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.
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Mukanova, B., Modin, I. (2018). The Boundary Element Method in ERT Direct and Inverse Problems. In: The Boundary Element Method in Geophysical Survey. Innovation and Discovery in Russian Science and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-72908-4_4
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DOI: https://doi.org/10.1007/978-3-319-72908-4_4
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