The amplitude characteristic equations of p wave and s wave in transverse isotropic media have been deduced by using the method of aki and richards , that is use the border conditions in elastic interface to solve the elastic wave equation and to decide the energy distribution of different types of wave 本文针对横向各向同性介质( ti - transverseisotropy ) ，利用aki和richards的方法，即根据弹性分界面上的边界条件求解弹性波动方程，确定各种波之间的能量分配关系，建立了横向各向同性介质中p波和sv波入射时的振幅特征方程。
The results can be summarized into the following aspects : molecular dynamics study of liquid - vapor interface shows that the planar liquid - vapor interface at macroscopic level is in fact a wavy surface fluctuating with time , and the length scale of the fluctuating region of the wavy surface is the thickness of the liquid - vapor interface . with speckle laser visualized experiment , the fluctuation of the interface can be verified qualitatively . moreover , md simulations indicate that in the liquid - vapor equilibrium system , there exists a local non - equilibrium region near the interface 主要研究成果归纳如下：对汽液界面进行了分子动力学研究，揭示出宏观尺度的平界面在分子尺度上是随时间起伏涨落的曲分界面，分界面的涨落区域就是汽液界面的厚度，相应的激光散斑实验也定性地证明了界面涨落区的存在；研究还发现在汽液平衡体系中，界面附近存在局域热非平衡区域，并指出了其可能的原因及影响。
Finally , some simplification methods to the model were studied and a modified block elimination contraposing the features of the model ' s linear system was developed , which can greatly decrease the model ' s requirement to computer resources . in the second part , numerical methodology of hybrid techniques was developed , which uses dfn models developed in the fist part to build continuum approximations of fractured rock 第三，本文将一种用离散的水?气分界面模拟非饱和渗流的数值模型扩展到裂隙网络中，为用本文所构建的离散裂隙网络模型模拟裂隙岩体成富拥要柳厅录非饱和渗流提供了一个初步的框架。
