Petroleum Exploration and Development >
Prediction method of physical parameters based on linearized rock physics inversion
Received date: 2019-04-10
Revised date: 2020-01-02
Online published: 2020-02-19
Supported by
Supported by the China National Science and Technology Major Project(2017ZX05049-002);Supported by the China National Science and Technology Major Project(2016ZX05027004-001);the National Natural Science Foundation of China(41874146);the National Natural Science Foundation of China(41674130);Fundamental Research Funds for the Central University(18CX02061A);Innovative Fund Project of China National Petroleum Corporation(2016D-5007-0301);Scientific Research & Technology Development Project of China National Petroleum Corporation(2017D-3504)
A linearized rock physics inversion method is proposed to deal with two important issues, rock physical model and inversion algorithm, which restrict the accuracy of rock physics inversion. In this method, first, the complex rock physics model is expanded into Taylor series to get the first-order approximate expression of the inverse problem of rock physics; then the damped least square method is used to solve the linearized rock physics inverse problem directly to get the analytical solution of the rock physics inverse problem. This method does not need global optimization or random sampling, but directly calculates the inverse operation, with high computational efficiency. The theoretical model analysis shows that the linearized rock physical model can be used to approximate the complex rock physics model. The application of actual logging data and seismic data shows that the linearized rock physics inversion method can obtain accurate physical parameters. This method is suitable for linear or slightly non-linear rock physics model, but may not be suitable for highly non-linear rock physics model.
Jiajia ZHANG , Xingyao YIN , Guangzhi ZHANG , Yipeng GU , Xianggang FAN . Prediction method of physical parameters based on linearized rock physics inversion[J]. Petroleum Exploration and Development, 2020 , 47(1) : 59 -67 . DOI: 10.1016/S1876-3804(20)60005-2
| [1] | GAN Lideng, WANG Yaojun, LUO Xianzhe , et al. A permeability prediction method based on pore structure and lithofacies. Petroleum Exploration and Development, 2019,46(5):883-890. |
| [2] | CONNOLLY P . Elastic impedance. The Leading Edge, 1999,18(4):438-452. |
| [3] | RUSSELL B . Introduction to seismic inversion methods. Tulsa: SEG, 1988. |
| [4] | YANG Hua, WANG Daxing, ZHANG Mengbo , et al. Seismic prediction method of pore fluid in tight gas reservoirs, Ordos Basin, NW China. Petroleum Exploration and Development, 2017,44(4):513-520. |
| [5] | ZENG Qingcai, CHEN Sheng, HE Pei , et al. Quantitative seismic prediction of shale gas sweet spots in Lower Silurian Longmaxi Formation, Weiyuan area, Sichuan Basin, SW China. Petroleum Exploration and Development, 2018,45(3):406-414. |
| [6] | SALTZER R, FINN C, BURTZ O . Predicting shale and porosity using cascaded seismic and rock physics inversion. SEG Technical Program Expanded Abstracts, 2005: 732-736. |
| [7] | DOYEN P . Seismic reservoir characterization: An earth modelling perspective. Houten: EAGE, 2007. |
| [8] | HU Huafeng, YIN Xingyao, WU Guochen . Joint inversion of petrophysical parameters based on Bayesian classification. Geophysical Prospecting for Petroleum, 2012,52(3):225-232. |
| [9] | MAVKO G, MUKERJI T, DVORKIN J. The rock physics handbook. London: Cambridge University Press, 2009. |
| [10] | AVSETH P, MUKERJI T, MAVKO G. Quantitative seismic interpretation. London: Cambridge University Press, 2005. |
| [11] | YIN Xingyao, CUI Wei, ZONG Zhaoyun , et al. Petrophysical property inversion of reservoirs based on elastic impedance. Chinese Journal of Geophysics, 2014,57(12):4132-4140. |
| [12] | LIN Tian, MENG Xiaohong, ZHANG Zhifu . The petrophysical parameter inversion method based on constrained least squares and trust region approach. Chinese Journal of Geophysics, 2017,60(10):3969-3983. |
| [13] | DVORKIN J, NUR A, YIN H . Effective properties of cemented granular materials. Mechanics of Materials, 1994,18:351-366. |
| [14] | BOSCH M, CARVAJAL C, RODRIGUES J , et al. Petrophysical seismic inversion conditioned to well-log data: Methods and application to a gas reservoir. Geophysics, 2009,74(2):O1-O15. |
| [15] | GRANA D . Bayesian inversion methods for seismic reservoir characterization and time-lapse studies. Stanford: Stanford University, 2013. |
| [16] | LI Hongbing, ZHANG Jiajia . A differential effective medium model of multiple-porosity rock and its analytical approximations for dry rock. Chinese Journal of Geophysics, 2014,57(10):3422-3430. |
| [17] | BACHRACH R, DUTTA N . Joint estimation of porosity and saturation using stochastic rock-physics modeling. SPE 89991, 2006. |
| [18] | SPIKES K, MUKERJI T, DVORKIN J , et al. Probabilistic seismic inversion based on rock-physics models. Geophysics, 2007,72(5):R87-R97. |
| [19] | WYLLIE M R J, GREGORY A R, GARDNER L W . Elastic wave velocities in heterogeneous and porous media. Geophysics, 1956,21(1):41-70. |
| [20] | DENG Jixin, WANG Shangxu . Joint inversion of saturation and porosity in gas reservoirs based on statistical rock physics. Journal of Oil and Gas Technology, 2009,31(1):48-52. |
| [21] | GRANA D, ROSSA E D . Probabilistic petrophysical-properties estimation integrating statistical rock physics with seismic inversion. Geophysics, 2010,75(3):O21-O37. |
| [22] | GRANA D . Bayesian linearized rock-physics inversion. Geophysics, 2016,81(6):D625-D641. |
| [23] | LI Hongbing, ZHANG Jiajia . Well log and seismic data analysis for complex pore-structure carbonate reservoir using 3D rock physics templates. Journal of Applied Geophysics, 2018,151:175-183. |
| [24] | YANG Peijie . Porosity and water saturation simultaneous inversion for sand-mudstone reservoir. Chinese Journal of Geophysics, 2018,61(2):673-682. |
| [25] | GASSMANN F . über die elastizit?t por?ser medien. Vier der Natur Gesellschaft Zürich, 1951,96:1-23. |
| [26] | NUR A . Critical porosity and the seismic velocities in rocks. EOS, Transactions American Geophysical Union, 1992,73:43-66. |
| [27] | RAYMER L L, HUNT E R, GARDNER J S . An improved sonic transit time-to-porosity transform. Tulsa: SPWLA, 1980. |
| [28] | URSIN B, STOVAS A . Travel time approximations for a layered transversely isotropic medium. Geophysics, 2006,71(2):D23-D33. |
| [29] | HILL R . The elastic behavior of crystalline aggregate. Proceedings of the Physical Society, 1952,65(5):349-354. |
| [30] | ZHANG Jiajia, LI Hongbing, YAO Fengchang . Rock critical porosity inversion and S-wave velocity prediction. Applied Geophysics, 2012,9(1):57-64. |
| [31] | HAMPSON D P, RUSSELL B H . Simultaneous inversion of pre-stack seismic data. Houston: SEG Technical Program Expanded Abstracts, 2005: 1633-1637. |
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