For reservoirs with high rock brittleness coefficient and uniform development of natural fractures, three basic modes are developed to characterize fracture network created by volume fracturing in horizontal wells. Flow from reservoir to wellbore is divided to two parts:reservoir flow and network flow. Principle of potential superposition is used to derive reservoir flow equation. Finitedifference method is adopted to establish flow equation within finite conductivity network. Star-Delta transformation is used to tackle interplay of flow between hydraulic and natural fractures. A comprehensive flow model is presented by coupling matrix equations of two flows. It indicates that as stimulated horizontal length is kept constant, effect of quantity of fracture stages and perforation clusters in each stage on production is more significant than that of half-length and flow conductivity of hydraulic fracture, which is, in turn, more dominant than that of density and flow conductivity of natural fractures. Finally, a field example shows that little difference exists between measured and calculated results.

Considering artificial fracture,inclined wellbore and formation coupling flow,flow to directional well is divided into three parts： Flow from reservoir to fracture,flow in fracutre and variable mass flow in production pipe. Principles of potential superposition and mirror reflection as well as the concept of infinitesimal line congruence are used to model flow from reservoir to fracture and potential distribution in reservoir. By discreting fracuture to 2D grid,boundary theory is used to couple flow dynamics in fracture with variable mass flow in inclined pipe. A comprehensive coupling model for finite-conductivity fractured directional well is shown.Iteration method is used to solve the model. A practical case shows that for vertical fracutre result of coupling model agrees with that of Prats method. Fracture conductivity and inclined angle have great effects on productivity and pressure.