Geology Reference
In-Depth Information
3
(0) =
3(0 / 100)
(0 / 100)
0
3
(20) =
3(20 / 100)
(20 / 100)
.
3
0.2
0.008
0.59
(40) =
3
.
0.4
0.064
1.14
(60) =
3
.
0.6
0.216
1.58
(80) =
3
.
0.8
0.512
1.9
(100) = 2
(120) = 2
Question 3.2
Trace the variogram which is a sum of two spherical variograms, the
first variogram having sill = 1, range 50 m, and second variogram
having a sill 1 and range 100 m. (Note the curvature at
h
= 50 m and
at
h
= 100 m).
Answer
It may be remembered that variograms are additive. Sum of two spherical
variograms with
c
1
= 1,
a
1
= 50, and
c
2
= 1,
a
2
= 100
3
3
3
h
1
h
3
h
1
h
.. . .
()
h
()
h
()
h
1
2
2
50
2
3
2
100
2
3
50
100
3
3
3
33
h
18
h
h
19
h
9
h
()
h
()
h
=
When
h
<
a
1
:
1
2
3
3
3
2
100
2
2
100
100
100
100
!
"
3
2
9
2
h
h
9
h
h
1
=
=
100
3
2
200
100
100
!
"
>
?
When
aha
$$
..or..
haa
@
,
:
( )
h
3
( )
h
1
2
1
2
1
2
3
h
1
h
1
( )
h
=
1
=
2
3
2100 2
100
When
h
>
a
2
:
()
h
()
h
C
C
2
1
2
1
2
2
dh
()
19
3
h
'( )
h
Slope near the origin is when
h
= 0
dh
2100
100
3
!
"
(0) =
9/200
9
/
0
3
0( )
0
(0) =
2
9
/
0
3
0.1
(0.1)
0.445
(10) =
2