多孔介质中Sisko非牛顿流体流动特性的分形研究  

Fractal study on seepage properties of non-Newtonian Sisko fluid flowing through porous media

作　　者：员美娟[1,2] 

机构地区：[1]武汉科技大学理学院,武汉430081 [2]中国石油大学油气资源与探测国家重点实验室,北京102249

出　　处：《华中师范大学学报（自然科学版）》2013年第4期487-490,共4页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(41202094);中国石油大学油气资源与探测国家重点实验室开放基金(PRP/open-1206);西南石油大学油气藏地质及开发工程国家重点实验室开放基金(PLN1113);武汉科技大学冶金矿产资源高效利用与造块湖北省重点实验室开放基金(Mk201210)

摘　　要：研究了多孔介质中Sisko非牛顿流体的渗流特性.基于服从分形分布的弯曲毛细管束模型,运用分形几何理论推导出了该流体在多孔介质中的流量和平均流速的分形解析解,从而实现了对Sisko流体在多孔介质中的流动特性与多孔介质的微结构参数相互关系的定量描述,解析表达式中的每一个参数都具有明确的物理意义.研究所得分形模型有助于深刻理解Sisko等非牛顿流体在多孔介质内流动的物理机理.The seepage properties of the non-Newtonian Sisko fluid flowing through the porous media were studied. Based on the model of the fractal properties of tortuous cap- illary, an analytical solution to the relation between the rate of flow and the average flow velocity was obtained for the fluid flowing through the porous media with the appli- cation of the fractal theory, which realized the quantitative description to the relation be tween the properties of the Sisko fluid and the parameters of the micro structure of the porous media. All of the parameters in the proposed expressions have the explicit physi- cal meanings. The analytical expressions of the solution will contribute to reveal the physical principles for the Sisko and other non-Newtonian fluid flow in the porous media.

关 键 词：分形 非牛顿流体 平均流速 Sisko流体 多孔介质 

分 类 号：O357.3[理学—流体力学]