Patent ID: 7657415

Claim:
A method comprising: modeling a stimulation treatment involving at least one chemical reaction in a porous medium including: describing the chemical reaction by coupling the reactions and mass transfer occurring at the Darcy scale and at the pore scale; considering the concentration c f of a reactant in the pore fluid phase and the concentration of said reactant c s at the fluid solid interface of a pore; quantifying a rate of transport of the reactant from a fluid phase to a fluid-solid interface inside the pore by a mass transfer coefficient by taking into account both the diffusive and convective contributions, wherein the diffusive contribution of the mass transfer coefficient is represented by an asymptotic Sherwood (Sh ∞ ) number for the pore, wherein the dimensionless mass transfer coefficient (Sherwood number Sh) is given by Sh=Sh ∞ +bRe p 1/2 Sc 1/3 wherein b is a constant depending on the pore length to pore diameter ratio, Re p is the pore Reynolds number, and Sc is the Schmidt number; and stimulating a subterranean formation comprising a porous medium based on the modeled stimulation treatment.