EVALUASI TUGAS 7
SEMI VARIOGRAM
PEMODELAN GEOSTATISTIK : Dr.Ir. Imam Setiaji Ronoatmojo, MT
TUGAS 7
• Tentukan nilai 𝛾(ℎ) dari masing- masing nilai ℎ untuk kasus
anisotropi dengan konvensi azimuth dan baris/lajur perhitungan sebagaimana tampak pada peta grid!
• Tentukan grafik-grafik variogram masing-masing azimuth !
• Tentukan berapa nilai range yang optimal dari masing-masing
azimuth yang menggambarkan
kriteria localized, continuity dan
anisotropy!
Characteristics of Regionalized Variables
1. Localized: the information that a regionalized variable represents a local information.
2. Continuity: the variable may show more or less steady continuity in its spatial variation.
3. Anisotropies: There may exist a preferential direction along
which the rate of variation does not change significantly, but
it vary rapidly along a cross-direction.
Semi-Variogram
The semi-variogram is
based on modelling the
(squared) differences in
the z-values as a function
of the distances between
all of the known points.
Variograms
In mathematical terms, the semi-variogram:
Where h represents a distance vector.
Recall that the variance is expressed as:
OPERASI EXCEL g (1)
OPERASI EXCEL g (2)
WORKSHEET (AZ0 0 _KOLOM1)
WORKSHEET (AZ0 0 _KOLOM2)
NILAI h=8 (AZ0 0 _KOLOM1)
NILAI ANOMALI (AZ0 0 _KOLOM1)
NILAI NORMAL (AZ0 0 _KOLOM1)
NILAI ANOMALI (AZ0 0 _KOLOM1)
0.00 10.00 20.00 30.00 40.00 50.00 60.00
0 2 4 6 8 10
Baris 1
1 2 3 4 5 6 7 8 9 10
1 17 16 15 17 16 5 3 5 3 4
2 13 15 16 15 17 6 5 6 5 2
3 14 15 16 6 5 6 5 2 3 5
4 7 6 5 7 6 5 3 5 3 4
5 1 5 6 5 7 6 5 6 5 2
6 4 5 6 6 5 6 5 2 3 5
7 7 6 5 7 16 15 13 15 3 4
8 1 1 1 11 17 16 15 16 5 2
9 14 15 16 6 5 6 5 2 3 5
10 7 6 5 7 16 15 13 15 3 4
Kandungan Unsur Cu
sill nugget
range
SILL, NUGGET & RANGE
Perhatikan kontinyuitas dalam box merah
0.00 10.00 20.00 30.00 40.00 50.00 60.00
0 2 4 6 8 10
Baris 2
1 2 3 4 5 6 7 8 9 10
1 17 16 15 17 16 5 3 5 3 4
2 13 15 16 15 17 6 5 6 5 2
3 14 15 16 6 5 6 5 2 3 5
4 7 6 5 7 6 5 3 5 3 4
5 1 5 6 5 7 6 5 6 5 2
6 4 5 6 6 5 6 5 2 3 5
7 7 6 5 7 16 15 13 15 3 4
8 1 1 1 11 17 16 15 16 5 2
9 14 15 16 6 5 6 5 2 3 5
10 7 6 5 7 16 15 13 15 3 4
Kandungan Unsur Cu
Perhatikan kontinyuitas dalam box merah
1 2 3 4 5 6 7 8 9 10 1 17 16 15 17 16 5 3 5 3 4
2 13 15 16 15 17 6 5 6 5 2
3 14 15 16 6 5 6 5 2 3 5
4 7 6 5 7 6 5 3 5 3 4
5 1 5 6 5 7 6 5 6 5 2
6 4 5 6 6 5 6 5 2 3 5
7 7 6 5 7 16 15 13 15 3 4
8 1 1 1 11 17 16 15 16 5 2
9 14 15 16 6 5 6 5 2 3 5
10 7 6 5 7 16 15 13 15 3 4
Kandungan Unsur Cu
0.00 10.00 20.00 30.00 40.00 50.00 60.00
0 2 4 6 8 10
Baris 3
Perhatikan kontinyuitas dalam box merah
1 2 3 4 5 6 7 8 9 10 1 17 16 15 17 16 5 3 5 3 4
2 13 15 16 15 17 6 5 6 5 2
