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Abstract Fracture continuum arises recently as a fast and efficient technique to model fluid flow and solute transport in fractured geologic media. This study aims at developing a 2-dimensional model to solve the contaminant transport on the discrete fracture network as a reference solution. Additionally, developing a technique to map the fracture network onto a finite difference grid to solve conservative solute transport with preserving the transport characteristics for both fine and coarse grid resolutions when compared to the reference solution. The study is performed in a stochastic framework using monte carlo analysis. The results provide a conductivity correction factor to preserve the transport characteristics on the mapped domain for a high densely fracture network |