The application of convolutional differentiator in seismic modeling based on Shannon singular kernel theory
基于Shannon奇异核理论的褶积微分算子在地震波场模拟中的应用

This article provides a technique to model seismic wave propagation in complex media using convolutional differentiator method based on Shannon singular kernel theory. The high accuracy of the differentiator has been demonstrated through comparisons with numerical results computed by staggered-grid finite difference method. Numerical tests suggest that the differentiator allows sufficient accuracy even in high wave-number domain. Dispersion and stability condition of the method in velocity-stress equation are also thoroughly discussed. Experiment in homogeneous medium shows that the 9-point scheme of this differentiator can achieve analytical accuracy. The application of this differentiator to model seismic wave propagation in homogenous layered medium and complex medium also shows high accuracy and robust stability. These appealing characters of this improved method would make it effective to model seismic wave propagation in complex media.