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《Chinese Journal of Geophysics》 2019-01
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The energy cross-correlation imaging condition based on first-order elastic wave equations

ZHANG XiaoYu;DU QiZhen;ZHANG ShuKui;GONG XuFei;School of Geoscience,China University of Petroleum (East China);Laboratory for Marine Mineral Resource,Qingdao National Laboratory for Marine Science and Technology;  
The energy cross-correlation imaging condition,which takes the advantages of easy realization and suppressing the backscattering effectively,permits to generate images with definite physical meanings.However,such a condition designed by the second-order elastic wave equation cannot be used directly in the first-order elastic wave equation.To solve this problem,based on the energy conservation theorem and energy density,we construct an energy norm characterized by velocity-stress fields,representing the elastic wavefield energy.As for the source wavefield and the receive wavefield,we extend the velocity-stress energy norm to the energy inner product.Combined with the propagation direction of the forward and backward velocity-stress fields,the energy cross-correlation imaging condition is proposed to attenuate the backscattering.Numerical experiments indicate that this condition allow us to extract the results of reflected wavefield energy without extra computation and to suppress backscattering noise effectively.
【Fund】: 国家自然科学基金(41574125 41774139);; 国家科技重大专项(2017ZX05018-005)联合资助
【CateGory Index】: P631.4
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