variogram dan simple kriging
TRANSCRIPT
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 1/25
Company
LOGO
www.company.com
Variogram dan Simple Kriging
Annisa Della Megaputeri 21100113140085
Fandy Fare!a 21100113120023
F"F" Des#ara A"M" 211001111100$1
%urnia De#i Mulyani 21100113120021
Muammad &'raim 21100110141018
M" (a'aris Maulana 21100113140083
)riatono D#i Mayoga 211001131400$$
*ori +ur,ana 2110011312004$
-amad .ya/ri!al G" 21100113120025
isnu i,aya (ati 2110011314003
usu/ Ali/ Aulia 2110011312002$
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 2/25
Company
LOGO
www.company.com
ariogram merupaan metode dalamgeostatistia yang 'erguna untumenun,uan orelasi spatial antara data
yang diuur" (ia ita memetaan asilpenguuran nilai densitas suatu 'atuanmaa dapat terliat 'a#a nilai yangrenda aan 'erada deat dengan nilairenda lainnya 'egitu pula dengan nilaiyang 'esar 6enderung 'erada di deat nilaiyang 'esar lainnya" )er'edaan dataterse'ut dapat dituangan delam suatugra/i semi7ariogram se'agai /ungsi ,ara"
)engertian ariogram
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 3/25
Company
LOGO
www.company.com
+ilai semi7ariogram dapat diitung
dengan menggunaan persamaan 'eriut
9 : ;i< nilai data di titi ;i 9
: ;i = < nilai data di titi ;i =
+:< 'anyanya pasangan titi yang
memilii ,ara
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 4/25
Company
LOGO
www.company.com
> ariogram memilii tinga lau yangpenting untu diamati : .upra,itno 2005<se'agai 'eriut
1" +ilai 7ariogram diseitar titi a#almen6erminan ontinuitas loal dan7aria'ilitas dari data random yang dimilii"
2" +ilai 7ariogram untu ,ara :< yang 'esarmemilii si/at yang onstan ?ila
men6apai nilai onstan dinamaan sill"3" (ara :< pada nilai 7ariogram men6apainilai sill dise'ut range"
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 5/25
Company
LOGO
www.company.com
> semi7ariogram adala setenga dari7ariogram dengan sim'ol @" .esuaidengan namanya ariogram adala
uuran dari 7ariansi" ariogramdigunaan untu menentuan ,aradimana nilainilai data pengamatanmen,adi tida saling tergantung atau tida
ada orelasinya" .im'ol dari 7ariogramadala 2@" .emi7ariogram ini digunaanuntu menguur orelasi spasial 'erupa7ariansi eror pada loasi u dan loasi u ="
ariogram dan
semi7ariogram
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 6/25
Company
LOGO
www.company.com
> Semivariogram Eksperimental
> semivariogram teoritis
(enis 7ariogram dan
semi 7ariogram
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 7/25
Company
LOGO
www.company.com
Gambar semivariance
teoritis
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 8/25
Company
LOGO
www.company.com
ariogram teoritis mempunyai 'entu ur7ayang paling mendeati 7ariogramesperimental" .eingga untu eperluan
analisis le'i lan,ut 7ariogram eperimentalarus diganti dengan 7ariogram teoritis"Berdapat 'e'erapa ,enis 7ariogram yangsering digunaan yaitu
>Model bola (spherical mode)>Model ekponensial (Exponential Model)>Model gauss (gaussion model)
Variogram dan
semivariogram teoritis
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 9/25
Company
LOGO
www.company.com
Contoh Variogram
spherical model
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 10/25
Company
LOGO
www.company.com
Contoh Variogram
Exponential Model
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 11/25
Company
LOGO
www.company.com
Contoh Variogram
gaussion model
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 12/25
Company
LOGO
www.company.com
at is riging
Optimal interpolation 'ased onregression against o'ser7ed z
7alues o/ surrounding data
points #eigted a66ording tospatial
6o7arian6e 7alues"
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 13/25
Company
LOGO
www.company.com
Bu,uan %riging
> Men6ari penasir ta'ias linier
ter'ai" %riteria ter'ai 7ariansi
minimum"> Memili ratarata 'er'o'ot dari nilai
sampel yang memilii 7ariansi
minimum"
> &nterpolasi spasial"
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 14/25
Company
LOGO
www.company.com
Kriging
Block Point
Simple Kriging
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 15/25
Company
LOGO
www.company.com
> stimation o/ a 7aria'le at an
unmeasured lo6ation /rom o'ser7ed
7alues at surrounding lo6ations" ForeEample estimating porosity at u
:2000 m 4$00 m< 'ased on porosity
7alues at nearest siE data points in
our 9one A data
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 16/25
Company
LOGO
www.company.com
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 17/25
Company
LOGO
www.company.com
.ome ad7antages
o/ riging
> Gi7es estimate o/ estimation error :riging 7arian6e< along
#it estimate o/ te 7aria'le Z itsel/ :'ut error map is
'asi6ally a s6aled 7ersion o/ a map o/ distan6e to nearest data
point so not tat uniue<
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 18/25
Company
LOGO
www.company.com
Kriging approach and
terminology
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 19/25
Company
LOGO
www.company.com
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 20/25
Company
LOGO
www.company.com
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 21/25
Company
LOGO
www.company.com
.imple %riging
> Mean H dietaui
> stimator untu :s<
> stimator arus ta'ias dan 7ariansi
> minimum I mean error 0
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 22/25
Company
LOGO
www.company.com
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 23/25
Company
LOGO
www.company.com
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 24/25
Company
LOGO
www.company.com
7/23/2019 Variogram Dan Simple Kriging
http://slidepdf.com/reader/full/variogram-dan-simple-kriging 25/25
Company
LOGO
-e/erensi
> Armstrong Margaret 18 Basic Linear
Geostatistics .pringererlag ?erlin"
> Catatan %ulia MA$12 Bopi .tatisti Lan,ut
2005"