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Essential consistency of pressure Poisson equation method and projection method on staggered grids

Applied Mathematics and Mechanics(English Edition) 2011年第6期32卷 789-794页

作者：王艺 Beijing Key Laboratory of Urban Oil and Gas Distribution Technology China University of Petroleum-Beijing

A new pressure Poisson equation method with viscous terms is established on staggered grids. The derivations show that the newly established pressure equation has the identical equation form in the projection method. The results show that the two methods have the same velocity and pressure values except slight differences in the CPU time.

关键词： pressure Poisson equation projection method numerical analysis staggeredgrid computational fluid dynamics

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P-and S-wavefield simulations using both the firstand second-order separated wave equations through a high-order staggered grid finite-difference method

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Earthquake Science 2013年第2期26卷 83-98页

作者： Chao-ying Bai Xin Wang Cai-xia Wang Department of Geophysics College of Geology Engineering and Geomatics Chang'an University Institute of Computing Geophysics Chang'an University

In seismic exploration, it is common practice to separate the P-wavefield from the S-wavefield by the elastic wavefield decomposition technique, for imaging purposes. However, it is sometimes difficult to achieve this, especially when the velocity field is complex. A useful approach in multi-component analysis and modeling is to directly solve the elastic wave equations for the pure P- or S-wavefields, referred as the separate elastic wave equa- tions. In this study, we compare two kinds of such wave equations： the first-order （velocity-stress） and the second- order （displacement-stress） separate elastic wave equa- tions, with the first-order （velocity-stress） and the second- order （displacement-stress） full （or mixed） elastic wave equations using a high-order staggered grid finite-differ- ence method. Comparisons are given of wavefield snap- shots, common-source gather seismic sections, and individual synthetic seismogram. The simulation tests show that equivalent results can be obtained, regardless of whether the first-order or second-order separate elastic wave equations are used for obtaining the pure P- or S-wavefield. The stacked pure P- and S-wavefields are equal to the mixed wave fields calculated using the corre- sponding first-order or second-order full elastic wave equations. These mixed equations are computationallyslightly less expensive than solving the separate equations. The attraction of the separate equations is that they achieve separated P- and S-wavefields which can be used to test the efficacy of wave decomposition procedures in multi-com- ponent processing. The second-order separate elastic wave equations are a good choice because they offer information on the pure P-wave or S-wave displacements.

关键词： Finite-difference method staggeredgrid First-order separate elastic wave equation Second-order separate elastic wave equation Multiple arrival tracking

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