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Lecture Notes in Geosystems Mathematics and Computing

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

Authors: Augustin, Matthias Albert

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  • First approach to use a method of fundamental solutions for a coupled system of PDEs of different types, in particular a vector-valued elliptic one and a scalar-valued one of Sobolev-evolution type
  • Progress in deep geothermics
  • New methods in 3D numerics for poroelasticity
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eBook 58,84 €
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  • ISBN 978-3-319-17079-4
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Softcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-319-17078-7
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  • Covid-19 shipping restrictions
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About this book

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.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 58,84 €
price for Spain (gross)
  • ISBN 978-3-319-17079-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-319-17078-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs
Authors
Series Title
Lecture Notes in Geosystems Mathematics and Computing
Copyright
2015
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-17079-4
DOI
10.1007/978-3-319-17079-4
Softcover ISBN
978-3-319-17078-7
Series ISSN
2730-5996
Edition Number
1
Number of Pages
XII, 235
Number of Illustrations
37 b/w illustrations, 32 illustrations in colour
Topics