Journal of Jilin University(Engineering and Technology Edition) ›› 2018, Vol. 48 ›› Issue (6): 1703-1711.doi: 10.13229/j.cnki.jdxbgxb20170520

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Prediction model on rutting equivalent temperature for asphalt pavement at different depth

LI Yi(),LIU Li-ping,SUN Li-jun()   

  1. The Key Laboratory of Road and Traffic Engineering, Ministry of Education, Tongji University,Shanghai 201804,China
  • Received:2017-05-22 Online:2018-11-20 Published:2018-12-11

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Abstract:

Rutting is closely related to the pavement temperature field. As a result, using the concept of rutting equivalent temperature to predict rutting distress is a common method. Different from previous studies, this study puts forward a calculation method of the rutting equivalent temperature for asphalt pavement at different depth, which is based upon the pre-established prediction models of asphalt temperature field and rutting distress. Meanwhile, the rutting equivalent temperature prediction model considering regional differences and asphalt material properties is initially established and tested. Compared with the existing rutting equivalent temperature prediction model, the proposed model reflects the influences of different depth, different regions and different types of asphalt materials. It is demonstrated that this model has better applicability.

Key words: road engineering, asphalt pavement, rutting prediction, equivalent temperature, prediction model

CLC Number: 

  • U416

Table 1

Hourly average air temperature and solar radiation in Shanghai on 20th August"

时 间 气温/℃ 辐射/(kW·m-2)
0:00~1:00 26.9 0.0000
1:00~2:00 26.4 0.0000
2:00~3:00 26.2 0.0000
3:00~4:00 26.6 0.0000
4:00~5:00 26.9 0.0094
5:00~6:00 28.0 0.1657
6:00~7:00 29.1 0.2599
7:00~8:00 29.6 0.3214
8:00~9:00 29.6 0.2172
9:00~10:00 28.8 0.0659
10:00~11:00 28.2 0.1478
11:00~12:00 27.9 0.1647
12:00~13:00 27.5 0.2123
13:00~14:00 27.7 0.2837
14:00~15:00 27.2 0.0461
15:00~16:00 26.8 0.0233
16:00~17:00 27.3 0.0511
17:00~18:00 27.5 0.0035
18:00~19:00 27.4 0.0000
19:00~20:00 27.4 0.0000
20:00~21:00 26.8 0.0000
21:00~22:00 26.8 0.0000
22:00~23:00 27.1 0.0000
23:00~24:00 27.3 0.0000

Table 2

Hourly pavement temperature at 0.5 cm and 1.5 cm depth in Shanghai on 20th August ℃"

时 间 0.5 cm 1.5 cm
0:00~1:00 35.84 35.20
1:00~2:00 35.62 34.99
2:00~3:00 35.41 34.78
3:00~4:00 35.21 34.58
4:00~5:00 35.10 34.46
5:00~6:00 35.00 34.23
6:00~7:00 35.19 34.34
7:00~8:00 35.80 34.90
8:00~9:00 36.83 36.01
9:00~10:00 37.80 37.10
10:00~11:00 38.22 37.46
11:00~12:00 38.21 37.44
12:00~13:00 37.80 37.00
13:00~14:00 37.21 36.35
14:00~15:00 37.07 36.40
15:00~16:00 36.77 36.11
16:00~17:00 36.31 35.63
17:00~18:00 36.07 35.42
18:00~19:00 35.86 35.21
19:00~20:00 35.65 35.01
20:00~21:00 35.68 35.04
21:00~22:00 35.68 35.04
22:00~23:00 35.59 34.94
23:00~24:00 35.51 34.87

Table 3

Hourly modulus of the first sublayer in Shanghai on 20th August MPa"

时 间 情况A 情况B 情况C
0:00~1:00 2682.05 3115.90 3115.90
1:00~2:00 2723.72 3159.06 3159.06
2:00~3:00 2766.26 3203.05 3203.05
3:00~4.00 2806.28 3244.34 3244.34
4:00~5:00 2829.15 3267.90 3267.90
5:00~6:00 2849.56 3288.92 3288.92
6:00~7:00 2811.09 3249.30 3249.30
7:00~8:00 2688.40 3122.48 3122.48
8:00~9:00 2495.37 2921.48 2921.48
9:00~10:00 2326.30 2743.80 2743.80
10:00~11:00 2256.78 2670.28 2670.28
11:00~12:00 2257.76 2671.32 2671.32
12:00~13:00 2326.14 2743.64 2743.64
13:00~14:00 2427.44 2850.28 2850.28
14:00~15:00 2451.38 2875.39 2875.39
15:00~16:00 2506.64 2933.27 2933.27
16:00~17:00 2591.35 3021.66 3021.66
17:00~18:00 2637.23 3069.38 3069.38
18:00~19:00 2677.96 3111.67 3111.67
19:00~20:00 2717.86 3153.00 3153.00
20:00~21:00 2712.24 3147.18 3147.18
21:00~22:00 2712.84 3147.81 3147.81
22:00~23:00 2731.27 3166.88 3166.88
23:00~24:00 2745.61 3181.70 3181.70

