具有任意分层外核的自引力地球中三维波传播的谱元模拟
Spectral element modeling of three dimensional wave propagation in a self-gravitating Earth with an arbitrarily stratified outer core
摘要：
本文讨论全球尺度地震波传播的谱元模拟。特别强调了与低频研究相关的两个方面。首先，该方法是广义超越考林近似，以充分考虑自引力的影响。特别地，地球外的重力场的扰动通过将谱元解投影到球谐函数的基础上来处理。其次，我们提出了一个新的配方内的流体，它允许考虑任意密度分层。它是基于一个分解成两个标量位的位移，并在一个完全明确的流固耦合策略的结果。该方法的实施是仔细详细的，其准确性是通过一系列的基准测试证明。
英文摘要：
This paper deals with the spectral element modeling of seismic wave propagation at the global scale. Two aspects relevant to low-frequency studies are particularly emphasized. First, the method is generalized beyond the Cowling approximation in order to fully account for the effects of self-gravitation. In particular, the perturbation of the gravity field outside the Earth is handled by a projection of the spectral element solution onto the basis of spherical harmonics. Second, we propose a new formulation inside the fluid which allows to account for an arbitrary density stratification. It is based upon a decomposition of the displacement into two scalar potentials, and results in a fully explicit fluid-solid coupling strategy. The implementation of the method is carefully detailed and its accuracy is demonstrated through a series of benchmark tests.
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