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Quasi-Static Time-Domain Electrical Potential Computation Due to Conduction andDisplacement Current Distributions in an Inhomogeneous and Arbitrarily Anisotropic Layered Earth

机译:非均匀和任意各向异性层状地球中传导和位移电流分布的准静态时域电势计算

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We have formulated and computed the quasi-static time-domain electricalpotentials and the total volume density of electric conduction and displacement currents in any point in an inhonogeneous, arbitrarily anisotropic layered earth due to a point source which injects a transient electric current at any depth level in the layered earth. We have given a stable numerical scheme and developed a complete computer program for computing the snapshots of electrical potentials on a horizontal surface at any depth levels due to the point source at an arbitrary depth. Our numerical experiments show that a stronger effect of anisotropy may be detected at early time measurements because of the influence of displacement currents which are governed by the permittivity of a layer. Similarly, the late time measurements are related to the condition currents which are governed by the conductivity of a layer. With the increasing elapsed time, the axis of anisotropy rotates. It is conjectured that more numerical modeling would help in comprehending the effect of anisotropy in electrical and electromagnetic measurements by geophysical methods.

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