Abstract

Numerical solutions of the wave equation have greatly aided geophysicists in both forward modeling and migration of seismic wave fields in complicated geologic media, and they promise to be invaluable in solving the full inverse problem. This paper compares time-stepping methods based on the solution of the acoustic wave equation with that based on the solution of the two way nonreflecting wave equation. In addition to the time-saving of implementation, it is imperative that one choose the most effective time-steeping method for a better imaging of the reflectors. With numerical tests on the Salt model, this paper shows that after a Laplace filtering the migrated results using the acoustic wave equation are superior to those using the two way nonreflecting wave equation.

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