李闻达^1,,
孟小红^1,,,
刘洪²,
王建²,
孙军³,
桂生²
1. 中国地质大学(北京), 北京 100083
2. 中国科学院地质与地球物理研究所, 中国科学院油气资源研究重点实验室, 北京 100049
3. 唐山学院, 河北唐山 063020

基金项目: 国家自然科学基金重点项目，推覆构造控矿的地球物理响应研究（41530321），超深层大模型等效波动模型建立与地震快速正演模拟（2016YFC060110104）联合资助


详细信息

作者简介: 李闻达, 男, 1995年生, 在读硕士生, 主要从事地震波成像与反演方向的研究.E-mail:Geophysicslwd@163.com

通讯作者: 孟小红, 女, 教授, 主要从事计算与综合地球物理研究.E-mail:mxh@cugb.edu.cn

中图分类号: P631

收稿日期:2018-12-17
修回日期:2019-03-01
上线日期:2019-11-05

Elastic wave reverse time migration of decoupling equation based on improved cosine combined window function

LI WenDa^1,,
MENG XiaoHong^1,,,
LIU Hong²,
WANG Jian²,
SUN Jun³,
GUI Sheng²
1. China University of Geosciences in Beijing, Beijing 100083, China
2. Key Laboratory Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100049, China
3. Tangshan College, Heibei Tangshan 063020, China


More Information

Corresponding author: MENG XiaoHong,E-mail:mxh@cugb.edu.cn

MSC: P631

--> Received Date: 17 December 2018
Revised Date: 01 March 2019
Available Online: 05 November 2019


摘要
摘要:弹性波矢量波场逆时偏移可以综合利用纵横波场信息，对地下空间进行清晰成像，且对于成像介质没有角度限制，可以对复杂构造进行更清晰的成像.而弹性波逆时偏移中最重要的就是求解波动方程的算法，其直接影响成像的精度以及效率.本文引进电力系统谐波分析中常用的余弦组合窗函数，并通过一种新的优化算法得到了改进的余弦组合窗函数从而得到优化后的有限差分算子.并将此算子应用于解耦方程的矢量波场分离算法从而提高了成像精度.数值测试表明基于新算法的逆时偏移的成像精度和清晰度得到了明显的提高.
关键词: 有限差分/
余弦组合窗/
数值频散/
赫姆霍兹算法/
解耦方程/
弹性波逆时偏移

Abstract:The reverse time migration (RTM) of elastic wave vector wave field can comprehensively use the vertical and horizontal field information to clearly image the underground space, and there is no angle limitation for the imaging medium, which can more clearly image the complex structure. The algorithm of solving the wave equation, which affect the accuracy and efficiency of imaging directly is the most important things for RTM. In this paper, the cosine combined window function (CCWF) used in harmonic analysis of power system was introduced. Then we obtained optimal finite-difference schemes based on improved CCWFs. Then a vector wave field separation algorithm based on decoupling equation is introduced to improve the imaging accuracy. Numerical tests show that the imaging accuracy of the reverse time migration based on the new algorithm are significantly improved.
Key words:Finite-difference/
Cosine-combined window/
Numerical dispersion/
Helmholtz algorithm/
Decoupling equation/
Elastic reverse time migration



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