文慧俭;闫林;姜福聪;杨晶霞;

• 1:大庆石油学院地球科学学院,中国石油勘探开发研究院,大庆油田有限责任公司第七采油厂,大庆油田有限责任公司第一采油厂 黑龙江大庆163318,北京100083,黑龙江大庆163517,黑龙江大庆163257

摘要：

选取4块低孔低渗储层的岩心样品,进行了岩心分析和压汞实验,获取了压汞曲线特征参数;利用分形理论分别以含水饱和度和水银饱和度对岩心样品进行了2种分形维数的计算.结果表明:低孔低渗储层的微观孔隙结构应为多分形结构;2种方法所计算的分形维数并不相同,而且对于同一块岩心的不同孔径范围也具有不同的分形维数;由水银饱和度所计算的分形维数可以反映储层物性特征,而由含水饱和度所计算的分形维数不能反映储层物性特征.

关键词： 分形;分形维数;毛细管压力曲线;孔隙结构;渗透率;低孔低渗储层

Abstract: We choose four typical rock examples in low porosity and low permeability reservoir.Core analysis and mercury instruction tests were conducted in the library where capillary pressure data were acquired from the tests.Fractal geometry theory was adopted to calculate the fractal dimension of core by using water saturation and mercury saturation.It is proved that the pore networks is multi-fractal structure in low porosity and low permeability reservoir.The fractal dimension derived through the two methods is not the same,and there are different fractal dimensions for the same core in different lined range of pore and throat.A conclusion that the fractal dimension calculated by using mercury saturation is in accordance with reservoir parameters.

Keywords: fractal;fractal dimension;capillary pressure curve; pore structure;permeability;low porosity and permeability reservoir

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参考文献：

• [1]THOMPSON A H,KATZ A J,KROHN C E.The micro-geometry and transport properties of sedimentary rock[J].Adv.Phys.,1987,36(5):625-694.
• [2]WONG P Z,HOWARD J,LIN J S.Surface roughening and the fractal nature of rock[J].Phys.Rev.Lett.,1986,57(5):637-640.
• [3]KROHN C E,THOMPSON A H.Fractal sandstone pore:automated measurements using scanning-electron-microscope images[J].Phy.Rev.B,1986,33(9):6 366-6 374.
• [4]PFEIFER P,ANNIR D.Chemistry in nointegral dimensions between two and three[J].Chemphys,1983,79(7):3 369-3 558.
• [5]HECHT A.Appolonian packing and fractal shape of grains improving geomechanical properties in engineering geology[J].Pure andApplied Geophysics,2000,157:487-504.
• [6]KROHN C E.Sandstone fractal and euclidean pore volume distributions[J].Journal of Geophysical Research,1988,93(B4):3 297-3 305.
• [7]ANGULO R F,GONZALEZ H.Fractal dimensions from mercury intrusion capillary tests[C].SPE23965,1992.
• [8]RIEU M,SPOSITO G.Fractal fragmentation:soil porosity and soil water properties[J].Soil Sci Sco Am J,1991,55:1 231-1 238.
• [9]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):15-18.
• [10]LI K.Characterization of rock heterogeneity using fractal geometry[C].SPE86975,2004.
• [11]蔺景龙,刘爽,赵海波.基于分形理论预测砂岩储层渗透率[J].大庆石油学院学报,2004,28(5):1-5.
• [12]MOULU J C,VIZIKA O,KALAYDJIAN F,et al.A new model for three phase-relative permeabilities based on a fractal represen-tation of porous medium[C].SPE38891,1997.