Abstract
In this paper, we firstly derive the stability conditions of high-order staggered-grid schemes for the three-dimensional (3D) elastic wave equation in heterogeneous media based on the energy method. Moreover, the plane wave analysis yields a sufficient and necessary stability condition by the von Neumann criterion in homogeneous case. Numerical computations for 3D wave simulation with point source excitation are given.
Highlights
Numerical simulation of wave propagation has important applications in many scientific fields such as geophysics and seismic inversion
We firstly derive the stability conditions of high-order staggered-grid schemes for the three-dimensional (3D) elastic wave equation in heterogeneous media based on the energy method
In [15], Sei analysis the stability of high-order difference schemes for the 2D elastic wave equation in heterogeneous media
Summary
Numerical simulation of wave propagation has important applications in many scientific fields such as geophysics and seismic inversion. In [15], Sei analysis the stability of high-order difference schemes for the 2D elastic wave equation in heterogeneous media. The stable difference approximation for the 3D elastic wave equation in the second-order formulation in heterogeneous media has been investigated in [16]. In [17], a new family of locally one-dimensional schemes with fourth-order accuracy both in space and time for the 3D elastic wave equation is constructed and the stability is derived. In this paper, based on the energy method, we study the stability analysis for the high-order staggered-grid schemes of the 3D elastic wave equation in heterogeneous media.
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