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摘要: 根据多孔沥青路面体积模量的衰变过程, 计算了龚帕斯预测模型的3个参数, 提出了体积模量随时间衰变的预测模型, 并分析了空隙率随时间的变化规律。分析结果表明: 对于使用期为12年的多孔沥青路面, 描述体积模量衰变的理论曲线与体积模量衰变的预测曲线基本一致, 理论值与预测值的最小误差率为0.126%, 最大误差率为1.997%;空隙率随时间呈对数减小, 并在空隙率小于16%后减小的趋势趋于平缓。可见, 模型的预测结果符合体积模量的衰变规律, 可应用于多孔沥青路面的体积模量衰变特性分析。Abstract: According to the reduction process of bulk modulus for porous asphalt pavement, the three parameters of Gompertz prediction model were calculated, a prediction model of the reduction of bulk modulus was proposed, and the change rules of air void content with time were analyzed.The result indicates that the theoretical curve and predicted curve of bulk modulus reduction are basically consistent for porous asphalt pavement with 12 years' service life.The minimum error rate between the predicted value and the theoretical value is 0.126%, and the maximum error rate is 1.997%.The air void content decreases logarithmically and the decreasing trend is smooth as the air void content is less than 16%.Therefore, the prediction model is feasible to study the bulk modulus reduction of porous asphalt pavement.
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Key words:
- pavement engineering /
- porous asphalt pavement /
- Gompertz model /
- bulk modulus /
- reduction rules
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图 1 三种情况下的多孔沥青混凝土力系
Figure 1. Force systems of porous asphalt concrete under three cases
图 3 理论与预测体积模量误差率随时间的变化
Figure 3. Change trend of error rate between KdT and KdP versus t
表 1 体积模量参数的理论值
Table 1. Theoretical values of bulk moduli
t/年 KΦ/MPa Φ/% KdT/MPa 1 360.815 20.000 1 374.531 2 375.245 18.286 1 513.939 3 389.678 16.571 1 670.931 4 404.110 15.913 1 763.671 5 418.543 15.783 1 817.144 6 421.429 15.652 1 836.132 7 424.316 15.522 1 855.176 8 427.202 15.391 1 874.433 9 430.089 15.261 1 893.747 10 432.975 15.130 1 913.279 11 435.812 15.000 1 932.721 12 438.748 14.870 1 952.595 
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表 2 体积模量参数的预测值
Table 2. Prediction values of bulk moduli
t/年 KdP/MPa KdT/MPa 误差/MPa 误差率/% 1 1 397.578 1 374.531 -23.047 -1.677 2 1 538.029 1 513.939 -24.090 -1.591 3 1 646.553 1 670.931 24.378 1.459 4 1 728.457 1 763.671 35.214 1.997 5 1 789.245 1 817.144 27.899 1.535 6 1 833.824 1 836.132 2.308 0.126 7 1 866.240 1 855.176 -11.064 -0.596 8 1 889.669 1 874.433 -15.236 -0.813 9 1 906.529 1 893.747 -12.782 -0.675 10 1 918.625 1 913.279 -5.347 -0.279 11 1 927.285 1 932.721 5.436 0.281 12 1 933.474 1 952.595 19.121 0.979
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表 3 空隙率的预测值
Table 3. Prediction values of air void contents
t/年 ΦP/% t/年 ΦP/% t/年 ΦP/% 1 19.567 5 16.142 9 15.109 2 17.898 6 15.681 10 15.067 3 16.916 7 15.386 11 15.064 4 16.380 8 15.207 12 15.062
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