[an error occurred while processing this directive] [an error occurred while processing this directive] [an error occurred while processing this directive]
[an error occurred while processing this directive]

Bayesian direct inversion method for brittleness index of shale oil reservoir based on prestack seismic data

  • ZHANG Hongjie , 1 ,
  • YANG Guang , 1 ,
  • WU Hao 1 ,
  • SUN Long 1 ,
  • LIU Zhijun 1 ,
  • GAO Wei 2 ,
  • QIAO Chuanxiang 2 ,
  • ZENG Yongjian 3
Expand
  • 1. Institute of Geophysical Exploration, PetroChina Jilin Oilfield Company
  • 2. The Exploration Department, PetroChina Jilin Oilfield Company
  • 3. Beijing Precise Energy Technology Co., Ltd
YANG Guang, MSc, Senior Engineer, mainly engaged in petroleum geology and exploration deployment. Add: No. 1568, Yuanjiang West Road, Ningjiang District, Songyuan, Jilin 138001, China. E-mail:

ZHANG Hongjie, MSc, Senior Engineer, mainly engaged in research on reservoir geophysics. Add: No. 1568, Yuanjiang West Road, Ningjiang District, Songyuan, Jilin 138001, China. E-mail:

Received date: 2024-08-26

  Revised date: 2025-02-24

  Online published: 2025-05-13

Abstract

Reasonable prediction of fracture parameters and brittleness index plays an indicative role in the hydraulic fracturing process in the exploration and development of shale oil reservoirs and lays the foundation for the comprehensive evaluation of sweet spots in a study area. Starting from the anisotropy theory, based on the linear sliding theory, scattering theory and Born approximation theory, this paper derives the anisotropic reflection coefficient equation of HTI media containing the brittleness index of Young's modulus to Poisson's ratio, Poisson's ratio, density, quasi-fracture normal weakness and quasi-fracture tangential weakness. And under the Bayesian framework, the expectation maximization algorithm introduces the conditional expectation value of the implicit variable into the random simulation of the model parameters at each iteration to solve the problem that the likelihood function can not take extreme values when the posterior distribution function of the model parameters is implicit or nonlinear. Compared with the traditional method of obtaining the maximum a posteriori probability solution, the introduction of the expectation maximization algorithm can obtain more stable model parameter inversion results, and finally realize the direct prestack seismic inversion of the brittleness index and fracture parameters of shale oil reservoirs. Model testing and actual data application verify the accuracy and applicability of the inversion method proposed in this paper.

Cite this article

ZHANG Hongjie , YANG Guang , WU Hao , SUN Long , LIU Zhijun , GAO Wei , QIAO Chuanxiang , ZENG Yongjian . Bayesian direct inversion method for brittleness index of shale oil reservoir based on prestack seismic data[J]. Marine Origin Petroleum Geology, 2025 , 30(2) : 177 -184 . DOI: 10.3969/j.issn.1672-9854.2025.02.008

[an error occurred while processing this directive]
[1]
于庭, 巴晶, 钱卫, 等. 非常规油气储层脆性评价方法研究进展[J]. 地球物理学进展, 2019, 34(1): 236-243.

YU Ting, BA Jing, QIAN Wei, et al. Research progress on evaluation methods of rock brittleness in unconventional oil/gas reservoirs[J]. Progress in geophysics, 2019, 34(1): 236-243.

[2]
JARVIE D M, HILL R J, RUBLE T E, et al. Unconventional shale-gas systems: the Mississippian Barnett Shale of north-central Texas as one model for thermogenic shale-gas assessment[J]. AAPG bulletin, 2007, 91(4): 475-499.

[3]
WANG F P, GALE J F W, et al. Screening criteria for shale-gas systems[J]. Transactions-Gulf Coast Association of Geological Societies, 2009, 59: 779-794.

[4]
李钜源. 东营凹陷泥页岩矿物组成及脆度分析[J]. 沉积学报, 2013, 31(4): 616-620.

LI Juyuan. Analysis on mineral components and frangibility of shales in Dongying Depression[J]. Acta sedimentologica sinica, 2013, 31(4): 616-620.

[5]
廖东良, 肖立志, 张元春. 基于矿物组分与断裂韧度的页岩地层脆性指数评价模型[J]. 石油钻探技术, 2014, 42(4): 37-41.

