石油勘探与开发 >

2020 , Vol. 47 >Issue 1: 57 - 64

DOI: https://doi.org/10.11698/PED.2020.01.05

油气勘探

基于线性化岩石物理反演的物性参数预测方法

  • 张佳佳 ,
  • 印兴耀 ,
  • 张广智 ,
  • 谷一鹏 ,
  • 樊祥刚
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  • 1. 中国石油大学（华东）地球科学与技术学院,山东青岛 266580;
    2. 深层油气地质与勘探教育部重点实验室,山东青岛 266580;
    3. 海洋国家实验室海洋矿产资源评价与探测技术功能实验室,山东青岛 266071
张佳佳（1986-）,男,湖北随州人,博士,中国石油大学（华东）讲师,主要从事地震岩石物理和地震储集层预测研究。地址：山东省青岛市长江西路66号,中国石油大学（华东）地球科学与技术学院,邮政编码：266580。E-mail：zhangjj@upc.edu.cn

收稿日期: 2019-04-10

  网络出版日期: 2020-01-17

基金资助

国家油气重大专项（2017ZX05049-002,2016ZX05027004-001）; 国家自然科学基金（41874146,41674130）; 中央高校基础研究业务费专项基金（18CX02061A）; 中国石油科技创新基金（2016D-5007-0301）; 中国石油科学研究与技术开发项目（2017D-3504）

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Prediction method of physical parameters based on linearized rock physics inversion

  • ZHANG Jiajia ,
  • YIN Xingyao ,
  • ZHANG Guangzhi ,
  • GU Yipeng ,
  • FAN Xianggang
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  • 1. School of Geosciences, China University of Petroleum (East China), Qingdao 266580, China;
    2. Key Laboratory of Deep Oil and Gas Geology and Exploration, Ministry of Education, Qingdao 266580, China;
    3. Laboratory for Marine Mineral Resources, Qingdao National Laboratory for Marine Science and Technology, Qingdao 266071, China

Received date: 2019-04-10

  Online published: 2020-01-17

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摘要

针对制约岩石物理反演精度的两个关键问题：岩石物理模型和反演算法,提出了一种线性化岩石物理反演方法。首先,对复杂岩石物理模型进行泰勒展开,得到岩石物理反演问题的一阶近似表达式;然后,利用阻尼最小二乘算法直接求解线性化的岩石物理反演问题,获得岩石物理反演问题的解析解。该方法不需要全局寻优或者随机抽样,而是直接求逆运算,计算效率高。理论模型分析表明,线性化岩石物理模型可以用来近似表示复杂岩石物理模型。实际测井数据和地震数据应用表明,线性化岩石物理反演方法可以获得较为准确的物性参数。该方法适用于线性或轻微非线性的岩石物理模型,对于高度非线性岩石物理模型可能不适应。图8参31

关键词： 岩石物理反演; 线性化; 物性参数; 岩石物理模型; 泰勒展开

本文引用格式

张佳佳 , 印兴耀 , 张广智 , 谷一鹏 , 樊祥刚 . 基于线性化岩石物理反演的物性参数预测方法[J]. 石油勘探与开发, 2020 , 47(1) : 57 -64 . DOI: 10.11698/PED.2020.01.05

Abstract

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 more 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.

Key words： rock physics inversion; linearization; physical parameters; rock physics model; Taylor expansion

