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低渗透油藏多孔介质特征及模拟

Characteristics and Simulations of Porous Media in the low Permeable Reservoir

【作者】 景贵成

【导师】 贾振歧;

【作者基本信息】 大庆石油学院 , 油气田开发工程, 2002, 硕士

【摘要】 本文综合运用了渗流力学、分形几何学、渗滤理论、重正化群理论对低渗透油藏多孔介质结构特征及渗流进行了数值模拟综合分析,改进了传统多相渗流模拟方法。主要内容包括:应用分形几何学基本理论和规律,结合实际砂岩孔隙结构特征,建立孔隙空间分布、孔隙半径分布及孔喉半径分布的分形模型;由岩芯铸体资料确定大庆油田扶余油层天然岩芯孔喉配位数区间[ω1,ω2],采用随机产生的配位数,应用计算机语言绘制区域半径为R的模型,应用不确定的网络模拟配位数建立低渗透油藏多孔介质结构分形网络模型,并得到分形网络的分数维;由天然岩芯常规压汞资料数据,在双对数图上得一lg(g(v(rp))╱rp3)~lgr,直线,其斜率的相反数即为该岩芯的分形维数Ds,并讨论分形维数唯一性的沉积条件;结合大庆油田扶余油层岩石性质,根据渗透率概率分布曲线和分数布朗运动曲线的相似性,假设岩石渗透率遵循Γ(x)分布,推导渗透率随机分布公式,并验证其正确性;综合运用渗流力学、分形几何学、渗滤理论、重正化群理论,建立低渗透油藏流体分布分形模型,应用C语言编制程序计算,拟合出压力分布、驱替特征曲线,建立分形宏观网络渗流场,分析模拟计算指进触发机制,评价各影响,模拟计算获得剩余油饱和度分布,并用传统渗流模型计算结果验证分形网络模型的正确性。

【Abstract】 Structure of porous media and multi-scale simulation of porous flow in less permeable reservoir are studied by flow mechanics in porous media, fractal geometry, percolation and renormalization group theory. Distribution of fingering and residual oil is comprehensively analyzed by experiment and computer simulation. Furthermore, a modified classical model to simulate multi-phase flow is presented. In general, this paper has carried out research as the following: Taking use of the principal theory and law of fractal geometry with the pore structural characteristics of the real reservoir sandstone, the stochastic fractal network models of spatial distribution of pores, the fractal distribution of pore radius and throat size as well as relevant frequency models are constructed actually. Through the test cores cast data, we can determine the range [ ] of coordinate number of pore throat, and by the usage of the coordinate number produced stochastically, paint the network with zone radius R by computer language, then, construct the fractal model of structure of porous media in less permeable reservoir, thus, resolve the uncertainty problems with the network simulation coordinate number and gain the fraction dimension of fractal network. Capillary pressure data are introduced to verify the above model and to determine the fractal dimension of throat size distribution, through getting a line with in double-log coordinate system. And the reverse of its slope is the fractal dimension Ds. The meaning of characteristic curve of real reservoir rock and the relation of multi-fractal characteristics of throat size and lithology are discussed. The flow mechanics in porous media, fractal geometry, percolation and renormalization group theory are comprehensively taken advantage to construct the fractal flow distribution model in less permeable reservoir. Moreover, Borland C language is used to encode the programs to calculate and match out the pressure curves in formation, displacement characteristic curves and build up the seeping field about macroscopical fractal network, to gain the saturation distribution with the residual oil. Then, comparing with the results calculated by classical seeping model, the exactness of fractal network models are verified exactly in the end.

  • 【分类号】TE312
  • 【被引频次】9
  • 【下载频次】2475
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