Geoscience Reference
In-Depth Information
Z
1
p
lðfÞ
r
1
cos
ð
r
lð
u
Þ
;
n
Þ
d
r
C
When G is the circle |z
z
o
|<R the solution of this task is the Poisson integral:
-
Z
2
p
R
2
r
2
1
2
T
a
ð
a
Þ
T
a
ð
r
; wÞ
¼
da
;
p
R
2
þ
r
2
2Rr cos
ðw
a
Þ
0
= z
o
+ re
i
ˈ
(r < R,0
where
ˆ
+ i
ʻ
≤ ˈ ≤
2
ˀ
); and
T
a
ð
a
Þ
¼T
a
ð
z
0
þ
R
e
ia
Þ;
0
a
2
p:
The combination of this procedure with other algorithms of spatial-temporal
interpolation gives a full representation of the environmental objects on the
observation area by means of the parametrical estimations. For example, the GIMS
database was formed on the basis of the measurements traced by the
flying labo-
ratory using the set of analogous harmonic algorithms. Table
2.23
illustrates the
fl
Table 2.23 An example of the hydrophysical
field reconstruction in the lagoon Nuoc Ngot
U(m
3
s
−
1
)
M (m
3
s
−
1
)
R (m
3
s
−
1
)
Error (%)
Error (%)
10.3
11.3
10.1
11.6
12.9
−
4
−
3.6
9.5
−
4.4
9.8
−
8.7
−
15.3
12.4
−
9.9
13.3
−
14.2
−
12.3
13.1
−
16
12.6
−
24.1
−
22.7
−
22.2
5.7
7.7
−
22.4
−
24.4
8.9
−
20.4
9
−
16.3
−
17.9
9.6
−
18.2
11.5
2.3
2.6
11.5
2
11.4
15
13.2
12.3
12.6
15.8
35.1
30.9
12.2
30.1
14.2
39.2
35.1
10.4
43
9.7
38.2
42.6
11.6
33.2
13.1
34.8
39.6
13.8
30
13.7
26.5
25.2
4.8
28.5
7.6
19.2
21.1
9.9
21.2
10.3
Average error (%)
10.4
11.5
-
-
Maximal error (%)
13.8
15.8
-
-
Minimal error (%)
4.8
7.6
-
Field measurements was realized during March
-
April of 2001. Signs correspond to the water
inflow (
“
+
”
) and outflow (
“−”
). This lagoon is situated in the Central Vietnam, South-China Sea
U is the measured value of water flow (m
3
s
−
1
) on the boundary lagoon-sea, M and R is the
calculated values of this flow with the methods differential approximation and harmonic functions,
respectively
-
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