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In the past decade a plethora of research in academia and industry has focused on understanding the fundamental flow behavior of naturally fractured shale gas reservoirs (NFR). Naturally fractured reservoirs are mostly modelled using dual porosity models, in such models the reservoir volume is described by a low permeability shale matrix block surrounded by a fracture system. In which, the matrix and fracture system is each modeled as a separate homogeneous medium. However, existing dual porosity models cannot justify high production rates from existing shale gas reservoirs. Observations from fractured shale gas reservoirs reveal that there exist sets of orthogonal fractures (induced micro fractures), with different properties from the natural fractures which must be accounted for.This study aims to modify the existing triple porosity model proposed for naturally fractured shale gas reservoirs under the assumption of a fully pseudo steady state flow regime between the three contiguous porous mediums. A new analytical solution for the wellbore pressure and rate transient under closed outer boundary conditions, without the assumption of sequential flow between the three contiguous media has been successfully developed. To conclude this study, a thorough sensitivity analysis of some the dimensionless parameters related to the newly derived model on the rate transient behavior would be studied. This work would contribute to understanding of the physics of shale gas flow mechanism and help in better characterization of naturally fractured shale gas reservoirs.

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