许茜茹^1,2,,
毛伟建^1,,
1. 中国科学院测量与地球物理研究所计算与勘探地球物理中心, 大地测量与地球动力学国家实验室, 武汉 430077
2. 中国科学院大学, 北京 100049

基金项目: 国家重点研发计划(2016YFC0601101), 国家自然科学基金(U1562216)以及国家科技重大专项项目《新一代地球物理油气勘探软件系统》(2017ZX05018-001)联合资助


详细信息

作者简介: 许茜茹, 女, 1990年生, 在读博士, 主要从事地震各向异性模拟与成像研究.E-mail:xuqianru@whigg.ac.cn

通讯作者: 毛伟建, 男, 研究员, 博士生导师, 主要从事地震数据处理、成像和反演研究.E-mail:wjmao@whigg.ac.cn

中图分类号: P631

收稿日期:2017-11-08
修回日期:2018-06-14
上线日期:2019-01-05

Reflection and transmission coefficients based on second-order approximation in orthorhombic anisotropic media

XU QianRu^1,2,,
MAO WeiJian^1,,
1. Chinese Academy of Sciences, Institute of Geodesy and Geophysics, Center for Computational and Exploration Geophysics and State Key Laboratory of Geodesy and Earth's Dynamics, Wuhan 430077, China
2. University of Chinese Academy of Sciences, Beijing 100049, China


More Information

Corresponding author: MAO WeiJian,E-mail:wjmao@whigg.ac.cn

MSC: P631

--> Received Date: 08 November 2017
Revised Date: 14 June 2018
Available Online: 05 January 2019


摘要
摘要:地震波在各向异性介质中以一个准P波（qP）和两个准S波（qS1和qS2）的形式传播.研究三种波的相速度、群速度以及偏振方向等传播性质能够为各向异性介质中的正反演问题提供有效支撑.具有比横向各向同性（TI）介质更一般对称性的正交各向异性介质通常需要9个独立参数对其进行描述，这使得对传播特征的计算更为复杂.当两个准S波速度相近时具有耦合性，从而令慢度的计算产生奇异性.因此，奇异点（慢度面的鞍点和交叉点）附近的反射与透射（R/T）系数的求解不稳定，会导致波场振幅不准确.本文首次通过结合耦合S波射线理论和基于迭代的各向异性相速度与偏振矢量的高阶近似解，得到了适用于正交各向异性介质以qP波入射所产生的二阶R/T系数的计算方法.与基于一阶近似的结果相比，基于二阶近似的方法提高了qP波R/T系数的精度，能得到一阶耦合近似无法表达的准确的qP-qS转换波的R/T系数解，且方法适用于较强的各向异性介质.
关键词: 各向异性/
R/T系数/
耦合S波/
二阶近似

Abstract:Seismic wave propagation in the anisotropic media with one quasi-P wave (qP) and two quasi-S waves (qS1 and qS2). Studying of the propagation properties, such as phase velocity, group velocity and polarization, provides effective support for seismic forward modeling and inverse problems in anisotropic media. To describe the orthorhombic anisotropic media with more general symmetry than transverse isotropic (TI) media usually requires 9 independent parameters, which makes the calculation of propagation properties very complicated. The two quasi-S waves with similar velocities are coupled, causing the singularities in slowness calculation. As a result, the reflection and transmission (R/T) coefficients are unstable in the neighborhood of singularities (saddle points and cross points on slowness surface), which makes the wavefield amplitude calculation inaccurate. In this paper we propose a method to obtain the second-order R/T coefficients generated by incident qP wave in orthorhombic media by using coupled ray theory and high-order iterative solution of phase velocity and polarization vector in anisotropic media. Compared with the first-order results, the proposed method improves the accuracy of qP wave R/T coefficients, and obtains accurate qP-qS converted wave R/T coefficients which is not available in the first-order coupling approximation method. Furthermore, our method is applicable to strong anisotropic media.
Key words:Anisotropy/
R/T coefficients/
Couple-S wave/
Second-order approximation



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