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

Nonfiction, Science & Nature, Mathematics, Differential Equations, Number Systems
Cover of the book A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs by Matthias Albert Augustin, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Matthias Albert Augustin ISBN: 9783319170794
Publisher: Springer International Publishing Publication: July 15, 2015
Imprint: Birkhäuser Language: English
Author: Matthias Albert Augustin
ISBN: 9783319170794
Publisher: Springer International Publishing
Publication: July 15, 2015
Imprint: Birkhäuser
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Change and Maintaining Change by Matthias Albert Augustin
Cover of the book Simulation and Modeling Methodologies, Technologies and Applications by Matthias Albert Augustin
Cover of the book Proceedings of the 13th International Scientific Conference by Matthias Albert Augustin
Cover of the book Surgical Intensive Care Medicine by Matthias Albert Augustin
Cover of the book Current Progress in Medical Mycology by Matthias Albert Augustin
Cover of the book British Women's Writing from Brontë to Bloomsbury, Volume 1 by Matthias Albert Augustin
Cover of the book Nordic Contributions in IS Research by Matthias Albert Augustin
Cover of the book Eco-efficiency of Grinding Processes and Systems by Matthias Albert Augustin
Cover of the book Negotiating Normativity by Matthias Albert Augustin
Cover of the book Moral Certainty and the Foundations of Morality by Matthias Albert Augustin
Cover of the book Statistical Physics for Electrical Engineering by Matthias Albert Augustin
Cover of the book The Project Managers Guide to IDIQ Task Order Service Contracts by Matthias Albert Augustin
Cover of the book Selected Areas in Cryptography -- SAC 2014 by Matthias Albert Augustin
Cover of the book The Climatology of Air-Mass and Frontal Extreme Precipitation by Matthias Albert Augustin
Cover of the book In Search of a Simple Introduction to Communication by Matthias Albert Augustin
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy