Long-Term Pavement Performance Computed Parameter: Frost Penetration
APPENDIX B. EICM MODELING INPUTS
Table 12. EICM inputs.
| Site_ID |
16_1010 |
23_1026 |
27-4040 |
27_6251 |
31_3018 |
34_0506 |
34_0902 |
36_0801 |
39_0901 |
46_0804 |
46_9187 |
50_1002 |
56_1007 |
|---|
| Start Year |
1996 |
1996 |
1996 |
1996 |
1996 |
1996 |
1996 |
1996 |
1996 |
1996 |
1996 |
1996 |
1996 |
| Start Month |
Sept. |
Sept. |
Sept. |
Sept. |
Sept. |
Sept. |
Sept. |
Sept. |
Sept. |
Sept. |
Sept. |
Sept. |
Sept. |
| Length Analysis Period (day) |
3195 |
3287 |
3287 |
3287 |
3287 |
3287 |
3287 |
3287 |
3287 |
3287 |
3287 |
3287 |
3287 |
| Time Increment Output (hour) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
| Time Increment Calculation (hour) |
0.1 |
0.1 |
0.1 |
0.1 |
0.1 |
0.1 |
0.1 |
0.1 |
0.1 |
0.1 |
0.1 |
0.1 |
0.1 |
| Latitude (degrees. minutes ) |
43.4 |
44.34 |
47.18 |
47.27 |
40.4 |
40.17 |
40.43 |
43.21 |
40.38 |
45.56 |
44.46 |
44.07 |
44.3 |
| Longitude (degrees. minutes) |
-112.07 |
-70.17 |
-93.43 |
-94.54 |
-99.2 |
-74.51 |
-74.1 |
-77.55 |
-83.07 |
-100.25 |
-102.03 |
-73.1 |
-108.55 |
| Short-wave absorptivity |
0.8 |
0.75 |
0.8 |
0.9 |
0.8 |
0.8 |
0.8 |
0.95 |
0.8 |
0.8 |
0.8 |
0.8 |
0.9 |
| Upper limit freezing (°F) |
32 |
32 |
32 |
32 |
32 |
32 |
32 |
32 |
32 |
32 |
32 |
32 |
32 |
| Lower limit freezing (°F) |
30.2 |
30.2 |
30.2 |
30.2 |
30.2 |
30.2 |
30.2 |
30.2 |
30.2 |
30.2 |
30.2 |
30.2 |
30.2 |
| Pavement Layer 1 |
| Material |
Asphalt |
Asphalt |
PCC |
Asphalt |
PCC |
Asphalt |
Asphalt |
Asphalt |
Asphalt |
Asphalt |
Asphalt |
Asphalt |
Asphalt |
| Thickness (inches) |
5.2 |
9.8 |
8.1 |
9 |
11.9 |
9.7 |
12.4 |
4.9 |
19.7 |
7.2 |
5.9 |
8.5 |
2.8 |
| Number of elements |
5 |
10 |
8 |
9 |
12 |
10 |
12 |
5 |
20 |
7 |
6 |
9 |
3 |
| Thermal Conductivity (BTU/hr-ft-°F) |
0.67 |
0.67 |
1 |
0.67 |
1 |
0.67 |
0.67 |
1.5 |
1.5 |
0.67 |
0.67 |
0.67 |
0.67 |
| Heat capacity (BTU/lb-°F) |
0.22 |
0.22 |
0.2 |
0.22 |
0.2 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
| Unit Weight (pcf) |
148 |
148 |
150 |
148 |
150 |
148 |
148 |
148 |
148 |
148 |
148 |
148 |
148 |
Table 12. EICM inputs—continued.
