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| Lowrank finite difference on a staggered grid and its application on reverse time migration |
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FANG Gang1, FOMEL Sergey2, DU Qi-zhen1
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(1.School of Geosciences in China University of Petroleum, Qingdao 266580, China;2.Bureau of Economic Geology, John A. and Katherine G. Jackson School of Geosciences, The University of Texas at Austin, Austin, Texas 78731, USA)
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| Abstract: |
| Staggered grid Lowrank finite difference method was developed and the relationship between its accuracy and dispersion was analyzed. Staggered grid Lowrank finite difference designs Lowrank finite difference coefficients on a staggered grid to match the spectral response of the mix-domain propagation operator. The method was then applied in reverse time migration to build seismic wavefield as well as deal with PML boundary condition. The implementation steps in reverse time migration were also illustrated, and the method was verified with complex models. Dispersion analysis indicates that the method can match the dispersion relation for a wide range of wavenumbers with improved accuracy and stability. Numerical results show that the proposed method can be used to accurately image complex subsurface structures without increasing the computational cost. |
| Key words: reverse time migration seismic wavefield extrapolation Lowrank decomposition finite difference staggered grid |
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