Considering complex shape and non-uniform distribution of fracturing fractures in shale reservoir

on the basis of multiple migration mechanisms a unified apparent permeability model is developed

incorporating two types of pore apparent permeability based on multiple migration mechanisms. This model serves as the foundation for establishing a gas reservoir-fracture-wellbore coupled seepage model

utilizing real space source function theory and pressure drawdown superposition principle. Through simulations and analyses

the study investigates the effects of micro seepage

fracture shape and non-uniform distribution of fractures on shale gas productivity. The demonstrate that micro seepage significantly impacts shale gas well production

with daily gas production being 20.3 % higher when considering micro seepage during the initial stage compared to neglecting it. Furthermore

the productivity of wells with complex fractures is lower than that of wells with ideal rectangular fractures

and star-shaped fractures exhibit the lowest productivity. The non-uniform distribution of fractures also affects the productivity of horizontal wells

and an optimal fracture layout is identified. The model takes into account both the micro seepage mechanism and actual fracturing fracture of shale gas

providing valuable guidance for the productivity research of fractured horizontal wells in shale gas reservoir.