A Review of Fractal Characterization Methods For Pore Structure in Coal Reservoirs

Authors

  • Chi Cui School of Resources and Environment, Henan Polytechnic University, Jiaozuo 454000, China Author

DOI:

https://doi.org/10.63313/CESS.4009

Keywords:

Coal Reservoir, Pore Structure, Fractal Dimension, Multi-Method Integration

Abstract

The pore structure of coal reservoirs exhibits significant heterogeneity. Fractal theory quantitatively characterizes the roughness of pore surfaces and the complexity of spatial structures through the fractal dimension (D). This study comprehensively reviews four primary methods for fractal characterization of coal pore structure: gas adsorption, mercury intrusion, nuclear magnetic resonance, and image analysis. It discusses the fractal models utilized in each method, their respective scopes, and conducts a comparative analysis of model and method variances. Furthermore, it consolidates prevalent multi-method joint testing approaches and elucidates the relationship between fractal dimension and pore structure parameters such as pore size distribution, specific surface area, and pore volume. These findings serve as a valuable resource for evaluating the physical properties of coal reservoirs and refining pore structure characterization.

References

[1] 李晓慧,郝廷,杨帅杰,等.大牛地气田石炭系太原组深部煤储层孔隙结构非均质性及其控气作用[J].现代地质,2026,40(01):193-206.DOI:10.19657/j.geoscience.1000-8527.202510170108.

[2] 刘怀谦,王磊,谢广祥,等.煤体孔隙结构综合表征及全孔径分形特征[J].采矿与安全工程学报,2022,39(03):458-469+479.

[3] Fumin,Wang,Shaofen,et al.Determination of the Surface Fractal Dimension for Porous Media by Capillary Condensation[J].Industrial & Engineering Chemistry Research, 1997.DOI:10.1021/ie960555w.

[4] 宋昱,姜波,李凤丽,等.低-中煤级构造煤纳米孔分形模型适用性及分形特征[J].地球科学,2018,43(05):1611-1622.

[5] Mandelbrot B B .The Fractal Geometry of Nature[J].The Fractal Geometry of Nature, 1982.

[6] Wang X, Zhu Y, Wang Y. Fractal Characteristics of Micro- and Mesopores in the Longmaxi Shale Energies. 2020; 13(6):1349. https://doi.org/10.3390/en13061349

[7] Neimark A .A new approach to the determination of the surface fractal dimension of porous solids[J].Physica A Statistical Mechanics & Its Applications, 1992, 191(191):258-262.DOI:10.1016/0378-4371(92)90536-Y.

[8] Li Q ,Wu Y ,Qiao L .Comprehensive Characterization and Metamorphic Control Analysis of Full Apertures in Different Coal Ranks within Deep Coal Seams[J].Applied Sciences,2024,14(18):8566-8566.DOI:10.3390/APP14188566.

[9] 李永臣,张继坤,李子玲,等.保德区块煤储层孔隙结构特征及煤相控制作用[J].科学技术与工程,2025,25(33):14106-14118.

[10] 贾腾飞,王猛,高星月,等.低阶煤储层孔隙结构特征及分形模型评价[J]. 天然气地球科学,2021,32(3):423-436.

[11] Zhang B , Liu W , Liu X .Scale-dependent nature of the surface fractal dimension for bi- and multi-disperse porous solids by mercury porosimetry[J].Applied Surface Science, 2006, 253(3):1349-1355.DOI:10.1016/j.apsusc.2006.02.009.

[12] ZHEN L ,RAORAO L ,HE Y , et al.A NEW FRACTAL MODEL OF COAL PERMEABILITY BASED ON THE INCREASING FRACTAL CONSTRUCTION METHOD OF THE MENGER SPONGE[J].Fractals,2021,29(7):DOI:10.1142/S0218348X21501875.

[13] Gan H , Nandi S P , Jr P L W .Nature of the porosity in American coals[J].Fuel, 1972, 51(4):272-277.DOI:10.1016/0016-2361(72)90003-8.

