An Iterative Finite-Difference Solution for Quasi-P and Quasi-SV Wave Equations In TTI Media
详细信息
- 责任者：Huang Yijian (State Key Laboratory of Continental Dynamics ; Institute of Oil and Gas ; Northwest University ; Xi’an 710069 ; China) ; Liu Yongdong
- 刊名：Oil Geophysical Prospecting
- 出版年：2012
- 卷期：47(2)
- 关键词：地震勘探 ; seismic exploration ; 有限差分法 ; finite difference methods
- 页码：p.212-217
- 图表：4 illus., 11 refs.
- 分类号：1600
- issnNo：ISSN1000-7210
- isbnNo：CN13-1095/TE
摘要
In this work,we transform the available temporal and spatial derivatives coupled quasi-P and quasi-SV wave equations for transversely isotropic media with a tilted symmetric axis(TTI) media from time-space domain to time-frequency domain.We present two approaches to calculate their solutions by finite-difference(FD) approximation and provide the stability conditions.While one approach computes the wave fields of each time step by solving a large sparse linear system based on FD approximation of the wave equations,the other approach computes the wave fields through an iterative algorithm built by FD approximation after assigning initial zero wavefield values,on the basis of the former approach,and thus no need to solve the large linear system.The iterative computation for each grid node uses only a small number of node values.Comparisons with the model test results of pseudo-spectral approach demonstrate the presented iterative FD approach is correct and is more efficient but less accurate.Analysis to the variation curves between updating value and iteration times shows the convergence of the iterative algorithm.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |