In the present paper, the modeling of the filtrate drilling fluid as long as near well-bore damage has been taken into account. The damage experiments have been achieved to assess the initial/final permeabilities and fluid flow rate as well as damage ratio. Some drilling Binghamian fluid formulations which have been painstakingly prepared at laboratory ( Akkal et al., 2013 ), are applied into the numerical modelings to examine and choose the optimized drilling fluids. The coupled diffusion–advection and Forchheimer's equations are used for all numerical experiments including/excluding the inertia effects for both static and dynamic cases ( Civan, 2007 ). The cake formation thickness and filtrate fluid invasion through various samples have been investigated.
