摘要
本文根据弹性断裂力学的叠加原理,建立了地应力场和流体压力作用下水力压裂中孔边轴对称裂纹尖端应力强度因子K_1的近似解析表达式。这些近似公式在工程意义上是相当精确的,与可以获得的数值结果的比较表明其相对误差仅百分之几,为水力压裂中破裂压力的断裂力学方法预测和裂缝扩展过程的模拟提供了快速、简单且相当精确的方法。
Based on the principle of superposition of linear elastic fracture mechanics,this paper derives the approximate analytical expressions of stress intersity factors (KI) at the crack tips of axisymmetric fractures emanating from cylindrical holes with hydraulic fracturing under in -situ stress field and fluid pressure. These formulars,with engineering accuracy,are essentially exact. The approximation is generally accurate with - in a few percent, as demonstrated by comparison with available unmerical results. The anulytical formulas proposed here provide a fast,simple and reasonably accurate method for predicting the breakdown pressure by fracture mechanics concept and modelling the process of fracture propagation during hydraulic fracturing
关键词
水力压裂
地层
应力
强度
因子
hydraulic fracturing
axisymmetric fractures emanating from cylindrical holes
stress intensity factor
principle of superposition
analytical expressions
