Abstract
The traditional pre-stack seismic inversion method can only obtain two parameters of the longitudinal and transverse wave velocities. The traditional inversion method is stable, but has a low accuracy. Additionally, it is difficult to obtain the density information for the traditional method to predict the saturation of the reservoir fluid. In contrast, the pre-stack three-parameter inversion method can reveal the physical properties and hydrocarbon characteristics of underground reservoirs reliably. In order to obtain the longitudinal wave velocity, the shear wave velocity and the density simultaneously, and to improve the inversion stability and resolution, the AVO pre-stack three-parameter inversion is carried out in the Bayesian framework by combining the different scales information, such as well logging, seismic and geologic data. The likelihood function and the prior distribution are used to form the objective function. The prior probability distribution of the inversion parameters is obtained by the well data, and the likelihood function is obtained by the seismic data. The inversion objective function under the Bayesian framework is equivalent to introducing the regularization item into the traditional inversion problem, which can make the inversion of the seismic wave velocities and density of more stable. The inversion test based on the model and the actual data prove that the inversion method described in this paper can improve the multi-solution problem of inversion by using the information of different frequency bands. At the same time, it has a high stability and a certain practical value.
Copyright 2019, IFEDC Organizing Committee.
This paper was prepared for presentation at the 2019 International Field Exploration and Development Conference in Xi’an, China, 16–18 October, 2019.
This paper was selected for presentation by the IFEDC Committee following review of information contained in an abstract submitted by the author(s). Contents of the paper, as presented, have not been reviewed by the IFEDC Technical Team and are subject to correction by the author(s). The material does not necessarily reflect any position of the IFEDC Technical Committee its members. Papers presented at the Conference are subject to publication review by Professional Team of IFEDC Technical Committee. Electronic reproduction, distribution, or storage of any part of this paper for commercial purposes without the written consent of IFEDC Organizing Committee is prohibited. Permission to reproduce in print is restricted to an abstract of not more than 300 words; illustrations may not be copied. The abstract must contain conspicuous acknowledgment of IFEDC. Contact email: paper@ifedc.org.
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References
Bortfeld, R.: Approximation to the reflection and transmission coefficients of plane longitudinal and transverse waves. Geophys. Prospect. 9(4), 485–502 (1961)
Aki, K.I., Richards, P.G.: Quantitative Seismology: Theory and Methods, pp. 144–154. W H Freeman and Co., Cambridge (1980)
Shuey, R.T.: A simplication of the Zoeppritz equations. Geophysics 50(50), 609–614 (1985)
Smith, G.C., Gidlow, P.M.: Weighted stacking for rock property estimation and detection of gas. Geophys. Prospect. 35(9), 993–1014 (2010)
Fatti, J.L.: Detection of gas in sandstone reservoirs using AVO analysis: a 3-D seismic case history using the Geostack technique. Geophysics 59(59), 1362–1376 (1994)
Wiggins, R., Kenny, G.S., Mcclure, C.D.: Common-depth-point method for determining and displaying the shear-velocity reflectivities of a geologic formation: US, US 4534019A (1985)
Van Riel, P., Berkhout, A.J.: Resolution in seismic trace inversion by parameter estimation. Geophysics 50(9), 1440–1455 (1985)
Simmons, J.L., Backus, M.M.: Waveform-based AVO inversion and AVO prediction error. Geophysics 61(6), 1575–1588 (1996)
Grion, S., Mazzotti, A., Spagnolini, U.: Joint estimation of AVO and kinematic parameters. Geophys. Prospect. 46(4), 405–422 (2010)
Connolly, P.: Elastic impedance. Lead. Edge 18(4), 438 (2012)
Buland, A., Omre, H.: Bayesian linearized AVO inversion. Geophysics 68(1), 185–198 (2003)
Downton, J.E.: Seismic parameter estimation from AVO inversion (2005)
Mallick, S.: Model-based inversion of amplitude variations with offset data using a genetic algorithm. Geophysics 60(4), 939–954 (1995)
Kuzma, H.A., Rector, J.W.: Non-linear AVO inversion using support vector machines. SEG Tech. Program Expanded Abstracts 23(1), 2586 (2004)
Sen, M.K., Stoffa, P.L.: Global Optimization Methods in Geophysical Inversion. Cambridge University Press, Cambridge (2013)
Stoffa, P.L., Sen, M.K.: Nonlinear multiparameter optimization using genetic algorithms. Geophysics 56(11), 1794–1810 (1991)
Yin, X.Y.: Three-parameter AVO waveform inversion based on Bayesian theorem Chinese. J. Geophys. 50(4), 1251–1260 (2007). (in Chinese)
Ma, J.: Forward modeling and inversion method of generalized elastic impedance in seismic exploration. Chin. J. Geophys. 46(1), 118–124 (2003)
Wang, H., Zhang, Y.: Model-based multi-parameters non-linear inversion method in pre-stack domain. Lithol. Reserv. 20(2), 108–113 (2008)
Yin, H.: The Study on Methods of AVO Pre-stack Inversion. China University of Petroleum (East China), Qingdao (2008)
Yang, P.J., Yin, X.Y.: Non-linear quadratic programming Bayesian pre-stack inversion. Geophys. China 51(6), 1876–1882 (2008)
Yang, D.K., Hu, X.Y.: Inversion of noisy data by probabilistic method. Geophys. China 51(3), 901–907 (2008)
Zhang, S.X., Yin, X.Y., Zhang, F.C.: Pre-stack three term inversion method based on Trivariate Cauchy distribution prior constraint. Oil Geophys. Prospect. 46(5), 737–743 (2011)
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Li, Q., Ban, Xa., Zhao, Pr., Yu, Xc. (2020). Pre-stack Three-Parameter Seismic Inversion Method Based on Bayesian Theory. In: Lin, J. (eds) Proceedings of the International Field Exploration and Development Conference 2019. IFEDC 2019. Springer Series in Geomechanics and Geoengineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-2485-1_301
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