[14] Friesen W I , Mikula R J .Fractal dimensions of coal particles[J].Journal of Colloid & Interface Science, 1987, 120(1):263-271.DOI:10.1016/0021-9797(87)90348-1.

[15] Al-Mahrooqi S H , Grattoni C A , Moss A K ,et al.An investigation of the effect of wettability on NMR characteristics of sandstone rock and fluid systems[J].Journal of Petroleum Science and Engineering, 2003, 39(3):389-398.DOI:10.1016/S0920-4105(03)00077-9.

[16] Shao X , Pang X , Li H ,et al.Fractal Analysis of Pore Network in Tight Gas Sandstones Using NMR Method: A Case Study from the Ordos Basin, China[J].Energy & Fuels, 2017, 31(10):10358-10368.DOI:10.1021/acs.energyfuels.7b01007.

[17] 宁传祥,姜振学,苏思远,等.泥页岩核磁共振T2谱换算孔隙半径方法[J].科学技术与工程,2016,16(27):14-19.

[18] Voss R F , Laibowitz R B , Alessandrini E I .Fractal Geometry of Percolation in Thin Gold Films[J].Springer US, 1991.DOI:10.1007/978-1-4757-1402-9_23.

[19] Wang H ,Liu Y ,Song Y , et al.Fractal analysis and its impact factors on pore structure of artificial cores based on the images obtained using magnetic resonance imaging[J].Journal of Applied Geophysics,2012,8670-81.DOI:10.1016/j.jappgeo.2012.07.015.

[20] 秦雷,王平,林海飞,等.基于氮气吸附和压汞法液氮冻结煤体孔隙结构精细化表征研究[J].西安科技大学学报,2020,40(06):945-952+959.DOI:10.13800/j.cnki.xakjdxxb.2020.0602.

[21] 郑涵,刘恺德,李晓龙,等.基于NMR与CT的煤储层孔裂隙结构及渗透性研究进展[J].科学技术创新,2020,(34):64-67.

[22] 杨明,柳磊,张学博,等.不同阶煤孔隙结构与流体特性的核磁共振试验研究[J].中国安全科学学报,2021,31(01):81-88.DOI:10.16265/j.cnki.issn1003-3033.2021.01.012.

[23] 楚亚培,张东明,王满,等.基于核磁共振技术和压汞法的液氮冻融煤体孔隙结构损伤演化规律试验研究[J].岩石力学与工程学报,2022,41(09):1820-1831.DOI:10.13722/j.cnki.jrme.2021.1072.

[24] 张玉贵,焦银秋,雷东记,等.煤体纳米级孔隙低温氮吸附特征及分形性研究[J].河南理工大学学报(自然科学版),2016,35(02):141-148.DOI:10.16186/j.cnki.2016.02.001.

[25] 高迪,刘建国.沁水盆地东南部高阶煤孔隙分形特征及意义[J].河南理工大学学报(自然科学版),2017,36(02):7-15.DOI:10.16186/j.cnki.1673-9787.2017.02.002.

[26] 毛潇潇,赵迪斐,杨玉娟,等.阳泉新景矿高煤级煤的孔隙结构分形特征[J].煤田地质与勘探,2017,45(03):59-66.

[27] 肖明国.晋中盆地西南缘石炭-二叠系煤储层孔隙结构及分形特征[J].中国煤炭地质,2020,32(06):7-15.

[28] 张松航,唐书恒,汤达祯,等.鄂尔多斯盆地东缘煤储层渗流孔隙分形特征[J].中国矿业大学学报,2009,38(05):713-718.

[29] 王聪,江成发,储伟.煤的分形维数及其影响因素分析[J].中国矿业大学学报,2013,42(06):1009-1014.DOI:10.13247/j.cnki.jcumt.2013.06.020.

[30] 姜文,唐书恒,张静平,等.基于压汞分形的高变质石煤孔渗特征分析[J].煤田地质与勘探,2013,41(04):9-13.

Downloads

Published

2026-05-14

Issue

Section

Articles