Governing Equations for Coupled Thermo-Hydro-Mechanical Behaviors in Unsaturated Rock Mass
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摘要: 为研究非饱和岩体对温度场-渗流场-变形场三场耦合作用的响应,采用等效连续介质模型,根据质量守恒方程、线动量平衡方程和能量守恒方程以及相应的物性方程(状态方程和本构方程)推导了非饱和岩体三场耦合控制方程,包括岩体变形场控制方程、地下水渗流场控制方程和岩体温度场控制方程.在推导三场耦合控制方程中,舍弃了局部热平衡假设,而采用热弹塑性本构关系,并考虑了温度梯度对地下水渗流的影响.Abstract: To study responses of unsaturated rock masses to coupled THM processes,the governing equations of coupled THM behaviors in unsaturated rock masses were derived by using the equivalent continuum model.The governing equations include those for thermal,hydrological and mechanical fields,and are based on the conservation equations for fluid and solid masses,linear momentum and energy,as well as the corresponding state equation and constitutive equations.In the derivation,thermal elasto-plastic constitutive relationship,rather than the assumption of local thermal equilibrium,was adopted,and the effect of temperature gradient on hydrological processes was taken into account.
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Key words:
- unsaturated rock mass /
- thermal field /
- hydrological field /
- mechanical field /
- THM coupling /
- governing equation
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JING L,TSANG C F,STEPHANSSON O.DEXCOVALEX-an international co-operative research project on mathematical models of coupled THM processes for safety analysis of radioactive waste repositories[J].Int.J.Rock Mech.Min.Sic. Geomech.Abstr,1995,32(5):389-398.[2] NOORISHAD J,TSANG C F,WITHERSPOON P A.Coupled thermal-hydraulic-mechanical phenomena in saturated fractured porous rocks:Numerical Approach[J].J.Geophysical Res.,1984,89(B12):10 365-10 373.[3] 黄涛,杨立中,陈一立.工程岩体地下水渗流-应力-温度耦合作用数学模型的研究[J].西南交通大学学报,1999,34(1):11-15.HUANG Tao,YANG Lizhong,CHEN Yili.A mathematical model for the coupling among groundwater seepage-stresstemperature in engineering rock mass[J].Journal Southwest Jiaotong University,1999,34(1):11-15.[4] 周江,福井正则.岩体中渗流-热-应力耦合作用的理论研究[J].山西矿业学院学报,1995,13(1):76-81.ZHOU Jiong,FUKUI K.Study on coupling problem in rock mass[J].Shanxi Mining Institute Learned Journal,1995,13(1):76-81.[5] RUTQVIST J,B(o)RGESSON L,CHIJIMATSU M,et al.Thermohydromechanics of partially saturated geological media:governing equations and formulation of four finite element models[J].Int.J.Rock Mech.Min.Sic.,2001,38 (1):105-127.[6] FREEZE R A,CHERRY J A.地下水[M].吴静方译.北京:地震出版社,1988:17-18.[7] JACOB B.地下水水力学[M].许涓铭,等译.北京:地质出版社,1985:48-51,164-165.[8] 刘正兴,孙雁,王国庆.计算固体力学[M].上海:上海交通大学出版社,2000:301-302.[9] SCHREFLER B A,ZHAN Xiaoyong.A fully coupled model for water and airflow in deformable porous media[J].Water Resources Research,1993,29(1):155-167.[10] 贺玉龙.三场耦合作用相关试验及耦合强度量化研究[D].博士学位论文.成都:西南交通大学,2003.[11] 朱学悬,谢春红.地下水运移模型[M].北京:中国建筑工业出版社,1990:199.
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