Table 4

Hourly maximum shear stress at 1.5 cm depth in Shanghai on 20th AugustMPa"

时 间 情况A 情况B 情况C
0:00~1:00 0.08789 0.08755 0.08705
1:00~2:00 0.087 75 0.087 41 0.086 91
2:00~3:00 0.087 60 0.087 26 0.086 76
3:00~4:00 0.087 43 0.087 10 0.086 6
4:00~5:00 0.087 28 0.086 95 0.086 46
5:00~6:00 0.086 33 0.086 01 0.085 54
6:00~7:00 0.085 91 0.085 60 0.085 13
7:00~8:00 0.086 04 0.085 73 0.085 26
8:00~9:00 0.087 42 0.087 09 0.086 60
9:00~10:00 0.088 91 0.088 57 0.088 06
10:00~11:00 0.088 85 0.088 51 0.088 00
11:00~12:00 0.088 77 0.088 44 0.087 93
12:00~13:00 0.088 26 0.087 93 0.087 43
13:00~14:00 0.087 45 0.087 13 0.086 63
14:00~15:00 0.088 56 0.088 22 0.087 71
15:00~16:00 0.088 46 0.088 12 0.087 61
16:00~17:00 0.087 97 0.087 63 0.087 13
17:00~18:00 0.088 01 0.087 68 0.087 17
18:00~19:00 0.087 88 0.087 54 0.087 04
19:00~20:00 0.087 73 0.087 39 0.086 89
20:00~21:00 0.087 77 0.087 44 0.086 94
21:00~22:00 0.087 77 0.087 44 0.086 94
22:00~23:00 0.087 69 0.087 35 0.086 85
23:00~24:00 0.087 63 0.087 29 0.086 79

Fig.1

Calculation process of accumulated rutting distress"

Table 5

Calculation values of rutting equivalent temperature at different depth"

亚层
/mm		 上海等效温度/℃ 沈阳等效温度/℃
情况A 情况B 情况C 情况A 情况B 情况C
1 40.55 43.40 43.37 39.43 42.01 41.97
2 36.80 39.50 39.45 35.87 38.38 38.34
3 35.35 37.92 37.87 34.44 36.85 36.80
4 34.55 37.03 36.99 33.61 35.95 35.91
5 34.07 34.03 36.46 33.10 33.07 35.35
6 33.80 33.77 36.16 32.79 32.76 35.01
7 33.68 33.65 36.02 32.62 32.59 34.81
8 33.66 33.63 36.00 32.55 32.52 34.72
9 33.73 33.70 36.06 32.55 32.53 34.71
10 33.84 33.83 36.19 32.60 32.58 34.75
11 33.99 33.98 33.95 32.67 32.65 32.63
12 34.16 34.14 34.13 32.75 32.74 32.72
13 34.31 34.30 34.29 32.82 32.81 32.80
14 34.43 34.42 34.42 32.85 32.85 32.84
15 34.50 34.49 34.49 32.83 32.83 32.83
16 34.48 34.49 34.49 32.73 32.73 32.73
17 34.38 34.39 34.39 32.53 32.53 32.84
18 34.17 34.17 34.18 32.21 32.21 32.22

Fig.2

Calculated values and basic prediction model values of rutting equivalent temperature in Shanghai and Shenyang under case A"

Fig.3

Improved model considering regional difference"

Fig.4

Mean annual air temperature and mean annual earth temperature of 36 regions"

Fig.5

Calculated values of different conditions in Shanghai and Shenyang"

Fig.6

Relationship between rutting equivalent temperatures of base asphalt and modified asphalt"

Fig.7

Comparison between calculated values and predicted values"

Fig.8

Comparison between calculated rutting distress and predicted rutting distress"

Fig.9

Calculated rutting distress and predicted rutting distress of different pavement structures"

Fig.10

Comparison of prediction results between different modes"

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