Wang Xiao-yao，Zeng Lian-bo，Zhou San-dong，Shi Jin-xiong，Tian He . Assessment of micro-pore structure fractal model evaluation of low-rank coal reservoirs[J]. Natural Gas Geoscience, 2018 , 29(2) : 277 -288 . DOI: 10.11764/j.issn.1672-1926.2017.12.004

［1］Liu Dameng，Li Zhengtao，Cai Yidong.Coal reservoir pore-fractured geological influence factors of homogeneity and its research progress[J].Coal Science and Technology，2015，43(2)：10-15.
刘大锰，李振涛，蔡益栋.煤储层孔—裂隙均质性及其地质影响因素研究进展[J].煤炭科学技术，2015，43(2)：10-15.
[2]Clarkson C R，Bustin R M.The effect of pore structure and gas pressure upon the transport properties of coal：A laboratory and modeling stud(1)：Isotherms and pore volume distributions[J].Fuel，1999，78(11)：1333-1344.[ZK)]
[3][ZK(3#]Nakagaka T，Komaki I，Sakawa M，et al.Small angle X-ray scattering study on change of fractal property of witbank coal with heat treatment[J].Fuel，2000，79(11)：1341-1346.
[4]Okolo G N，Everson R C，Neomagus H W J P，et al.Comparing the porosity and surface areas of coal as measured by gas adsorption，mercury intrusion and SAXS techniques[J].Fuel，2015，141(141)：93-304.
[5]Sakurovs R，He L，Melnichenko Y B，et al.Pore size distribution and accessible pore size distribution in bituminous coals[J].International Journal of Coal Geology，2012，100(3)：51-64.
[6]Yao Y B，Liu D M，Che Y，et al.Non-destructive characterization of coal samples from China using microfocus X-ray computed tomography[J].International Journal of Coal Geol-ogy，2009，80(2)：113-123.
[7]Hu Zhiming，Ba Zhibo，Xiong Wei.Analysis of micro pore structure in low permeability reservoir[J].Journal of Daqing Petroleum Institute，2006，30(3)：51-53.
胡志明，把智波，熊伟.低渗透油层微观孔隙结构分析[J].大庆石油学院学报，2006，30(3)：51-53.
[8]Yang Zhengming，Zhang Yingzhi，Hao Mingqiang，et al.Comprehensive evaluation method for low permeability reservoir[J].Journal of Petroleum Science，2006，27(2)：64-67.
杨正明，张英芝，郝明强，等.低渗透油田储层综合评价方法[J].石油学报，2006，27(2)：64-67.
[9]Cai Yidong，Liu Dameng，Yao Yanbin，et al.Temperature control study on dynamic evolution of coal-bed gas reservoir[J].Geography Frontier，2014，21(1)：240-248.
蔡益栋，刘大锰，姚艳斌，等.温度控制下的煤层气储层物性动态演化研究[J].地学前缘，2014，21(1)：240-248.
[10]Mandelbrot B B，Wheeler J A.The fractal geometry of nature[J].Journal of the Royal Statistical Society，1982，147(4)：468.
[11]Hu Baolin，Zhang Zhilong，Che Yao，et al.Study on fractal characteristics of pore of coal reservoirs in Ordos Basin[J].Journal of Huainan Institute，2002，22(4)：1-4.
胡宝林，张志龙，车遥，等.鄂尔多斯盆地煤储层孔隙分形特征研究[J].淮南工业学院学报，2002，22(4)：1-4.
[12]Tong Hongshu，Hu Baolin.Cryogenic nitrogen adsorption in coal reservoir porosity in the Ordos Basin study on fractal features[J].Coal Technology，2004，23(1)：1-3.
童宏树，胡宝林.鄂尔多斯盆地煤储层低温氮吸附孔隙分形特征研究[J].煤炭技术，2004，23(1)：1-3.
[13]Yang Yu，Sun Hanseng，Peng Xiaodong，et al.Fractal characteristics of pore structure of coal-bed gas reservoir research[J].Special Oil and Gas Reservoirs，2013，20(1)：31-33.
杨宇，孙晗森，彭小东，等.煤层气储层孔隙结构分形特征定量研究[J].特种油气藏，2013，20(1)：31-33.
[14]Pfeifer P，Avnir D.Chemistry in nointegral dimensions between two and three[J].Chemical Physics，1983，79(7)：3369-3558.
[15]Katz A J，Thompson A H.Fractal sandstone pores：Implications for conductivity and pore formation[J].Physical Review Letters，1985，54(12)：1325-1328.
