Studi eksperimental karakteristik shell and tube heat exchanger
Semivariogram eksperimental
-
Upload
muhammad-gentur -
Category
Documents
-
view
142 -
download
40
description
Transcript of Semivariogram eksperimental
![Page 1: Semivariogram eksperimental](https://reader035.fdocuments.in/reader035/viewer/2022081715/5490be7ab47959962d8b4ed5/html5/thumbnails/1.jpg)
Semivariogram EksperimentalSemivariogram Eksperimental
MA5182 Topik dalam Statistika I: Statistika Spasial9 Oktober 2012
Utriweni Mukhaiyar
![Page 2: Semivariogram eksperimental](https://reader035.fdocuments.in/reader035/viewer/2022081715/5490be7ab47959962d8b4ed5/html5/thumbnails/2.jpg)
Rumusan SemivariogramRumusan SemivariogramRumusan SemivariogramRumusan Semivariogram
Z(s) intrinsik stasioner( )
21( ) ( ( ) ( ))2
h E Z s h Z s
Semivariogram Eksperimental1
2
2
, ( )
1( ) ( ( ) ( ))2 | ( ) |
i j
i js s N h
h Z s Z sN h
( ) , , , i j i jN h s s d s s h
![Page 3: Semivariogram eksperimental](https://reader035.fdocuments.in/reader035/viewer/2022081715/5490be7ab47959962d8b4ed5/html5/thumbnails/3.jpg)
Diagram Alir Perhitungan VariogramDiagram Alir Perhitungan VariogramDiagram Alir Perhitungan VariogramDiagram Alir Perhitungan Variogram
![Page 4: Semivariogram eksperimental](https://reader035.fdocuments.in/reader035/viewer/2022081715/5490be7ab47959962d8b4ed5/html5/thumbnails/4.jpg)
SemivariogramSemivariogramSemivariogramSemivariogram Toleransi jarak : 50%
Perhitungan variogram tidak bagus untuk jarak-jarak yang lebih besar daripada setengah dari jarak terjauh (lapangan yang diamati)terjauh (lapangan yang diamati)
Dihitung untuk 4 arah yang berbeda. Apabila terdapat sedikit perbedaan satu sama p p p
lain (antara 4 arah tersebut), dapat dikategorikan sebagai isotropicSemivariogram yang dicocokkan dengan model Semivariogram yang dicocokkan dengan model teoritis adalah semivariogram hasil rata-ratanya.
Sensitif terhadap nilai pencilan.p p
![Page 5: Semivariogram eksperimental](https://reader035.fdocuments.in/reader035/viewer/2022081715/5490be7ab47959962d8b4ed5/html5/thumbnails/5.jpg)
Pencocokan Model VariogramPencocokan Model VariogramPencocokan Model VariogramPencocokan Model Variogram
Nugget Effectgg ff Slope (kemiringan) Range Range Sill
A i i Anisotropi
![Page 6: Semivariogram eksperimental](https://reader035.fdocuments.in/reader035/viewer/2022081715/5490be7ab47959962d8b4ed5/html5/thumbnails/6.jpg)
Contoh: kasus 1 dimensiContoh: kasus 1 dimensiContoh: kasus 1 dimensiContoh: kasus 1 dimensi
s (5 m) 1 2 3 4 5 6 7 8 9 10 11 12 13( )
Z(s) 8 6 4 3 6 5 7 2 8 9 5 6 3
2 2 21(5) 8 6 6 4 ... 6 3 4,625
2 2 2
(5) 8 6 6 4 ... 6 3 4,6252 12
1(10) 8 4 6 3 ... 5 3 4,822 11
1
2 2 21(15) 8 3 6 6 ... 9 3 62 10
7
Semivariogram Eksperimental
( ) 3,773 0,137 h hModel Semivariogram: y = 0.137x + 3.773
1234567
gam
ma(
h)
01
0 5 10 15
h
![Page 7: Semivariogram eksperimental](https://reader035.fdocuments.in/reader035/viewer/2022081715/5490be7ab47959962d8b4ed5/html5/thumbnails/7.jpg)
Contoh: kasus 2 dimensiContoh: kasus 2 dimensiContoh: kasus 2 dimensiContoh: kasus 2 dimensi22 19 14 16 19 16 1420 17 20 14 23 21 1717 18 19 18 25 20 1915 20 18 20 20 18 1318 15 15 18 23 22 2016 10 16 14 18 20 1816 10 16 14 18 20 1814 10 13 13 15 14 1713 11 10 17 16 15 11
g(5) N(5) g(10) N(10) g(15) N(15) g(20) N(20)
W-E 4.74 56 8.49 48 10.28 40 13.77 32
N S 5 88 56 9 11 48 9 13 40 10 77 32N-S 5.88 56 9.11 48 9.13 40 10.77 32
g(5√2) N(5) g(10√2) N(10) g(15√2) N(15) g(20√2) N(20)
NE-SW 7.69 49 12.24 36 18.36 25 18.16 16
NW-SE 7.55 49 12.02 10 25 25 14 16
![Page 8: Semivariogram eksperimental](https://reader035.fdocuments.in/reader035/viewer/2022081715/5490be7ab47959962d8b4ed5/html5/thumbnails/8.jpg)
Semivariogram EksperimentalW-E & N-S
30
Semivariogram EksperimentalNE-SW & NW-SE
15
20
25
30
amm
a(h)
15
20
25
30
mm
a(h)
0
5
10
0 1 2 3 4 5
ga
h
0
5
10
0 1 2 3 4 5
gam
hh h
25
Semivariogram Eksperimentalhorizontal-vertikal
25
Semivariogram Eksperimentaldiagonal
y = 2.178x + 3.57510
15
20
25
gam
ma(
h)
y = 3.493x + 5.645
10
15
20
25
amm
a(h)
0
5
0 1 2 3 4 5
g
h0
5
0 1 2 3 4 5
ga
h
![Page 9: Semivariogram eksperimental](https://reader035.fdocuments.in/reader035/viewer/2022081715/5490be7ab47959962d8b4ed5/html5/thumbnails/9.jpg)
2 835 + 4 6118
Semivariogram EksperimentalRata-rata
y = 2.835x + 4.61
10121416
ma(
h)
2468
gam
m
0
0 1 2 3 4 5
h
3 3 , 0( )
0, 0
h hh
hModel Semivariogram:
![Page 10: Semivariogram eksperimental](https://reader035.fdocuments.in/reader035/viewer/2022081715/5490be7ab47959962d8b4ed5/html5/thumbnails/10.jpg)
ReferensiReferensi
Armstrong, Margaret, 1998, Basic Linear Geostatistics, Springer-Verlag: Berlin.
Catatan Kuliah MA7192 Topik Statistik Lanjut 2005 Catatan Kuliah MA7192 Topik Statistik Lanjut, 2005.
10