ПАНЬ В.Факультет инженерных методов охраны природных ресурсов и обеспечения безопасности Центрального Южного университета, г. Чанша, Китай
ФАН Цз.Факультет инженерных методов охраны природных ресурсов и обеспечения безопасности Центрального Южного университета, г. Чанша, Китай
ЛЮ Цз.Факультет инженерных методов охраны природных ресурсов и обеспечения безопасности Центрального Южного университета, г. Чанша, КитайAbstract: We present a slightly abridged and adapted translation of the paper “Numerical simulation of thawing process in frozen soil” by Chinese researchers (Yan et al., 2020). It was published in the peer-reviewed journal “Geofluids” by the Hindawi publishing company. It is an open access article under the CC BY license that allows it to be distributed, translated, adapted, and supplemented, provided that the types of changes are noted and the original source is referred to. In our case, the full reference to the original paper (Yan et al., 2020) used for the presented translation is given in the end. Permafrost has been thawing faster due to climate change, which would release greenhouse gases, change the hydrological regimes, affect buildings above, and so on. It is necessary to study the thawing process of frozen soil. A water-heat coupling model for frozen soil thawing is established on Darcy’s law and Heat Transfer in Porous Media interfaces in Comsol Multiphysics 5.5. Three curves of total liquid water volume, minimum temperature, and total heat flux in the thawing process are obtained from the numerical simulation. The distributions of liquid water, temperature, and pressure based on time are simulated too. The liquid water distribution is consistent with the total liquid water volume curve. The temperature distribution is confirmed by the minimum temperature and total heat flux curve. The pressure distribution represents ice in the frozen soil that generates negative pressure during the melting process. The numerical simulation research in this article deepens the understanding of the internal evolution in the process of frozen soil thawing and has a certain reference value for subsequent experimental research and related applications.
Keywords: permafrost; frozen soil thawing; numerical simulation; heat flux; ice; liquid water, temperature; pressure.
DOI: 10.58339/2949-0677-2024-6-9-6-13
UDC: 551.345.2; 004.94
For citation: Yan Zh., Pan W., Fang J., Liu Z. Chislennoye modelirovaniye protsessa tayaniya merzlogo grunta [Numerical simulation of thawing process in frozen soil]// Geoinfo. 2024. T. 6. № 9. S. 6–13. DOI:10.58339/2949-0677-2024-6-9-6-13 (in Rus.).
Funding: This work was supported by the National Key Research and Development Program of China (Grant No. 2018YFC0808404).
References:
- Xia K., Luo Y., Li W.P. Simulation of freezing and melting of soil on the northeast Tibetan Plateau // Chinese Science Bulletin. 2011. Vol. 56. N. 20. P. 2145-2155.
- Rouse W.R., Douglas M.S.V., Hecky R.E., et al. Effects of climate change on the freshwaters of arctic and subarctic north America // Hydrological Processes. 1997. Vol. 11. N. 8. P. 873-902.
- Serreze M.C., Walsh J.E., Chapin F.S., et al. Observational evidence of recent change in the northern high-latitude environment // Climatic Change. 2000. Vol. 46. N. 1/2. P. 159-207.
- Jorgenson M.T., Racine C.H., Walters J.C., Osterkamp T.E. Permafrost degradation and ecological changes associated with a warming climate in Central Alaska [J] // Climatic Change. 2001. Vol. 48. N. 4. P. 551-579.
- Hinzman L.D., Bettez N.D., Bolton W.R., et al. Evidence and implications of recent climate change in northern Alaska and other Arctic regions // Climatic Change. 2005. Vol. 72. N. 3. P. 251-298.
- Schindler D.W., Smol J.P. Cumulative effects of climate warming and other human activities on freshwaters of arctic and subarctic north America // Ambio. 2006. Vol. 35. N. 4. P. 160-168.
- Zhongqiong Z., Qingbai W., Guanli J., Siru G., Ji C., Yongzhi L. Changes in the permafrost temperatures from 2003 to 2015 in the Qinghai-Tibet Plateau // Cold Regions Science and Technology. 2020. Vol. 169. Article 102904.
- Anisimov A.O. Potential feedback of thawing permafrost to the global climate system through methane emission // Environmental Research Letters. 2017. Vol. 2. N. 4. |Article 045016.
- Masyagina O.V., Menyailo O.V. The impact of permafrost on carbon dioxide and methane fluxes in Siberia: a meta-analysis // Environmental Research. 2020. Vol. 182. Article 109096.
