Abstract
A 27-point optimal scheme for 3D frequency-domain scalar wave equation was recently developed. This scheme includes 9 optimization coefficients, and is relatively complicated. To simplify this scheme, a 19-point average-derivative optimal scheme for 3D frequency-domain scalar wave equation is constructed in this paper. This new 19-point scheme includes only 5 optimization coefficients, but maintains similar advantages of the 27-point optimal scheme. Compared to the classical 7-point scheme, the number of grid points per shortest wavelength is reduced from approximately 13 to approximately 4 by this 19-point optimal scheme for equal directional sampling intervals and unequal directional sampling intervals as well. Two numerical examples are presented to demonstrate the theoretical analysis.
Highlights
Full waveform inversion (FWI) is a full-wavefield-modeling-based data-fitting process to extract structural information of subsurface from seismograms [1]
Forward modeling is an important part of FWI
In line with FWI, forward modeling can be divided into two categories: timedomain modeling and frequency-domain modeling
Summary
Full waveform inversion (FWI) is a full-wavefield-modeling-based data-fitting process to extract structural information of subsurface from seismograms [1]. To overcome the disadvantage of the rotated optimal 9-point scheme, Chen [14] developed a new 9-point finite-difference scheme for 2D scalar wave equation based on an average-derivative approach [15,16]. Chen [17] further generalized the average-derivative method and developed a 27-point optimal scheme for 3D scalar wave equation.
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