Table 2. Material properties used in numerical simula-
tions.
Conductivity Density Specific heat Latent heat
(J/hr m C) (kg/m3)
(J/kg C)
(J/m3)
Sand
Frozen
5616
1836
784.8
45.3 106
Unfrozen
6228
1836
940.32
Water
Frozen
7984.8
917.0
2096.2
334 106
Unfrozen
2170.8
998.2
4183.92
Extruded polystyrene
93.46
28.84
1339.8
`95'96 ledge
9242
2700
879
Ledge
6208
2700
1375
LABOSSIERE STREET RESULTS
The 19951996 entries show the frost penetra-
tion simulation using the corrected thermal con-
The three winters when this project was run-
ductivity for the ledge and the uncorrected high
ning were not relatively cold ones. However,
whatever the temperatures, if the numerical
difference between assuming pure ledge conduc-
model is valid, it should be able to mimic accu-
tivity and adopting a more realistic conductivity.
rately what was recorded. Figure 13 shows the
The measured maximum frost depth was 1.32 m
maximum frost penetration measured at the con-
(4.3 ft). The simulation using the corrected con-
trol string inserted in ledge on Labossiere Street,
ductivity gave a depth of 1.4 m (4.6 ft) and the
compared with the simulated frost penetration.
uncorrected conductivity resulted in a depth of 2
The winter of 19941995 has two entries. The first
m (6.6 ft), 43% higher than the uncorrected con-
shows the maximum frost penetration up to a
ductivity. This underscores the importance of
prolonged warming spell (with near-record
having accurate physical properties for the mate-
warm temperatures in January) of 1.04 m (3.4 ft)
rials on site.
with the simulation being 1.08 m (3.5 ft). The sec-
The 19961997 maximum frost penetration
ond maximum penetration happened after this
came around mid-February at 1.14 m (3.7 ft). The
warm period, in early March, and was 1.06 m (3.5
predicted depth was 1.1 m (3.6 ft).
ft); the numerical was 0.94 m (3.1 ft).
Figure 13. Actual and predicted frost penetration data. Winter of 19941995 has
two entries because of long warming spell in middle of winter. Effects of uncorrected
and corrected ledge thermal conductivity values are shown for winter of 19951996.
11