Elimination of numerical dispersion in finite-difference modeling and migration by flux-corrected transport

Technical Report · Mon Nov 01 04:00:00 EST 1993

DOI:https://doi.org/10.2172/10108205· OSTI ID:10108205

Fei, Tong; Larner, K

Finite-difference acoustic-wave modeling and reverse-time depth migration based on the full wave equation are general approaches that can take into account arbitary variations in velocity and density, and can handle turning waves well. However, conventional finite-difference methods for solving the acousticwave equation suffer from numerical dispersion when too few samples per wavelength are used. Here, we present two flux-corrected transport (FCT) algorithms, one based the second-order equation and the other based on first-order wave equations derived from the second-order one. Combining the FCT technique with conventional finite-difference modeling or reverse-time wave extrapolation can ensure finite-difference solutions without numerical dispersion even for shock waves and impulsive sources. Computed two-dimensional migration images show accurate positioning of reflectors with greater than 90-degree dip. Moreover, application to real data shows no indication of numerical dispersion. The FCT correction, which can be applied to finite-difference approximations of any order in space and time, is an efficient alternative to use of approximations of increasing order.

• Research Organization: Colorado School of Mines, Golden, CO (United States). Center for Wave Phenomena
• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: FG02-89ER14079
• OSTI ID: 10108205
• Report Number(s): DOE/ER/14079--30; CWP--142P; ON: DE94004159; BR: KC0403010
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
990200
ALGORITHMS
FINITE DIFFERENCE METHOD
MATHEMATICS AND COMPUTERS
TRANSPORT THEORY
WAVE EQUATIONS