LIAO Dongliang, XIAO Lizhi, ZHANG Yuanchun. Evaluation model for shale brittleness index based on mineral content and fracture toughness[J]. Petroleum drilling techniques, 2014, 42(4): 37-41.

[6]
曹丹平, 韩金鑫, 肖竣夫, 等. 弹性特征约束下的矿物成分页岩脆性评价方法研究[J]. 地球物理学报, 2023, 66(11): 4781-4791.

CAO Danping, HAN Jinxin, XIAO Junfu, et al. Method for evaluating the brittleness of shale minerals under the constraints of elastic characteristics[J]. Chinese journal of geophysics, 2023, 66(11): 4781-4791.

[7]
RICKMAN R, MULLEN M, PETRE E, et al. A practical use of shale petrophysics for stimulation design optimization: all shale plays are not clones of the Barnett Shale[C]// SPE Annual Technical Conference and Exhibition. Denver: Society of Petroleum Engineers, 2008: SPE-115258-MS.

[8]
LUAN Xinyuan, DI Bangrang, WEI Jianxin, et al. Laboratory measurements of brittleness anisotropy in synthetic shale with different cementation[C]// 2014 SEG Annual Meeting. Denver: Society of Exploration Geophysicists, 2014: SEG- 2014-0432.

[9]
刘致水, 孙赞东. 新型脆性因子及其在泥页岩储集层预测中的应用[J]. 石油勘探与开发, 2015, 42(1): 117-124.

LIU Zhishui, SUN Zandong. New brittleness indexes and their application in shale/clay gas reservoir prediction[J]. Petroleum exploration and development, 2015, 42(1): 117-124.

[10]
CHEN Jiaojiao, ZHANG Guangzhi, CHEN Huaizhen, et al. The construction of shale rock physics effective model and prediction of rock brittleness[C]// 2014 SEG Annual Meeting. Denver: Society of Exploration Geophysicists, 2014: SEG- 2014-0716.

[11]
陈祖庆, 郭旭升, 李文成, 等. 基于多元回归的页岩脆性指数预测方法研究[J]. 天然气地球科学, 2016, 27(3): 461-469.

DOI

CHEN Zuqing, GUO Xusheng, LI Wencheng, et al. Study on shale brittleness index prediction based on multivariate regression method[J]. Natural gas geoscience, 2016, 27(3): 461-469.

DOI

[12]
PAN Xinpeng, ZHANG Guangzhi, CHEN Jiaojiao. The construction of shale rock physics model and brittleness prediction for high-porosity shale gas-bearing reservoir[J]. Petroleum science, 2020, 17(3): 658-670.

DOI

[13]
张德明, 刘志刚, 姚政道, 等. 川南页岩气田L区块页岩脆性指数叠前地震定量预测[J]. 石油物探, 2023, 62(1): 154-162.

DOI

ZHANG Deming, LIU Zhigang, YAO Zhengdao, et al. Quantitative prediction of shale brittleness index in block L of shale gas field in southern Sichuan using pre-stack seismic prediction method[J]. Geophysical prospecting for petroleum, 2023, 62(1): 154-162.

DOI

[14]
张丰麒, 刘俊州, 刘兰锋, 等. 确定性反演协同约束的叠后随机地震反演方法[J]. 石油地球物理勘探, 2021, 56(5): 1137-1149.

ZHANG Fengqi, LIU Junzhou, LIU Lanfeng, et al. The methodology of a post-stack stochastic seismic inversion with the co-constraint of deterministic inversion[J]. Oil geophysical prospecting, 2021, 56(5): 1137-1149.

[15]
陈珂磷, 杨扬, 井翠, 等. 页岩裂缝型储层模型参数化及AVAZ反演预测方法研究[J]. 地球物理学进展, 2022, 37(6): 2364-2372.

CHEN Kelin, YANG Yang, JING Cui, et al. Model parameterization and AVAZ inversion prediction method in shale fractured reservoir[J]. Progress in geophysics, 2022, 37(6): 2364-2372.

[16]
张广智, 赵晨, 涂奇催, 等. 基于量子退火Metropolis-Hastings算法的叠前随机反演[J]. 石油地球物理勘探, 2018, 53(1): 153-160.

