基于路表实测温度的路面温度场估计模型

Research on Models for Calculating Pavement Temperature Based on

摘要:

从路面温度变化具有周期性为出发点，建立了根据路表温度推算路面结构任一深度温度与自路表至某一深度的层平均温度的估算模型，并通过引入深度传导时间τz以消除了路面材料导温系数不同引起差异。根据广州、宁波、大同三地的路面结构温度场观测站为期1年的路面温度实测数据，以模型估算温度与实测温度之残差的标准差最小为控制目标，确定了模型中四个待定参数：短时间温度变化的时长t1、基线温度变化的时长t2、短时温度变幅的衰减系数k1、基线温度变幅的衰减系数k2的回归式。拟合结果表明，广州、宁波、大同三地的两类路面(沥青路面、水泥混凝路面)不同深度温度及自路表至某一深度的层平均温度的模型估计值与实测值之残差的标准差仅在1ºC左右，最大不超过1.52℃；残差均值小于0.5ºC。因此，预估公式具有较好的精度与普适性。

Abstract:

Based on the periodicity of the pavement temperature change, the estimation model is built to calculate instantaneous temperature at any depth of the pavement structure, and also the layer average temperature from the surface to certain depth. By bringing in depth conduction time τz,, the model could narrow the discrepancy due to the temperature conductivity difference of pavement materials. According to one-year pavement temperature data collected by pavement temperature observation station from Guangzhou, Ningbo and Datong, the model is applied to confirm four coefficients by estimating the least residual standard deviation between calculated temperature and the measured temperature: t1 as the time length of temperature change in short time, t2 as the time length of baseline temperature change, k1 as attenuation coefficient of short-term temperature amplitude, and k2 the attenuation coefficient of baseline temperature amplitude. Fitting results show that the residual standard value between the calculated and measured temperature is about 1℃,no further than 1.52℃, and the average residual is less than 0.5 ℃, at any or certain depth of bituminous and concrete pavement in Guangzhou, Ningbo and Datong. Thus, the predicted formula is precise and commonly applicable.