A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs



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Éditeur :

Birkhäuser


Collection :

Lecture Notes in Geosystems Mathematics and Computing

Paru le : 2015-07-15



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Description
This monograph focuses on the numerical methods needed in the context of developing a reliable simulation tool to promote the use of renewable energy. One very promising source of energy is the heat stored in the Earth’s crust, which is harnessed by so-called geothermal facilities. Scientists from fields like geology, geo-engineering, geophysics and especially geomathematics are called upon to help make geothermics a reliable and safe energy production method. One of the challenges they face involves modeling the mechanical stresses at work in a reservoir.
The aim of this thesis is to develop a numerical solution scheme by means of which the fluid pressure and rock stresses in a geothermal reservoir can be determined prior to well drilling and during production. For this purpose, the method should (i) include poroelastic effects, (ii) provide a means of including thermoelastic effects, (iii) be inexpensive in terms of memory and computational power, and (iv) be flexible with regard to the locations of data points.
After introducing the basic equations and their relations to more familiar ones (the heat equation, Stokes equations, Cauchy-Navier equation), the “method of fundamental solutions” and its potential value concerning our task are discussed. Based on the properties of the fundamental solutions, theoretical results are established and numerical examples of stress field simulations are presented to assess the method’s performance. The first-ever 3D graphics calculated for these topics, which neither requiring meshing of the domain nor involving a time-stepping scheme, make this a pioneering volume.
Pages
235 pages
Collection
Lecture Notes in Geosystems Mathematics and Computing
Parution
2015-07-15
Marque
Birkhäuser
EAN papier
9783319170787
EAN PDF
9783319170794

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
23
Taille du fichier
10004 Ko
Prix
52,74 €
EAN EPUB
9783319170794

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
23
Taille du fichier
6533 Ko
Prix
52,74 €