Abstract
Approximate analytical solutions are derived for cold water injection into single‐ and two‐phase “porous medium” geothermal reservoirs. A numerical geothermal reservoir simulator is used to verify the applicability of the analytical solutions for pressure transient analysis. In accordance with these numerical results the analytical solutions indicate that the pressure buildup behavior during injection into either a single‐phase liquid or two‐phase reservoir is governed by the kinematic viscosity of the cold injected fluid. The falloff pressures after cold water injection into a single‐phase liquid reservoir (except for very early shut‐in times) are primarily controlled by the kinematic viscosity of the in situ (hot) reservoir fluid. For two‐phase reservoirs, however, the falloff behavior is considerably more complex and cannot be fully described by the analytical solution developed in this paper.
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