Plot a graph temperature waves as functions of time and depth. (b) Plot on a graph the vertical soil temperature profiles at 0435, 0835, 1235, 1635, 2035, and 0035 h.   (c) Determine the damping depth and thermal diffusivity of the soil from the observed amplitudes, as well as from the times of temperature maxima (taken from the smoothed temperature waves) as functions of depth.

Applications and Investigations in Earth Science (9th Edition)
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Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
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Chapter1: The Study Of Minerals
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The following soil temperatures (C) were measured during the Great Plains Field Program at O'Neil, Nebraska

 

Table1. Data table of soil temperature measured during the Great Plains Field Program
at O'Neil, Nebraska

 

(a) Plot a graph temperature waves as functions of time and depth.


(b) Plot on a graph the vertical soil temperature profiles at 0435, 0835, 1235, 1635, 2035, and 0035 h.

 

(c) Determine the damping depth and thermal diffusivity of the soil from the observed amplitudes, as well as from
the times of temperature maxima (taken from the smoothed temperature waves) as functions of depth.

 

        c.1 Determination of damping depth and thermal diffusivity from the observed amplitudes:
        c.2 Determination of damping depth and thermal diffusivity based on time lag data:


(d) Estimate the amplitude of the surface temperature wave and the time of maximum surface temperature from
extrapolation of the soil temperature data.

Depth (m)
Time (h)
Day
0.025
0.05
0.10
0.20
0.40
0435
August 31
25.54
26.00
26.42
26.32
24.50
0635
24.84
25.30
25.84
25.97
24.48
0835
25.77
25.35
25.42
25.56
24.36
1035
29.42
27.36
25.98
25.39
24.34
1235
33.25
30.32
27.62
25.57
24.27
1435
35.25
32.63
29.52
26.11
24.24
1635
34.84
33.20
30.62
26.88
24.26
1835
32.63
32.05
30.62
27.41
24.32
2035
30.07
30.20
29.91
27.68
24.47
2235
28.42
28.74
28.84
27.57
24.64
0035
September 1
27.09
27.50
27.84
27.22
24.73
0235
26.09
26.60
27.06
26.87
24.78
0435
25.30
25.83
26.40
26.53
24.84
Transcribed Image Text:Depth (m) Time (h) Day 0.025 0.05 0.10 0.20 0.40 0435 August 31 25.54 26.00 26.42 26.32 24.50 0635 24.84 25.30 25.84 25.97 24.48 0835 25.77 25.35 25.42 25.56 24.36 1035 29.42 27.36 25.98 25.39 24.34 1235 33.25 30.32 27.62 25.57 24.27 1435 35.25 32.63 29.52 26.11 24.24 1635 34.84 33.20 30.62 26.88 24.26 1835 32.63 32.05 30.62 27.41 24.32 2035 30.07 30.20 29.91 27.68 24.47 2235 28.42 28.74 28.84 27.57 24.64 0035 September 1 27.09 27.50 27.84 27.22 24.73 0235 26.09 26.60 27.06 26.87 24.78 0435 25.30 25.83 26.40 26.53 24.84
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