Journal of Jilin University(Earth Science Edition) ›› 2020, Vol. 50 ›› Issue (4): 1003-1011.doi: 10.13278/j.cnki.jjuese.20190148

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Permeability Prediction Based on Fractal Characteristics of Digital Rock

Yang Kun, Wang Fuyong, Zeng Fanchao, Zhao Jiuyu, Wang Congle   

  1. Unconventional Petroleum Research Institute, China University of Petroleum(Beijing), Beijing 102249, China
  • Received:2019-07-29 Online:2020-07-26 Published:2020-07-29
  • Supported by:
    Supported by National Natural Science Foundation of China (51604285, 51874320)

Abstract: Based on digital rock technology, the core CT scanning images are processed to obtain the core fractal parameters with fractal theory, and then the core permeability is predicted by constructing an equivalent fractal model of digital rock. In this study, firstly, the micro-CT scanning experiments of two sandstones were carried out,the core pore network models were extracted, and the pore throat structures were analyzed. Further, these two digital rocks and nine digital rocks from the Imperial College were processed to obtain the fractal parameters including fractal dimension, tortuosity, tortuosity dimension, and maximum pore radius by using MATLAB and Image J. Finally, based on the fractal permeability model, the permeability of cores was predicted. The results show that the pore throat radius distribution and pore coordination number distribution have influence on core permeability. The predicted permeability has a good correlation with the core permeability, and the correlation coefficient is greater than 0.97. Therefore, the core permeability can be effectively predicted based on digital rock technology by constructing an equivalent fractal model.

Key words: digital rock, CT scanning, permeability, fractal, pore structure

CLC Number: 

