基于对数正态分布的水泥恒温水化动力学模型

Dynamics Model for Hydration of Cement Curing Under Isothermal Condition Based on Log-normal Distribution

首先通过化学反应动力学原理推导出水泥恒温水化反应速率方程,得出利用水泥水化度α表达的水化反应速率方程;然后联合运用两种试验方法测定水泥恒温(20±1℃)养护水化的累计水化反应热,进而推导计算出水化反应速率随水化程度的变化曲线。最后根据曲线的发展变化规律选择合适的函数拟合计算,从而提出吻合度较高的对数正态分布密度Log-noemal模型,并计算出Log-noemal模型与测试结果的相关系数r高达0.937 3,得出Log-noemal模型比较适合评价水泥恒温水化动力学模型(反应速率的变化规律)。

A hydration rate equation for cement curing under isothermal condition was inferred firstly through the principle of chemical reaction dynamics in this article.Hydration kinetic equations for cement were represented by the degree of hydration.Then accumulated heat of hydration of cement curing under 20±1 ℃ condition was tested by union two test methods.Curve of hydration rate based on hydration degree was deduced.According to the development of the curve,the appropriate fitting function was selected.As a result,the model of Log-noemal was advanced.Correlation coefficiency between test results and the model of Log-noemal is up to 0.954 7.So the model of Log-noemal is more suitable for the dynamics equation of hydration of cement curing under isothermal condition（changing law for the rate of hydration）.