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An Elastic Model for Volcanology

Part of the Lecture Notes in Geosystems Mathematics and Computing Book Series

DOI: 10.1007/978-3-030-31475-0

ISBN: 978-3-030-31474-3

Publisher: Springer International Publishing - Springer Journals

Nov 9, 2019

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Chapter 1From the Physical to the Mathematical Model

Aspri, Andrea

Pages: 1 –10

[Nowadays, collection of precise measurements of ground deformations is required to characterize the type of physical processes taking place inside the earth’s crust and constrain the size and location of the source of unrest]
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Chapter 2A Scalar Model in the Half-Space

Aspri, Andrea

Pages: 11 –51

[The aim of this chapter is to provide a detailed mathematical study of a simplified scalar version of the elastic problem presented in Chap. 1. Since this problem is easier than the elastic case it will be studied in the generic framework of a d-dimensional space, with d ≥ 3.]
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Chapter 3Analysis of the Elastic Model

Aspri, Andrea

Pages: 53 –118

[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...

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