Fractal theory-based permeability model of fracture networks in coals

被引:0
|
作者
Xia B. [1 ,2 ]
Liao C. [1 ,2 ]
Luo Y. [1 ,2 ]
Ji K. [1 ,2 ]
机构
[1] State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing
[2] National & Local Joint Engineering Laboratory of Gas Drainage in Complex Coal Seam, Chongqing University, Chongqing
来源
Meitiandizhi Yu Kantan/Coal Geology and Exploration | 2023年 / 51卷 / 08期
关键词
coalbed methane; fractal dimension; permeability; tortuosity; true triaxial stress;
D O I
10.12363/issn.1001-1986.23.01.0006
中图分类号
学科分类号
摘要
Fractures in coal reservoirs, which act as the major seepage pathways for coalbed methane (CBM), determine the permeability and CBM productivity of coal reservoirs. Research on the relationships between fracture structures and reservoir permeability is of great theoretical and practical significance for the accurate prediction of CBM productivity. Based on the classical cubic law-based permeability model, as well as the fractal theory, fracture network structures, and effective stress, this study built a permeability model containing complex bending fractures, which was then combined with the S & D (Shi-Durucan) model to build the permeability model of fractured coals under the action of true triaxial stresses. Then, gas seepage experiments under true triaxial stresses were conducted, followed by the comparison of the results of the final permeability model with the experimental results and the fitting data of the S & D model. As shown by the comparison results, the results of the permeability model agreed well with the experimental results and thus can reflect the trend of the influence of stress on permeability under the loading of triaxial stresses. The comparison results alsoindicatethatthepermeabilitymodelbuiltinthisstudycanreflecttheanisotropyofcoalpermeabilitymoreeffectivelythanthe S & D model. Using this permeability model, this study quantitatively analyzed the effects of fracture structures of coals on coal permeability. The results indicate that the coal permeability exhibited positive power-law relationships with porosity ϕ(0.05-0.41), fractal dimension Df (2.37-2.81), maximum fracture length lmax (3.5-8.0 cm), and proportionality coefficient β (0.010-0.065) and negative power-law relationships with tortuosity fractal dimension DTf (2.005-2.275) and fracture dip angle θ (10°-80°). The results of this study will play an important role in accurately predicting the permeability of coal reservoirs and revealing the flow mechanisms of CBM in coal reservoirs. © 2021 Tunnel Construction. All rights reserved.
引用
收藏
页码:107 / 115
页数:8
相关论文
共 36 条
  • [1] Yidong CAI, Dameng LIU, Zhejun PAN, Et al., Partial coal pyrolysis and its implication to enhance coalbed methane recovery:A simulation study[J], Energy & Fuels, 31, 5, (2017)
  • [2] Zhenglan LI, Yonggang DUAN, Quantang FANG, Et al., A study of relative permeability for transient two –phase flow in a low permeability fractal porous medium[J], Advances in Geo – Energy Research, 2, 4, (2018)
  • [3] ZENG Jie, Jishan LIU, Wai LI, Et al., Evolution of shale permeability under the influence of gas diffusion from the fracture wall into the matrix[J], Energy & Fuels, 34, 4, pp. 4393-4406, (2020)
  • [4] Yafei LUO, Binwei XIA, Honglian LI, Et al., Fractal permeability model for dual–porosity media embedded with natural tortuous fractures[J], Fuel, 295, (2021)
  • [5] YE Jianping, HOU Songyi, ZHANG Shouren, Progress of coalbed methane exploration and development in China during the 13th Five–Year Plan period and the next exploration direction[J], Coal Geology & Exploration, 50, 3, pp. 15-22, (2022)
  • [6] Jianchun XU, Baojiang SUN, Bailian CHEN, A hybrid embedded discrete fracture model for simulating tight porous media with complex fracture systems[J], Journal of Petroleum Science and Engineering, 174, (2019)
  • [7] MANDELBROT B B, WHEELER J A., The fractal geometry of nature[J], American Journal of Physics, 51, 3, (1983)
  • [8] Boming YU, Ping CHENG, A fractal permeability model for bi–dispersed porous media[J], International Journal of Heat and Mass Transfer, 45, 14, (2002)
  • [9] XIAO Boqi, ZHANG Xian, WANG Wei, Et al., A fractal model for water flow through unsaturated porous rocks[J], Fractals, 26, 2, (2018)
  • [10] Pengbin DU, ZHAO Chuntian, Peng PENG, Et al., Fractal characterization of permeability prediction model in hydrate –bearing porous media[J], Chemical Engineering Science, 218, (2020)