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Basis Pursuit Anisotropic Inversion Based on the L1–L2-Norm Regularization | IEEE Journals & Magazine | IEEE Xplore

Basis Pursuit Anisotropic Inversion Based on the L1L2-Norm Regularization


Abstract:

Prestack seismic inversion for VTI media (transversely isotropic with vertical axis of symmetry) is a technique that can be useful to obtain the properties (velocity, den...Show More

Abstract:

Prestack seismic inversion for VTI media (transversely isotropic with vertical axis of symmetry) is a technique that can be useful to obtain the properties (velocity, density, and anisotropy parameters) of shale reservoirs. Since conventional inversion with smooth constraints (e.g., L_{2} -norm) is not appropriate, we propose a basis pursuit inversion (BPI) extended to VTI media, where: 1) we decompose the five elasticities into basis pursuit pairs by a dipole decomposition; 2) instead of the commonly used L_{1} -norm, the L_{1}L_{2} is implemented as a regularization constraint to achieve higher resolution and stability; and 3) alternating direction method of multipliers (ADMM) is used to obtain the solutions. Since the problem is highly ill-posed, we perform the inversion using PP and PS multicomponent seismic data. The examples (synthetic and real data) verify the higher resolution and better antinoise performance of the proposed method.
Published in: IEEE Geoscience and Remote Sensing Letters ( Volume: 19)
Article Sequence Number: 8011105
Date of Publication: 07 May 2021

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