Abstract: Long-interval multi-cluster fracturing is to achieve uniform and effective fracture opening and propagation for each cluster by increasing the interval length and controlling the number of perforation holes. In the process of fracturing，the phenomenon of hole erosion can cause imbalanced fluid feed among clusters，resulting in the failure of uniform fracture propagation. Directional perforating technology can mitigate the impact of hole erosion to a certain extent，but the pattern of hole erosion rate versus perforating angle is still unclear. In this paper，the hole erosion rate under directional perforating conditions is studied using the approach of numerical simulation to investigate the hole erosion pattern for different perforating angles by gradually analyzing from a single cluster to multiple clusters. The results show that the hole erosion rate is the minimum when the perforating angle is 90°，and the difference in hole erosion rates between different clusters is the minimum when the perforating angle is 80°，which can alleviate the negative impact of uneven fluid distribution due to hole erosion. The study findings are of significant reference for field fracturing jobs. 

Key words: hole erosion；directional perforating；long-interval multi-cluster；numerical simulation；Mahu 

摘要： 长井段多簇压裂是通过增加段长和控制射孔数的方法实现各簇裂缝均匀有效开启和扩展。在长井段多簇压裂过 程中，孔眼冲蚀现象会造成各簇间进液量失衡，导致裂缝无法均匀扩展。定向射孔技术可以在一定程度上缓解孔眼冲蚀造 成的影响，但是孔眼冲蚀速率与射孔角度间的规律目前尚不明确。基于数值模拟的方法对定向射孔条件下孔眼冲蚀速率 进行研究，由单簇至多簇进行逐步分析，探究不同射孔角度下的孔眼冲蚀规律。结果表明，当射孔角度为90°时，孔眼冲蚀速 率最低；当射孔角度为80°时，各簇间冲蚀速率差距最小，可缓解由于孔眼冲蚀导致液量分配不均的负面影响。研究结果对 现场压裂施工具有重要参考价值。

关键词: 孔眼冲蚀；定向射孔；长井段多簇；数值模拟；玛湖