- IPCC. Climate change 2001 - the scientific basis // KSCC Journal of Civil Engineering. 2001. Vol. 19. N. 2. P. 359-365.
- IPCC, Stocker T., Qin D., et al. The physical science basis. Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change // Climate Change. 2013. Vol. 2013.
- Connon R.F., Quinton W.L., Craig J.R., Hayashi M. Changing hydrologic connectivity due to permafrost thaw in the lower Liard River valley, NWT, Canada // Hydrological Processes. 2014. Vol. 28. N. 14. P. 4163-4178.
- Kurylyk B.L., Macquarrie K.T.B., Mckenzie J.M. Climate change impacts on groundwater and soil temperatures in cold and temperate regions: implications, mathematical theory, and emerging simulation tools // Earth-Science Reviews. 2014. Vol. 138. P. 313-334.
- Frampton A., Destouni G. Impact of degrading permafrost on subsurface solute transport pathways and travel times // Water Resources Research. 2015. Vol. 51. N. 9. P. 7680-7701.
- Yang B., Qin Z., Zhou Q., Li H., Li L., Yang X. Pavement damage behavior of urban roads in seasonally frozen saline ground regions // Cold Regions Science and Technology. 2020. Vol. 174. Article 103035.
- Yang Z., Dutta U., Xiong F., Biswas N., Benz H. Seasonal frost effects on the dynamic behavior of a twenty-story office building // Cold Regions Science and Technology. 2008. Vol. 51. N. 1. P. 76-84.
- Lawrence D.M., Slater A.G., Swenson S.C. Simulation of present-day and future permafrost and seasonally frozen ground conditions in CCSM4 // Journal of Climate. 2012. Vol. 25. N. 7. P. 2207-2225.
- Wang D.Y., Ma W., Chang X.X., Sun Z.Z., Feng W.J., Zhang J.W. Physico-mechanical properties changes of Qinghai-Tibet clay due to cyclic freezing and thawing // Chinese Journal of Rock Mechanics and Engineering. 2005. Vol. 23. P. 4313-4319.
- Zhang M., Zhang X., Lai Y., Lu J., Wang C. Variations of the temperatures and volumetric unfrozen water contents of fine-grained soils during a freezing-thawing process //Acta Geotechnica. 2020. Vol. 15. N. 3. P. 595-601.
- Wang Y., Zhang H., Lin H., Zhao Y., Li X., Liu Y. Mechanical behavior and failure analysis of fracture-filled grease granite // Theoretical and Applied Fracture Mechanics. 2020. Vol. 108. Article 102674.
- Wang Y., Lin H., Zhao Y., Li X., Guo P., Liu Y. Analysis of fracturing characteristics of unconfined rock plate under edge-on impact loading // European Journal of Environmental & Civil Engineering. 2019. P. 1-16.
- Wang Y., Zhang H., Lin H., Zhao Y., Liu Y. Fracture behavior of central-flawed rock plate under uniaxial compression // Theoretical and Applied Fracture Mechanics. 2020. Vol. 106. Article 102503.
- Darrow M.M., Guo R., Trainor T.P. Zeta potential of cation-treated soils and its implication on unfrozen water mobility // Cold Regions Science and Technology. 2020. Vol. 173. Article 103029.
- Cao R.-H., Wang C., Yao R., et al. Effects of cyclic freeze-thaw treatments on the fracture characteristics of sandstone under different fracture modes: laboratory testing // Theoretical and Applied Fracture Mechanics. 2020. Vol. 109. Article 102738.
- Zhou Z., Ma W., Zhang S., Mu Y., Li G. Effect of freeze-thaw cycles in mechanical behaviors of frozen loess // Cold Regions Science and Technology. 2018. Vol. 146. P. 9-18.
- Han Y., Wang Q., Wang N., et al. Effect of freeze-thaw cycles on shear strength of saline soil // Cold Regions Science and Technology. 2018. Vol. 154. P. 42-53.
- Zhao Y., Lai Y., Zhang J., Liao M. A dynamic strength criterion for frozen sulfate saline silt clay under cyclic loading // Cold Regions Science and Technology. 2020. Vol. 173. Article 103026.
- Zhao Y., Zhang L., Wang W., Tang J., Lin H., Wan W. Transient pulse test and morphological analysis of single rock fractures // International Journal of Rock Mechanics and Mining Sciences. 2017. Vol. 91. P. 139-154.
