rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: A
    title: Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs
  name:
    name part: Augustin, Matthias Albert.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2015
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 235 p. 69 illus., 32 illus. in color. online resource.
  abstract: 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: 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.
  note: by Matthias Albert Augustin.
  subject:
    topic: Mathematics
  subject:
    topic: Geophysics
  subject:
    topic: Partial differential equations
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematics
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Numerical Analysis
  subject:
    topic: Geophysics/Geodesy
  classification: QA370-380
  classification: 515.353
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Geosystems Mathematics and Computing
  identifier: 9783319170794
  identifier: http://dx.doi.org/10.1007/978-3-319-17079-4
  record info:
    record creation date: 150715
    record change date: 20151106161022.0
    record identifier: 978-3-319-17079-4