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含地下水的土层对地震波传播的影响
引用本文:门福录,崔杰.含地下水的土层对地震波传播的影响[J].地球物理学报,1992,35(4):521-532.
作者姓名:门福录  崔杰
作者单位:国家地震局工程力学研究所 哈尔滨 150080
摘    要:本文综合地介绍了含地下水的土层对地震波传播的研究成果,并对一些普遍性的原则问题进行了讨论.在不变形介质的前提下详细研究了二维地下水的波动问题,应用和开发了线单元-特征线法、交替方向隐式差分法和伽辽金有限单元法,求解了一些边值问题.还研究了介质的不均匀性、地层的成层性等对地下水波动的影响以及地下水波在界面上的透射、反射现象,发现了一些新的规律.从普遍方程出发,论证了地下水波在可变形介质和不变形介质中的差别,导出了两者的换算关系.开辟了由不变形介质的解求可变形介质的解的一个间接途径. 在可变形介质的前提下,直接从两相介质动力方程组出发,对含水土层中的波动问题进行了详尽研究,考虑了弹塑性、非线性本构关系、剪胀性、刚度退化等各种因素的影响.通过计算对各种土壤刚度、渗阻条件、边界透水条件、荷载形式、本构关系和不均匀性等情况做了比较研究,发现一些新规律.在垂直地震荷载作用下发现了两种不同形态的孔隙水压反应--阶变形和振荡形的机制,并用间断波理论解释了孔压阶跃的原因.最后对发现的新现象做了一些讨论和总结.

关 键 词:含水地层  地下水波  波传播  有限元  差分一特征线  
收稿时间:1990-01-17

EFFECT OF SATURATED-SOIL LAYERS ON SEISMIC WAVE PROPAGATION
MEN FU-LU CUI JIE YUAN XIAO-MING JING LI-PING.EFFECT OF SATURATED-SOIL LAYERS ON SEISMIC WAVE PROPAGATION[J].Chinese Journal of Geophysics,1992,35(4):521-532.
Authors:MEN FU-LU CUI JIE YUAN XIAO-MING JING LI-PING
Affiliation:Institute of Engineering Mechanics, State Seismological Bureau, Harbin 150080
Abstract:The paper presents in a condensed way the research results obtained by all the contributing authors to the project, and makes discussions on some fundamental questions commonly encountered in dealing with the subject. Of the results obtained absolute majority are new, first appeared in publication.For non-deformable porous media two-dimensional ground water wave problems are studied in detail. And the line element combined with characteristics method, the alterating-direc-tion implicit procedure (ADI), and Galerkin's finite element method are utilized to solve several boundary value problems. Effects of the non-homogeneity and stratification on wave propagation as well as the wave transmission through and reflection at 'boundary are also studied. Some new trends are discovered from the numerical results and computer programs are compiled.Starting from the system of general equations governing deformable and non-deformable saturated, porous media, it is shown that a relationship of pore water pressure between the two media may be obtained, which provides an indirect approach to get solutions for deformable media from those for non-deformable ones. For deformable porous media starting directly from the system of dynamic equations established for two phase media wave propagations in saturated soil layers are studied in more detail, and a computer program is compiled which permits to incorporate various constitutive relation of soil skeleton, dilatancy, stiffness deterioration etc. Comparative studies are made for various cases of soil stiffness, resistance of percolation, drain condition on boundary, loading form, constitutive relation, and stratification. As a consequence, some new trends are discovered. Two types of pore water pressure response, jumping and oscillating, are obtained under the excitation of vertical earthquake loading while the background of pore pressure jump is explained by the theory of discontinuous wave.Finally, some discussion and summation of the new phenomena discovered are made.
Keywords:Water-saturated stratum  Groundwater wave  Wave propagation  Finite element  Finite difference-characteristics  
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