中文摘要：

水平井的多级式的水力的断裂是在从紧密的页岩气体水库恢复气体的主要刺激方法，并且阶段间距决心是在折断设计的关键问题之一。水力的破裂的开始和繁殖将引起应力再分配并且可以在水库激活自然破裂。由于在导致的压力的计算的分析方法的限制，我们建议一个数字方法，它合并水力的破裂和 wellbore 的相互作用，并且在不同阶段间距下面在水库分析压力分发。模拟结果显示下列：(1 ) 因为它没考虑在水力的破裂和水平 wellbore 之间的相互作用，导致的压力从分析方法被过高估计。(2 ) 水力的破裂在水库在水平 wellbore 的方向在压力的再分配上有可观的效果。在对在水力的断裂以后的水平 wellbore 垂直的方向的压力在 situ 应力与原版相比有一个次要的变化。(3 ) 在破裂之中的压力干扰极大地从 wellbore 与阶段间距和距离被连接。当破裂长度是 200m，和阶段时，间距是 50m，压力再分配可以由于舞台断裂转移原来的压力模式，它可能激活自然破裂以便产生一个复杂破裂网络。

英文摘要：

Multi-stage hydraulic fracturing of horizontal wells is the main stimulation method in recovering gas from tight shale gas reservoirs, and stage spacing deter- mination is one of the key issues in fracturing design. The initiation and propagation of hydraulic fractures will cause stress redistribution and may activate natural fractures in the reservoir. Due to the limitation of the analytical method in calculation of induced stresses, we propose a numerical method, which incorporates the interaction of hydraulic fractures and the wellbore, and analyzes the stress distri- bution in the reservoir under different stage spacing. Simulation results indicate the following： （1） The induced stress was overestimated from the analytical method because it did not take into account the interaction between hydraulic fractures and the horizontal wellbore. （2） The hydraulic fracture had a considerable effect on the redis- tribution of stresses in the direction of the horizontal wellbore in the reservoir. The stress in the direction per- pendicular to the horizontal wellbore after hydraulic frac- turing had a minor change compared with the original in situ stress. （3） Stress interferences among fractures were greatly connected with the stage spacing and the distance from the wellbore. When the fracture length was 200 m, and the stage spacing was 50 m, the stress redistribution due to stage fracturing may divert the original stress pat- tern, which might activate natural fractures so as to generate a complex fracture network.