Abstract: Finite element method has been used to study the flow characteristics of perforated wells and to investigate perforator penetration and damage mechanism in combination with core target experiments.Establishment of a finite element mathematical model for a core perforation and its numerical solution are presented in detail.The effect on productivity ratio and skin factor of depth of penetration,hole diameter,hole density,phase,format,damage depth,damage percentage,compaction zone depth,compaction perc entage,wellbore radius,drainage boundary radius,K_z/K_r ratio,bottom hole pressure,boundary pressure and production pressure difference is considered in the mathematical model.Grid sensitivity analysis ensures convergence and accuracy of calculation.An example is given to illustate the flow behavior of the core target,and the effect of perforating parameters on productivity ratio is analyzed.The table listed in API RP 43 is shown by calculation,electric modelling and core target experiment to be less reliable.Revision of these data will help evaluation of core flow efficiency.Compaction zone permeability can also be obtained by back calculation.

摘要： 本文探讨了有限元方法在射孔研究中的应用,较详细的论述了射孔有限元数学模型的建立及数值求解方法。数学模型考虑了孔深、孔径、孔密、相位、格式、污染深度、污染程度、压实带厚度、压实程度、井筒半径、边界半径、地层垂向与径向渗透率比值、井底压力、边界压力、生产压差等十四个参数对射孔井产率比、表皮系数的影响。利用网格敏感度分析方法保证了数值计算的收敛性和精度。举例说明了有限元法所得出的射孔岩心靶流动规律,和分析了射孔参数对PR的影响。