[16]Krohn C E.Sandstone fractal and Euclidean pore volume distributions[J].Journal of Geophysical Research Atmospheres，1988，93(B4)：3286-3296.
[17]Krohn C E.Fractal measurements of sandstones，shales，and carbonates[J].Journal of Geophysical Research Solid Earth，1988，93(B4)：3297-3305.
[18]Washburn E W.The dynamics of capillary flow[J].Physical Review，1921，17(3)：273-283.
[19]He Chengzu，Hu Mingqi.Fractal geometry description of reservoir pore structure[J].Petroleum and Natural Gas Geology，1998，19(1)：15-23.
贺承祖，华明琪.储层孔隙结构的分形几何描述[J].石油与天然气地质，1998，19(1)：15-23.
[20]Liu Junliang，Tian Changan，Zeng Yanwei，et al.Fractal pore structure and permeability of porous media by fractal dimension[J].Advances in Water Science，2006，17(6)：812-817.
刘俊亮，田长安，曾燕伟，等.分形多孔介质孔隙微结构参数与渗透率的分维关系[J].水科学进展，2006，17(6)：812-817.
[21]Yao Y B，Liu D M，Tang D Z，et al.Fractal characterization of adsorption-pores of coals from North China：An investigation on CH4 adsorption capacity of coals[J].International Journal of Coal Geology，2008，73(11):27-42.
[22]Yao Y B，Liu D M，Tang D Z，et al.Fractal characterization of seepage-pores of coals from China：An investigation on permeability of coals[J].Computers & Geosciences，2009，35(6):1159-1166.
[23]Cai Y D，Liu D M，Yao Y B，et al.Fractal characteristics of coal pores based on classic geometry and thermodynamics models[J].Acta Geologica Sinica，2011，85(5):1150-1162.
[24]Zhang Songhang，Tang Shunheng，Tang Dazhen，et al.East margin of the Ordos Basin fractal characteristics of pore of coal reservoir seepage[J].Journal of China University of Mining，2009，38(5)：713-718.
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(5)：713-718.
[25]Fu Xuehai，Qin Yong，Zhang Wanhong，et al.Based on pore fractal classification of coal coalbed methane migration and natural studies[J].Chinese Science Bulletin，2005，50(b10)：51-55.
傅雪海，秦勇，张万红，等.基于煤层气运移的煤孔隙分形分类及自然分类研究[J].科学通报，2005，50(b10)：51-55.
[26]Zhao Aihong，Liao Yi，Tang Xiuyi.Study on fractal pore structure of coal[J].Journal of Coal Science，1998，23(4)：339-442.
赵爱红，廖毅，唐修义.煤的孔隙结构分形定量研究[J].煤炭学报，1998，23(4)：339-442.
[27]Wang Rongjie，Chen Yisheng，Li Baowei，et al.Study on the fractal dimension of coal by gas adsorption method[J].Journal of Baotou College of Iron and Steel，1997，16(3)：188-192.
王荣杰，陈义胜，李保卫，等.用气体吸附法研究煤的分形维数[J].包头钢铁学院学报，1997，16(3)：188-192.
[28]Meyers R A.Coal Structure[M].New York：Academic Press，1982:78-83.
[29]Hao Qi.Micro-morphological characteristics of pore of coal and its genesis[J].Journal of Coal Science，1987(4)：53-58，99-103.
郝琦.煤的显微孔隙形态特征及其成因探讨[J].煤炭学报，1987(4):53-58，99-103.
[30]Wang Junmin.Junggar coal-bearing basin tectonic evolution and coal-accumulation[J].Xinjiang Geology，1998，16(1)：25-30.
王俊民.准噶尔含煤盆地构造演化与聚煤作用[J].新疆地质，1998，16(1)：25-30.
[31]Guo Shaojie，Wu Chaodong，Zhang Zhicheng，et al.Structural control of reservoirs on the south margin of Junggar Basin and large oil-gas exploration direction analysis[J].Journal of University of Geology，2011，17(2)：185-195.
郭召杰，吴朝东，张志诚，等.准噶尔盆地南缘构造控藏作用及大型油气藏勘探方向浅析[J].高校地质学报，2011，17(2)：185-195.
[32]Li Chenchen，Liu Dameng，Cai Yidong，et al.The microfissure characteristics and mineral control analysis of coal reservoir in the southern margin of the Junggar Basin，Xinjiang[J].Coal Science and Technology，2015，43(12)：144-151.
