Based on biot ' s theory , the basic equations and solution conditions were established for the consolidation problem of the composite foundation with single column considering soil - column interactions when load was applied on the top of column only or applied on the top of both column and soil , and the solution for deformations of soil and column were obtained in the forms of laplace and hankel transformation 基于biot理论，分别对在桩顶受外荷载作用和桩土共同受外荷载作用的情况下考虑桩土相互作用的单桩复合地基固结问题建立了基本方程和求解条件，并在laplace变换域和hankel变换域内得到了土体和桩体的变形解答。
Radial point interpolation meshless method with unequal - rank polynomial basis is selected and its shape function formed manner is discussed . then , the mainly solved equations for plane strain biot consolidation problem with this method are given . moreover , the according calculation program is written 本文探讨了不等阶(多项式基)径向点插值无单元法形函数插值格式，给出了其求解平面应变下比奥固结问题的主要方程，编写了相应的计算程序，并对软基路堤的沉降进行了非线性计算，取得较满意的结果。
The formula of dynamic fem is deduced based on dynamic biot ' s consolidation equation considering the coupling of seepage and dynamic analysis with time - history analysis method . parameters are determined from tests and a fem program is developed . dynamic responses of free field and superstructure considering different replacement ratio are analyzed 采用时程分析法，以渗流和动力分析相耦合的biot动力固结方程为基本方程，推导了动力分析有限元计算分析的格式，编制了相关计算程序，水泥搅拌桩复合地基的静力和动力参数由本文的试验确定。
Centered on the investigation on the evolvement of permeability as well as the coupling action between seepage and stress , the following work is carried out : 1 . a further examination is given to classical biot seepage theory to discover the basic assumption to form the coupling seepage equation , and discuss the variety of coupling equations between seepage and stress and their adaptabilities . the physical meanings , adaptability , testing method of seepage parameters used in equation of continuum are analyzed based on the experimental investigations on complete relationship between stress , strain and permeability of rock and engineering test on permeability of rock at different depth 本文围绕岩石破裂过程中渗透性的演化规律及其渗流-应力耦合作用机理这一课题,开展以下方面的研究工作: 1 .对经典biot渗流力学做了进一步的考察,揭示建立耦合渗流方程的主要假设,讨论了各种渗流与应力耦合方程及数学模型的适用条件,通过岩石应力应变-渗透率全过程实验研究和不同深度岩体渗透率工程试验研究,分析了连续介质模型耦合渗流方程参数的物理意义、适用性、测试方法。
In the dissertation , a systematic study on the 3 - d dynamic responding of transversely isotropic saturated half - space / layered saturated strata produced by harmonic loading and seismic loading and dynamic interaction of saturated soils - foundation ( circular plate ) based on biot ' s theory for fluid - saturated porous media and the model of elastic half - space 本文基于biot两相介质波动理论，采用横观各向同性饱和半空间及横观各向同性饱和有限层地基模型，对饱和地基的三维动力响应及横观各向同性饱和地基?基础(板)的动力相互作用进行了系统研究。
