Non-overlapped P- and S-wave Poynting vectors and its solution on Grid Method
KAUST DepartmentPhysical Sciences and Engineering (PSE) Division
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AbstractPoynting vector represents the local directional energy flux density of seismic waves in geophysics. It is widely used in elastic reverse time migration (RTM) to analyze source illumination, suppress low-wavenumber noise, correct for image polarity and extract angle-domain common imaging gather (ADCIG). However, the P and S waves are mixed together during wavefield propagation such that the P and S energy fluxes are not clean everywhere, especially at the overlapped points. In this paper, we use a modified elastic wave equation in which the P and S vector wavefields are naturally separated. Then, we develop an efficient method to evaluate the separable P and S poynting vectors, respectively, based on the view that the group velocity and phase velocity have the same direction in isotropic elastic media. We furthermore formulate our method using an unstructured mesh based modeling method named the grid method. Finally, we verify our method using two numerical examples.
CitationLu YM, Liu Q (2017) Non-overlapped P- and S-wave Poynting vectors and its solution on Grid Method. Journal of Geophysics and Engineering. Available: http://dx.doi.org/10.1088/1742-2140/aaa0f1.
SponsorsWe thank the National Natural Science Fund of China (under grant 41330316) for supporting this work.