Open AccessElectromagnetic response of an arbitrarily shaped three‐dimensional conductor in a layered earth—numerical results
Author(s) -
Das U. C.,
Verma S. K.
Publication year - 1982
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1982.tb04935.x
Subject(s) - computation , convolution (computer science) , numerical analysis , mathematical analysis , matrix (chemical analysis) , mathematics , electromagnetic field , computer science , geometry , algorithm , physics , materials science , quantum mechanics , machine learning , artificial neural network , composite material
Summary. In an earlier work, mathematical formulation on computing the electromagnetic response of an arbitrarily shaped three‐dimensional inhomogeneity in a layered earth had been worked out using an integral equation technique. The method has been used to show its efficacy by computing numerical results. Introducing suitable changes of variables the secondary contributions to Green's dyadic are put in the form of convolution integrals and are computed using a digital linear filtering scheme. The matrix equation is solved for the unknown electric fields in the inhomogeneity. The scattered fields are then calculated at the surface of the Earth using the appropriate Green's dyadic. The performance of the computations has been shown by comparing the numerical results with those obtained by analogue modelling as well as by other numerical schemes. The use of digital linear filtering saves an enormous amount of computer time. The effects of varying excitation‐frequency, conductivity of the host medium and that of the overburden have been studied in detail for a horizontal loop system traversing over a two‐layered earth with a prismatic inhomogeneity situated in the lower conducting half space.