The Resource A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs, by Matthias Albert Augustin, (electronic resource)

A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs, by Matthias Albert Augustin, (electronic resource)

Label
A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs
Title
A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs
Statement of responsibility
by Matthias Albert Augustin
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
http://library.link/vocab/creatorName
Augustin, Matthias Albert
Dewey number
510
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
N4-gTkDG-BY
Language note
English
LC call number
QA370-380
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Lecture Notes in Geosystems Mathematics and Computing
http://library.link/vocab/subjectName
  • Differential equations, partial
  • Numerical analysis
  • Physical geography
  • Partial Differential Equations
  • Numerical Analysis
  • Geophysics/Geodesy
Label
A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs, by Matthias Albert Augustin, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
1.Introduction -- 2. Preliminaries -- 3. Physical and Mathematical Foundation -- 4. Boundary Layer Potentials in Poroelasticity -- 5. Methods of Fundamental Solutions in Poroelasticity -- 6. Numerical Results -- 7. Conclusion and Outlook -- A. Fundamental Stresses and Fluid Velocities -- Bibliography
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (245 p.)
Form of item
online
Isbn
9783319170794
Media category
computer
Media type code
c
Other control number
10.1007/978-3-319-17079-4
Specific material designation
remote
System control number
  • (CKB)3710000000449492
  • (EBL)3567754
  • (SSID)ssj0001534502
  • (PQKBManifestationID)11845596
  • (PQKBTitleCode)TC0001534502
  • (PQKBWorkID)11496065
  • (PQKB)11470560
  • (DE-He213)978-3-319-17079-4
  • (MiAaPQ)EBC3567754
  • (EXLCZ)993710000000449492
Label
A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs, by Matthias Albert Augustin, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
1.Introduction -- 2. Preliminaries -- 3. Physical and Mathematical Foundation -- 4. Boundary Layer Potentials in Poroelasticity -- 5. Methods of Fundamental Solutions in Poroelasticity -- 6. Numerical Results -- 7. Conclusion and Outlook -- A. Fundamental Stresses and Fluid Velocities -- Bibliography
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (245 p.)
Form of item
online
Isbn
9783319170794
Media category
computer
Media type code
c
Other control number
10.1007/978-3-319-17079-4
Specific material designation
remote
System control number
  • (CKB)3710000000449492
  • (EBL)3567754
  • (SSID)ssj0001534502
  • (PQKBManifestationID)11845596
  • (PQKBTitleCode)TC0001534502
  • (PQKBWorkID)11496065
  • (PQKB)11470560
  • (DE-He213)978-3-319-17079-4
  • (MiAaPQ)EBC3567754
  • (EXLCZ)993710000000449492

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