Mathematical aspects of stress field simulations in deep geothermal reservoirs

This report gives an insight into basics of stress field simulations for geothermal reservoirs. The quasistatic equations of poroelasticity are deduced from constitutive equations, balance of mass and balance of momentum. Existence and uniqueness of a weak solution is shown. In order of to find an approximate solution numerically, usage of the so–called method of fundamental solutions is a promising way. The idea of this method as well as a sketch of how convergence may be proven are given.

Metadaten
Author:	Matthias Augustin
URN:	urn:nbn:de:hbz:386-kluedo-26716
Series (Serial Number):	Schriften zur Funktionalanalysis und Geomathematik (50)
Document Type:	Report
Language of publication:	English
Date of Publication (online):	2011/07/07
Year of first Publication:	2011
Publishing Institution:	Technische Universität Kaiserslautern
Date of the Publication (Server):	2011/07/08
Tag:	Methode der Fundamentallösungen; Poroelastizität; Theorie schwacher Lösungen; method of fundamental solutions; poroelasticity; weak solution theory
Page Number:	31
Note:	Altdaten, kein Volltext verfügbar
Source:	GEM - International Journal on Geomathematics, Volume 3 (2012)), Nummer 1, p.67-93, URL: http://dx.doi.org/10.1007/s13137-012-0032-7
Faculties / Organisational entities:	Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:	5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):	35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Kxx Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] / 35K20 Initial-boundary value problems for second-order parabolic equations
	74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Fxx Coupling of solid mechanics with other effects / 74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
Licence (German):	Standard gemäß KLUEDO-Leitlinien vom 27.05.2011