東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

A method of fundamental solutions in...

Augustin, Matthias Albert.

Linked to FindBook

Google Book

Amazon

博客來

A method of fundamental solutions in poroelasticity to model the stress field in geothermal reservoirs

Record Type:	Electronic resources : Monograph/item
Title/Author:	A method of fundamental solutions in poroelasticity to model the stress field in geothermal reservoirs/ by Matthias Albert Augustin.
Author:	Augustin, Matthias Albert.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xii, 235 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Supercritical fluid extraction - Mathematical models. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-17079-4
ISBN:	9783319170794 (electronic bk.)

A method of fundamental solutions in poroelasticity to model the stress field in geothermal reservoirs
Augustin, Matthias Albert.

A method of fundamental solutions in poroelasticity to model the stress field in geothermal reservoirs[electronic resource] /by Matthias Albert Augustin. - Cham :Springer International Publishing :2015. - xii, 235 p. :ill., digital ;24 cm. - Lecture notes in geosystems mathematics and computing. - Lecture notes in geosystems mathematics and computing..

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.

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.

ISBN: 9783319170794 (electronic bk.)

Standard No.: 10.1007/978-3-319-17079-4doiSubjects--Topical Terms:

2157932
Supercritical fluid extraction
--Mathematical models.

LC Class. No.: TP156.E8

Dewey Class. No.: 660.2842

A method of fundamental solutions in poroelasticity to model the stress field in geothermal reservoirs
LDR:02998nmm a2200325 a 4500 001 2009089
003 DE-He213
005 20160222165109.0
006 m d
007 cr nn 008maaau
008 160311s2015 gw s 0 eng d
020 $a 9783319170794 (electronic bk.)
020 $a 9783319170787 (paper)
024 7 $a 10.1007/978-3-319-17079-4 $2 doi
035 $a 978-3-319-17079-4
040 $a GP $c GP
041 0 $a eng
050 4 $a TP156.E8
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 660.2842 $2 23
090 $a TP156.E8 $b A923 2015
100 1 $a Augustin, Matthias Albert. $3 2157930
245 1 2 $a A method of fundamental solutions in poroelasticity to model the stress field in geothermal reservoirs $h [electronic resource] / $c by Matthias Albert Augustin.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2015.
300 $a xii, 235 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in geosystems mathematics and computing
505 0 $a 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.
520 $a 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.
650 0 $a Supercritical fluid extraction $x Mathematical models. $3 2157932
650 0 $a Underground reservoirs. $3 2157933
650 0 $a Geothermal resources. $3 561074
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Numerical Analysis. $3 892626
650 2 4 $a Geophysics/Geodesy. $3 891016
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in geosystems mathematics and computing. $3 2157931
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-17079-4
950 $a Mathematics and Statistics (Springer-11649)