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APPLIED GEOPHYSICS  2016, Vol. 13 Issue (1): 103-115    DOI: 10.1007/s11770-016-0527-3
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Generalized linear joint PP–PS inversion based on two constraints
Fang Yuan1, Zhang Feng-Qi2, and Wang Yan-Chun1
1. Key laboratory of Geodetection (China University of Geosciences (Beijing)), Ministry of Education, Beijing 100083, China).
2. Petroleum Exploration and Production Research Institute, Beijing 100083, China.
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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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Fang Yuan
Zhang Feng-Qi
Wang Yan-Chun
Key wordsjoint PP–PS inversion   Zoeppritz equations   generalized linear inversion   Bayesian statistics   low-frequency constraints     
Received: 2015-09-11;
Fund:

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

Cite this article:   
Fang Yuan,Zhang Feng-Qi,Wang Yan-Chun. Generalized linear joint PP–PS inversion based on two constraints[J]. APPLIED GEOPHYSICS, 2016, 13(1): 103-115.
 
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