Temperature of rock formation and fracturing fluid during the hydraulic fracturing process

The difference in temperature at the surface and at the depth of hydraulic fracturing is of the order of 80 degrees, which imposes higher requirements on the rheological properties of hydraulic fracturing fluid. Under the influence of temperature, the viscosity changes that affects the final shape of the fracture and the dynamics of its propagation. It is necessary to build a model that makes it possible to calculate the temperature of the liquid and the rock layer in the vicinity of the crack, consuming minimum of computational resources and using available data on the thermal properties of the rock and hydraulic fracturing fluid.