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章利用叠加积分方法，先给出了在封闭油气藏中存在有限导流垂直裂缝的生产井井底压力分布公式，再根据Duhamel原理，计算出垂直裂缝井的弹性产量数据，用不稳态方法预测了单一的、存在有限导流垂直裂缝的气井产量，并利用Stehfest数值反演方法计算得出气井产量递减曲线、累计产量-产量关系曲线，定量讨论了裂缝导流能力、裂缝壁面表皮对气井产量、累计产量的影响，随后举例说明了其应用方法。研究表明，无量绸导流能力、裂缝壁面表皮对产量的影响主要集中在早、中期，当达到晚期拟稳态阶段后，对产量的影响是比较小的。另外，影响水力压裂垂直裂缝井产量的主要因素除了裂缝长度外，还有裂缝的无量纲导流能力，可能有这样的情形，低导流能力的长裂缝和高导流能力的短裂缝等效，从某种程度上说，裂缝的导流能力作用比裂缝缝长更加重要。

Study of Production Decline Curve for Wells with Vertical Fractures

Using stacking integration,the article derived the equation of buttonhole pressure distribution of producing wells limited diverting vertical fractures in closed oil and gas reservoirs,calculated the elastic production date of wells with vertical fractures according to Duhamel principle, estimated the production of each well with limited diverting vertical fractures by means of transient testing method, made the production decline curve and the cumulative production versus production curve by means of Stehfest numerical inversion method,and discussed the influence of fracture conductivity and fracture skin on the production and the cumulative production of a gas well quantitatively then explained the application with examples.The study shows the influence of the dimensionless conductivity and the fracture skin on the production mainly happens in the early and medium period,and the influence is a little in the late period when the pseudosteady state appears.Otherwise,the major factors to influence the production of the fractured well with vertical fractures are the fractures dimensionless conductivity as well as the fracture lengths.Maybe it happens that the low conductivity with long fractures is equal to the high conductivity with short fractures.In a sense, the effect of fracture conductivity is more important than that of fracture lengths.