Yield-stress is a problematic and controversial non-Newtonian flow phenomenon In this article, we investigate the flow of yield-stress substances through porous media within the framework of pore-scale network modelling We also investigate the validity of the Minimum Threshold Path (MTP) algorithms to predict the pressure yield point of a network depicting random or regular porous media Percolation theory as a basis for predicting the yield point of a network is briefly presented and assessed In the course of this study, a yield-stress flow simulation model alongside several numerical algorithms related to yield-stress in porous media were developed, Implemented and assessed The general conclusion is that modelling the flow of yield-stress fluids in porous media is too difficult and problematic More fundamental modelling strategies are required to tackle this problem in the future