The numerical results show that the manifold element ( t1 - 0 , that is to say the nodal covering function order of deformation and pore pressure are 1 and 0 respectively ) can greatly improve the accuracy of biot consolidation analysis , especially the initial pore pressure 数值分析表明，位移和孔压的节点覆盖函数阶次分别取一次和零次的流形单元( t1 - 0 )是该组单元中最为有效的。
Based on 3d axis - symmetrical soil model and the theory of saturated porous medium originally presented by biot , an integral pile and pile with variable impedance embedded in layered saturated soil are analytically studied in this dissertation 在这一背景下，本文考虑了饱和土的三维波动效应，采用解析方法对三维轴对称成层饱和土中完整桩及各类变阻抗桩的纵向耦合振动理论进行系统研究。
Thereafter , the 3 - d biot ' s wave equations in cylindrical coordinate for transversely isotropic saturated poroelastic media are transformed into the two uncoupling governing different equations of 6 - order and 2 - order respectively by means of the displacement functions 本文首先对横观各向同性饱和土的biot波动方程及参数作了系统的比较研究，阐述了波动方程及各项参数的物理力学意义。
According to biot - savart law , the general expression of magnetic field distribution generated by circular current in space has been calculated in this paper , which further discusses the magnetic field in the plane , the central axis and the far space 摘要直接由毕奥萨伐尔定律的计算公式，在更为普遍的情况下，计算出了圆形线电流在全空间的磁场分布，并进一步讨论了其在中心轴线上、平面内及远区的磁感应强度。
However , compared with the measured results , the results calculated by the ordinary method usually ca n ' t meet the demand . so in this thesis , the author introduced the biot consolidation theory and analyze the settlement of soft ground with the nonlinear finite element method 而用常规方法计算的路堤软基沉降值与实测资料相比存在较大的误差，故本文作者引入biot固结理论，对路堤软基沉降作非线性有限元分析。
Using the biot ' s theory of consolidation , a nonlinear seepage - deformation coupled fem program is adopted which is used to calculate the stresses , settlement and drainage - consolidation of a foundation which can be simplified as a plane or axial symmetry problem 本文根据biot固结理论，采用了可以考虑渗流与变形耦合的非线性有限元程序，可以对地基的应力、应变和排水固结问题（包括平面和轴对称问题）进行非线性计算。
And in this paper , the prediction method of the foundation settlement after construction is discussed . firstly , two - dimensional formulas of biot ' s consolidation fem base on nonlinear hyperbolic model and merchant ' s model are presented to calculate settlement of saturated soft clay ground 因而有必要对软土路堤工程的工后沉降进行较为准确的预测，使得预测结果与实际结果更为接近准确以适时的提供日后维修解决工后沉降问题。
This dissertation is based on biot ' s equations governing the behavior of saturated linear elastic porous soil under dynamic loads . on the basis of the existing work , two - dimensional biot ' s consolidation of layered saturated soils under variable loading is studied analytically and numerically 在前人研究的基础上，本文基于biot的动力固结方程，在方程推导中考虑了水土耦合项，用解析和数值方法研究了动荷载作用下地基的固结情况。
A dynamic interaction schematic of an end bearing or elastic bearing pile with arbitrary force at pile top is founded . by using helmholtz resolution and the operator decomposition method , biot ' s equations governing motions of a porous solid saturated with interstitial fluid are decoupled 建立饱和土中端承桩和摩擦桩在任意激振力作用下的理论模型，利用位移势函数及微分算子分解方法，得到饱和土层biot动力固结方程的分离变量解。
Based on biot ' s consolidation and simplified sea - bed to two dimensional sea - bed , numerical simulation about the response of sea bed to waves is developed . the assumption was wielding , such as linear wave loading , linear elastic skeleton of soil and darcy ' s law flow 本文选用了基于biot固结理论，将海床进行二维简化的情况下海床对波浪响应的数学模型，在模型中采用下列假定：线性波浪作用，线弹性土骨架，孔隙流体的流动满足达西定律。
