二维非均匀饱和土体的地震反应分析
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摘要
将饱和土体视为由弹性骨架和不可压缩流体组成的两相孔隙介质，取固相位移、液相位移、孔隙水压力为场变量。从两相孔隙介质的动力耦合微分方程出发，利用伽辽金原理和Ｗｉｌｓｏｎ法导出了三场有限元积分方法。该方法可进行二维非均匀饱和土体的地震反应分析。文中通过算例讨论了非均匀饱和土体地震反应的一些特征。
In this paper, the saturated soil is modelled as a two-phase porous media systemconsisting of an elastic solid and an incompressible fluid phase . This approach uses the soliddisplacement, the fluid displacement and the pore pressure as the fluid variables. Based on thetwo -phase coupled differential equations of motion, the application of Galerkin' s principleand Wilson- method yields a three-field finite element integration procedure. The procedurecan be used to analyse the seismic response of the nonhomogeneous fluid- saturated soil in twodimensions. In the paper, some characters of the nonhomogeneous saturated soil underearthquake load is discussed through a sample calculation.
In this paper, the saturated soil is modelled as a two-phase porous media systemconsisting of an elastic solid and an incompressible fluid phase . This approach uses the soliddisplacement, the fluid displacement and the pore pressure as the fluid variables. Based on thetwo -phase coupled differential equations of motion, the application of Galerkin' s principleand Wilson- method yields a three-field finite element integration procedure. The procedurecan be used to analyse the seismic response of the nonhomogeneous fluid- saturated soil in twodimensions. In the paper, some characters of the nonhomogeneous saturated soil underearthquake load is discussed through a sample calculation.
引文
l Ghaboussi,J.and Wilson,E.L . ,Variational Formulation of Dynamics of Fluid-saturated Porous Elastic Solids. J. Eng.Mech Div. . ASCE. 98.947- 963.1972
2 Zienkiewicz. O. C. and Shiomi, T. . Dynamic Behaviour of Saturated Porous Media:he Generalized Biot Formulationand its Numerical Solution, Int. J. Num. Analyt. Meth.Geom, 8(l), 71 -96,1984
3 Simon. B. R. et al. , Evaluation of u-w and u- finite Element Methods for the DynamicResponse of Saturated PorousMedia using one-dimensional Models, Int. J. Num. Analyt. Meth. Geom. 10(5) 461 -482,1986
4 Simon, B. R. et al. Evaluation of Higher Order, Mixed and Hermitean Finite Element Procedures for DynamicAnalysis of Saturated Porous Media using one-dimensional Models, Int. J. Num. Analyt. Meth. Geom, 10( )483 - 499. 1 986
5 Sandhu, R. S. et al., A Three-field Finite Element Procedure for Analysis of Elastic Wave PropagationThrough Fluid-saturated Soils, soil dynammics and Earth. Eng. 9(2),58-65,1990
6 Yiagos, A. N. and Prevost, J. H. ,Two-phase Elastic-plastic Seismic Response of Earth Dams:Theory, soildynamics and Earth. Eng, Vol. 10, No. 7,357,1991
7 门福录,波在饱水孔隙弹性介质中的传播,地球物理学报,14(2)-114、1965
8门福录,波在饱含流体的孔隙水介质中的传播问题,地球物理学报, 24(1),65-75,1981
9 陈龙珠,弹性波在饱和土层中的传播,力学学报, vo1.以No。3,1987
10徐志英,周健。土坝地震孔隙水压力产生、扩散和消散的三维动力分析,地震工程与工程振动, vol,5, No。4, 57-72。1985
11 崔杰等,砂土液化的计算机仿真。地震科学联合基金成果报告。中国地震局工程力学研究所,1995
12张洪武,何扬等,饱和多孔介质半无限域动力-渗流分析中的非反射边界法。岩土工程学报,12(4),1990
2 Zienkiewicz. O. C. and Shiomi, T. . Dynamic Behaviour of Saturated Porous Media:he Generalized Biot Formulationand its Numerical Solution, Int. J. Num. Analyt. Meth.Geom, 8(l), 71 -96,1984
3 Simon. B. R. et al. , Evaluation of u-w and u- finite Element Methods for the DynamicResponse of Saturated PorousMedia using one-dimensional Models, Int. J. Num. Analyt. Meth. Geom. 10(5) 461 -482,1986
4 Simon, B. R. et al. Evaluation of Higher Order, Mixed and Hermitean Finite Element Procedures for DynamicAnalysis of Saturated Porous Media using one-dimensional Models, Int. J. Num. Analyt. Meth. Geom, 10( )483 - 499. 1 986
5 Sandhu, R. S. et al., A Three-field Finite Element Procedure for Analysis of Elastic Wave PropagationThrough Fluid-saturated Soils, soil dynammics and Earth. Eng. 9(2),58-65,1990
6 Yiagos, A. N. and Prevost, J. H. ,Two-phase Elastic-plastic Seismic Response of Earth Dams:Theory, soildynamics and Earth. Eng, Vol. 10, No. 7,357,1991
7 门福录,波在饱水孔隙弹性介质中的传播,地球物理学报,14(2)-114、1965
8门福录,波在饱含流体的孔隙水介质中的传播问题,地球物理学报, 24(1),65-75,1981
9 陈龙珠,弹性波在饱和土层中的传播,力学学报, vo1.以No。3,1987
10徐志英,周健。土坝地震孔隙水压力产生、扩散和消散的三维动力分析,地震工程与工程振动, vol,5, No。4, 57-72。1985
11 崔杰等,砂土液化的计算机仿真。地震科学联合基金成果报告。中国地震局工程力学研究所,1995
12张洪武,何扬等,饱和多孔介质半无限域动力-渗流分析中的非反射边界法。岩土工程学报,12(4),1990
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