This book discusses the inhomogeneous model and its application in shale gas reservoirs,including: permeability prop-erties of single-fractured porous media, flow mechanisms in fractured porous medium, flow mechanisms in vuggy porous media, fluid flow in naturally fractured-vuggy carbonate reservoirs, shale gas transport and storage mechanism on micro-scopic scale, flow regimes of heterogeneous shale gas reservoirs, flowback regimes of fracturing fluid, and analysis of poten-tial contamination risk in a shallow aquifer from hydraulically-fractured shale.This book can be used as a reference for graduate students, senior college students, university teachers and resear-chers in the fields of computational fluid mechanics,science and engineering numerical analysis.