| Site_ID |
16_1010 |
23_1026 |
27-4040 |
27_6251 |
31_3018 |
34_0506 |
34_0902 |
36_0801 |
39_0901 |
46_0804 |
46_9187 |
50_1002 |
56_1007 |
| Pavement Layer 2 |
| Material |
Asphalt |
|
|
|
|
|
|
|
|
|
|
|
|
| Thickness (inches) |
5.7 |
|
|
|
|
|
|
|
|
|
|
|
|
| Number of elements |
6 |
|
|
|
|
|
|
|
|
|
|
|
|
| Thermal Conductivity (BTU/hr-ft-°F) |
0.67 |
|
|
|
|
|
|
|
|
|
|
|
|
| Heat Capacity (BTU/lb-°F) |
0.22 |
|
|
|
|
|
|
|
|
|
|
|
|
| Unit Weight (pcf) |
148 |
|
|
|
|
|
|
|
|
|
|
|
|
| Soil Layer 1 |
| Material |
A-1-a |
A-1-a |
A-1-a |
A-1-a |
A-1-a |
A-1-a |
A-1-a |
A-1-a |
A-1-a |
A-1-a |
A-1-a |
A-1-a |
A-1-a |
| Thickness (inches) |
12 |
17.6 |
6 |
10.2 |
5.6 |
10 |
5 |
8.4 |
6 |
12 |
11 |
25.8 |
6.8 |
| Number of Elements |
12 |
17 |
6 |
10 |
5 |
10 |
5 |
9 |
6 |
12 |
11 |
26 |
6 |
| Porosity |
0.25 |
0.25 |
0.25 |
0.3 |
0.25 |
0.25 |
0.25 |
0.25 |
0.25 |
0.25 |
0.1 |
0.25 |
0.24 |
| Saturated permeability (ft/hr) |
0.0583 |
0.0583 |
0.0583 |
0.0583 |
0.0583 |
0.0583 |
0.0583 |
0.0583 |
0.0583 |
0.0472 |
0.0416 |
0.138 |
0.074 |
| Dry unit weight (pcf) |
127 |
127 |
127 |
127 |
127 |
127 |
127 |
127 |
127 |
127 |
127 |
127.2 |
127.1 |
| Dry thermal conductivity (BTU/hr-ft-°F) |
0.8 |
0.8 |
0.8 |
0.8 |
0.8 |
0.8 |
0.8 |
0.8 |
0.8 |
0.8 |
1.6 |
0.8 |
0.8 |
| Dry heat capacity (BTU/ft3-°F) |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
| Initial VMC (%) |
15.26 |
15.26 |
15.26 |
2 |
15.26 |
15.26 |
15.26 |
15.26 |
15.26 |
15.26 |
8 |
15.08 |
15.07 |
| Fredlund–af |
7.2555 |
7.2555 |
7.2555 |
7.2555 |
7.2555 |
7.2555 |
7.2555 |
7.2555 |
7.2555 |
7.05034 |
6.94777 |
7.33241 |
7.29231 |
| Fredlund–bf |
1.234 |
1.234 |
1.234 |
1.234 |
1.234 |
1.234 |
1.234 |
1.234 |
1.234 |
1.28391 |
1.29552 |
1.69057 |
1.41089 |
| Fredlund–cf |
0.83152 |
0.83152 |
0.83152 |
0.83152 |
0.83152 |
0.83152 |
0.83152 |
0.83152 |
0.83152 |
0.83784 |
0.83536 |
0.81675 |
0.82058 |
| Fredlund–hr |
117.4 |
117.4 |
117.4 |
117.4 |
117.4 |
117.4 |
117.4 |
117.4 |
117.4 |
152.2 |
169.6 |
108 |
113.6 |
| Plasticity Index (PI) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
152.2 |
4 |
1 |
1 |
| D60 (mm) |
10.82 |
10.82 |
10.82 |
10.82 |
10.82 |
10.82 |
10.82 |
10.82 |
10.82 |
10.82 |
10.82 |
10.82 |
10.82 |
| Passing #4 (%) |
44.7 |
44.7 |
44.7 |
44.7 |
44.7 |
44.7 |
44.7 |
44.7 |
44.7 |
44.7 |
44.7 |
44.7 |
44.76.8 |
| Passing #200 (%) |
8.7 |
8.7 |
8.7 |
8.7 |
8.7 |
8.7 |
8.7 |
8.7 |
8.7 |
8.7 |
8.7 |
4 |
|
| Soil Layer 2 |
| Material |
A-2-4 |
A-2-4 |
A-2-7 |
A-2-4 |
A-2-4 |
A-2-4 |
A-1-a |
A-2-4 |
A-7-5 |
A-7-5 |
A-6 |
A-2-4 |
A-2-4 |
| Thickness (inches) |
300 |
300 |
300 |
300 |
300 |
300 |
5 |
300 |
12 |
300 |
300 |
300 |
300 |
| Number of Elements |
150 |
150 |
150 |
150 |
150 |
150 |
5 |
150 |
12 |
150 |
150 |
150 |
150 |
| Porosity |
0.27 |
0.29 |
0.14 |
0.29 |
0.26 |
0.27 |
0.25 |
0.27 |
0.39 |
0.38 |
0.36 |
0.27 |
0.27 |
| Saturated permeability (ft/hr) |
0.0004.39 |
0.000792 |
1.55E-06 |
1 |
0.00364 |
0.000439 |
0.04 |
0.000439 |
4.28E-06 |
3.29E-06 |
1.95E-05 |
0.000439 |
0.00326 |
| Dry unit weight (pcf) |
123.4 |
120.2 |
120.8 |
119.8 |
124 |
123.4 |
127 |
