Numerical modeling of seismic wave propagation in selected anisotropic media

This book reports a comprehensive study of numerical modeling of wave propagation in 3D anisotropic media. Finite-difference methods were used for efficient modeling of wave propagation in such a media. After a short introduction, the book presents the theory of anisotropic model that describes real geological media and its approximation using horizontal, vertical, titled transverse isotropic and orthorhombic media in the second chapter. Also, the construction of efficient and universal wave field modeling algorithm that is deduced from the basic ones using stiffness matrix transformation by Bond matrices is shown. The third chapter presents numerical solution of the elastic wave equation in various types of anisotropic media. The second order in space and time finite-difference method was used to obtain a detailed solution for all considered types of anisotropic media. Stability criteria for all discussed algorithms are also presented. Fourth order in time finite-difference method is presented additionally as an example of alternative numerical solution. In the next chapter implementation of the finite-difference schemas including initial and border conditions and computational environment is discussed. In the last chapter example results of wave propagation modeling for different types of anisotropy and for various seismic sources are presented and discussed.