In this experiment the effect of solar radiation upon the melting of frozen soil was studied.
(1) The observations were made at Taisho village, Tokachi district Hokkaido, from 14 to 16 April 1951.
The arrangement of plots is as follows:
Plot 1. Control. On the surface of frozen soil, there was a snow layer of 30cm thick.
Plot 2. Bare soil. There was no snow on the soil surface and it fully received the solar radiation.
Each plot is 3.0×3.0m
2 in area.
(2) Hourly variations of soil temperatures in plot 3 are shown in Figure 1.
The soil temperature in plot 1 showed no remarkable change during the observation because the snow layer on the surface prevented the penetration of solar radiation to the surface.
The thickness of frozen layer in Plot 1 was nearly constant during the observation while the frozen layer in plot 2 gradually became thin (See Table 1).
The amount of melting of frozen layer in plot 1 from 10
h00
m to 16
h45
m, 15 April was 4.1cm.
(3) The amounts of heat which flow in through a plane
x1 and flow out through a plane
x4 for the time interval from
t1 to
t2 will be called
Q1 and
Q2 respectively.
The surplus
Q1-
Q2=
W0, which the layer from
x1 to
x5 receives, is used for melting of the frozen layer and raising the temperatures of layers
X1,
H2,
H3 and
X4.
Suppose that the thickness of the layer which is melted, is
h3-
h2, then the amount of heat, L, used for melting is 80 (
h3-
h2)
pw where
pw is moisture content of the frozen soil by volume.
To calculate the amount of heat used for raising of temperature of layer
X1 for the time interval from
t1 to
t2, consider a vertical column of unit sectional area in the layer reaching from
x1 to
h2.
Let u
1·1 and u
1·2 be the temperatures of the infinitesmal element
dx in the column corresponding to the times
t1 and
t2, then the variation of heat content of the soil column
X1 is
∫
x0+X1/2x0-X1/2c
2(u
1·2-u
1·1)dx
where
c2 is the heat capacity of the soil.
In like manner the variation of heat content of the soil in the layer
X4 is
∫
x0+X4/2x0X4/2c
4(u
4·2-u
4·1)dx
Let us consider the condition that the temperatures of layers
H2 and
H3 at
t1 and
t2 are the same. In this case we have the equation (5).
From equations (3), (4), and (5) we have equation (6).
By means of formula (7) and the observed values of soil temperatures, the amount of melting of the frozen soil has been computed for 3 periods. The results obtained are shown in Table 2.
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