Applied Geophysics

, Volume 13, Issue 1, pp 103–115 | Cite as

Generalized linear joint PP–PS inversion based on two constraints

  • Yuan Fang
  • Feng-Qi Zhang
  • Yan-Chun Wang


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.


joint PP—PS inversion Zoeppritz equations generalized linear inversion Bayesian statistics low-frequency constraints 


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Copyright information

© Editorial Office of Applied Geophysics and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Key laboratory of Geodetection (China University of Geosciences (Beijing))Ministry of EducationBeijingChina
  2. 2.Petroleum Exploration and Production Research InstituteBeijingChina

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