路面温度日变化曲线的拟合

Curve fitting of diurnal temperature variations in pavements

为了分析路面温度日变化特征,基于广州、宁波、大同3个地区为期1年的地面气象资料和水泥、沥青路面的实测温度,在分析路表温度分布特征的基础上,建立了基于晴天的路表温度日变化的二阶段拟合模型,通过引入修正系数ξ对多云天气路表温度日变化模型进行了修正;不同深度处路面温度日变化的拟合通过对路表温度日变化模型的日最高、日最低温度出现时刻及二阶段交接点时刻作相应的滞后调整。最后进行了实测数据检验。研究结果表明：水泥和沥青路表温度拟合值与实测值之间的偏差平均值Av.为-0.25℃-0.15℃,均方根误差ST.为0.8℃-1.2℃;不同深度处水泥路面和沥青路面日温度变化拟合值的Av.为-0.5℃-0.5℃,ST.小于2℃;研究结果可作为路面温度场热传导方程的上边界条件,为路面温度区划提供依据。

Abstract： By using the measured data of temperatures in asphalt and concrete pavements placed at meteorological observation stations in Guangzhou, Ningbo and Datong cities as well as corresponding meteorological reports over 1 year, the characteristics of road surface temperatures were analyzed, and a two-phase fitting model for road surface temperatures was established upon diurnal temperature variations in pavements in sunny days. A coefficient ~ was introduced to modify the model of diurnal temperature variations in pavements in cloudy days. The diurnal temperature variations in pavements at different depths were well fitted through a back-shifting adjustment of the occurrence times of the minimum, maximum pavement temperatures and the joint point of two phrases. The verifications show that between measured temperatures and computed temperatures on road surface, the average errors Av. are --0.25 ℃-0.15 ℃, and the root-mean-square errors ST. are 0.8℃-1.2℃; at different depths the average errors Av. are --0.5 ℃-0.5 ℃ ,and the root-mean-square errors ST. are below 2 ℃ accordingly. The research results can be used as input of upper boundary conditions for heat conduction equations and as basis for pavement temperature zoning. 3 tabs, 6 figs, 15 refs.