Numerical study non-isothermal filtration of compressible fluid in a low-permeable formation with hydraulic fracturing

The paper considers the results of calculating non-stationary pressure and temperature fields in a low-permeable reservoir with a hydraulic fracturing crack, taking into account the thermodynamic (Joule–Thomson and adiabatic) effects. The influence of the crack parameters (width and permeability) on the nature of the time variation in the temperature of the fluid flowing into the well is analyzed. It is shown that an increase in the pressure gradient in the crack with decreasing crack width and permeability enhances the Joule–Thomson effect. As a consequence, the temperature of the flowing liquid increase over time and the adiabatic cooling effect begins to prevail with increasing width and permeability of the crack, resulting in decrease in the temperature of the supplied fluid. The obtained features of the temperature field can be used in the diagnostics of hydraulic fracture parameters.