张晓语^1,2,,
杜启振^1,2,,,
张树奎^1,2,
公绪飞^1,2
1. 中国石油大学(华东)地球科学与技术学院, 山东青岛 266580
2. 青岛海洋科学与技术国家实验室海洋矿产资源评价与探测技术功能实验室, 山东青岛 266580

基金项目: 国家自然科学基金（41574125，41774139）和国家科技重大专项（2017ZX05018-005）联合资助


详细信息

作者简介: 张晓语, 女, 1991年生, 在读博士研究生, 主要从事地震波传播和偏移成像方面的研究.E-mail:604810647@qq.com

通讯作者: 杜启振, 男, 1969年生, 教授, 博士生导师, 1991年毕业于中国石油大学(华东), 主要从事地震弹性波传播理论与成像方法研究.E-mail:multi-wave@163.com

中图分类号: P631

收稿日期:2018-02-07
修回日期:2018-07-13
上线日期:2019-01-05

The energy cross-correlation imaging condition based on first-order elastic wave equations

ZHANG XiaoYu^1,2,,
DU QiZhen^1,2,,,
ZHANG ShuKui^1,2,
GONG XuFei^1,2
1. School of Geoscience, China University of Petroleum(East China), Shandong Qingdao 266580, China
2. Laboratory for Marine Mineral Resource, Qingdao National Laboratory for Marine Science and Technology, Shandong Qingdao 266580, China


More Information

Corresponding author: DU QiZhen,E-mail:multi-wave@163.com

MSC: P631

--> Received Date: 07 February 2018
Revised Date: 13 July 2018
Available Online: 05 January 2019


摘要
摘要:基于地震波场能量构建的能量互相关成像条件，具有易实现、物理意义明确及背向散射压制效果明显等优势.但是，目前构建的能量互相关成像条件仅适用于二阶弹性波方程，难以直接应用于一阶弹性波方程.为此，本文针对一阶弹性波方程，基于能量守恒定理及能量密度，构建以速度-应力为参数的能量范数以表征弹性波场能量，将速度-应力能量范数拓展为能量内积以提取弹性波场反射能量.震源端与检波端的基矢量正方向保持一致的基础上，构建得到可有效压制背向散射的弹性波能量成像条件.数值模拟结果表明：该成像条件可以得到背向散射压制、振幅有效保持的能量成像结果.
关键词: 弹性波逆时偏移/
一阶弹性波方程/
能量互相关成像条件/
背向散射

Abstract:The energy cross-correlation imaging condition, which takes the advantages of easy realization and suppressing the backscattering effectively, permits to generate images with definite physical meanings. However, such a condition designed by the second-order elastic wave equation cannot be used directly in the first-order elastic wave equation. To solve this problem, based on the energy conservation theorem and energy density, we construct an energy norm characterized by velocity-stress fields, representing the elastic wavefield energy. As for the source wavefield and the receive wavefield, we extend the velocity-stress energy norm to the energy inner product. Combined with the propagation direction of the forward and backward velocity-stress fields, the energy cross-correlation imaging condition is proposed to attenuate the backscattering. Numerical experiments indicate that this condition allow us to extract the results of reflected wavefield energy without extra computation and to suppress backscattering noise effectively.
Key words:Elastic reverse time migration/
First-order elastic wave equations/
Energy cross-correlation imaging condition/
Backscattering



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