李臣臣，刘大锰，蔡益栋，等.新疆准南地区煤储层显微裂隙特征及矿物控因分析[J].煤炭科学技术，2015，43(12)：144-151.
[33]Ma Xinfang，Zhang Shicheng，Lang Zhaoxin.Calculation of fractal dimension of pore structure by using subsection regression method[J].Journal of the University of Petroleum，China:Edition of Natural Science，2004，28(6)：54-56.
马新仿，张士诚，郎兆新.用分段回归方法计算孔隙结构的分形维数[J].中国石油大学学报：自然科学版，2004，28(6)：54-56.
[34]Lai Jin，Wang Guiwen，Zhang Yiqiong.Low permeability clastic reservoirs calculation method of fractal dimension of pore structure：Reservoir in Xujiahe Formation in central Sichuan region 41 rock sample as an example[J].Journal of Northeast Petroleum University，2013，37(1)：1-7.
赖锦，王贵文，郑懿琼，等.低渗透碎屑岩储层孔隙结构分形维数计算方法——以川中地区须家河组储层41块岩样为例[J].东北石油大学学报，2013，37(1):1-7.
[35]Li Dayong，Zang Shibin，Reng Xiaojuan，et al.Fractal research on low permeability reservoir pore structure[J].Liaoning Chemical Industry，2010，39(7)：723-726.
李大勇，臧士宾，任晓娟，等.用分形理论研究低渗储层孔隙结构[J].辽宁化工，2010，39(7):723-726.
[36]Yin Zhijun，Sheng Guojun，Wang Chunguang.Mercury-based fractal characteristics of coal and rock porosity[J].Metal Mine，2011，40(9)：54-57.
尹志军，盛国君，王春光.基于压汞法的煤岩各段孔隙的分形特征[J].金属矿山，2011，40(9):54-57.
[37]Zhang Xianguo，Zhang Tao，Lin Chengyan.Based on pore fractal feature of pore structure in low permeability reservoir evaluation[J].Lithologic Oil-Gas Reservoirs，2013，25(6)：40-45.
张宪国，张涛，林承焰.基于孔隙分形特征的低渗透储层孔隙结构评价[J].岩性油气藏，2013，25(6)：40-45.
[38]He Yan，Wu Liansheng.New method of determining the fractal dimension of pore structure[J].Petroleum Experimental Geology，1999，21(4)：372-375.
何琰，吴念胜.确定孔隙结构分形维数的新方法[J].石油实验地质，1999，21(4)：372-375.
[39]Friesen W I，Mikula R J.Fractal dimensions of coal particles[J].Journal of Colloid & Interface Science，1987，120(1)：263-271.
[40]Rootare H M，Prenzlow C F.Surface areas from mercury porosimeter measurements[J].Journal of Physical Chemistry，2002，71(8)：2733-2736.
[41]Zhang B，Li S.Determination of the surface fractal dimension for porous media by mercury porosimetry[J].Industrial & Engineering Chemistry Research，1995，34(4)：1383-1386.
[42]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.
[43]Wolf K H A A，Bergen F V，Ephraim R，et al.Determination of the cleat angle distribution of the recopol coal seams，using CT-scans and image analysis on drilling cuttings and coal blocks[J].International Journal of Coal Geology，2008，73(3)：259-272.
[44]Kozeny J.Uber kapillare leitung des wassers in boden[J].Sitzungsber Akad Wiss Wein.1927，136(2a)：271-306.
[45]Archie G E.Electrical resistivity an aid in core-analysis interpretation[J].AAPG Bulletin，1947，31(2)：350-366.
[46]Zhou S，Liu D，Cai Y，et al.Multi-scale fractal characterizations of lignite，subbituminous and high-volatile bituminous coals pores by mercury intrusion porosimetry[J].Journal of Natural Gas Science & Engineering，2017，44：338-350.
[47]Zhang Songhang，Tang Shuheng，Tang Dazhen，et al.East margin of the Ordos Basin fractal characteristics of pore of coal reservoir seepage[J].Journal of China University of Mining and Technology，2009，38(5)：714-718.
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(5)：714-718.
[48]Liu Shunxi，Wu Caifang.Study on the different scale fractal characteristics of pore of coal reservoirs in Bidesan Tang Basin[J].Coal Science and Technology，2016，44(2)：33-38.
刘顺喜，吴财芳.比德—三塘盆地煤储层不同尺度孔隙分形特征研究[J].煤炭科学技术，2016，44(2)：33-38.