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二维TTI介质的纯P波波动方程数值模拟

石油物探

2015年 54卷第No. 5期

阅读：79

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Title

Acoustic wave equation numerical simulation for pure P-wave in 2D TTI medium

单位

(吉林大学地球探测科学与技术学院，吉林长春 130026)

Organization

(Jilin University,Changchun 130026,China)

摘要

声波各向异性数值模拟对地震数据处理和解释起着重要的作用。基于Tsvankin提出的精确色散关系,通过平方根近似,在时间-波数域中推导出二维TTI介质纯P波声波波动方程,并利用快速展开法(Rapid Expansion Method,REM)进行了数值模拟。与传统的有限差分法求解二维TTI介质耦合方程和傅里叶有限差分法在时间上进行波场外推相比,该方法的模拟结果精度更高,计算速度更快,并且成功去除横波分量。

Abstract

Anisotropic numerical simulation of acoustic wave plays an important role in seismic data processing and interpretation.Starting with the exact dispersion relationship derived by Tsvankin and a square root approximation，we proposed a pure P-wave acoustic equation for 2D TTI medium in time-wavenumber domain,then the rapid expansion method (REM) is applied for numerical simulation.Compared with the conventional finite difference method to solve the 2D TTI medium coupled equations and Fourier finite difference to implement wavefield extrapolation in time,the synthetic data test results of our method is advanced in high precision and fast computing speed; what’s more,the SV-wave component has been removed successfully.

关键词：

声波各向异性数值模拟; 纯P波声波方程; 快速展开法; 有限差分法; 傅里叶有限差分法;

Keywords:

anisotropic numerical simulation of acoustic wave,; pure P-wave acoustic equation,; rapid expansion method,; finite difference method,; Fourier finite difference method;

基金项目

国家自然科学基金项目(41374108)和国家科技重大专项(2011ZX05023-005-008)联合资助。

DOI

10.3969/j.issn.1000-1441.2015.05.001