Semi-Analytical Solutions and Numerical Simulations of 2D SH Wave Equation

详细信息   

• 责任者：Wang Meixia (Department of Mathematical Sciences ; Tsinghua University ; Beijing 100084 ; China) ; Yang Dinghui
• 刊名：Chinese Journal of Geophysics
• 出版年：2012
• 卷期：55(3)
• 关键词：SH波 ; SH-waves ; 波动方程 ; wave equation
• 页码：p.914-924
• 图表：5 illus., 17 refs.
• 分类号：1600
• issnNo：ISSN0001-5733
• isbnNo：CN11-2074/P

摘要

In this paper,the authors show the analytical solutions of the SH-wave equation based on wave propagation theories. The results include the analytical solutions of 2D SH-wave equations in the homogeneous medium,the analytical solutions of reflected SH-wave in a two-layer medium derived in detail by using the Cagniard-de Hoop method. The authors obtain the analytical solutions for the transmitted SH-wave. The authors also present some numerical results by using numerical integral algorithms for the complex integral solutions,and compare the analytical solutions with the numerical results computed by the numerical methods including the optimal nearly analytical discrete method（ONADM） and the fourth-order Lax-Wendroff correction（LWC） scheme to verify the correctness of the numerical methods.