3D anisotropic transmission stereotomography based on the 3D quasi-acoustic eikonal equation for TTI media
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.
NETL
NSTL
万方数据
