三维TTI介质qP波透射立体层析方法研究  

3D anisotropic transmission stereotomography based on the 3D quasi-acoustic eikonal equation for TTI media

作　　者：王潇 杨锴[1] 杨顺军 WANG Xiao;YANG Kai;YANG ShunJun(State Key Laboratory of Marine Geology,Tongji Univ.,Shanghai 200092,China;XinJiang Geophysical Exploration Company,BGP Inc.,China National Petroleum Corporation,Ürümqi 830016,China)

机构地区：[1]同济大学海洋地质国家重点实验室,上海200092 [2]中国石油集团东方地球物理公司新疆物探处,乌鲁木齐830016

出　　处：《地球物理学报》2024年第4期1546-1569,共24页Chinese Journal of Geophysics

基　　金：国家自然科学基金面上项目(42074143,42174135)资助。

摘　　要：致力于研究三维TTI介质下的qP波立体层析反演算法.将射线扰动理论应用于三维具有倾斜对称轴的横向各向同性(TTI)介质拟声波程函方程,导出立体层析所需的三维TTI介质qP波数据空间与三维TTI介质模型空间之间的所有Frechét导数.在通过灵敏度测试验证了相应Frechét导数对于三个各向异性THOMSEN参数的正确性之后,使用两步法反演策略——即先使用坐标分量和射线参数水平分量(不包括走时)实施初始反演而后再使用所有数据空间分量进行反演,在三维qP波TTI介质情形下针对三个各向异性THOMSEN参数可以获得理想的反演结果,为三维qP波TTI介质下透射立体层析的应用做好了理论准备.用一个典型的理论数据算例证实了上述观点.In this paper, we aim at developing 3D stereotomography algorithm based on 3D quasi-acoustic eikonal equation in 3D TTI media. Firstly, we apply the ray perturbation theory to the 3D quasi-acoustic eikonal equation for TTI media from which the Frechét derivatives between the stereotomographic data components and the model components for qP-wave is derived. Thus the theoretical foundation of 3D TTI stereotomography based on 3D quasi-acoustic eikonal equation is established. Secondly, a sensitivity analysis is done to verify the correctness of the Frechét derivatives respect to three anisotropic parameters. We find out that the two-step inversion scheme, which is firstly performing a joint inversion using the data components without traveltime to obtain an initial model, then preforming another joint inversion with all the data components based on this initial model, can achieve a perfect inverted result in the 3D qP-wave TTI case. This work provides a theoretical foundation for the application of qP wave transmission stereotomography in 3D TTI media. We demonstrated the above points with a typical synthetic data example.

关 键 词：三维T TI介质 qP波 透射立体层析 Frechét导数 两步法反演策略 

分 类 号：P631[天文地球—地质矿产勘探]