非饱和土中热湿盐多场耦合过程分析

周凤玺; 高国耀

doi:10.11779/CJGE201905003

非饱和土中热湿盐多场耦合过程分析 English Version

周凤玺^1,2,
高国耀¹

1. 兰州理工大学土木工程学院,甘肃兰州 730050;
2. 西部土木工程防灾减灾教育部工程研究中心,甘肃兰州 730050

基金项目: 国家自然科学基金项目（51368038）; 甘肃省陇原青年创新创业人才计划（059003）

详细信息

作者简介:
周凤玺(1979— ),男,甘肃会宁人,教授,博士,主要从事岩土力学、复合材料结构力学等方面的研究与教学工作。E-mail: geolut@163.cn。

中图分类号: TU43
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出版历程
- 收稿日期: 2018-06-14
- 发布日期: 2019-05-24

Multi-field coupling process of heat-moisture-salt in unsaturated soil

ZHOU Feng-xi^1,2,
GAO Guo-yao¹

1. School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China;
2. Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou 730050, China

摘要

摘要: 以多孔介质理论为基础研究了非稳态条件下非饱和土中温度-水分-盐分多场耦合问题。考虑到非饱和土中孔隙被液态水、溶解的盐分、水蒸气和干燥气体等填充,在质量和能量守恒的基础上获得了非饱和土中水分、气体、盐分的质量守恒方程以及能量守恒方程。考虑一维非稳态问题,选取温度、孔隙气压、孔隙水压和含盐量以及其梯度作为状态变量,得到问题的状态方程组。利用Laplace变换将时域上的状态方程转换到频域上,在给定的边界条件下,采用打靶法求解该强耦合的非线性变系数微分方程组。基于Hausdorff矩问题的稳定化算法将频域上的数值解转化到时域上,通过与已有的试验结果相比较,验证了模型的有效性。基于数值算例与参数,分析了压力梯度、温度梯度、孔隙率等条件对非饱和中温度场、水分场和盐分场分布的影响规律。
- 非饱和土 /
- 热湿盐耦合 /
- 非稳态条件 /
- 打靶法 /
- Laplace变换 /
- Hausdorff矩问题
Abstract: On the basis of porous media theory, the multi-field coupling problem of temperature-moisture-salt in unsaturated soils under non-steady state conditions is studied. Considering that the pores are filled with liquid water, dissolved salts, water vapor and dry gas, the mass conservation equations for water, gas and salt in unsaturated soils and the relevant energy conservation equations are obtained on the basis of mass and energy conservation. For the one-dimensional unsteady state problem, the state equations for the problem are obtained by selecting temperature, pore pressure, pore water pressure, salt solution concentration and their derivatives as the state variables. The Laplace transform is used to transform the state equations in the time domain to those in the frequency one. Under the given boundary conditions, the shooting method is used to solve the strongly coupled nonlinear variable coefficient differential equations. The stability algorithm based on the Hausdorff moment problem transforms the numerical solutions in the frequency domain to those in the time one, and the validity of the model is verified by comparing with the existing experimental results. On the basis of numerical examples and parameters, the influences of pressure gradient, temperature gradient and porosity on the distribution of temperature field, water field and salt field in unsaturated soils are discussed.
- unsaturated soil /
- heat-moisture-salt coupling /
- unsteady state condition /
- shooting method /
- Laplace transform /
- Hausdorff moment problem

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参考文献(25)

