We develop a model for the spreading of reacting liquid injected into a permeable rock. We examine reactions which lead to either precipitation and a decrease in permeability or dissolution and an increase in permeability. We focus on the case in which there is a density difference between the host reservoir fluid and the injected liquid. We illustrate the evolution of the shape of the reacting zone for a constant injection rate, and identify how the location of the leading edge of the injected liquid advances ahead of the reacted zone.

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