The transport and placement of proppant within fractures in the process of hydraulic fracturing significantly impact oilfield productivity. In this study, by using the Cross constitutive equation and the Eulerian-granular multiphase flow model, we conducted numerical simulations of sand-carrying flow within fractures with considering fluid filtration loss along the fracture wall. The model was experimentally validated using a custom-designed fracture test facility. The results indicate that, for Cross fluid, an increase in wall filtration loss rate leads to a gradual reduction in the volume fraction of proppant within the fracture, accompanied by a decrease in sand bank height although the overall difference is small. This study further confirms that considering wall filtration, the use of small-particle-size, low-density proppants significantly enhances their placement efficiency at the distal end of fractures and reduce the risk of sand blockage.
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Journal of Chongqing University 2025, 48(11): 119-132
Published: 01 November 2025
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