Abstract
The permafrost table is an important index for the design and construction of roads in cold regions, so it is necessary to find a convenient, accurate and fast judgment method to determine the permafrost table. In this study, a three-field coupled model was established based on the hydrothermal salt coupling within the permafrost and the similarity theory, and the changes of the permafrost table under different temperature, moisture and salt conditions were numerically simulated by considering the transient temperature change and the influence of the permafrost layer on the seasonally thawed layer. In addition, an accelerated permafrost table test method was designed based on the time-domain variation and hydrothermal salt coupling by the similarity theory, which rapidly simulated the permafrost table change under different temperatures, moisture, and salts in the natural environment. Comparing the simulation and test results with the measured values in the field, the errors are less than 3%, which verified the feasibility of the method for determining the permafrost table, and the simulated results are better than the test results. Results show that the results of determining the permafrost table with a single index have different degrees of deviation, and the permafrost table obtained by the temperature index is the most accurate in general, and it is more accurate to use the average value of the three indexes as the permafrost table compared with a single index.
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References
Bing H, He P, Zhang Y (2015) Cyclic freeze-thaw as a mechanism for water and salt migration in soil. Environ Earth Sci 74(1): 675–681. https://doi.org/10.1007/s12665-015-4072-9
Cao YB, Sheng Y, Wu J, et al. (2014) Influence of upper boundary conditions on simulated ground temperature field in permafrost regions. J Glaciol Geocryol 36(4): 802–810. (In Chinese) http://www.bcdt.ac.cn/CN/10.7522/j.issn.1000-0240.2014.0096
Dobinski W (2020) Permafrost active layer. Earth-Sci Rev 208. https://doi.org/10.1016/j.earscirev.2020.103301
Daout S, Doin M, Peltzer G, et al. (2017) Large-scale InSAR monitoring of permafrost freeze-thaw cycles on the Tibetan Plateau. Geophys Res Lett 44(2): 901–909. https://doi.org/10.1002/2016GL070781
Dong WC, Cui S, Fu Q, et al. (2018) Modelling soil solute release and transport in run-off on a loessial slope with and without surface stones. Hydrol Process 32(10): 1391–1400. https://doi.org/10.1002/hyp.11497
Genuchten MTV (1980) A closed-from equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 44(5): 892–898. https://doi.org/10.2136/sssaj1980.03615995004400050002x
Harlan RL (1973) Analysis of coupled heat-fluid transport in partially frozen soil. Water Resour Res 9(5): 1314–1323. https://doi.org/10.1029/WR009i005p01314
Jia YY, Kim JW, Shum C, et al. (2017) Characterization of active layer thickening rate over the notthem Qinghai-Tibetan Plateau permafrost region using ALDS interferometric synthetic aperture radar data. Remote Sen 9(1). https://doi.org/10.1002/2016GL070781
Jin DW, Niu FJ, Cheng ZX (2004) Simulation analysis for model experiment of frozen soil slope. J Earth Sci Environ (1): 29–32. (In Chinese) https://www.docin.com/p-851244384.html
Jia BX, Yang CF, Wang H, et al. (2020) Experimental study on frost heaving characteristics of silty soil under closed and non-hydrating conditions. J Liaoning Tech Univ Nat Sci Ed 39(3): 219–225. https://doi.org/10.11956/j.issn.1008-0562.2020.03.005
Ji Y, Zhou GQ, Zhao XD, et al. (2017) On the frost heaving-induced pressure response and its dropping power-law behaviors of freezing soils under various restraints. Cold Reg Sci Technol 142: 25–33. https://doi.org/10.1016/j.coldregions.2017.07.005
Kong XB, Guy D, Fabrice C (2018) Thermal modeling of heat balance through embankments in permafrost regions. Cold Reg Sci Technol 158: 117–127. https://doi.org/10.1016/j.coldregions.2018.11.013
Ke XM, Ou AF, Wang W et al. (2014) Interaction of thermokarst lake and permafrost in Qinghai-Tibet Plateau. Adv Water Resour 33(4): 542–552. (In Chinese) https://doi.org/10.14042/j.cnki.32.1309.2022.04.003
Liu WB, Yu WB, Hu D, et al. (2019) Crack damage investigation of paved highway embankment in the Tibetan Plateau permafrost environments. Cold Reg Sci Technol 163: 78–86. https://doi.org/10.1016/j.coldregions.2019.05.003
Lu N, Likos WJ (2004) Unsaturated soil mechanic, USA. John Wiley & Sons. https://www.wiley.com/en-us/Unsaturated+Soil+Mechanics-p-9780471447313
Ming F, Li DQ (2016) A model of migration potential for moisture migration during soil freezing. Cold Reg Sci Technol 124: 87–94. https://doi.org/10.1016/j.coldregions.2015.12.015
Obu J (2021) How much of the earth’s surface is underlain by permafrost? J Geophys Res: Earth Surf 126(5). https://doi.org/10.1029/2021JF006123
Peng H, Ma W, Mu YH, et al. (2015) Impact of permafrost degradation on embankment deformation of Qinghai-Tibet highway in permafrost regions. J Cent South Univ (Engl Ed) 22(3):1079–1086. https://doi.org/10.1007/s11771-015-2619-2
Qi S, Li G, Chen D, et al. (2023) Research on the characteristics of thermosyphon embankment damage and permafrost distribution based on ground-penetrating radar: A case study of the Qinghai-Tibet highway. Remote Sens 15(10). https://doi.org/10.3390/rs15102651
