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Frequency-Domain Green's Functions for Radar Waves in Heterogeneous 2.5D Media
Citation:
Ellefsen, K., D. Croize, A. MAZZELLA, AND J. McKenna. Frequency-Domain Green's Functions for Radar Waves in Heterogeneous 2.5D Media. Journal of Geophysics. Springer, New York, NY, 74(3):J13-J22, (2009).
Impact/Purpose:
Land Preservation and Restoration - by providing improved scientific knowledge and developing and applying more cost effective tools, models and methods to inform decisions on land restoration.
Description:
Green’s functions for radar waves propagating in heterogeneous media may be calculated in the frequency domain using a hybrid of two numerical methods. The model is defined in the Cartesian coordinate system, and its electromagnetic properties may vary in the x and z directions, but not in the y direction. Wave propagation in the x and z directions is simulated with the finite-difference method, and wave propagation in the y direction is simulated with the discrete wavenumber method. The accuracy of these numeric Green’s functions is assessed by comparing them to analytic Green’s functions: For a homogeneous model, the errors range from -4.16% to 0.44% for the magnitude and from -0.06% to 4.86% for the phase. Numeric Green’s functions may be used to calculate traces for either surface radar data (i.e., ground-penetrating radar data) or crosswell radar data, and they may be used to calculate traveltimes and amplitudes for the first-arriving wave in crosswell radar data. In addition, numeric Green’s functions may be used for waveform inversion, traveltime inversion, or amplitude inversion.