ZHANG Guangzhi, ZHAO Chen, TU Qicui, et al. Prestack stochastic inversion based on the quantum annealing metropolis-hastings algorithm[J]. Oil geophysical prospecting, 2018, 53(1): 153-160.

[17]
田新, 宋志华, 田治康, 等. 含气页岩储层脆性及裂缝参数方位地震反演方法研究与应用[J]. 地球物理学进展, 2023, 38(3): 1191-1203.

TIAN Xin, SONG Zhihua, TIAN Zhikang, et al. Azimuthal variation of seismic amplitude for brittleness and fracture parameter of gas-bearing shale reservoir[J]. Progress in geophysics, 2023, 38(3): 1191-1203.

[18]
刘财, 符伟, 郭智奇, 等. 基于贝叶斯框架的各向异性页岩储层岩石物理反演技术[J]. 地球物理学报, 2018, 61(6): 2589-2600.

DOI

LIU Cai, FU Wei, GUO Zhiqi, et al. Rock physics inversion for anisotropic shale reservoirs based on Bayesian scheme[J]. Chinese journal of geophysics, 2018, 61(6): 2589-2600.

[19]
BULAND A, OMRE H. Bayesian linearized AVO inversion[J]. Geophysics, 2003, 68(1): 185-198.

[20]
许凯. 基于贝叶斯理论和HTI介质方位地震振幅差的裂缝弱度参数反演方法[J]. 石油物探, 2023, 62(3): 507-516.

DOI

XU Kai. An inversion method of fracture weakness parameters based on Bayesian theory and azimuthal seismic amplitude-difference in HTI media[J]. Geophysical prospecting for petroleum, 2023, 62(3): 507-516.

DOI

[21]
张冰, 刘财, 郭智奇, 等. 基于统计岩石物理模型的各向异性页岩储层参数反演[J]. 地球物理学报, 2018, 61(6): 2601-2617.

DOI

ZHANG Bing, LIU Cai, GUO Zhiqi, et al. Probabilistic reservoir parameters inversion for anisotropic shale using a statistical rock physics model[J]. Chinese journal of geophysics, 2018, 61(6): 2601-2617.

[22]
向坤, 陈科, 段心标, 等. 基于APSO-MCMC的叠前三参数同步随机反演方法研究[J]. 石油物探, 2022, 61(4): 673-682.

DOI

XIANG Kun, CHEN Ke, DUAN Xinbiao, et al. Stochastically simultaneous inversion of prestack data using APSO-MCMC method[J]. Geophysical prospecting for petroleum, 2022, 61(4): 673-682.

DOI

[23]
印兴耀, 刘杰, 杨培杰. 一种基于负熵的Bussgang地震盲反褶积方法[J]. 石油地球物理勘探, 2007, 42(5): 499-505.

YIN Xingyao, LIU Jie, YANG Peijie. A negative entropy-based Bussgang seismic blind deconvolution[J]. Oil geophysical prospecting, 2007, 42(5): 499-505.

[24]
温津伟, 罗四维, 赵嘉莉, 等. 基于Bayesian的期望最大化方法: BEM算法[J]. 计算机研究与发展, 2001, 58(7): 821-824.

WEN Jinwei, LUO Siwei, ZHAO Jiali, et al. The BEM algorithm: an EM method based on Bayesian[J]. Journal of computer research and development, 2001, 58(7): 821-824.

[25]
SCHOENBERG M, SAYERS C M. Seismic anisotropy of fractured rock[J]. Geophysics, 1995, 60(1): 204-211.

[26]
SHAW R K, SEN M K. Use of AVOA data to estimate fluid indicator in a vertically fractured medium[J]. Geophysics, 2006, 71(3): C15-C24.

[27]
RÜGER A. Reflection coefficients and azimuthal AVO analysis in anisotropic media[M]. Tulsa: Society of Exploration Geophysicists, 2002.

[28]
ZONG Zhaoyun, YIN Xingyao, WU Guochen. Elastic impedance parameterization and inversion with Young's modulus and Poisson's ratio[J]. Geophysics, 2013, 78(6): N35-N42.

[29]
ALEMIE W, SACCHI M D. High-resolution three-term AVO inversion by means of a Trivariate Cauchy probability distribution[J]. Geophysics, 2011, 76(3): R43-R55.

Outlines

/

[an error occurred while processing this directive]