Theoretical Analysis of Proppant Embedment and Fracture Conductivity in Fractured Reservoir

Abstract Proppant embedment mainly accounts for diminishing fracture aperture and conductivity. The conductivity decrease could greatly restrict fluid flow, thereby affecting the well performance. In this paper, new mathematical models are derived to calculate proppant after hydraulic fracturing. These take three crucial factors into consideration, including instantaneous elastic deformation, change over time, effective geometry corresponding proppants amount. Fitting correction is performed theoretical model based on experimental data. results show that proposed matches with in proportion viscosity, modulus of inverse closure pressure, while rock large value formation viscosity have slight impact Moreover, increase it takes longer come steady state. can provide some insights size selection sand ratio optimization fracturing treatment, also a good method predict