Overview
- 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
Part of the book series: Innovation and Discovery in Russian Science and Engineering (IDRSE)
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Table of contents (5 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the authors
Dr. Balgaisha Mukanova is a Doctor of Mathematics and Physical Sciences, Professor at L.N. Gumilyov Eurasian National University, the Faculty of Mathematics and Mechanics, Astana, Kazakhstan.
Dr. Igor Modin is a Doctor of Technical Sciences, Professor at Lomonosov's Moscow State University, the Geological Faculty, Moscow, Russia.
Bibliographic Information
Book Title: The Boundary Element Method in Geophysical Survey
Authors: Balgaisha Mukanova, Igor Modin
Series Title: Innovation and Discovery in Russian Science and Engineering
DOI: https://doi.org/10.1007/978-3-319-72908-4
Publisher: Springer Cham
eBook Packages: Earth and Environmental Science, Earth and Environmental Science (R0)
Copyright Information: Springer International Publishing AG 2018
Hardcover ISBN: 978-3-319-72907-7Published: 22 February 2018
Softcover ISBN: 978-3-319-89222-1Published: 09 May 2019
eBook ISBN: 978-3-319-72908-4Published: 12 February 2018
Series ISSN: 2520-8047
Series E-ISSN: 2520-8055
Edition Number: 1
Number of Pages: XII, 154
Number of Illustrations: 36 b/w illustrations
Topics: Geophysics/Geodesy, Partial Differential Equations, Geophysics and Environmental Physics, Electronics and Microelectronics, Instrumentation