Geoscience Reference
In-Depth Information
3
4
5
3
4
5
0.8
0.6
0.4
0.2
0.0
0
2
4
6
8
Non-dimensional time
Fig. 3 Cumulative development of the centroid time of non-dimensional profiles for experiments
3-5:
symbols
, Site 3;
lines
, Site 4
3
4
5
3
4
5
0.8
0.6
0.4
0.2
0.0
0
2
4
6
8
Non-dimensional time
Fig. 4 Cumulative development of the variance of non-dimensional profiles for experiments 3-5:
symbols
, Site 3;
lines
, Site 4
non-dimensional concentration profiles is illustrated by the very close grouping of
these cumulative results. Only for non-dimensional times greater than about 2 do the
lines start to diverge. The significance of the information in the trailing edges of the
profiles is particularly striking for the variance, where its value doubles or even triples
as the non-dimensional time increases from 2 to 8, even though less than 5% of the
tracer mass is contained in this part of the profiles. Also there are considerable
differences between the variances of the non-dimensional profiles for non-dimensional
times greater than 4, and the profile from Site 3 for experiment 3 is slightly offset, but
again this is only due to it being poorly resolved.
The following equations were used to estimate the area (
a
), centroid time (
m
) and
2
) of the original profiles from the properties of the non-dimensional
variance (
s
ones:
a ¼ a
t
c
p
t
T
ð
t
L
Þ
(6)
