The direct spectral element method for the calculation of synthetic seismograms in self-gravitating, spherically symmetric planets
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910046554685440 |
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| author | Myhill, Alex D. C. Al-Attar, David |
| author_facet | Myhill, Alex D. C. Al-Attar, David |
| contents | This paper describes the implementation of the direct solution method (DSM) using radial spectral elements for the calculation of synthetic seismograms in self-gravitating, spherically symmetric, non-rotating, anelastic, and transversely isotropic Earth models. In contrast to previous implementations of the DSM that used a potential formulation within fluid regions, we use a displacement formulation throughout. It is this feature that allows us to extend the DSM to account fully for self-gravitation along with arbitrary fluid stratification. Our code, $\texttt{DSpecM1D}$, is benchmarked against the normal mode summation code $\texttt{MINEOS}$ as well as the direct radial integration code $\texttt{YSpec}$. Agreement between the codes is excellent for both elastic and anelastic models. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_08613 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The direct spectral element method for the calculation of synthetic seismograms in self-gravitating, spherically symmetric planets Myhill, Alex D. C. Al-Attar, David Geophysics 86-08, 74S05 This paper describes the implementation of the direct solution method (DSM) using radial spectral elements for the calculation of synthetic seismograms in self-gravitating, spherically symmetric, non-rotating, anelastic, and transversely isotropic Earth models. In contrast to previous implementations of the DSM that used a potential formulation within fluid regions, we use a displacement formulation throughout. It is this feature that allows us to extend the DSM to account fully for self-gravitation along with arbitrary fluid stratification. Our code, $\texttt{DSpecM1D}$, is benchmarked against the normal mode summation code $\texttt{MINEOS}$ as well as the direct radial integration code $\texttt{YSpec}$. Agreement between the codes is excellent for both elastic and anelastic models. |
| title | The direct spectral element method for the calculation of synthetic seismograms in self-gravitating, spherically symmetric planets |
| topic | Geophysics 86-08, 74S05 |
| url | https://arxiv.org/abs/2603.08613 |