Analysis Method Of Multi Wave Field Numerical Simulation And Post Stack Reverse Time Migration

Multi wave field numerical simulation and migration imaging has been an important research direction in the field of Geophysics, both of which are based on the elastic wave equation. Elastic wave equations of motion can reserve geometry, kinematics, and dynamics characteristics of elastic wave well in the medium propagation during propagating, on this occasion,rich wave field information is good to improve our understanding of seismic exploration, seismic wave analysis and understanding. Because the wave field information is rich and complex, it is difficult to identificate effectively multi wave information in multi wave multicomponent seismic exploration.In the article,after in view to study the numerical simulation of wave equation and post stack reverse time migration imaging method principles,on the basis of the constitutive equation, geometric equation and motion differential equations of the paper, I can get the first-order stress in the different media- velocity equation, which in time on the second order spatial 2n order staggered grid difference format. Then using staggered grid finite difference algorithm numerically simulated, analyzing multi wave information of seismic wave in different mediaIn this paper, we propose a modified flux correction(FCT) method based on the conventional flux correction(FCT) method, which is introduced in the finite difference algorithm. In the subsequent simulation examples prove that the optimized FCT method is more effective than the conventional FCT method in eliminating the frequency dispersion, which can effectively improve the accuracy of the numerical simulation, and can better maintain the true wave field characteristics. In order to improve the accuracy, the optimized FCT method is applied to the seismic wave numerical simulation and the post stack inverse time migration.Post stack reverse time migration is based on the wave equation. This paper first introduces the post stack reverse time migration method principles, then deduces the two-way wave time on 4 order space 2n order of high order finite difference format, using the finite difference format to realize stack reverse time migration. Finally, different speed models are established to verify the correctness of the algorithm, the accuracy of the imaging and the effect of the velocity error on the migration imaging.