针对页岩气藏中两条互相垂直裂缝井,运用2次保角变换,建立了考虑裂缝的有限导流和滑脱效应影响的页岩气藏裂缝井稳态产能数学模型.分析不同支撑剂粒径和裂缝穿透比条件下裂缝导流能力对产能动态曲线的影响,绘制了不同滑脱系数下的产能流入动态曲线,同时研究了不同滑脱系数下裂缝穿透比对产能的影响.%A mathematical model of steady productivity is established for wells in shale gas reservoir with orthogonal fractures through twice eonformal transformations by taking account of slippage effect and finite conductivity. The impact of fracture flow capacity on productivity curve under conditions of different proppant grain sizes and fracture penetration ratios is analyzed, the inflow performance curves are drawn under different slippage factors, and the effect of fracture penetration ratio on productivity is studied under different slippage factors. The results show that gas well productivity increases with fracture flow capacity (below 2 000) , increases linearly with fracture penetration ratio, and increases with slippage factor especially at low flowing pressure stage.
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