A variational approach to estimating the state of a magma reservoir from observed displacement
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913080090296320 |
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| author | Tonoyama, Shungo Kun Suzuki, Atsushi Miyoshi, Takemasa |
| author_facet | Tonoyama, Shungo Kun Suzuki, Atsushi Miyoshi, Takemasa |
| contents | We propose a numerical procedure to solve an inverse problem that estimates the state of a magma reservoir from observed surface displacement of a volcano. Our variational approach aims to find the minimizer of a cost function consisting of a norm concerning both data and derivative, which evaluates the misfit between the estimated and observed displacement. The extremal of the cost function leads to a linear system, to find the stress distribution on the reservoir surface, has very high condition number, but it is feasible to get appropriate solution by using high precision arithmetic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_00409 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A variational approach to estimating the state of a magma reservoir from observed displacement Tonoyama, Shungo Kun Suzuki, Atsushi Miyoshi, Takemasa Numerical Analysis 65N20, 65F22, 86A22 We propose a numerical procedure to solve an inverse problem that estimates the state of a magma reservoir from observed surface displacement of a volcano. Our variational approach aims to find the minimizer of a cost function consisting of a norm concerning both data and derivative, which evaluates the misfit between the estimated and observed displacement. The extremal of the cost function leads to a linear system, to find the stress distribution on the reservoir surface, has very high condition number, but it is feasible to get appropriate solution by using high precision arithmetic. |
| title | A variational approach to estimating the state of a magma reservoir from observed displacement |
| topic | Numerical Analysis 65N20, 65F22, 86A22 |
| url | https://arxiv.org/abs/2605.00409 |