参考文献

[1] 甘利灯, 王峣钧, 罗贤哲, 等. 基于孔隙结构参数的相控渗透率地震预测方法[J]. 石油勘探与开发, 2019, 46(5): 883-890.
GAN Lideng, WANG Yaojun, LUO Xianzhe, et al.A permeability prediction method based on pore structure and lithofacies[J]. Petroleum Exploration and Development, 2019, 46(5): 883-890.
[2] CONNOLLY P.Elastic impedance[J]. The Leading Edge, 1999, 18(4): 438-452.
[3] RUSSELL B.Introduction to seismic inversion methods[R]. Tulsa: SEG, 1988.
[4] 杨华, 王大兴, 张盟勃, 等. 鄂尔多斯盆地致密气储集层孔隙流体地震预测方法[J]. 石油勘探与开发, 2017, 44(4): 513-520.
YANG Hua, WANG Daxing, ZHANG Mengbo, et al.Seismic prediction method of pore fluid in tight gas reservoirs, Ordos Basin, NW China[J]. Petroleum Exploration and Development, 2017, 44(4): 513-520.
[5] 曾庆才, 陈胜, 贺佩, 等. 四川盆地威远龙马溪组页岩气甜点区地震定量预测[J]. 石油勘探与开发, 2018, 45(3): 406-414.
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[J]. 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[R]. SEG Technical Program Expanded Abstracts, 2005: 732-736.
[7] DOYEN P.Seismic reservoir characterization: An earth modelling perspective[R]. Houten: EAGE, 2007.
[8] 胡华锋, 印兴耀, 吴国忱. 基于贝叶斯分类的储层物性参数联合反演方法[J]. 石油物探, 2012, 52(3): 225-232.
HU Huafeng, YIN Xingyao, WU Guochen.Joint inversion of petrophysical parameters based on Bayesian classification[J]. Geophysical Prospecting for Petroleum, 2012, 52(3): 225-232.
[9] MAVKO G, MUKERJI T, DVORKIN J.The rock physics handbook[M]. London: Cambridge University Press, 2009.
[10] AVSETH P, MUKERJI T, MAVKO G.Quantitative seismic interpretation[M]. London: Cambridge University Press, 2005.
[11] 印兴耀, 崔维, 宗兆云, 等. 基于弹性阻抗的储层物性参数预测方法[J]. 地球物理学报, 2014, 57(12): 4132-4140.
YIN Xingyao, CUI Wei, ZONG Zhaoyun et al. Petrophysical property inversion of reservoirs based on elastic impedance[J]. Chinese Journal of Geophysics, 2014, 57(12): 4132-4140.
[12] 林恬, 孟小红, 张致付. 基于约束最小二乘与信赖域的储层参数反演方法[J]. 地球物理学报, 2017, 60(10): 3969-3983.
LIN Tian, MENG Xiaohong, ZHANG Zhifu.The petrophysical parameter inversion method based on constrained least squares and trust region approach[J]. Chinese Journal of Geophysics, 2017, 60(10): 3969-3983.
[13] DVORKIN J, NUR A, YIN H.Effective properties of cemented granular materials[J]. 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[J]. Geophysics, 2009, 74(2): O1-O15.
[15] GRANA D.Bayesian inversion methods for seismic reservoir characterization and time-lapse studies[D]. Stanford: Stanford University, 2013.
[16] 李宏兵, 张佳佳. 多重孔岩石微分等效介质模型及其干燥情形下的解析近似式[J]. 地球物理学报, 2014, 57(10): 3422-3430.
LI Hongbing, ZHANG Jiajia.A differential effective medium model of multiple-porosity rock and its analytical approximations for dry rock[J]. 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[J]. SPE 89991, 2006.
[18] SPIKES K, MUKERJI T, DVORKIN J, et al.Probabilistic seismic inversion based on rock-physics models[J]. 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[J]. Geophysics, 1956, 21(1): 41-70.
[20] 邓继新, 王尚旭. 基于统计岩石物理的含气储层饱和度与孔隙度联合反演[J]. 石油天然气学报, 2009, 31(1): 48-52.
DENG Jixin, WANG Shangxu.Joint inversion of saturation and porosity in gas reservoirs based on statistical rock physics[J]. 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[J]. Geophysics, 2010, 75(3): O21-O37.
[22] GRANA D.Bayesian linearized rock-physics inversion[J]. 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[J]. Journal of Applied Geophysics, 2018, 151: 175-183.
[24] 杨培杰. 泥岩储层孔隙度和含水饱和度同步反演[J]. 地球物理学报, 2018, 61(2): 673-682.
YANG Peijie.Porosity and water saturation simultaneous inversion for sand-mudstone reservoir[J]. Chinese Journal of Geophysics, 2018, 61(2): 673-682.
[25] GASSMANN F.Über die elastizität poröser medien[J]. Vier der Natur Gesellschaft Zürich, 1951, 96: 1-23.
[26] NUR A.Critical porosity and the seismic velocities in rocks[J]. 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[R]. Tulsa: SPWLA, 1980.
[28] URSIN B, STOVAS A.Travel time approximations for a layered transversely isotropic medium[J]. Geophysics, 2006, 71(2): D23-D33.
[29] HILL R.The elastic behavior of crystalline aggregate[J]. 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[J]. Applied Geophysics, 2012, 9(1): 57-64.
[31] HAMPSON D P, RUSSELL B H.Simultaneous inversion of pre-stack seismic data[R]. Houston: SEG Technical Program Expanded Abstracts, 2005: 1633-1637.
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