English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/33869
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL
Exportar a otros formatos:


On the mathematical analysis of an elastic-gravitational layered Earth model for magmatic intrusion: the stationary case

AuthorsArjona, Alicia ; Díaz, Jesús I.; Fernández Torres, José ; Rundle, J. B.
KeywordsElastic-gravitational Earth model
Gravity changes
Weak solution
Issue Date2008
CitationPure and Applied Geophysics, 168 (8) : 1465-1490 (2008)
AbstractIn the early eighties RUNDLE (1980, 1981a,b, 1982) developed the techniques needed for calculations of displacements and gravity changes due to internal sources of strain in layered linear elasticgravitational media. The approximation of the solution for the half space was obtained by using the propagator matrix technique. The Earth model considered is elastic-gravitational, composed of several homogeneous layers overlying a bottom half space. Two dislocation sources can be considered, representing magma intrusions and faults. In recent decades theoretical and computational extensions of that model have been developed by Rundle and co-workers (e.g., FERNA´ NDEZ and RUNDLE, 1994a,b; FERNA´ NDEZ et al., 1997, 2005a; TIAMPO et al., 2004; CHARCO et al., 2006, 2007a,b). The source can be located at any depth in the media. In this work we prove that the perturbed equations representing the elastic-gravitational deformation problem, with the natural boundary and transmission conditions, leads to a well-posed problem even for varied domains and general data. We present constructive proof of the existence and we show the uniqueness and the continuous dependence with respect to the data of weak solutions of the coupled elastic-gravitational field equations.
Publisher version (URL)http://dx.doi.org/10.1007/s00024-004-0385-x
Appears in Collections:(IAG) Artículos
Files in This Item:
There are no files associated with this item.
Show full item record
Review this work

Related articles:

WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.