Interface roughening during the dissolution of porous media

A cellular automaton for the dissolution of a porous medium by an invading solvent has been studied. We present results of numerical simulations descr ibing the kinetic roughening of the solvent-solid interface formed during t he dissolution of a porous medium by an invading solvent front in (2+1) dim ensions. For void fractions below the percolation threshold the value of th e roughness exponent (alpha approximate to 0.38) and the value of the growt h exponent (beta approximate to 0.26) characterising the solvent-solute int erface are consistent with those obtained for surface growth processes fall ing within the universality class described by the Kardar-Parisi-Zhang equa tion.