Compensating finite-difference errors in 3-D migration and modeling

Technical Report · Sat Sep 01 04:00:00 EDT 1990

DOI:https://doi.org/10.2172/6540809· OSTI ID:6540809

Li, Zhiming

One-pass three-dimensional (3-D) depth migration potentially offers more accurate imaging results than does conventional two-pass migration, in variable velocity media. Conventional one-pass 3-D migration, done with the method of finite-difference inline and crossline splitting, however, creates large errors in imaging complex structures due to paraxial wave-equation approximation of the one-way wave equation, inline-crossline splitting, and finite-difference grid dispersion. After analyzing the finite-difference errors in conventional 3-D poststack wave field extrapolation, the paper presents a method that compensates for the errors and yet still preserves the efficiency of the conventional finite-difference splitting method. For frequency-space 3-D finite-difference migration and modeling, the compensation operator is implemented using the phase-shift method, or phase-shift plus interpolation method, depending on the extent of lateral velocity variations. The compensation operator increases the accuracy of handling steep dips, suppresses the inline and crossline splitting error, and reduces finite-difference grid dispersions. Numerical calculations show that the quality of 3-D migration and 3-D modeling is improved significantly with the finite-difference error compensation method presented in this paper. 13 refs., 7 figs.

• Research Organization: Colorado School of Mines, Golden, CO (USA). Center for Wave Phenomena
• Sponsoring Organization: DOE/ER
• DOE Contract Number: FG02-89ER14079
• OSTI ID: 6540809
• Report Number(s): DOE/ER/14079-4; CWP--099; ON: DE91001447
• Country of Publication: United States
• Language: English

Related Subjects

58 GEOSCIENCES
580000 -- Geosciences
99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
COMPUTER GRAPHICS
COMPUTERIZED SIMULATION
FINITE DIFFERENCE METHOD
IMAGE PROCESSING
IMAGES
ITERATIVE METHODS
MATHEMATICAL MODELS
NUMERICAL SOLUTION
PROCESSING
SEISMIC WAVES
SIMULATION
THREE-DIMENSIONAL CALCULATIONS
WAVE PROPAGATION