Time evolution of the electric field – Part 1: using the rapid expansion method (REM) with pseudo-spectral evaluation of spatial derivatives

Paul Stoffa, Antoni Ziolkowski

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

We present a method for modeling transient EM data
acquired on land or at sea. We use the rapid expansion
method (REM) to develop the 3-component electric wave
field time response from the spatial responses found using a
pseudo-spectral method. The results are free of numerical
dispersion and accurate to the Nyquist frequency in time
and space. The resulting diffusive field is a weighted sum
of Chebyshev polynomials, which exhibit a wave-like
character and are very sensitive to small perturbations in
the medium. The method is intrinsically parallel which
leads to computational efficiency. Numerical results
compare favorably with the analytic response and 1D
methods even though the computations are intrinsically 3D.
Original languageEnglish
Title of host publicationExpanded Abstracts SEG International Exposition and 88th annual Meeting
PublisherSociety of Exploration Geophysicists
Pages898-902
Number of pages5
DOIs
Publication statusPublished - 15 Oct 2018

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