Coal gas is generated through biogenic and thermogenic processes during coalification. The two porosity systems exist in coal; micropores contains gas in adsorbed form, whereas, macropores (cleats) act as a transport media. Diffusion of gas molecules within matrix & matrix-matrix interaction is governed by Fick’s law of diffusion. In this work in-depth analysis has been made regarding gas flow dynamics and governing processes controlling such mechanisms. Further, compositional modelling has been conducted to investigate the effect of matrix to fracture flow parameter on overall flow dynamics and recovery. The numerical modeling of the flow behavior in coal seams is more complicated than conventional reservoir, as they differ in terms of storage and flow mechanisms. In such modellings, reservoir is divided into matrix and fracture system, where gas is absorbed in matrix and fractures acts as transport medium. The obtained results show that fracture permeability and matrix-fracture flow parameter strongly effects the overall field production and hence recovery.