Time evolution of the electric field using the rapid expansion method with pseudospectral evaluation of spatial derivatives — Part 2: Inclusion of anisotropy and the earth-air interface

Yikuo Liu, Antoni Ziolkowski, Paul Stoffa

Research output: Contribution to journalArticlepeer-review

Abstract

We have evaluated an extension of the 3D 3C rapidexpansion
method for time-domain electromagnetic modeling
with pseudospectral evaluation of spatial derivatives that
includes anisotropic conductivity and the earth-air interface.
We found that transverse isotropic anisotropy can be included
in the modeling with the manipulation of the conductivity
tensor.We model the response of the earth-air interface
by using the upward continuation of the time derivative of the
magnetic induction. All three electric field components are
collocated with the electric conductivities and are modeled
independently and simultaneously with spectral accuracy in
space and time. Numerical tests against the analytical solution
for a half-space and spectral methods for 1D anisotropic layered
earth models demonstrate the excellent accuracy of this
approach.
Original languageEnglish
Pages (from-to)E323-E325
Number of pages13
JournalGeophysics
Volume84
Issue number5
DOIs
Publication statusPublished - 1 Sep 2019

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