Role of Pore-Size Distribution on Effective Rheology of Two-Phase Flow in Porous Media

Immiscible two-phase flow of Newtonian fluids in porous media exhibits a power law relationship between rate and pressure drop when the is such that viscous forces compete with capillary forces. When large enough for to dominate, there crossover linear relation drop. Different values exponent relating regime where two have been reported different experimental numerical studies. We investigate its immiscible steady-state pore size distributions. measure fluid saturations while changing shape span distribution. consider approaches, analytical calculations using bundle model simulations dynamic pore-network modeling. In case pores do not interact each other, we find always equal 3/2 irrespective distribution type. For dynamical network on other hand, varies continuously within range whereas width controls point.