Numerical Simulation Of Reverse Time Migration With Arbitrary Difference Precise Integration Method

Forward numerical modeling of wave equation for acquiring the original data of reverse-time migration with arbitrary difference precise integration (ADPI) method, this paper infers the high-order finite difference forms of 3D acoustic equations, degenerates them to different precise central difference forms of 2D wave equation. From the contrasts of parameters, it selects the seismic source wavelet, boundary conditions,initialize values and several velocity models, and simulates the acoustic field. The simulation results are shown that, acoustic equation numerical simulation with the high-order precision finite difference method has a higher computation precision, can depress dispersive in effect, includes abundant information about seismic kinematics and dynamics, is easier achieved, and has good computation efficiency.Reverse-time migration with ADPI from lots of migration methods is selected in this paper; the paper introduces briefly the traditional finite difference depth-orient continuation of migration, principles of single way and two way wave equation reverse-time migration are parallel expatiated, infers the continuation formula of ADPI reverse-time migration, emphasizes application principle of complete acoustic equation reverse-time migration with ADPI. The paper shows the results of migration with several methods; the result of contrast is shown that, the ADPI reverse-time migration is valid.The simulation results of the reverse-time migration indicate that, this method is applied to 2D arbitrary complicated geological structure; it adopts the complete acoustic equation and is not restricted with velocity, the arbitrary obliquity interface and the instance of stratum parameters are disconnected violently can be migrated. Because the reverse-time migration uses complete acoustic equation, can suppress multi-wave and disturbance of velocity, it has upper precision. Furthermore, it can use to image of pre-stack and post-stack migration.In the end, this paper educes some conclusions and cognition, puts forward some advice of optimization.