Synthetic Seismograms of Nonlinear Seismic Waves in Anisotropic (VTI) Media

Numerical simulation is the most important way to study the nonlinear wave propagation in solid. However, the numerical modeling for nonlinear seismic waves face with problems such as steep gradients, shocks and unphysical oscillations. Accordingly, some special treatments have been presented to solve these problems. However, in our knowledge, there is no effective method to overcome these problems by far. In this paper, we report a second order central finite difference (FD) scheme based on a modified flux-corrected transport (FCT) technique, for short, we called it MFCTFD. We present the stability criterion of this algorithm, and the modified absorbing boundary conditions which are suitable to modeling nonlinear seismic waves. With the numerical experiments we testify the validity of this numerical method, and achieve the synthetic three-component seismogram of nonlinear seismic waves in the two dimensional transverse isotropic (with vertical symmetry axis) solid media. The results show that waveform distortion will occur during the process of nonlinear wave propagation.