Water permeability tests (WPTs) based on Darcy's law ignore inertial effect, yielding biased assessments. This study examines self-healing effects on water resistances of cracked and healed ultra-high performance concretes (UHPCs) with varying steel fiber contents, using a nonlinear WPT based on Forchheimer's law. Permeability coefficients (κv and κi) quantify viscous and inertia energy consumptions, minimizing the inertial effects on measuring intrinsic transmittance constant parameter (α) and healing efficiency. 3D digital crack analysis determines hydraulic tortuosity (τH) via linear flow simulation. Results indicate that increased steel fibers enhance water resistance with higher τH and reduced α. Self-healing significantly reduces the transport capacity of cracked UHPCs, decreasing κv and altering κi, which affects crack flow behaviors. Inertial effects on healing efficiency are quantified. A modified Arrhenius model relates κv and κi, characterizing inertial effects. This approach offers a strategy for properly assessing water resistance and healing efficiency of cracked concrete.

中文翻译：

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非线性流动条件下不同钢纤维掺量的裂纹UHPCs自修复对透水性的影响


基于达西定律的透水性测试 （WPT） 忽略了惯性效应，从而产生了有偏差的评估。本研究使用基于 Forchheimer 定律的非线性 WPT 检查了具有不同钢纤维含量的开裂和愈合超高性能混凝土 （UHPC） 的自修复效果。磁导率系数（κv 和 κi）量化了粘性和惯性能耗，最大限度地减少了对测量本征透射率常数参数 （α） 和愈合效率的惯性影响。3D 数字裂纹分析通过线性流动模拟确定水力弯曲度 （τH）。结果表明，增加的钢纤维增强了耐水性，τH 更高，α更低。自修复显著降低了裂纹 UHPC 的传输能力，降低了 κv 并改变了 κi，从而影响了裂纹流动行为。对治疗效率的惯性影响被量化。改进的 Arrhenius 模型将 κv 和 κi 关联起来，表征惯性效应。这种方法提供了一种正确评估开裂混凝土的耐水性和愈合效率的策略。