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- W4285170003 abstract "Summary The Marchenko method allows for retrieving Green’s functions from single-sided reflection measurements at the surface. However, this method requires up and down decomposition of the wave fields, which could carry intrinsic limitations, i.e., cannot incorporate evanescent or refracted waves. A strategy to recover the Green’s functions with wave components propagating in all directions has been developed -- including the medium’s evanescent and refracted field response. The Marchenko integral (MI) was originally developed based on the Neumann series solution. However, the Neumann approximate solution does not always have guaranteed convergence. In this work we formulate the MI as a least-squares problem (LSMI) such that it provides a stable solution in cases where the Neumann series approach diverges. The LSMI performance is demonstrated on a synthetic model and results are compared with the conventional MI. The LSMI results show that the application of the MI approaches on seismic data allows to retrieve clean wave fields and with good quality, thus demonstrating that both methods are applicable and effective to retrieve the full Green’s functions including evanescent and refracted waves. However, the constructed snapshots reveal regions where the LSMI solution is slightly better than the conventional solution." @default.
- W4285170003 created "2022-07-14" @default.
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- W4285170003 date "2022-01-01" @default.
- W4285170003 modified "2023-09-27" @default.
- W4285170003 title "A Least-Squares Formulation to Solve the Single-Sided Marchenko Integral for the Full Wave Field" @default.
- W4285170003 doi "https://doi.org/10.3997/2214-4609.202210825" @default.
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