Study And Application On Arbitrary Difference Precise Integration Reverse-time Migration In Complex Structure Imaging

Based on high-accuracy forward modeling method of Arbitrary Difference Precise Integration Method (Abbreviate ADPI), this paper adapts ADPI to two-way reverse-time migration and brings forward the Arbitrary Difference Precise Integration reverse-time migration method. The corresponding difference formula is derived and the stable condition is provided. This migration method can flexibly deal with unequal grid plot, thereby it can thicken local points. Because the reverse-time migration is two-way wave equation migration and the ADPI is the high-accuracy solution to the partial difference equation, this method is one of the high-accuracy migration methods theoretically. Furthermore, it has no limitation to velocity and the output is depth profile, the ADPI reverse-time migration is one of depth migration methods. All kinds of geological structures'successful imaging proved the feasibility of ADPI reverse-time migration and it has the advantages of high-accuracy, with ability of suppressing multiple and velocity disturb, and is sutiable for any complex structure and not sensitive to random noise. Comparing with other migration methods indicate that ADPI reverse-time migration is a migration method with advantage of high image accuracy. In the same time because of its high-order space approximation and all wave field computation, this method is time consuming, and numerical practice has indicate its imaging is highly related with the given velocity. Lastly the deficiency of ADPI reverse-time migration is analyzed and the studying direction is suggested.