Abstract
An optimal separable approximation (OSA) is used for characteristic function of one-way wave operator in the seismic migration algorithm. The characteristic function is expressed as products of functions in space variable (g) and functions in wave number variable (k). Based on optimal separable approximation, the mixed domain algorithm in Fourier and inverse Fourier is presented to approximate one-way wave operator. To overcome numerical instability from approximating characteristics function near the singular point, an equivalent sticking skill is adopted to improve algorithmic stability. Moreover, separate frequency computation and linear interpolation for space variables are used to improve precision and save time. The impulse response of oneway wave operator on simple and complex lateral variable velocity model shows that the optimal separable approximation can apply to lateral velocity variation in small step. Results on Marmousi model test show the new method can also be used to image complex structure.
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