Mathematical modeling of cold water injection into a depleted high-temperature geothermal reservoir

The injection of cold water into a geothermal reservoir containing superheated vapor is investigated in a one-dimensional approximation. Simplifying assumptions are used for a highly permeable porous medium to derive a self-similar solution and asymptotic estimates for the velocity of boiling front and for the temperature of phase transition. It is demonstrated that the results obtained using a simplified model agree well with the results of numerical simulation using the TOUGH2 computer codes.