[1]	DE Vries DA.The theory of heat and moisture transfer in porous media revisited[J]. International Journal of Heat & Mass Transfer, 1987, 30(7): 1343-1350.
[2]	WANG T H, SU L J.Experimental study on moisture migration in unsaturated loess under effect of temperature[J]. Journal of Cold Regions Engineering, 2010, 24(3): 77-86.
[3]	蔡国庆, 赵成刚, 田辉. 高放废物地质处置库中非饱和缓冲层的热-水-力耦合数值模拟[J]. 岩土工程学报, 2013, 35(增刊1): 1-8. (CAI Guo-qing, ZHAO Cheng-gang, TIAN Hui.Numerical simulation of coupled thermo- hydro-mechanical behavior for engineered barriers in high-level radioactive waste disposal[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(S1): 1-8. (in Chinese))
[4]	滕继东, 贺佐跃, 张升, 等. 非饱和土水气迁移与相变:两类“锅盖效应“的发生机理及数值再现[J]. 岩土工程学报, 2016, 38(10): 1813-1821. (TENG Ji-dong, HE Zuo-yue, ZHANG Sheng, et al.Moisture transfer and phase change in unsaturated soils: physical mechanism and numerical model for two types of “canopy effect“[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(10): 1813-1821. (in Chinese))
[5]	BITTELLI M, VENTURA F, CAMPBELL G S, et al.Coupling of heat, water vapor, and liquid water fluxes to compute evaporation in bare soils[J]. Journal of Hydrology, 2008, 362(3): 191-205.
[6]	YANG D Q, SHEN Z J, RAHARDJO H, et al.Modelling fully coupled moisture, air and heat transfer in unsaturated soils[J]. Chinese Journal of Geotechnical Engineering, 2000, 22: 357-361.
[7]	ZENG Y, SU Z, WAN L, et al.Numerical analysis of air-water-heat flow in unsaturated soil: Is it necessary to consider airflow in land surface models[J]. Journal of Geophysical Research Atmospheres, 2011, 116: 1-18.
[8]	ABED A A, SOLOWSKI W T.A study on how to couple thermo-hydro-mechanical behaviour of unsaturated soils: Physical equations, numerical implementation and examples[J]. Computers & Geotechnics, 2017, 92: 132-155.
[9]	CHEN Y, ZHOU C, JING L.Modeling coupled THM processes of geological porous media with multiphase flow: Theory and validation against laboratory and field scale experiments[J]. Computers & Geotechnics, 2009, 36(8): 1308-1329.
[10]	CLEALL P J, SINGH R M, THOMAS H R.Vapour transfer in unsaturated compacted bentonite[J]. Géotechnique, 2013, 63(11): 957-964.
[11]	ADALA M, BENNACER R, SAMMOUDA H, et al.Heat and mass transport in the unsaturated porous media: application to the soil dry drainage method[J]. Defect and Diffusion Forum, 2009: 589-593.
[12]	KONIORCZYK M, GAWIN D.Numerical modelling of coupled heat, moisture and salt transport in porous materials[J]. Computer Assisted Mechanics & Engineering Sciences, 2006, 13(4): 565-574.
[13]	KONIORCZYK M, GAWIN D.Heat and moisture transport in porous building materials containing salt[J]. Journal of Building Physics, 2008, 31(31): 279-300.
[14]	刘炳成, 李庆领. 土壤中水、热、盐耦合运移的数值模拟[J]. 华中科技大学学报(自然科学版), 2006, 34(1): 14-16. (LIU Bing-cheng, LI Qing-ling.Numerical simulation of salt, moisture and heat transport in porous soil[J]. Journal of Huazhong University of Science and Technology(Natural Science Edition), 2006, 34(1): 14-16. (in Chinese))
[15]	ZHOU Feng-xi, LI Shi-rong, LAI Yuan-ming.Three- dimensional analysis for transient coupled thermoelastic response of a functionally graded rectangular plate[J]. Journal of Sound and Vibration, 2011, 330(16): 3990-4001.
[16]	王泽文, 刘龙章, 徐定华. 数值Laplace逆变换的矩方法[J]. 科技通报, 2005, 21(5): 510-513. (WANG Ze-wen, LIU Long-zhang, XU Ding-hua.Numerical inversion of laplace transforms using moment method[J]. Bulletin of Science and Technology, 2005, 21(5): 510-513. (in Chinese))
[17]	RUTQVIST J, BÖRGESSON L, CHIJIMATSU M, et al. Thermohydromechanics of partially saturated geological media: governing equations and formulation of four finite element models[J]. International Journal of Rock Mechanics & Mining Sciences, 2001, 38(1): 105-127.
[18]	PHILIP J R, VRIES D A.Moisture movement in porous materials under temperature gradients[J]. Eos Transactions American Geophysical Union, 1957, 38(2): 222-232.
[19]	VAN Esch J M. Adaptive multiscale finite element method for subsurface flow simulation[J]. Civil Engineering & Geosciences, 2010.
[20]	VAUNAT J, JOMMI C, GENS A.A strategy for numerical analysis of the transition between saturated and unsaturated flow conditions[C]// 6th Internatinal Symposium on Numerical Models in Geomechanics. Montreal, 1997: 297-302.
[21]	IN Nassar and Robert Horton. Heat, water, and solute transfer in unsaturated porous media: I theory development and transport coefficient evaluation[J]. Transport in Porous Media, 1997, 27(1): 17-38.
[22]	ZHOU Feng-xi, MA Qiang.Exact solution for capillary interactions between two particles with fixed liquid volume[J]. Applied Mathematics & Mechanics, 2016, 7(12): 1597-1606.
[23]	NASSAR I N, HORTON R.Water transport in unsaturated nonisothermalsalty soil: I experimental results[J]. Soil Science Society of America Journal, 1989, 53(5): 1330-1337.
[24]	LIAKOPOULOS A C.Transient flow through unsaturated porous media[D]. Berkeley: University of California, 1965.
[25]	GAWIN D, SCHREFLER B A, GALINDO M.Thermo- hydro-mechanical analysis of partially saturated porous materials[J]. Engineering Computations, 1996, 13(7): 113-143.

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