论文标题
基于平均的韧性均匀化方法用于径向液压骨折
Averaging-based approach to toughness homogenisation for radial hydraulic fracture
论文作者
论文摘要
在传播液压骨折的背景下,考虑了断裂韧性的均匀化。利用径向(一分钱形状)模型,以纳入随着时间的推移的粘度 - 扭结状态过渡的影响。研究了基于时间平衡的均质化策略。这种方法结合了瞬时裂缝速度,这意味着在逐步裂纹的情况下,应保持有效。对于周期性的韧性分布,该方法的有效性得到了证明,包括利用高度精确的求解器的韧性分布。
The homogenisation of the fracture toughness is considered in the context of a propagating hydraulic fracture. The radial (penny-shape) model is utilized, in order to incorporate the impact of the viscosity-toughness regime transition over time. A homogenisation strategy based upon temporal-averaging is investigated. This approach incorporates the instantaneous fracture velocity, meaning that it should remain effective in the case of step-wise crack advancement. The effectiveness of the approach is demonstrated for periodic toughness distributions, including those which are unbalanced, utilizing a highly accurate solver.