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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。
In this paper, the application of finite element method in perforation research is discussed. The establishment of the perforation finite element mathematical model and the numerical solution method are discussed in detail. The mathematical model considers hole depth, hole diameter, hole density, phase, format, contamination depth, degree of contamination, compaction zone thickness, degree of compaction, wellbore radius, boundary radius, ratio of vertical and radial permeability of formation, bottom hole pressure , Boundary pressure, production pressure and other fourteen parameters on the perforating well productivity ratio, skin factor. The grid sensitivity analysis method is used to ensure the convergence and precision of numerical calculation. The flow rule of perforation core target obtained by the finite element method is illustrated, and the influence of perforation parameters on PR is analyzed.