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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs
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A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs
Matthias Albert Augustin (Broschiert, Englisch)
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Beschreibung
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. 53,49 €
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Technische Daten
Erscheinungsdatum
23.07.2015
Sprache
Englisch
EAN
9783319170787
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Lecture Notes in Geosystems Mathematics and Computing
Sonderedition
Nein
Autor
Matthias Albert Augustin
Seitenanzahl
235
Auflage
1
Einbandart
Broschiert
Schlagwörter
2D and 3D numerical realisations, Biot, geothermal and medical applications, method of fundamental solutions, poroelasticity, stress field, partial differential equations
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
PBKS - Numerische Mathematik
PHVG - Geophysik
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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