The Boundary Element Method in ERT Direct and Inverse Problems

  • Balgaisha Mukanova
  • Igor Modin
Chapter
Part of the Innovation and Discovery in Russian Science and Engineering book series (IDRSE)

Abstract

Here, we present the application of the IEM and the BEM for solving different types of direct problems. We formulate the theorems and mathematical expressions for the methods, as they require a strong mathematical basis for the numerical simulations. However, those sections can be omitted by specialists in the field of geophysics. The IEM for forward DC sounding problems in 2D and 3D media with a piecewise-constant resistivity distribution is also presented. The integral equations for various 2D media models, namely, media with piecewise-linear contact boundaries, media with immersed local inhomogeneities, and media with buried relief, are derived and solved numerically. In the abovementioned models, the earth’s surface is assumed to be flat.

Keywords

BEM Quasi-3D modeling 2D buried relief Local inhomogeneity Reflection method Integral equations 

References

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Balgaisha Mukanova
    • 1
  • Igor Modin
    • 2
  1. 1.L.N. Gumilyov Eurasian, National UniversityAstanaKazakhstan
  2. 2.Lomonosov Moscow State UniversityMoscowRussia

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