倾斜地层地震液化和滑移的有限元分析
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摘要
应用饱和多孔介质动力学分析倾斜地层的土壤动力非线性反应、液化和液化滑移问题，地下水位上的地层简化为单相介质层，饱和夹砂层看作是两相介质，水是可压缩的，采用双曲线非线性本构关系，考虑了砂土的剪胀性、刚度退化、滞回特性和上水相对运动等因素。基于土力学模型，建立了适用于分析非自由场地液化的动力方程组，基于是否考虑发生渗流问题，同时建立了两种离散形式：一种是以土骨架位移和水位移为未知量的矩阵方程，另一种是以土骨架位移、水位移和孔隙水压力为未知量的矩阵方程，初步分析了适用于多孔介质波动模拟的离散模型的人工边界问题，形成的方法将有助于问题的解决。
Theory of two phased media dynamics is used to analyze the seismic liquefaction and slip and dynamical response of slope field, based on the model of soil mechanics and taking account of dynamical nonlinear constitutive relation, soil dilatancy, rigid degradation, hysteresis and relative motion of water and soil. In the same time, an artificial boundary condition is copied with simulating the wave propagation in pore medium. A set of equations of subsoil layers is built. The equations are discrete for two cases which can be used to analyze the problem of water permeation. Firstly a matrix equation with the displacement of soil skeleton and water displacement as variables is set up. Secondly, the matrix equation taking pore water pressure, displacement of soil skeleton and the displacement of water as variables is also set up. Two kinds of computer programs are established. A good tool is found to understand and deal with this problem.
Theory of two phased media dynamics is used to analyze the seismic liquefaction and slip and dynamical response of slope field, based on the model of soil mechanics and taking account of dynamical nonlinear constitutive relation, soil dilatancy, rigid degradation, hysteresis and relative motion of water and soil. In the same time, an artificial boundary condition is copied with simulating the wave propagation in pore medium. A set of equations of subsoil layers is built. The equations are discrete for two cases which can be used to analyze the problem of water permeation. Firstly a matrix equation with the displacement of soil skeleton and water displacement as variables is set up. Secondly, the matrix equation taking pore water pressure, displacement of soil skeleton and the displacement of water as variables is also set up. Two kinds of computer programs are established. A good tool is found to understand and deal with this problem.
引文
[1] 刘惠珊.等 近年地震中的液化侧向扩张和岸坡塌滑[A].全国第三届土动力学会议论文[C].1990
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[4] 陈文化,等.建筑物非均质地基的地震液化有效应力判别法[J]水利学报,24:2000,10
[5] 苗天德.对饱和多孔介质波动问题中本构关系的探讨[J] 力学学报,1995,27(5):536
[6]王志良,等 粘弹塑性土层地震反应的波动分析法[J] 地震工程与工程振动,1981,1(1)
[7]张克绪,谢君斐.土动力学[M].地震出版社,1989
[8] 崔杰等.以剪切波速为宗量的一种砂土地震液化的不确定判别法[J].地震工程与工程振动[J],1997,17(3)
[9] 门福录.地震波在含水地层中的弥散与耗散[J].地球物理学报,1984.27(1)
[10]陈文化 建筑物地基的地震液化问题[D].工程力学研究所,1999,6
[2] 陈文化 地震液化流滑的震害研究[J].自然灾害学报.2001(待发表)
[3]门福录,波在饱和流体的孔隙介质中的传播问题[J] 地球物理学报,1981,24(1)
[4] 陈文化,等.建筑物非均质地基的地震液化有效应力判别法[J]水利学报,24:2000,10
[5] 苗天德.对饱和多孔介质波动问题中本构关系的探讨[J] 力学学报,1995,27(5):536
[6]王志良,等 粘弹塑性土层地震反应的波动分析法[J] 地震工程与工程振动,1981,1(1)
[7]张克绪,谢君斐.土动力学[M].地震出版社,1989
[8] 崔杰等.以剪切波速为宗量的一种砂土地震液化的不确定判别法[J].地震工程与工程振动[J],1997,17(3)
[9] 门福录.地震波在含水地层中的弥散与耗散[J].地球物理学报,1984.27(1)
[10]陈文化 建筑物地基的地震液化问题[D].工程力学研究所,1999,6
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