dorsal/arxiv
View SchemaSpectral element modeling of three dimensional wave propagation in a self-gravitating Earth with an arbitrarily stratified outer core
| Authors | Emmanuel Chaljub, Bernard Valette |
|---|---|
| Categories | |
| ArXiv ID | physics/0308102 |
| URL | https://arxiv.org/abs/physics/0308102 |
| DOI | 10.1111/j.1365-246X.2004.02267.x |
Abstract
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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"abstract": "This paper deals with the spectral element modeling of seismic wave\npropagation at the global scale. Two aspects relevant to low-frequency studies\nare particularly emphasized. First, the method is generalized beyond the\nCowling approximation in order to fully account for the effects of\nself-gravitation. In particular, the perturbation of the gravity field outside\nthe Earth is handled by a projection of the spectral element solution onto the\nbasis of spherical harmonics. Second, we propose a new formulation inside the\nfluid which allows to account for an arbitrary density stratification. It is\nbased upon a decomposition of the displacement into two scalar potentials, and\nresults in a fully explicit fluid-solid coupling strategy. The implementation\nof the method is carefully detailed and its accuracy is demonstrated through a\nseries of benchmark tests.",
"arxiv_id": "physics/0308102",
"authors": [
"Emmanuel Chaljub",
"Bernard Valette"
],
"categories": [
"physics.geo-ph"
],
"doi": "10.1111/j.1365-246X.2004.02267.x",
"title": "Spectral element modeling of three dimensional wave propagation in a self-gravitating Earth with an arbitrarily stratified outer core",
"url": "https://arxiv.org/abs/physics/0308102"
},
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