各向异性介质中SH波与多个半圆形凹陷地形的相互作用

本文利用多极坐标和复变函数方法研究各向异性介质中SH波与多个半圆形凹陷地形的相互作用,各向异性可用来模拟地质条件。本文给出了各向异性介质中多个半圆形凹陷地形的散射波的表达式。并利用移动坐标的方法,来满足给定的多个半圆形凹名地形上的边界条件,将待解的问题归结为对一组无穷代数方程组的求解问题。本文最后给出了两个尺寸相同的半圆形凹陷地形的相互作用问题的解答和数值结果。

INTERACTION OF MULTIPLE SEMI-CYLINDRICAL CANYONS BY PLANE SH-WAVES IN ANISOTROPIC MEDIA

In this paper, the interactions of multiple semicylindrical canyons by SH-waves in anisotropic media are studied by using multipolar coordinate and complex function method. The effects of the geological conditions can be simulated by anisotropic media. The so-called scattering wave function of the neighborhood of the multiple semi-cylindrical canyo ns in anisotropic media is given. Using the movign coordinate system, the boundary conditions of the given multiple semi-cylindrical canyons are satisfied step by step. Thus the problems to be solved can be summarized as the solution of an infinite set of algebraic equations. At last, the interactions of two neighboring semi-eylindrical canyons with same dimension are examined.