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.
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.
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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