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Analysis of the Elastic Model

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An Elastic Model for Volcanology

Part of the book series: Lecture Notes in Geosystems Mathematics and Computing ((LNGMC))

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Abstract

In this chapter we study the linear elastic model presented in the introduction. We recall that it is applied in volcanology to describe the surface deformation effects caused by a magma chamber embedded into Earth’s interior and exerting on it a uniform hydrostatic pressure. From a mathematical point of view, the modeling assumptions translates into a Neumann boundary value problem for the classic Lamé system in a half-space with an embedded pressurized cavity. To be more precise, the boundary conditions are traction-free for the air/crust boundary and uniformly hydrostatic for the chamber boundary.

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Authors and Affiliations

  1. Austrian Academy of Sciences, Johann Radon Institute for Computational, Linz, Austria

    Andrea Aspri

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  1. Andrea Aspri
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Aspri, A. (2019). Analysis of the Elastic Model. In: An Elastic Model for Volcanology. Lecture Notes in Geosystems Mathematics and Computing. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-31475-0_3

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