Rock physics modeling and elastic wave forward modeling methods in a three-dimensional azimuthally anisotropic medium of orthorhombic symmetry

In this paper， by rock physical equivalent theory and linear slip theory， two sets of orthorhombic fractures are equivalent to a new three-dimensional azimuthally anisotropic medium of orthorhombic symmetry for rock physical modeling. And then elastic wave equations are solved to simulate the propagation process in this medium by high-order staggered-grid finite-difference method. During the process of modeling， with the variation of physical parameters， we analyze CSP (common shot points) sets and the wave field characteristics on the conditions of different fracture densities， as well as azimuthal characteristics of orthorhombic anisotropy. The research results show that the anisotropic strengths enhance with fracture density increasing， which is reflected in the CSP sets and forwarding wavefield.