Prestack AVA inversion of exact Zoeppritz equations based on modified Trivariate Cauchy distribution
Obtaining interlayer weak reflection information that helps identify properties and accurate density information from complex and elusive reservoirs is particularly important for reservoir characterization and detection. However, conventional prestack amplitude variation with incidence angle inversi...
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| Vydáno v: | Journal of applied geophysics Ročník 138; s. 80 - 90 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier B.V
01.03.2017
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| ISSN: | 0926-9851, 1879-1859 |
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| Abstract | Obtaining interlayer weak reflection information that helps identify properties and accurate density information from complex and elusive reservoirs is particularly important for reservoir characterization and detection. However, conventional prestack amplitude variation with incidence angle inversion method is strongly influenced by the accuracy of the approximate Zoeppritz equations, which suppresses weak reflections coming from the commonly used prior distribution. In this paper, we address these problems by using exact Zoeppritz equations. First, the objective function of the inverse problem was constructed and the modified Cauchy distribution was introduced as the prior information by utilizing Bayes' theorem. In the complicated objective function, the forward operators are the sophisticated and nonlinear Zoeppritz equations with respect to estimate parameters. We then combined the idea of generalized linear inversion with iterative reweighed least-squares algorithm in order to solve the problem. Generalized linear inversion was used to solve the objective function, from which a nonlinear solution of the model parameters' perturbations can be calculated. The iterative reweighed least-squares algorithm was applied to solve the nonlinear expression in an attempt to obtain an updated iterative formula of the model parameters. Therefore the prestack amplitude variation with incidence angle inversion was able to be performed in order to better characterize a reservoir. Both synthetic and field data examples show that the new method can not only directly inverse P-wave velocity, S-wave velocity and density, but also provides accurate estimation results, particularly for density. The introduction of the modified Trivariate Cauchy prior constraints effectively estimated and inverted elastic parameters of weak reflections. Both examples demonstrated the feasibility and effectiveness of the proposed method.
•We construct objective function of Zoeppritz equation AVA inversion based on modified Cauchy distribution.•We use the idea of GLI and the IRLS algorithm to solve the objective function.•The method can obtain P- and S-wave velocity and density inverted results with high accuracy, particularly for density.•The method performs better in aspect of using far-offset information, joint inversion and noise suppression. |
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| AbstractList | Obtaining interlayer weak reflection information that helps identify properties and accurate density information from complex and elusive reservoirs is particularly important for reservoir characterization and detection. However, conventional prestack amplitude variation with incidence angle inversion method is strongly influenced by the accuracy of the approximate Zoeppritz equations, which suppresses weak reflections coming from the commonly used prior distribution. In this paper, we address these problems by using exact Zoeppritz equations. First, the objective function of the inverse problem was constructed and the modified Cauchy distribution was introduced as the prior information by utilizing Bayes' theorem. In the complicated objective function, the forward operators are the sophisticated and nonlinear Zoeppritz equations with respect to estimate parameters. We then combined the idea of generalized linear inversion with iterative reweighed least-squares algorithm in order to solve the problem. Generalized linear inversion was used to solve the objective function, from which a nonlinear solution of the model parameters' perturbations can be calculated. The iterative reweighed least-squares algorithm was applied to solve the nonlinear expression in an attempt to obtain an updated iterative formula of the model parameters. Therefore the prestack amplitude variation with incidence angle inversion was able to be performed in order to better characterize a reservoir. Both synthetic and field data examples show that the new method can not only directly inverse P-wave velocity, S-wave velocity and density, but also provides accurate estimation results, particularly for density. The introduction of the modified Trivariate Cauchy prior constraints effectively estimated and inverted elastic parameters of weak reflections. Both examples demonstrated the feasibility and effectiveness of the proposed method.
•We construct objective function of Zoeppritz equation AVA inversion based on modified Cauchy distribution.•We use the idea of GLI and the IRLS algorithm to solve the objective function.•The method can obtain P- and S-wave velocity and density inverted results with high accuracy, particularly for density.•The method performs better in aspect of using far-offset information, joint inversion and noise suppression. |
| Author | Li, Jingye Liu, Xingye Chen, Li Zhou, Lin Chen, Xiaohong |
| Author_xml | – sequence: 1 givenname: Lin orcidid: 0000-0002-8997-5052 surname: Zhou fullname: Zhou, Lin email: ljy3605@sina.com organization: State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing, China – sequence: 2 givenname: Jingye surname: Li fullname: Li, Jingye organization: State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing, China – sequence: 3 givenname: Xiaohong surname: Chen fullname: Chen, Xiaohong organization: State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing, China – sequence: 4 givenname: Xingye surname: Liu fullname: Liu, Xingye organization: State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing, China – sequence: 5 givenname: Li surname: Chen fullname: Chen, Li organization: State Key Laboratory of Petroleum Resources and Prospecting, China University of Petroleum, Beijing, China |
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| Cites_doi | 10.1190/1.3462777 10.1190/1.1444462 10.1190/1.3554627 10.1002/cjg2.1481 10.1190/geo2015-0104.1 10.1190/1.1543206 10.1190/1.1487311 10.1016/0926-9851(96)00017-1 10.1190/1.1442046 10.1016/j.cageo.2006.08.012 10.1190/1.3386676 10.1016/S0926-9851(00)00031-8 10.1190/1.1441497 10.1007/s11770-009-0018-x |
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| Keywords | Exact Zoeppritz equations Generalized linear inversion (GLI) Iterative reweighed least-squares (IRLS) algorithm Modified Trivariate Cauchy distribution Bayesian inversion |
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| SubjectTerms | Bayesian inversion Exact Zoeppritz equations Generalized linear inversion (GLI) Iterative reweighed least-squares (IRLS) algorithm Modified Trivariate Cauchy distribution |
| Title | Prestack AVA inversion of exact Zoeppritz equations based on modified Trivariate Cauchy distribution |
| URI | https://dx.doi.org/10.1016/j.jappgeo.2017.01.009 |
| Volume | 138 |
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