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arXiv · 2304.03118

Early-warning inverse source problem for the elasto-gravitational equations

Lorenzo Baldassari·Maarten V. de Hoop·Elisa Francini·Sergio Vessella
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Abstract

Through coupled physics, we study an early-warning inverse source problem for the elasto-gravitational equations. It consists of a mixed hyperbolic-elliptic system of partial differential equations describing elastic wave displacement and gravity perturbations produced by a source in a homogeneous bounded medium. Within the Cowling approximation, we prove uniqueness and Lipschitz stability for the inverse problem of recovering the moment tensor and the location of the source from early-time measurements of the changes of the gravitational field. The setup studied in this paper is motivated by gravity-based earthquake early warning systems, which are gaining much attention recently.

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Lorenzo Baldassari, Maarten V. de Hoop, Elisa Francini, Sergio Vessella. 2023-04-06. Early-warning inverse source problem for the elasto-gravitational equations. https://arxiv.org/abs/2304.03118

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