The development of multistage fracturing technology in horizontal wells is a great impulsion to the successful development of unconventional resources. The hydraulic fractures distribute regularly along the horizontal wellbore, forming a seepage channel for fluids in tight gas reservoir and greatly improving the productivity of horizontal wells. Based on Green function and Neumann product principle, we establish a flow model of fractured horizontal well coupled with anisotropic tight gas reservoir under both unsteady state and pseudo-steady state and propose a method to solve this model. The calculation results show that flow rate of horizontal well under the early unsteady state is larger than that under the pseudo-steady state. There is no interference among fractures in the early unsteady state, and flow rate is in direct proportion to fracture numbers. Affected by frictional and acceleration pressure drop, flow rate of the end fractures is obviously larger than other fractures in pseudo-steady state. The permeabilities in different directions have great influence on well flow rate distribution. With the increasing K_x, the interference between the fractures is reduced, and the flow distribution is more balanced. When K_y becomes larger, the interference between fractures are stronger, and the “U” shape distribution of the wellbore flow is more significant.

水平井多段压裂技术的发展，极大地推动了非常规资源的成功开发。水力压裂沿水平井眼规律分布，形成致密气藏中流体的渗流通道，大大提高了水平井的产能。基于格林函数和诺伊曼乘积原理，建立了非稳态和拟稳态下压裂水平井与各向异性致密气藏耦合的渗流模型，并提出了求解该模型的方法。计算结果表明，早期非稳态下水平井的流量要大于拟稳态下的水平井的流量。在早期的不稳定状态下，骨折之间没有干涉，流速与裂缝数成正比。受摩擦和加速压降的影响，端部裂缝的流速明显大于拟稳态下的其他裂缝。不同方向的渗透率对井流量分布有很大的影响。随着增加K _x，减少了裂缝之间的干扰，并且流动分布更加平衡。当K _y变大时，裂缝之间的干扰会更强，井眼流的“ U”形分布会更加明显。