微生物自修复混凝土裂缝自修复动力学模型

Crack Self-healing Kinetic Model of Microbial Self-healing Concrete

为了对自修复混凝土自修复过程的详细描述建立统一的数学模型,成型了对照组和试验组试件,通过渗水法和图像处理技术记录了混凝土自修复效果随龄期延长的变化,初步拟合结果显示面积修复率和抗水渗透修复率成正比。以一级动力学模型为基础推导出自修复混凝土裂缝自修复动力学模型,拟合结果显示,该模型对自修复混凝土自修复效果随龄期增长的变化具有较好的拟合效果。以该模型为基础的数据拟合结果显示,对照组的面积修复率小于抗水渗透修复率,二者差值先增大后趋于稳定,试验组面积修复率大于抗水渗透修复率,二者差值先增大后减小。将试验组和对照组作差后可得到修复剂作用动力学模型,进一步求导后可得到修复剂作用修复速率模型,经分析后发现微生物修复剂对裂缝自修复的作用时间为27~32 d。

To establish a unified mathematical model for the detailed description of the self-healing process of self-healing concrete,the control group and experimental group specimens were formed,and the self-healing process of concrete was recorded by water infiltration method and image processing technology,the preliminary fitting results show that the area repair rate is in direct proportion to the resistance to water permeating repair ratio.Based on the first-order kinetic model,the crack self-healing kinetic model of microbial self-healing concrete is deduced.The data fitting results based on the model show that the area repair rate of the control group is less than the resistance to water permeating repair ratio,the difference between them increases first and then tends to be stable,the area repair rate of the experimental group is larger than resistance to water permeating repair ratio,and the difference between them increases first and then decreases.After the difference between the experimental group and the control group,the kinetic model of healing agent can be obtained.After further derivation,the healing rate model of the healing agent can be obtained.After analysis,it is found that the effect time of microbial healing agent on the crack self-healing is 27—32 d.