杨锴,
同济大学海洋地质国家重点实验室, 上海 200092
基金项目: 国家自然科学基金面上项目（41574098，41630964）资助
详细信息
作者简介: 王潇, 男, 1995年生, 硕士研究生, 研究方向为地震波的传播、成像与反演.E-mail:15316808190@qq.com
通讯作者: 杨锴, 男, 1972年生, 理学博士, 教授, 博士生导师, 研究方向为地震波的传播、成像与反演.E-mail:yang_kai@tongji.edu.cn
中图分类号: P631收稿日期:2018-04-06
修回日期:2018-07-19
上线日期:2018-12-05
Anisotropic elliptical stereotomography based on the 2D quasi-acoustic eikonal equation for VTI media
WANG Xiao,YANG Kai,
State Key Laboratory of Marine Geology, Tongji University, Shanghai 200092, China
More Information
Corresponding author: YANG Kai,E-mail:yang_kai@tongji.edu.cn
MSC: P631--> Received Date: 06 April 2018
Revised Date: 19 July 2018
Available Online: 05 December 2018
摘要
摘要:基于二维VTI介质拟声波程函方程，应用射线扰动理论建立了该方程控制下的数据空间各参数对于模型空间各个参数之间的线性关系，从而获得二维VTI介质拟声波程函方程的各向异性立体层析核函数.考虑到拟声波近似程函方程中η参数与ε和δ存在强烈耦合，本文首先探讨椭圆各向异性情形，为二维拟声波程函方程椭圆各向异性立体层析算法奠定了理论基础.同时也为日后推广到非椭圆各向异性情况提供了一种获得高质量初始模型的可靠途径.理论数据算例证实了Fréchet核函数求取的正确性以及在此基础上设计的工作流程实现两参数反演的可行性.
关键词: 二维VTI介质拟声波程函方程/
椭圆各向异性立体层析/
Fréchet核函数
Abstract:Stereo-tomography is a distinctive tomography method. The theory and application of isotropic stereo-tomography have been fully developed in the past two decades. In this paper, we apply the ray perturbation theory to the 2D elliptical quasi-acoustic eikonal equation for VTI media from which the linear relation between the stereo-tomographic data components and the model components for qP-wave is derived. Thus the theoretical foundation of 2D VTI stereo-tomography based on the 2D quasi-acoustic eikonal equation is established. Different from the previous anisotropic stereo-tomography which is derived in general anisotropic media, the kinematic information of converted wave mode and the polarization vectors are not necessarily taken into account as a data component in this approach, thus its applicability is more promising. The sensitivity analysis and two synthetic data examples demonstrate the correctness of the derived Fréchet derivatives and the applicability of the presented work-flow of this method.
Key words:2D quasi-acoustic eikonal equation for VTI media/
Anisotropic elliptical stereotomography/
Fréchet kernal
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