Generalized linear joint PP–PS inversion based on two constraints |
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| Authors: | Yuan Fang Feng-Qi Zhang Yan-Chun Wang |
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| Institution: | 1.Key laboratory of Geodetection (China University of Geosciences (Beijing)),Ministry of Education,Beijing,China;2.Petroleum Exploration and Production Research Institute,Beijing,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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