An Analytical Formulation for Correcting the Relative Permeability of Gas-Water Flow in Propped Fractures Considering the Effect of Brinkman Flow

· The viscous shear from fracture walls and the resistance from propping materials induce Brinkman flow in propped fractures. · Neglecting the effect of Brinkman flow can cause significant errors in evaluating the gas-water relative permeability in propped fractures. · An analytical formulation is proposed to correct the relative permeability of gas-water flow in propped fractures considering Brinkman flow.