新疆石油地质

新疆石油地质 ›› 2004, Vol. 25 ›› Issue (4): 418-419.

• 油藏工程 • 上一篇    下一篇

用分形理论研究孔隙结构的对数正态分布

马新仿, 张士诚, 郎兆新   

  1. 石油大学石油天然气工程学院,北京102249
  • 收稿日期:2003-09-02 修回日期:2003-12-06 发布日期:2021-01-06
  • 作者简介:马新仿(1972-),男.湖北天门人,讲师,博士,油气田开发。联系电活:010-89734959
  • 基金资助:
    田家"973"项目“大幅度提高石汕采收率的基础研究"部分成果(编号:G1999022509)

On Log Normal Distribution of Pore Structures by Using Fractal Theory

MA Xin-fang, ZHANG Shi-cheng, LANG Zhao-xin   

  1. Institute of Oi-Gas Engineering, University of Petroleum, Beijing 102249, China
  • Received:2003-09-02 Revised:2003-12-06 Published:2021-01-06

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摘要： 应用分形几何的原理,根据储集层岩石孔隙分布和毛细管压力曲线的分形几何模型,建立了孔隙大小分布概率密度函数的分形表征方法。根据毛管压力曲线资料,用该方法计算了孔隙结构的分形维数,进而计算了孔隙结构的概率密度分布函数,使孔隙大小的分布规律从传统的定性描述转变为定量化计算。计算结果表明,用分形理论计算孔隙大小分布的概率密度函数及其变化规律不仅简单易行,而且精度很高。

关键词: 储集层, 孔隙结构, 分形几何, 岩石, 概率, 分布

Abstract: Pore structures in reservoir rocks possess good fractal characters. The fractal dimension of pore structure can be used to qnantitatively describe its complexity and variation. Its distribution accords with its log normal distribution. This paper establishes a fractal characterization method of probability density function of pore size distribution by applying fractal geometry principle, according to the fractal geometry model of pore distribution and capillary pressure curves,which allows the conventional qualitative description to tnrn into quantitative estimation of the pore sized distribution. The estimation shows that this method is easier for use and higher in accuracy.

Key words: reservoir, pore structnre, fractal geometry, rock, probability, distribution

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