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The boundary element method in geoph...

Modin, Igor.

The boundary element method in geophysical survey

Record Type:	Electronic resources : Monograph/item
Title/Author:	The boundary element method in geophysical surveyby Balgaisha Mukanova, Igor Modin.
Author:	Mukanova, Balgaisha.
other author:	Modin, Igor.
Published:	Cham :Springer International Publishing :2018.
Description:	xii, 154 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Integral equations.
Online resource:	http://dx.doi.org/10.1007/978-3-319-72908-4
ISBN:	9783319729084$q(electronic bk.)

The boundary element method in geophysical survey
Mukanova, Balgaisha.

The boundary element method in geophysical survey[electronic resource] /by Balgaisha Mukanova, Igor Modin. - Cham :Springer International Publishing :2018. - xii, 154 p. :ill., digital ;24 cm. - Innovation and discovery in Russian science and engineering,2520-8047. - Innovation and discovery in Russian science and engineering..

Chap1: Introduction -- Chap2: Mathematical background -- Chap3: Electrical Survey Technique and Mathematical Models -- Chap4: The Boundary Element Method (BEM) in ERT Direct and Inverse Problems -- Chap5: BEM in the Sounding of Media with Ground Surface Relief. Chap6: Conclusions and Future Directions of Research.

This volume is devoted to the application of the integral equations method (IEM) and boundary elements method (BEM) to problems involving the sounding of geological media using direct current (DC) Adaptive mesh generation algorithms and numerical methods for solving a system of integral equations are discussed. Integral equations for the media, which contains piecewise linear contact boundaries, immersed local inclusions, and subsurface relief, are derived and solved numerically. Both 2.5D and 3D models with ground surface relief are considered. For 2D conductivity distributions, the influence of the relief on the interpretation of results is shown. Search solutions of the direct problem with ground surface relief are compared using the appropriate interpretation of results based on different inversion programs. Describes in detail the application of the BEM and IEM to 2.5D direct problems using ERT for geological media with a complex structure and having a large number of internal contact boundaries; Provides algorithms of grid generation of the boundaries that are adapted to the geometry of the media, the surface relief and the measurements of electrode arrays; Discusses the application of the BEM to 3D sounding problems using the ERT method; Illustrates the applications of inversion programs to synthetic data generated using the BEM in comparison with the original model and discusses the quality of the associated interpretation.

ISBN: 9783319729084$q(electronic bk.)

Standard No.: 10.1007/978-3-319-72908-4doiSubjects--Topical Terms:

185303
Integral equations.

LC Class. No.: QA431 / .M853 2018

Dewey Class. No.: 515.45

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245 1 4 $a The boundary element method in geophysical survey $h [electronic resource] / $c by Balgaisha Mukanova, Igor Modin.
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505 0 $a Chap1: Introduction -- Chap2: Mathematical background -- Chap3: Electrical Survey Technique and Mathematical Models -- Chap4: The Boundary Element Method (BEM) in ERT Direct and Inverse Problems -- Chap5: BEM in the Sounding of Media with Ground Surface Relief. Chap6: Conclusions and Future Directions of Research.
520 $a This volume is devoted to the application of the integral equations method (IEM) and boundary elements method (BEM) to problems involving the sounding of geological media using direct current (DC) Adaptive mesh generation algorithms and numerical methods for solving a system of integral equations are discussed. Integral equations for the media, which contains piecewise linear contact boundaries, immersed local inclusions, and subsurface relief, are derived and solved numerically. Both 2.5D and 3D models with ground surface relief are considered. For 2D conductivity distributions, the influence of the relief on the interpretation of results is shown. Search solutions of the direct problem with ground surface relief are compared using the appropriate interpretation of results based on different inversion programs. Describes in detail the application of the BEM and IEM to 2.5D direct problems using ERT for geological media with a complex structure and having a large number of internal contact boundaries; Provides algorithms of grid generation of the boundaries that are adapted to the geometry of the media, the surface relief and the measurements of electrode arrays; Discusses the application of the BEM to 3D sounding problems using the ERT method; Illustrates the applications of inversion programs to synthetic data generated using the BEM in comparison with the original model and discusses the quality of the associated interpretation.
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