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De–Primary TTI–RTM Using the P–Pure Analytical Wavefield
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 81st EAGE Conference and Exhibition 2019, Jun 2019, Volume 2019, p.1 - 5
Abstract
Summary
Based on the relation between the real and imaginary components of the analytical wavefield, an im- proved scheme to construct its imaginary part by solving the TTI pure–P wave equation only once is proposed in this work. Our scheme requires the calculation of the first time derivative of the real wave- field and the application of the inverse of a pseudo–differential operator. For time extrapolation of the real wavefield and its first order time derivative, we employed the rapid expansion method, which is unconditionally stable and free of numerical noise. To apply the spatial and spectral terms of the inverse pseudo–differential operator in an explicit manner, the definition of the wavefront propagation direction is introduced. The proposed method can improve the computation of analytical wavefield, therefore, separate the wavefield into down– and up–going components for each time step in an explicit way. This allows us to employ the causal imaging condition for TTI–RTM practical applications. Moreover, the de–primary migration result shows that it successfully remove the low–wavenumber artifacts typical from conventional RTM.
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