摘要
根据天然多孔介质微结构的分形标度律,建立了含井孔裂缝型多孔介质平面径向渗流的分形模型,推导了裂隙度和径向有效渗透率的解析表达式,讨论了裂隙度的径向分布规律和有效渗透率与分形维数以及径向距离的定量关系.结果表明:有效渗透率随孔隙分形维数的增大而增大,随迂曲度分形维数的增大而减小,还随径向距离的增大而减小.这些结果验证了模型的正确性.
According to the fractal scaling laws of the microstructure in natural fractured porous media, a fractal model was developed for the plane-radial seepage flow in the fractured porous media with wellbore. The fracture density and effective radial permeability were derived, and the radial distribution of the fracture density and the relationship between the effective radial permeability and fractal dimension were also discussed. The results indicate that the efffective radial ermeability increases with the fractal dimension for pores, but decreases with increases of the tortuosity fratal dimension and radial distance, and the validity of the present model is thus verified.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2012年第1期100-103,共4页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金重点资助项目(10932010)
浙江省自然科学基金资助项目(Y6110343)
浙江省钱江人才计划资助项目(2010R1022)
关键词
裂缝型多孔介质
渗流
分形维数
分形模型
径向
fractured porous media
seepage flow
fractals density
fractal model
radial
