... are modeled using a dynamic gridding approach. Different transportation mechanisms are considered to describe gas flow in shale, including Knudsen diffusion, ab/desorption, and convection. The low-velocity non-Darcy flow of water is used in inorganic pores to analyze the effect of water flow. A pre-stage...

... Currently, the previous models cannot reasonably describe all known bulk gas transport mechanisms. The Klinkenberg model is only valid for continuous flow and slip flow ( Klinkenberg 1941 ). The Javadpour model is a linear sum for slip flow and Knudsen diffusion, and the coupling between the two...

... co-existing physical factors, such as (1) severe geological heterogeneities of the permeable media due to the variation among fractures, inorganic rock matrix, and organic matters, (2) Knudsen diffusion and slippage effects in nano-scale pores, (3) high-velocity turbulent flow in the perforations...