123.4 |
102 |
104.8 |
107.9 |
123.4 |
123.1 |
| Dry thermal conductivity (BTU/hr-ft-°F) |
0.8 |
0.8 |
0.8 |
3 |
0.8 |
0.8 |
0.8 |
0.8 |
0.8 |
0.8 |
0.8 |
0.8 |
0.8 |
| Dry heat capacity (BTU/ft3-°F) |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
0.22 |
| Initial VMC (%) |
18.39 |
19.65 |
12 |
19.77 |
17.88 |
18.39 |
15.26 |
18.39 |
32.69 |
31.24 |
39.57 |
18.39 |
18.54 |
| Fredlund–af |
9.28522 |
10.2125 |
76.5824 |
5.74545 |
5.85556 |
9.28522 |
7.2555 |
9.28522 |
125.312 |
117.641 |
108.409 |
9.28522 |
13.4953 |
| Fredlund–bf |
0.643865 |
0.3 |
0.926038 |
1.95497 |
1.8823 |
0.643865 |
1.234 |
0.643865 |
0.57723 |
0.621817 |
0.68007 |
0.643865 |
0.567768 |
| Fredlund– cf |
3.09113 |
3.72724 |
0.42491 |
0.71916 |
1.08956 |
3.09113 |
0.83152 |
3.09113 |
0.10524 |
0.15556 |
0.21612 |
3.09113 |
3.18708 |
| Fredlund–hr |
189.6 |
100 |
500 |
100 |
110 |
189.6 |
117.4 |
189.6 |
500 |
500 |
500 |
189.6 |
160 |
| Plasticity Index (PI) |
2 |
0 |
14 |
0 |
1 |
2 |
1 |
2 |
24 |
19 |
16 |
2 |
1 |
| D60 (mm) |
0.3216 |
0.3216 |
5.73 |
2 |
0.3477 |
0.3216 |
10.82 |
0.3216 |
0.02798 |
0.02798 |
0.05364 |
0.3216 |
0.3038 |
| Passing #4 (%) |
87.2 |
87.2 |
55.4 |
87.2 |
87.2 |
87.2 |
44.7 |
87.2 |
94 |
94 |
93.5 |
87.2 |
87.2 |
| Passing #200 (%) |
22.4 |
22.4 |
27.4 |
10 |
5 |
22.4 |
8.7 |
22.4 |
70.5 |
70.5 |
63.2 |
22.4 |
30 |
| Soil Layer 3 |
| Material |
|
|
|
|
|
|
A-2-4 |
|
A-7-5 |
|
|
|
|
| Thickness (inches) |
|
|
|
|
|
|
300 |
|
300 |
|
|
|
|
| Number of Elements |
|
|
|
|
|
|
150 |
|
150 |
|
|
|
|
| Porosity |
|
|
|
|
|
|
0.27 |
|
0.39 |
|
|
|
|
| Saturated permeability (ft/hr) |
|
|
|
|
|
|
0.000439 |
|
4.28E-06 |
|
|
|
|
| Dry unit weight (pcf) |
|
|
|
|
|
|
123.4 |
|
102 |
|
|
|
|
| Dry thermal conductivity (BTU/hr-ft- °F) |
|
|
|
|
|
|
0.8 |
|
0.8 |
|
|
|
|
| Dry heat capacity (BTU/ft3-°F) |
|
|
|
|
|
|
0.22 |
|
0.22 |
|
|
|
|
| Initial VMC (%) |
|
|
|
|
|
|
18.39 |
|
32.69 |
|
|
|
|
| Fredlund–af |
|
|
|
|
|
|
9.28522 |
|
125.312 |
|
|
|
|
| Fredlund–bf |
|
|
|
|
|
|
0.643865 |
|
0.57723 |
|
|
|
|
| Fredlund–cf |
|
|
|
|
|
|
3.09113 |
|
0.105242 |
|
|
|
|
| Fredlund–hr |
|
|
|
|
|
|
189.6 |
|
500 |
|
|
|
|
| Plasticity Index (PI) |
|
|
|
|
|
|
2 |
|
24 |
|
|
|
|
| D60 (mm) |
|
|
|
|
|
|
0.3216 |
|
0.02798 |
|
|
|
|
| Passing #4 (%) |
|
|
|
|
|
|
87.2 |
|
94 |
|
|
|
|
| Passing #200 (%) |
|
|
|
|
|
|
22.4 |
|
70.5 |
|
|
|
|
| Deep ground temperature (°F) |
51 |
48.1 |
40.88 |
40.55 |
51.43 |
53.74 |
55.25 |
47.85 |
54 |
44.87 |
48.13 |
46.4 |
46.03 |
1 inch = 25.4 mm
32 °F = 0 °C (Deduct 32, then multiply by 5, then divide by 9).
Note: For soil layers, The Fredlund Soil Water Characteristic Curve model is used to relate soil suction to water content. Fredlund parameters af and hr have units of psi. Parameters of bf and cf are unitless. Parameter af is a measure of air entry, the soil suction at which the soil becomes less than 100-percent saturated. Parameters bf and cf determine the rate of change of moisture content versus suction as it transitions from saturated to unsaturated (no free water). hr defines the slope of the curve after free water is removed.
