从压裂液在裂缝中的层流流动机理出发,考虑缝宽与缝长方向的压力梯度,对裂缝中的压裂液流速进行了计算。以固液两相流的流动理论为基础,运用托马斯定律对含砂压裂液的表观粘度进行了简化计算。考虑了砂粒与裂缝壁面的相互作用,从理论上建立了求解裂缝中含砂液流动阻力的计算模型,进而对不同含砂浓度、含砂粒径对压裂液流动性能的影响进行了分析,为计算压裂液在裂缝中的流动阻力提供了理论依据。

The paper studies the flow characteristics of prop-laden fluid in vertical hydraulic fracture. At first, the velocity of fluid flow can be derived from the mechanism of fracture fluid laminar flow and the distributed principle of the fluid pressure in the fracture. And then, the apparent viscosity of prop-laden fluid is calculated reduce based on the kinetic theory of prop-laden fluid together applying Thomas's law. Furthermore, by studying the interaction between the wall of fracture and proppant, we can setup the formula which presents the flow resistance of prop-laden fluid in hydraulic fracture, so that the capability of different proppant concentration and the grain size can be accessed. The paper provides a theoretical method for the further study in prop-laden fluid flow resistance in hydraulic fracture.