Dislocations in a layered elastic medium with applications to fault detection

Andrea Aspri, Elena Beretta, Anna L. Mazzucato

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We consider a model for elastic dislocations in geophysics. We model a portion of the Earth’s crust as a bounded, inhomogeneous elastic body with a buried fault surface, along which slip occurs. We prove well-posedness of the resulting mixed-boundary-value-transmission problem, assuming only bounded elastic moduli. We establish uniqueness in the inverse problem of determining the fault surface and the slip from a unique measurement of the displacement on an open patch at the surface, assuming in addition that the Earth’s crust is an isotropic, layered medium with Lamé coefficients piecewise Lipschitz on a known partition and that the fault surface satisfies certain geometric conditions. These results substantially extend those of the authors in [Arch. Ration. Mech. Anal. 236, 71–111 (2020)].

Original languageEnglish (US)
Pages (from-to)1091-1112
Number of pages22
JournalJournal of the European Mathematical Society
Volume25
Issue number3
DOIs
StatePublished - 2023

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics

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