The Boundary Element Method in Geophysical Survey

1. Auflage 2018
ISBN: 978-3-319-72907-7
Verlag: Springer International Publishing

Buch, Englisch, 154 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 455 g

Reihe: Innovation and Discovery in Russian Science and Engineering

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. 

Zielgruppe

Research

Autoren/Hrsg.

Modin, Igor

Mukanova, Balgaisha

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Geophysik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Geowissenschaften Geologie Geophysik

Inhaltsverzeichnis

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.

Über Autor(innen)

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.