Vertical wells large scale fracturing and stimulated reservoir volume (SRV) treatments is an important method to enhance productivity of shale gas wells. Since the existence of micro-fractures in shale reservoirs, micro-fractures are opened and connect with hydraulic fracture after vertical wells large scale fracturing. Of course, some micro-fractures do not connect with hydraulic fracture, which leads that average permeability around wellbore is higher than reservoirs permeability. A radial composite model is used to describe the physical phenomenon with SRV region. Therefore, a semi-analytical model of hydraulic fractured well with induced fractures in composite shale gas reservoirs is established and solved by the Laplace transform, pressure drop superposition, vertex rate balance. Wellbore pressure solution of real domain is obtained by the Stehfest numerical inversion. The simplified model is verified by numerical solution and comparison result gets a good match. According to the difference between pressure and pressure derivative curve, wellbore pressure approximate solution of this model during pseudo-steady flowing regime is obtained. According to the wellbore pressure derivative curve and Blasingame production decline integral derivative curve, the seven flow regimes can be distinguished and curve characteristic of every flow regime is analyzed. The influence of hydraulic fracture conductivity, induced fracture number, Langmuir volume, SRV region radius, permeability ration et al. on wellbore pressure response, Blasingame production decline curve is discussed in detail. This work provides a method to calculate single well controlled reserves with short production time by pressure transient and Blasingame production decline analysis for hydraulic fractured wells with induced fracture.

直井大规模压裂增产改造是提高页岩气井产能的重要手段。由于页岩储层中存在微裂缝，在垂直井大规模压裂后，微裂缝被打开并与水力裂缝相连。当然，有些微裂缝不与水力压裂相连，导致井筒周围平均渗透率高于储层渗透率。径向复合模型用于描述具有SRV区域的物理现象。为此，通过拉普拉斯变换、压降叠加、顶点速率平衡等方法，建立并求解了复合页岩气藏中诱导裂缝水力压裂井的半解析模型。实域井筒压力解通过Stehfest数值反演得到。通过数值求解对简化模型进行验证，比较结果吻合良好。根据压力与压力导数曲线的差异，得到该模型在拟稳态流态下的井筒压力近似解。根据井筒压力导数曲线和Blasingame产量递减积分导数曲线，可以区分7种流态，分析每种流态的曲线特征。水力裂缝导流能力、诱导裂缝数、Langmuir 体积、SRV 区域半径、渗透率等的影响。关于井筒压力响应，详细讨论了 Blasingame 产量递减曲线。