To resolve the issue of design for multi-stage and multi-cluster fracturing in multi-zone reservoirs, a new efficient algorithm for the planar 3D multi-fracture propagation model was proposed. The model considers fluid flow in the wellbore-perforation-fracture system and fluid leak-off into the rock matrix, and uses a 3D boundary integral equation to describe the solid deformation. The solid-fluid coupling equation is solved by an explicit integration algorithm, and the fracture front is determined by the uniform tip asymptotic solutions and shortest path algorithm. The accuracy of the algorithm is verified by the analytical solution of radial fracture, results of the implicit level set algorithm, and results of organic glass fracturing experiment. Compared with the implicit level set algorithm (ILSA), the new algorithm is much higher in computation speed. The numerical case study is conducted based on a horizontal well in shale gas formation of Zhejiang oilfield. The impact of stress heterogeneity among multiple clusters and perforation number distribution on multi-fracture growth and fluid distribution among multiple fractures are analyzed by numerical simulation. The results show that reducing perforation number in each cluster can counteract the effect of stress contrast among perforation clusters. Adjusting perforation number in each cluster can promote uniform flux among clusters, and the perforation number difference should better be 1-2 among clusters. Increasing perforation number in the cluster with high in situ stress is conducive to uniform fluid partitioning. However, uniform fluid partitioning is not equivalent to uniform fracture geometry. The fracture geometry is controlled by the stress interference and horizontal principal stress profile jointly.

为解决多区储层多段，多团裂的设计问题，提出了一种有效的平面3D多裂缝扩展模型新算法。该模型考虑了井眼-射孔-裂缝系统中的流体流动以及流体泄漏到岩石基体中的问题，并使用3D边界积分方程来描述固体变形。固-液耦合方程通过显式积分算法求解，裂缝前沿通过均匀尖端渐近解和最短路径算法确定。通过径向断裂的解析解，隐式水平集算法的结果以及有机玻璃断裂实验的结果，验证了该算法的准确性。与隐式级别集算法（ILSA）相比，新算法的计算速度更高。基于浙江油田页岩气形成水平井的数值案例研究。通过数值模拟，分析了多簇应力非均质性和射孔数分布对多裂缝增长和多裂缝流体分布的影响。结果表明，减少每个簇的射孔数量可以抵消射孔簇之间应力对比的影响。调节每个簇的射孔数可以促进簇之间的均匀通量，并且簇之间的射孔数差最好为1-2。在高地应力的簇中增加射孔数有利于均匀的流体分配。然而，均匀的流体分配并不等同于均匀的裂缝几何形状。断裂几何形状由应力干扰和水平主应力分布共同控制。