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基于分形理论的煤层瓦斯渗透率参数估计方法
Estimation method of the methane gas permeability in coal seam based on fractal theory
【摘要】 基于分形理论和达西定律,研究了孔隙的弯曲分形维数和表面积分形维数与瓦斯渗透率参数之间的关系;数值模拟了煤层孔隙的弯曲分形维数和表面积分形维数对瓦斯渗透率参数的影响.研究表明,瓦斯渗透率随着孔隙弯曲分形维的增加而降低,随着孔隙表面分形维和最大毛细管直径的增加而增加;应用分形理论可以获得煤层孔隙发育程度和分布特征比较精确的定量信息.
【Abstract】 The relationships between the permeability of the methane gas in coal seam and surface fractal dimension and tortuosity fractal dimension are proposed based on fractal theory and Darcy Law.The effects of the surface fractal dimension and the tortuosity fractal dimension on the permeability is numerically simulated.The result shows that the permeability decreases with the increase of the tortuosity fractal dimension,and the permeability increases with the increase of the surface fractal dimension and the largest diameter of the pore.The development condition and distribution characteristic of the pores in the coal seam can be precisely described using the fractal theory.
【Key words】 methane gas; seepage; permeability; pore area fractal dimension; tortousity fractal dimension;
- 【文献出处】 西安石油大学学报(自然科学版) ,Journal of Xi’an Shiyou University(Natural Science Edition) , 编辑部邮箱 ,2007年02期
- 【分类号】TD712
- 【被引频次】16
- 【下载频次】312