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L (sub 1-2) minimization for P- and S-impedance inversion

Nie Wenliang, Wen Xiaotao, Yang Jixin, He Jian, Lin Kai and Yang Longcheng
L (sub 1-2) minimization for P- and S-impedance inversion
Interpretation (Tulsa) (May 2020) 8 (2): T379-T390


Amplitude variation with offset (AVO) inversion has been widely used in reservoir characterization to predict lithology and fluids. However, some existing AVO inversion methods that use L1 norm regularization may not obtain the block boundary of subsurface layers because the AVO inversion is a severely ill-posed problem. To obtain sparse and accurate solutions, we have introduced the L (sub 1-2) minimization method as an alternative to L (sub 1) norm regularization. We used L (sub 1-2) minimization for simultaneous P- and S-impedance inversion from prestack seismic data. We first derived the forward problem with multiangles and set up the inversion objective function with constraints of a priori low-frequency information obtained from well-log data. Then, we introduced minimization of the difference of L (sub 1) and L (sub 2) norms, denoted as L (sub 1-2) minimization, to solve this objective function. The nonconvex penalty function of the L (sub 1-2) minimization method is decomposed into two convex subproblems via the difference of convex algorithm, and each subproblem is solved by the alternating direction method of multipliers. Compared to L (sub 1) norm regularization, the results indicate that L (sub 1-2) minimization has superior performance over L1 norm regularization in promoting blocky/sparse solutions. Tests on synthetic and field data indicate that our method can provide sparser and more accurate P- and S-impedance inversion results. The overall results confirm that our method has great potential in the detection and identification of fluids.

ISSN: 2324-8858
EISSN: 2324-8866
Serial Title: Interpretation (Tulsa)
Serial Volume: 8
Serial Issue: 2
Title: L (sub 1-2) minimization for P- and S-impedance inversion
Affiliation: Chengdu University of Technology, Laboratory of Oil and Gas Reservoir Geology and Exploitation, Chengdu, China
Pages: T379-T390
Published: 202005
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 32
Accession Number: 2020-039403
Categories: Applied geophysicsEconomic geology, geology of energy sources
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus. incl. 1 table, sects.
N19°00'00" - N22°00'00", E112°00'00" - E116°00'00"
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2020, American Geosciences Institute. Reference includes data from GeoScienceWorld, Alexandria, VA, United States. Reference includes data supplied by Society of Exploration Geophysicists, Tulsa, OK, United States
Update Code: 2020
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