［1］Yang Shenglai,Wei Junzhi.Petrophysics［M］.Beijing:Petroleum Industry Press,2006:157-158.［杨胜来,魏俊之.油藏物理学［M］.北京:石油大学出版社,2006:157-158.］
［2］Kozeny J.Ueber kapillare Leitung des Wassers im Boden[J].Sitzungsber Akad.Wiss,Wien,1927,136(2a):271-306.
［3］Carman P C.Permeability of saturated sands,soils and clays[J].The Journal of Agricultural Science,1939,29(2):263-273.
［4］Xu P,Yu B M.Developing a new form of permeability and Kozeny-Carman constant for homogeneous porous media by means of fractal geometry[J].Advances in Water Resources,2008,34(1):74-81.
［5］Kaviany M.Principles of Heat Transfer in Porous Media［M］.New York:Springer-Verlag,1995.
［6］Kyan C P,Wasan D T,Kintner R C.Flow of single-phase fluids through fibrous beds[J].Industrial & Engineering Chemistry Fundamentals,1970,9(4):596-603.
［7］Mathavan G N,Viraraghavan T.Coalescence/ filtration of an oil-in-water emulsion in a peat bed[J].Water Research,1992,26(1):91-98.
［8］Rahli O,Tadrist L,Misceyic M,et al.Fluid flow through randomly packed mono-disperse fibers:the Kozeny-Carman parameter analysis[J].Journal of Fluids Engineering,1997,119(1):188-192.
［9］Sparrow E M,Loeffler A L.Longitudinal laminar flow between cylinders arranged in regular array[J].AICHE Journal,1959,5(3):325-330.
［10］Davies L,Dollimore D.Theoretical and experimental values for the parameter k of the Kozeny-Carman equation as applied to sedimenting suspensions[J].Journal of Physics D,1980,13(11):2013-2020.
［11］Costa A.Permeability-porosity relationship:A reexamination of the Kozeny-Carman equation based on a fractal pore-space geometry assumption[J].Geophysical Research Letters,2006,33:L02318.
［12］Zhu Hua,Ji Cuicui.Fractal Theory and Its Applications［M］.Beijing:Science Press,2011.［朱华,姬翠翠.分形理论及其应用［M］.北京:科学出版社,2011.］
［13］Pape H,Clauser C,Iffland J.Permeability prediction based on fractal pore-space geometry[J].Geophysics,1999,64(5):1447-1460.
［14］Pare H,Clauser C,Iffland J.Variation of permeability with porosity in sandstone diagenesis interpreted with a fractal pore space model［J］,Pure and Applied geophysics,2000,157(4):603-619.
［15］Xu P,Yu B M.Developing a new form of permeability and Kozeny-Carman constant for homogeneous porous media by means of fractal geometry[J].Advances in Water Resources,2008,34(1):74-81.
［16］Xu Peng,Qiu Shuxia,Jiang Zhouting,et al.Fractal analysis of Kozeny-Carman constant in the homogenous porous media [J].Journal of Chongqing University,2011,34(4):78-82.［徐鹏,邱淑霞,姜舟婷,等.各向同性多孔介质中Kozeny-Carman常数的分型分析[J].重庆大学学报,2011,34(4):78-82.］
［17］Chen Huanqing,Cao Chen,Liang Shuxian,et al.Research advances on reservoir pores[J].Natural Gas Geoscience,2013,24(2):227-237.［陈欢庆,曹晨,粱淑贤,等.储层孔隙结构研究进展[J].天然气地球科学,2013,24(2):227-237.］
［18］Xu Shouyu,Wang Shuping.Fractal feature about the micro-structure in sandstone reservoir:Taking the Paleogene Shahejie Formation in Shengtuo Oilfield as an example[J].Natural Gas Geoscience,2013,24(5):886-892.［徐守余,王淑萍.砂岩储层微观结构分形特征研究——以胜坨油田古近系沙河街组储层为例[J].天然气地球科学,2013,24(5):886-892.］
［19］Xie Xiaoyong,Guo Xinjiang,Jiang Zujun,et al.Study on formation damage and fractal feature of pore structure[J].Natural Gas Geoscience,2011,22(6):1128-1132.［谢晓永,郭新江,蒋祖军,等.储层孔隙结构分形特征与损害研究[J].天然气地球科学,2011,22(6):1128-1132.］
［20］Chen Tianyong,Mao Xin,Liu Shiyin,et al.Fractal theory-based calculation method of relative permeability curves-a case study from the Hetaoyuan Formation in Shuanghe Oilfield,Nanxiang Basin[J].Oil & Gas Geology,2012,33(4):578-590.［陈田勇,毛鑫,刘仕银,等.利用分形理论计算相对渗透率曲线——以南襄盆地双河油田核桃园组六油组为例[J].石油与天然气地质,2012,33(4):578-590.］
［21 ］Yang Feng,Ning Zhengfu,Wang Qing,et al.Fractal characteristics of Nanopore in Shales[J].Natural Gas Geoscience,2014,25(4):618-623.［杨峰,宁正福,王庆,等．页岩纳米孔隙分形特征[J].天然气地球科学,2014,25(4):618-623.］
［22 ］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):87-94.［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):87-94.］