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Generalized linear joint PP–PS inversion based on two constraints

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Abstract

Conventional joint PP—PS inversion is based on approximations of the Zoeppritz equations and assumes constant VP/VS; therefore, the inversion precision and stability cannot satisfy current exploration requirements. We propose a joint PP—PS inversion method based on the exact Zoeppritz equations that combines Bayesian statistics and generalized linear inversion. A forward model based on the exact Zoeppritz equations is built to minimize the error of the approximations in the large-angle data, the prior distribution of the model parameters is added as a regularization item to decrease the ill-posed nature of the inversion, low-frequency constraints are introduced to stabilize the low-frequency data and improve robustness, and a fast algorithm is used to solve the objective function while minimizing the computational load. The proposed method has superior antinoising properties and well reproduces real data.

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Correspondence to Yuan Fang.

Additional information

This research work is supported by the 863 Program of China (No. 2013AA064201).

Fang Yuan is a PhD student at China University of Geoscience (Beijing). His research interests are reservoir prediction and inversion methods.

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Fang, Y., Zhang, FQ. & Wang, YC. Generalized linear joint PP–PS inversion based on two constraints. Appl. Geophys. 13, 103–115 (2016). https://doi.org/10.1007/s11770-016-0527-3

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  • DOI: https://doi.org/10.1007/s11770-016-0527-3

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