非饱和岩体三场耦合控制方程
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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.
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.
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.
引文
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[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 L izhong,CHEN Y ili.A m athem atical model for the coup ling among groundwater seepage-stress-temperature in engineering rock m ass[J].Journal Southwest Jiaotong Un iversity,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 coup ling prob lem in rock m ass[J].ShanxiM in ing Institute Learned Journal,1995,13(1):76-81.
[5]RUTQVIST J,B RGESSON L,CH IJIMATSU M,et a.l Thermohydrom echan ics of partially saturated geological m ed ia:govern ing equations and formu lation of four fin ite elem entmodels[J].Int.J.Rock M ech.M in.S ic.,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 X iaoyong.A fu lly coup led model for water and airflow in deform ab le porous m ed ia[J].W aterResources 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.
[2]NOOR ISHAD J,TSANG C F,W ITHERSPOON P A.Coup led therm al-hydrau lic-m echan ical phenom ena in saturatedfractured porous rocks:Num erical 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 L izhong,CHEN Y ili.A m athem atical model for the coup ling among groundwater seepage-stress-temperature in engineering rock m ass[J].Journal Southwest Jiaotong Un iversity,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 coup ling prob lem in rock m ass[J].ShanxiM in ing Institute Learned Journal,1995,13(1):76-81.
[5]RUTQVIST J,B RGESSON L,CH IJIMATSU M,et a.l Thermohydrom echan ics of partially saturated geological m ed ia:govern ing equations and formu lation of four fin ite elem entmodels[J].Int.J.Rock M ech.M in.S ic.,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 X iaoyong.A fu lly coup led model for water and airflow in deform ab le porous m ed ia[J].W aterResources 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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