3 14 15 16 6 5 6 5 2 3 5
4 7 6 5 7 6 5 3 5 3 4
5 1 5 6 5 7 6 5 6 5 2
6 4 5 6 6 5 6 5 2 3 5
7 7 6 5 7 16 15 13 15 3 4
8 1 1 1 11 17 16 15 16 5 2
9 14 15 16 6 5 6 5 2 3 5
10 7 6 5 7 16 15 13 15 3 4
Kandungan Unsur Cu
0.00 10.00 20.00 30.00 40.00 50.00 60.00
0 1 2 3 4 5 6 7 8 9 10
BARIS 4
Perhatikan kontinyuitas dalam box merah
0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.00 40.00 45.00 50.00
0 2 4 6 8 10
Baris 5
1 2 3 4 5 6 7 8 9 10
1 17 16 15 17 16 5 3 5 3 4
2 13 15 16 15 17 6 5 6 5 2
3 14 15 16 6 5 6 5 2 3 5
4 7 6 5 7 6 5 3 5 3 4
5 1 5 6 5 7 6 5 6 5 2
6 4 5 6 6 5 6 5 2 3 5
7 7 6 5 7 16 15 13 15 3 4
8 1 1 1 11 17 16 15 16 5 2
9 14 15 16 6 5 6 5 2 3 5
10 7 6 5 7 16 15 13 15 3 4
Kandungan Unsur Cu
Perhatikan kontinyuitas dalam box merah
0.00 10.00 20.00 30.00 40.00 50.00 60.00
0 2 4 6 8 10
Baris 6
1 2 3 4 5 6 7 8 9 10
1 17 16 15 17 16 5 3 5 3 4
2 13 15 16 15 17 6 5 6 5 2
3 14 15 16 6 5 6 5 2 3 5
4 7 6 5 7 6 5 3 5 3 4
5 1 5 6 5 7 6 5 6 5 2
6 4 5 6 6 5 6 5 2 3 5
7 7 6 5 7 16 15 13 15 3 4
8 1 1 1 11 17 16 15 16 5 2
9 14 15 16 6 5 6 5 2 3 5
10 7 6 5 7 16 15 13 15 3 4
Kandungan Unsur Cu
Perhatikan kontinyuitas dalam box merah
1 2 3 4 5 6 7 8 9 10 1 17 16 15 17 16 5 3 5 3 4
2 13 15 16 15 17 6 5 6 5 2
3 14 15 16 6 5 6 5 2 3 5
4 7 6 5 7 6 5 3 5 3 4
5 1 5 6 5 7 6 5 6 5 2
6 4 5 6 6 5 6 5 2 3 5
7 7 6 5 7 16 15 13 15 3 4
8 1 1 1 11 17 16 15 16 5 2
9 14 15 16 6 5 6 5 2 3 5
10 7 6 5 7 16 15 13 15 3 4
Kandungan Unsur Cu
0.00 10.00 20.00 30.00 40.00 50.00 60.00
0 2 4 6 8 10
Baris 7
Perhatikan kontinyuitas dalam box merah
0.00 10.00 20.00 30.00 40.00 50.00 60.00
0 2 4 6 8 10
Baris 8
1 2 3 4 5 6 7 8 9 10
1 17 16 15 17 16 5 3 5 3 4
2 13 15 16 15 17 6 5 6 5 2
3 14 15 16 6 5 6 5 2 3 5
4 7 6 5 7 6 5 3 5 3 4
5 1 5 6 5 7 6 5 6 5 2
6 4 5 6 6 5 6 5 2 3 5
7 7 6 5 7 16 15 13 15 3 4
8 1 1 1 11 17 16 15 16 5 2
9 14 15 16 6 5 6 5 2 3 5
10 7 6 5 7 16 15 13 15 3 4
Kandungan Unsur Cu
Perhatikan kontinyuitas dalam box merah
1 2 3 4 5 6 7 8 9 10 1 17 16 15 17 16 5 3 5 3 4
2 13 15 16 15 17 6 5 6 5 2
3 14 15 16 6 5 6 5 2 3 5
4 7 6 5 7 6 5 3 5 3 4
5 1 5 6 5 7 6 5 6 5 2
6 4 5 6 6 5 6 5 2 3 5
7 7 6 5 7 16 15 13 15 3 4
8 1 1 1 11 17 16 15 16 5 2
9 14 15 16 6 5 6 5 2 3 5
10 7 6 5 7 16 15 13 15 3 4
Kandungan Unsur Cu
0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40
0 2 4 6 8 10
Baris 9
????
Perhatikan kontinyuitas dalam box merah
0.00 0.50 1.00 1.50 2.00 2.50
0 2 4 6 8 10
Baris 10
1 2 3 4 5 6 7 8 9 10
1 17 16 15 17 16 5 3 5 3 4
2 13 15 16 15 17 6 5 6 5 2
3 14 15 16 6 5 6 5 2 3 5
4 7 6 5 7 6 5 3 5 3 4
5 1 5 6 5 7 6 5 6 5 2
6 4 5 6 6 5 6 5 2 3 5
7 7 6 5 7 16 15 13 15 3 4
8 1 1 1 11 17 16 15 16 5 2
9 14 15 16 6 5 6 5 2 3 5
10 7 6 5 7 16 15 13 15 3 4
