伪谱法模拟各向异性/非均匀介质中弹性波的传播

数值模拟一直是研究弹性波在复杂介质中传播问题的有效手段之一。各向异性问题和非均匀问题日益引起关注。伪谱法是近年来发展较快、建立在弹性波动方程基础上的一种数值模拟方法。它的主要特征是将波动方程中的空间微分变换成频域中的乘法运算 ,从而只需要较少的空间格点就可以得到较高的计算精度。介绍了伪谱法及其稳定性条件 ;编制了一个适合于小型工作站或者PC机的模拟地震波在二维各向异性均匀 /非均匀介质中传播的数值模拟程序 ,模拟了各向异性 /非均匀介质中弹性波传播理论 ,分析了裂纹以及各向异性界面对波传播的影响

Numerical Modeling of Elastic Waves Propagating in the Anisotropic/Heterogeneous Media by the Pseudo-Spectral Method

Numerical modeling has long been recognized to be a powerful method of studying the wave propagation in media with complicated structures. More interests are aroused in the anisotropic problem and heterogeneous problem. The Pseudo Spectral Method (PSM), with which global spatial derivatives are computed by multiplication in Fourier domain, is a new numerical modeling method based on the elastic wave equation developed in recent years. The main advantage of PSM is that it requires a relatively small number of grid points to achieve a specified accuracy. The PSM and its stability are presented. A 2 D PSM code based on workstation or PC is developed to model the 2 D elastic waves propagation in anisotropic/heterogeneous media.