幂律流体在裂缝-孔隙双重多孔介质中渗流的分形模型

A fractal model of permeability for power-law fluids in porous-fracture dual media

基于分形理论与技术和广义Darcy定律,考虑孔隙毛细管与裂缝间的窜流效应,提出了幂律流体在裂缝-孔隙双重介质中的有效渗透率分形模型.研究结果表明:幂律流体在裂缝-孔隙双重介质中的有效渗透率不仅与幂律流体特性有关,而且还与裂缝-孔隙双重介质微结构参数、沿基质与裂缝压强差之比有关,同时进一步分析了这些参数对幂律流体有效渗透率的影响.

The fractal model of the effective permeability for the power-law fluid in fracture-matrix dual porosity medium is developed based on the fractal theory and technology and the generalized Darcy's law by considering the transfer of power-law fluids from porous matrix to fracture.The results show that the effective permeability for the power-law fluid in fracture-matrix dual porosity medium is dependent not only on the properties of power-law fluids,but also on the microstructural parameters of fracture-matrix dual porosity medium and the ratio ofΔpm/Δpf of the pressure difference along the porous matrix to that along the fracture.Furthermore the impacts of these factors on the effective permeability for the power-law fluid are also analyzed.