基于拟稳态等效井径模型、裂缝内变质量线性流模型、水平井筒变质量流模型和完井表皮系数模型,根据势叠加与连续性原理,建立压裂水平井裂缝变质量流与油藏渗流的耦合模型,分析裂缝半长、裂缝宽度、裂缝渗透率对水平井筒和裂缝的入流速度及压力降分布、压裂水平井产能的影响。结果表明:随裂缝半长、裂缝宽度、裂缝渗透率增大,水平井段入流速度、产量减小,压裂水平井和裂缝产量增大;裂缝宽度越宽、裂缝渗透率越大,裂缝入流速度越大,裂缝内压降损失越小;越靠近外侧的裂缝入流速度越快,裂缝内压力损失越大。
Based on uniform flux pseudo-steady state equivalent wellbore radius model, variable mass linear flow model of fractures, variable mass flow model of horizontal wellbore and completion skin factor model, according to the principle of potential superposition and continuity, a coupling model of variable mass flow in fractures and percolation in reservoir was developed. The influences of fractures half length, width and permeability on the inflow velocity and pressure drop distribution of horizontal wellbore, the inflow velocity and pressure drop distribution of fractures and the productivity of fractured horizontal wells were analyzed. The results show that, with the increase of fracture half length, width and permeability, the inflow velocity and output of horizontal section decrease and the output of whole fractured horizontal well and fractures increase. With the increase of fracture width and permeability, the inflow velocity of fracture increases and the pressure drop loss of fractures decreases. The inflow velocity and the pressure drop loss of fractures are relatively high when the fractures are far away from the wellbore.