  • TE311
[1] 姚军,赵秀才,衣艳静,等. 数字岩心技术现状及展望[J]. 油气地质与采收率, 2005, 12(6):52-54. Yao Jun, Zhao Xiucai, Yi Yanjing, et al. Status and Prospect of Digital Core Technology[J]. Petroleum Geology and Recovery Efficiency, 2005,12(6):52-54.
[2] 潘汝江,何翔,肖维民,等. CT扫描技术在岩心三维重建中的应用[J]. CT理论与应用研究, 2018, 27(3):349-356. Pan Rujiang, He Xiang, Xiao Weimin, et al. Application of CT Scanning Technique in Core 3D Reconstruction[J]. CT Theory and Application, 2018, 27(3):349-356.
[3] 王鑫元,沈忠山,张东,等. 基于全直径岩心CT扫描技术的三元复合驱后微观孔隙结构特征[J]. 大庆石油地质与开发, 2019, 38(2):81-86. Wang Xinyuan, Shen Zhongshan, Zhang Dong, et al.Microscopic Pore Structure Characteristics After ASP Flooding Based on CT Scanning Technique of the Full-Diameter Core[J]. Petroleum Geology and Oilfield Development in Daqing, 2019, 38(2):81-86.
[4] Dvorkin J, Walls J, Tutuncu A, et al. Rock Property Determination Using Digital Rock Physics[C]//Geophysics of the 21st Century:The Leap into the Future, SEG Technical Program Expanded Abstracts 2003. Moscow:European Association of Geoscientists & Engineers, 2003:cp-38-00040.
[5] 李易霖,张云峰,丛琳,等. X-CT扫描成像技术在致密砂岩微观孔隙结构表征中的应用:以大安油田扶余油层为例[J]. 吉林大学学报(地球科学版), 2016, 46(2):379-387. Li Yilin, Zhang Yunfeng, Cong Lin, et al. Application of X-CT Scanning Technique in the Characterization of Micro Pore Structure of Tight Sandstone Reservoir:An Example from Fuyu Oil Layer in Daan Oilfield[J]. Journal of Jilin University (Earth Science Edition), 2016, 46(2):379-387.
[6] 赵玲,石雪,夏慧芬. 数字岩心孔隙网络模型的构建方法[J]. 科学技术与工程, 2018, 18(26):32-38. Zhao Ling, Shi Xue, Xia Huifen. Construction Method of Digital Core Pore Network Model[J]. Science Technology and Engineering, 2018, 18(26):32-38.
[7] Adler P M, Jacquin C G, Thovert J F. The Formation Factor of Reconstructed Porous Media[J]. Water Resources Research, 1992, 28(6):1571-1576.
[8] Hazlett R D. Statistical Characterization and Stochastic Modeling of Pore Networks in Relation to Fluid Flow[J]. Mathematical Geology, 1992, 29(6):801-822.
[9] Bryant S, Blunt M. Prediction of Relative Permeability in Simple Porous Media[J]. Physical Review:A:Atomic, Molecular, and Optical Physics, 1992, 46(4):2004-2011.
[10] 姚军,王晨晨,杨永飞,等. 碳酸盐岩双孔隙网络模型的构建方法和微观渗流模拟研究[J]. 中国科学:物理学力学天文学, 2013, 43(7):896-902. Yao Jun, Wang Chenchen, Yang Yongfei, et al. The Construction Method and Microscopic Flow Simulation of Carbonate Dual Pore Network Model[J]. Scientia Sinica:Physica,Mechanica & Astronomica, 2013, 43(7):896-902.
[11] 赵明,郁伯铭. 数字岩心孔隙结构的分形表征及渗透率预测[J]. 重庆大学学报, 2011, 34(4):88-94. Zhao Ming, Yu Boming. The Fractal Characterization of Pore Structure for Some Numerical Rocks and Prediction of Permeabilities[J]. Journal of Chongqing University, 2011, 34(4):88-94.
[12] Sun H, Yao J, Cao Y, et al. Characterization of Gas Transport Behaviors in Shale Gas and Tight Gas Reservoirs by Digital Rock Analysis[J]. International Journal of Heat and Mass Transfer, 2017, 104:227-239.
[13] 林承焰,王杨,杨山,等. 基于CT的数字岩心三维建模[J]. 吉林大学学报(地球科学版),2018, 48(1):307-317. Lin Chengyan, Wang Yang, Yang Shan, et al. 3D Modeling of Digital Core Based on X-Ray Computed Tomography[J]. Journal of Jilin University (Earth Science Edition), 2018, 48(1):307-317.
[14] Golparvar A, Zhou Y, Wu K, et al. A Comprehensive Review of Pore Scale Modeling Methodologies for Multiphase Flow in Porous Media[J]. Advances in Geo-Energy Research, 2018, 2(4):418-440.
[15] Dong H, Blunt M J. Pore-Network Extraction from Micro-Computerized-Tomography Images[J]. Physical Review E, 2009, 80(3):036307.
[16] Mandelbrot B B. The Fractal Geometry of Nature[M]. New York:WH Freeman, 1983.
[17] Yu B, Cheng P. A Fractal Permeability Model for Bi-dispersed Porous Media[J]. International Journal of Heat and Mass Transfer, 2002, 45(14):2983-2993.
[18] Yu B. Fractal Character for Tortuous Streamtubes in Porous Media[J]. Chinese Physics Letters, 2005, 22(1):158.
[19] Wu J, Yu B. A Fractal Resistance Model for Flow Through Porous Media[J]. International Journal of Heat and Mass Transfer, 2007, 50(19/20):3925-3932.
[20] Wang F, Jiao L, Lian P, et al. Apparent Gas Permeability, Intrinsic Permeability and Liquid Permeability of Fractal Porous Media:Carbonate Rock Study with Experiments and Mathematical Modelling[J]. Journal of Petroleum Science and Engineering, 2019, 173:1304-1315.
[21] 尹贤龙. 基于图像分形维数估计的最小盒计数法的研究[J]. 电气应用, 2006,25(9):93-96. Yin Xianlong. Research of Minimum Box-Counting Method Based on Image Fractal Dimension Estimation[J]. Elerctrotechnical Application, 2006, 25(9):93-96.
[22] 曹俊贤,宋春林. 分形维数的计算及改进[J]. 信息技术与信息化, 2017(10):19-23. Cao Junxian, Song Chunlin. Calculation and Improvement of the Fractal Dimension[J]. Information Technology and Informatization, 2017(10):19-23.
[23] 王聪乐. 砂岩油藏孔隙结构分形表征与渗透率模型研究[D]. 北京:中国石油大学(北京), 2018. Wang Congle. Reasearch on Fractal Characterization of Pore Structure and Permeability Model in Sandstone Reservoirs[D]. Beijing:China University of Petroleum (Beijing), 2018.
[24] Al-Raoush R I, Madhoun I T. TORT3D:A MATLAB Code to Compute Geometric Tortuosity from 3D Images of Unconsolidated Porous Media[J]. Powder Technology, 2017, 320:99-107.
[25] Imperial Colleage. Micro-CT Images and Networks[DB/OL].[2019-05-23]. http://www.imperial.ac.uk/earth-science/research/research-groups/per-m/research/pore-scale-modelling/micro-ct-images-and-networks/.
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