Ryan C, Élise D, Masaki H, et al. (2018) The influence of shallow taliks on permafrost thaw and active layer dynamics in subarctic Canada. J Geophys Res: Earth Surf 123(2): 281–297. https://doi.org/10.1002/2017JF004469
Romanovsky VE, Drozdov DS, Oberman NG, et al. (2010) Thermal state of permafrost in Russia. Permafrost Periclac 21(2): 136–155. https://doi.org/10.1002/ppp.683
Rasmussen LH, Zhang WX, Hollesen J, et al. (2018) Modelling present and future permafrost thermal regimes in Northeast Greenland. Cold Reg Sci Technol 146: 199–213. https://doi.org/10.1016/j.coldregions.2017.10.011
Ren CJ, Bai D, He F, et al. (2017) Study of hydrodynamic dispersion coefficient in unsaturated soil. J Xi’an Technol Univ 33: 419–424. (In Chinese) https://doi.org/10.19322/j.cnki.issn.1006-4710.2017.04.008
Shiklomanov NI, Streletskiy DA, Little JD, et al. (2013) Isotropic thaw subsidence in undisturbed permafrost landscapes. Geophys Res Lett 40(24): 6356–6361. https://doi.org/10.1002/2013GL058295
Shafique U, Anwar J, Munawar MA (2016) Chemisty of ice: Migration of ions and gasws by directional freezing of water. Arab J Chem 9: 47–53. https://doi.org/10.1016/j.arabjc.2011.02.019
Sun QS, Chang JF (2014) Thaw settlement prediction of permafrost subgrade based on support vector machine. Highway Engineer 39(05):136–140+148. (In Chinese) https://kns.cnki.net/kcms2/article/abstract?v=3uoqIhG8C44YLTlOAiTRKgchrJ08w1e7M8Tu7YZds8-O_OZTp_C13OAWEkeTN3lSdxFj9ED7cucXYGTf5iRS1Vi8Z2gQjz4q&uniplatform=NZKPT
Sun W (2022) Permafrost simulation in the Qilian Mountains over the upper reaches of Heihe River Basin. PHD thesis, Lanzhou University, Lanzhou, Gansu Province. (In Chinese) https://doi.org/10.27204/d.cnki.glzhu.2022.003656
Vereecken H, Weynants M, Javaux M, et al. (2010) Using pedotransfer functions to estimate the van genuchtenmualem soil hydraulic properties: a review. Vadose Zone J 9(4): 795–820. https://doi.org/10.2136/vzj2010.0045
Wan HL, Bian JM, Zhang H, et al. (2021) Assessment of future climate change impacts on water-heat-salt migration in unsaturated frozen soil using coupmodel. Front Environ Sci Eng 15(1). https://doi.org/10.1007/s11783-020-1302-5
Xu C, Liao XY, Ye GB, et al. (2005) Research on effective cement-soil mixing pile length by load tests. Hydrogeol Eng Geol (03):103−104+107. (In Chinese) https://doi.org/10.16030/j.cnki.issn.1000-3665.202007042
Xu J, Lan W, Li YF, et al. (2020) Heat, water and solute transfer in saline loess under uniaxial freezing condition. Comput Geotech 118:103319. https://doi.org/10.1016/j.compgeo.2019.103319
Xu XZ, Wang JC, Zhang LX, et al. (2001) Permafrost Physics, Beijing, China. Science Press. pp 39–97. (In Chinese) https://book.sciencereading.cn/shop/book/Booksimple/show.do?id=BB94387E3BD4A435BB86FEEA35B69F5F6000
Yang YZ, Wu QB, Jang GL, et al. (2018) Ground ice at depths in the Tianshuihai Lake basin on the western Qinghai -Tibet Plateau: An indication of permafrost evolution Sci Total Environ 729:138966. https://doi.org/10.1016/j.scitotenv.2020.138966
Zhao DS, Wu SH (2019) Projected changes in permafrost active layer thickness over the Qinghai-Tibet Plateau under climate change. Water Resour Res 55(9): 7860–7875. https://doi.org/10.1029/2019WR024969
Zhang J, Lai YM, Li JF, et al. (2020) Study on the influence of hydro-thermal-salt-mechanical interaction in saturated frozen sulfate saline soil based on crystallization kinetics. Int J Heat Mass Transfer 146:118868. https://doi.org/10.1016/j.ijheatmasstransfer.2019.118868
Zhang Z, Li X, Zhang Y (2022) Variation of permafrost upper limit in permafrost subgrade covered by snow on steep slope of Alpine Mountains. Shock Vib 1–11. https://doi.org/10.1155/2022/8706397
Zhu ZY, Tang CX, Ma Y, et al. (2022) Train-induced vibration and subsidence prediction of the permafrost subgrade along the Qinghai-Tibet railway. Soil Dyn Earthq Eng 162. https://doi.org/10.1016/j.soildyn.2022.107433
Zhou JQ (1999) Heat transfer, Beijing, China. Metallurgy Industry Press. pp 150–152. (In Chinese)
Jia BX, Yang CF, Wang H, et al. (2020) Experimental study on frost heaving characteristics of silty soil under closed and non-hydrating conditions. J Liaoning Tech Univ Nat Sci Ed 39(3): 219–225. https://doi.org/10.11956/j.issn.1008-0562.2020.03.005
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant Nos. 52078177 and 51408005), Anhui Jianzhu University scientific research project (HYB20210134) and Anhui Provincial Natural Science Foundation (2308085ME187).
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All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by YANG Zhong and LU Chang-long. The first draft of the manuscript was written by WANG Fang, LIU Kai and YANG Zhong, and all authors commented on previous version of the manuscript. All authors read and approved the final manuscript.
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Wang, F., Yang, Z., Liu, K. et al. Determination method of permafrost table in seasonal frozen soil areas under “Water-Heat-Salt” coupling. J. Mt. Sci. 20, 3266–3282 (2023). https://doi.org/10.1007/s11629-023-8123-5
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DOI: https://doi.org/10.1007/s11629-023-8123-5