中文摘要：

运用分形理论给出了非牛顿流体中的赫切尔-巴尔克莱流体在单毛细管中的渗流分形模型．此模型将赫切尔-巴尔克莱流体的流量、流速、启动压力梯度和有效渗透率与流体的流变特性、毛细管的结构参数联系起来，并且不含经验常数，每个参数都具有明确的物理意义，所得分形模型更能体现出赫切尔-巴尔克莱流体流动的内在物理机理．

英文摘要：

A fractal model for Herschel-Bulkley fluid in a capillary is proposed based on the fractal theory. The proposed model relates flow rate, velocity, starting pressure gradient and effective permeability to the rheological characteristics of fluid and the structural parameters of capillary, and all parameters in the proposed expressions have clear physical meanings. The analytical expressions reveal the physical principle for Herschel-Bulkley fluid flow in a capillary.