Bai Rui-ting，Li Zhi-ping，Nan Jun-xiang，Lai Feng-peng，Li Hong，Wei Qing . The fractal permeability model in tight sand reservoir accounts for start-up gradient[J]. Natural Gas Geoscience, 2016 , 27(1) : 142 -148 . DOI: 10.11764/j.issn.1672-1926.2016.01.0142

[1]Liu Fenxia,Cheng Qirong,Yuan Haihan,et al.Interpretation for well logging data from low porosity and permeability reservoirs:Examplified by porosity and permeability evaluation for Upper Paleozoic reservoirs in the central gasfields of the Ordos Basin[J].Geological Journal of Universities,1996,2(1):65-74.[刘芬霞,程启荣,原海涵,等.低孔低渗储层测井解释方法研究——以陕甘宁盆地中部气田上古生界求孔隙度、渗透率为例[J].高校地质学报,1996,2(1):65-74.]
[2]Shi Ping,Tang Jun.Application of genetic algorithm to the optimization of the calculation formula for permeability of tight sandstone reservoir:Taking the number 8 of the Yanchang Formation of Huan County Oilfield in Ordos Basin as an example[J].Journal of Inner Mongolia University:Natural Science Edition,2014,45(4):365-371.[石萍,唐俊.遗传算法在致密砂岩储层渗透率计算公式优化中的应用——以鄂尔多斯盆地环县地区延长组长8段为例[J].内蒙古大学学报:自然科学版,2014,45(4):365-371.]
[3]Zhang Lihua,Pan Baozhi,Li Ning,et al.Reservoir classification method based on three water model to evaluate low porosity and low permeability reservoir[J].Well Logging Technology,2011,35(1):31-35.[张丽华,潘保芝,李宁,等.基于三水模型的储层分类方法评价低孔隙度低渗透率储层[J].测井技术,2011,35(1):31-35.]
[4]Mandlbrot B B.The Fractal Geometry of Nature[M].San Francisco:W.H.Freeman,1982.
[5]Jia Fenshu,Shen Pingping,Li Kewen.Study on the fractal feature of pore structure of the sandstone [J].The Fault Block Oil and Gas Field,1995,2(1):16-21.[贾芬淑,沈平平,李克文.砂岩孔隙结构的分形特征及应用研究[J].断块油气田,1995,2(1):16-21.]
[6]He Chengzu,Hua Mingqi.Fractal geometry description of reservoir pore structure[J].Oil and 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.]
[7]Yu B M,Cheng P.A fractal model for permeability of bi-dispersed porous media [J].International Journal of Heat & Mass Transfer,2002,45(14):2983-2993.
[8]Li Liuren,Yuan Shiyi,Hu Yongle.A model for permeability and porosity of fractal porous media[J].Journal of Xi’an Shiyou University:Natural Science Edition,2010,25(3):49-51,74.[李留仁,袁士义,胡永乐.分形多孔介质渗透率与孔隙度理论关系模型[J].西安石油大学学报:自然科学版,2010,25(3):49-51,74.]
[9]Liu Junliang,Tian Chang’an,Zeng Yanwei,et al.Fractal dimensionality dependence of microstructural parameters and permeability in fractal porous media[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.]
[10]Zheng Bin,Li Juhua.A new fractal permeability model for porous media based on kozeny-carman equation[J].Natural Gas Geoscience,2015,26(1):193-198.[郑斌,李菊花.基于Kozeny-Carman方程的渗透率分形模型[J].天然气地球科学,2015,26(1):193-198.]
[11]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,2008,31(1):74-81.
[12]Wu J S,Yu B M.A fractal resistance model for flow through porous media[J].International Journal of Heat & Mass Transfer,2007,50(19):3925-3932.〖JP〗
[13]Yu B M,Li J H.A Geometry model for tortuosity of flow path in porous media[J].Chinese Physics Letters,2004,21(8):1569-1571.
[14]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(2):L02318.
[15]Huang Yanzhang.The Flow Mechanism of Low Permeability Reservoir[M].Beijing:Petroleum Industry Press,1998.[黄延章.低渗透油层渗流机理[M].北京:石油工业出版社,1998.]
[16]Li Zhaomin,Cai Guoyan.Non Newtonian Fluid Flow[M].Dongying:China University of Petroleum Press,1998:216-218.[李兆敏,蔡国琰.非牛顿流体力学[M].东营:石油大学出版社,1998:216-218.]
[17]Cheng Qigui,Lei Qiming,Xiong Weiliang.Theory and technology of effective-displacement-pressure system of tight oil reservoir[J].Natural Gas Geoscience,2012,23(3):570-576.[程启贵,雷启鸿,熊维亮.致密油藏有效驱替压力系统建立理论与技术[J].天然气地球科学,2012,23(3):570-576.]
[18]Lou Yu,Zhu Weiyao,Song Hongqing,et al.Apparent permeability model for fractal porous media considering the effect of solid-liquid interface[J].Journal of Northeast Petroleum University,2014,38(2):69-73.[娄钰,朱维耀,宋洪庆,等.考虑固液界面作用的表观渗透率分形模型[J].东北石油大学学报,2014,38(2):69-73.]
[19]Ma Xinfang,Zhang Shicheng,Lang Zhaoxin.Calculation of fractal dimension of pore structure by using subsection regression method[J].Journal of China University of Petroleum:Edition of Natural Science,2004,28(6):54-56,70.[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].石油大学学报:自然科学版,2004,28(6):54-56,70.]
[20]Yu Boming,Xu Peng,Zou Mingqing,et al.Transport Physics for Fractal Porous Media[M].Beijing:Science Press,2014:5-90.[郁伯铭,徐鹏,邹明清,等.分形多孔介质输运物理[M].北京:科学出版社,2014:5-90.]
[21]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):886-893.[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):886-893.]
[22]Zhang Xian’guo,Zhang Tao,Lin Chengyan.Pore structure evaluation of low permeability reservoir based on pore fractal features[J].Lithologic 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.]
[23]Jiang Wen,Tang Shuheng,Zhang Jingping,et al.Characteristics of pore permeability of highly metamorphic bone coal[J].Coal Geology & Exploration,2013,41(4):9-13.[姜文,唐书恒,张静平.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(4):9-13.]
[24]Jia Chengzao,Zou Caineng,Li Jianzhong.Assessment criteria,main types,basic features and resource prospects of the tight oil in China[J].Acta Petrolei Sinica,2012,33(3):343-350.[贾承造,邹才能,李建忠.中国致密油评价标准·主要类型·基本特征及资源前景[J].石油学报,2012,33(3):343-350.]
[25]Chen Zhuanzhuan,Gao Yongli,Gaoi Hui.The microscopic pore-throat structure characteristic of Chang 7 in Longdong area[J].Journal of Xi’an Shiyou University:Natural Science Edition,2014,29(2):29-33.[陈转转,高永利,高辉.陇东地区长7致密储层微观孔喉结构特征[J].西安石油大学学报:自然科学版,2014,29(2):29-33.]
[26]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.]
[27]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.]