# Sparsity-Promoting Pseudo-Inverse Born Operator in the Presence of Density Variations: An Efficient MultiParameter Imaging Tool

Abstract : Among different migration algorithms, least-squares reverse-time migration is the preferred choice for quantitative seismic imaging. The applicability of such scheme depends on the derivation of proper pre-conditioners. In the context of extended domain in a pure acoustic media, the pseudo-inverse Born operator is the recommended pre-conditioner, providing quantitative results within a few iterations, but limited to purely velocity variations. Recently, an efficient weighted least-squares approach has been proposed to extend the applicability of the pseudo-inverse Born operator in the presence of density variations. As expected in the case of multi-parameter imaging, the results using this method suffer from crosstalk artifacts. In order to mitigate this issue, we present variable density pseudo-inverse Born operator constrained with $\ell_1$-norm for each model parameter. The fast iterative shrinkage-thresholding algorithm is used to solve the optimization problem. This iterative scheme is based on soft-thresholding method where no wave-based operators are involved. Numerical tests are used to demonstrate the robustness of the proposed method against crosstalk artifacts and sparse shot acquisition geometry.
Document type :
Conference papers

https://hal-mines-paristech.archives-ouvertes.fr/hal-03118610
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Submitted on : Friday, January 22, 2021 - 1:00:34 PM
Last modification on : Wednesday, November 17, 2021 - 12:31:23 PM

### Citation

M. Farshad, Hervé Chauris. Sparsity-Promoting Pseudo-Inverse Born Operator in the Presence of Density Variations: An Efficient MultiParameter Imaging Tool. 82nd EAGE Annual Conference & Exhibition, Jun 2020, Amsterdam, Netherlands. pp.1-5, ⟨10.3997/2214-4609.202011366⟩. ⟨hal-03118610⟩

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