Research Article

High-Temperature Performance of Asphalt Mixtures: Preliminary Analysis for the Standard Technical Index Based on Gray Relational Analysis Method

Table 6

Data preprocessing for GRA.

ParametersUnmodifiedModified
PEN20PEN50PEN90SBS I-CSBS I-DTPS

Original sequence
DS (times/mm)54151986580460381509965
Penetration (25°C) (0.1 mm)235491745769
Softening point (°C)64.252.447.76666.980.7
Viscosity (60°C) (Pa·s)3315394198273604975582459
(64°C) (OB)15.115.091.093.204.404.63
(64°C) (OB)18.945.751.215.959.410.30
(kPa−1) (64°C)0.23911.39763.430.33280.13690.0473
(kPa−1) (64°C)0.20091.06352.1750.03890.02970.0046
(%) (64°C)23.612.61.591.388.496.7
(%) (64°C)32.325.720.894.397.399.6
ZSV-Sybilski (Pa·s)1.711.562.085622.278845.3417.46
ZSV-Williamson (Pa·s)13483.18106.44630.8110841.616295.425233.5
ZSV-Carreau (Pa·s)6694.853926.12599.1710718.516365.825453.8
(64°C) (RTFOT)27.598.811.985.206.855.87

Normalized sequence
DS (times/mm)1.060.390.110.901.591.95
Penetration (25°C) (0.1 mm)0.380.881.481.210.931.13
Softening point (°C)1.020.830.761.051.061.28
Viscosity (60°C) (Pa·s)0.120.010.011.001.833.03
(64°C)2.710.910.200.570.790.83
(64°C)2.200.670.140.691.101.20
(kPa−1) (64°C)0.261.503.690.360.150.05
(kPa−1) (64°C)0.341.823.720.070.050.01
R3.2 (%) (64°C)0.450.240.031.741.691.85
(%) (64°C)0.520.420.341.531.581.62
ZSV-Sybilski (Pa·s)0.000.000.002.333.660.01
ZSV-Williamson (Pa·s)1.080.650.050.871.312.03
ZSV-Carreau (Pa·s)0.630.370.061.011.542.40
(64°C) (RTFOT)2.940.940.210.550.730.63