- Zhao Y., Zhang L., Wang W., Liu Q., Tang L., Cheng G. Experimental study on shear behavior and a revised shear strength model for infilled rock joints // International Journal of Geomechanics. 2020. Vol. 20. N. 9. Article 04020141.
- Wang C., Zhao Yu., Zhao Ya., Wan W. Study on the interaction of collinear cracks and wing cracks and cracking behavior of rock under uniaxial compression // Advances in Civil Engineering. 2018. N. 5. P. 1-10.
- De Guzman E.M.B., Stafford D., Alfaro M.C., Dore G., Arenson L.U. Large-scale direct shear testing of compacted frozen soil under freezing and thawing conditions // Cold Regions Science and Technology. 2018. Vol. 151. P. 138-147.
- He P. Mu Y., Yang Z., Ma W., Dong J., Huang Y. Freeze-thaw cycling impact on the shear behavior of frozen soil-concrete interface // Cold Regions Science and Technology. 2020. Vol. 173. N. 1. Article 103024.
- Liu J., Lv P., Cui Y., Liu J. Experimental study on direct shear behavior of frozen soil-concrete interface // Cold Regions Science and Technology. 2014. Vol. 104-105. P. 1-6.
- Lin H., Yang H., Wang Y., Zhao Y., Cao R. Determination of the stress field and crack initiation angle of an open flaw tip under uniaxial compression // Theoretical and Applied Fracture Mechanics. 2019. Vol. 104. Article 102358.
- Xie S., Lin H., Wang Y., et al. A statistical damage constitutive model considering whole joint shear deformation // International Journal of Damage Mechanics. 2020. Vol. 29. N. 6. P. 988-1008.
- Lin H., Zhang X., Wang Y., et al. Improved nonlinear Nishihara shear creep model with variable parameters for rock-like Materials // Advances in Civil Engineering. 2020. Vol. 3. P. 1-15.
- Li G., Li N., Bai Y., Liu N., He M., Yang M. A novel simple practical thermal-hydraulic-mechanical (THM) coupling model with water-ice phase change // Computers and Geotechnics. 2020. Vol. 118. Article 103357.
- Zhao Y.L., Wang W.J., Zhao Y.S., Gao W.H. 3D dual medium model of thermal-hydro-mechanical coupling and its application // Journal of China University of Mining & Technology. 2010. Vol. 39. N. 5. P. 709-715.
- Zhao Y., Wang Y., Wang W., Tang L., Liu Q., Cheng G. Modeling of rheological fracture behavior of rock cracks subjected to hydraulic pressure and far field stresses // Theoretical and Applied Fracture Mechanics. 2019. Vol. 101. P. 59-66.
- Zhao Y., Wang Y., Wang W., Wan W., Tang J. Modeling of non-linear rheological behavior of hard rock using triaxial rheological experiment // International Journal of Rock Mechanics and Mining Sciences. 2017. Vol. 93. P. 66-75.
- Zhao Y., Zhang L., Wang W., Wan W., Ma W. Separation of elastoviscoplastic strains of rock and a nonlinear creep model // International Journal of Geomechanics. 2018. Vol. 18. N. 1. P. 18.
- Grenier C., Anbergen H., Bense V., et al. Groundwater flow and heat transport for systems undergoing freeze-thaw: intercomparison of numerical simulators for 2D test cases // Advances in Water Resources. 2018. Vol. 114. P. 196-218.
- He M., Li N., Liu N.F. Analysis and validation of coupled heat-moisture-deformation model for saturated frozen soils // Chinese Journal of Geotechnical Engineering. 2012. Vol. 34. N. 10. P. 1858-1865.
- Tan X., Chen W., Tian H., Cao J. Water flow and heat transport including ice/water phase change in porous media: numerical simulation and application // Cold Regions Science and Technology. 2011. Vol. 68. N. 1-2. P. 74-84.
- Amiri E.A., Craig J.R., Kurylyk B.L. A theoretical extension of the soil freezing curve paradigm // Advances in Water Resources. 2018. Vol. 111. P. 319-328.
- Kurylyk B.L., Watanabe K. The mathematical representation of freezing and thawing processes in variably-saturated, nondeformable soils // Advances in Water Resources. 2013. Vol. 60. P. 160-177.
Article in RSCI: https://www.elibrary.ru/item.asp?id=75997312

