Post on 16-Nov-2015
description
Geomatematika
Pengantar Perhitungan Endapan Menggunakan Blok
Model
Hafidz Noor Fikri,MThafidz.noor.fikri@gmail.com
TEKNIK PENAKSIRAN Mengapa diperlukan? Keterbatasan untuk mencapai desain eksplorasi
yang ideal. Keterbatasan jumlah sampel atau titik data. Teknik Klasik dalam Penaksiran :
Tanpa Grid Teratur. Dengan Grid Teratur.
uniformrectangularblockscenteredonuniformlyspaceddata
nonuniformrectangularblockscenteredonirregularlyspaceddata
SelectiveMiningUnitAselectiveminingunit(SMU)isthesmallestblockonwhichselectionasoreorwasteiscommonlymade.
DatasTopography DataDrillhole DataSamplingAssays
DatasTopography DataDrillhole DataSamplingAssays
Drill Hole Data SourcesCollar CoordinatesGeologic LogDown Hole SurveysLab Test
DatasTopography DataDrillhole DataSamplingAssays
Sampling DataRock TypesAlteration TypesMetal GradesAttributes
DatasTopography DataDrillhole DataSamplingAssays
DatasTopography DataDrillhole DataSamplingAssays
Geological Interpretation
Geological Interpretation
Geological Interpretation
Depictionsofanirregularorewastecontactapproximatedbysmoothdashedlinesthatareinterpretedusinginformationfromdrillholes(onsections),butthatareinterpolatedbetweendrillholes.Withsuchirregularcontacts,themethodofsectionsmustnecessarilybeincorrect(i.e.,itcanonlycoincidentlyresultinthecorrectgradeestimatefortheinterpolatedzonebecausesomewasteisincludedwithintheinterpretedzoneofmineralization).ModifiedfromStoneandDunn(1994).
Geological Interpretation
Geological Interpretation
Composites
3D Block Model
Block Estimation
Block Value
The$64question:doesgeostatisticswork?
Data:Thegradesof64blocksofsize1x1
Thisexercisehasbeendesignedtohighlighttheeconomicimpactofestimationerrors.8 7 6 5 4 3 2 1
1
2
3
4
5
6
7
8
1 2 3 4
4
3
2
1
The$64question:doesgeostatisticswork?
Data:Thegradesof64blocksofsize1x1wereavailableinanarea8x8
8 7 6 5 4 3 2 1
1
2
3
4
5
6
7
8
1 2 3 4
4
3
2
1
The$64question:doesgeostatisticswork?
Data:Thegradesof64blocksofsize1x1wereavailableinanarea8x8
Shows16 ofthesegrades
8 7 6 5 4 3 2 1
1
2
3
4
5
6
7
8
1 2 3 4
4
3
2
1
The$64question:doesgeostatisticswork?
Data:Thegradesof64blocksofsize1x1wereavailableinanarea8x8
Shows16 ofthesegrades
Eachfromthetopleftcornerofablockofsize2x2
8 7 6 5 4 3 2 1
735 45 125 167 1
2
450 337 95 245 3
4
124 430 230 460 5
6
75 20 32 20 7
8
1 2 3 4
4
3
2
1
The$64question:doesgeostatisticswork?
Data:Thegradesof64blocksofsize1x1wereavailableinanarea8x8
Shows16 ofthesegrades
Eachfromthetopleftcornerofablockofsize2x2
Thevaluesoftheother48sampleswillbeusedlaterforcomparisonpurposes
8 7 6 5 4 3 2 1
735 45 125 167 1
2
450 337 95 245 3
4
124 430 230 460 5
6
75 20 32 20 7
8
1 2 3 4
4
3
2
1
The$64question:doesgeostatisticswork?
PolygonalEstimation 8 7 6 5 4 3 2 11
2
3
4
5
6
7
8
4
3
2
1
1
124
3 4
735 45 125 167
450 337 95 245
2
430 230 460
75 20 32 20
8 7 6 5 4 3 2 1
735 45 125 167 1
2
450 337 95 245 3
4
124 430 230 460 5
6
75 20 32 20 7
8
1 2 3 4
4
3
2
1
The$64question:doesgeostatisticswork?
Coba anda lakukan Estimasimenurut perasaansaudara??
The$64question:doesgeostatisticswork?
KrigingEstimation 8 7 6 5 4 3 2 11
2
3
4
5
6
7
8
1
189
99 81
4
3
2
1 88 125
3 4
442 190 142 204
354 276 212 279
2
226 216 271
The$64question:doesgeostatisticswork?SelectiveMining
8 7 6 5 4 3 2 1
1
2
3
4
5
6
7
8
4
3
2
1
1
124
3 4
735 45 125 167
450 337 95 245
2
430 230 460
75 20 32 20
Supposethatinthiscasetheeconomiccutoff is300.Sotheexpectedprofitis:735+450+337+430+460 (5x300)=912
EstimationPolygonal
The$64question:doesgeostatisticswork?SelectiveMining
8 7 6 5 4 3 2 1
1
2
3
4
5
6
7
844 155
3 4
505 143 88 207
270 328 171 411
2
220 154 263
101 54
4
3
2
1
1
102
Supposethatinthiscasetheeconomiccutoffis300.Sotheexpectedprofitis(polygonal):735+450+337+430+460 (5x300)=912
Sotheactualprofitwouldbe:505+270+328+220+263 (1500) = 86
TrueValue
The$64question:doesgeostatisticswork?SelectiveMining
8 7 6 5 4 3 2 1
1
2
3
4
5
6
7
844 155
3 4
505 143 88 207
270 328 171 411
2
220 154 263
101 54
4
3
2
1
1
102
Cutoffis300.
Expectedprofit(Polygonal):912
TrueValueActualprofitwouldbe:86
8 7 6 5 4 3 2 1
1
2
3
4
5
6
7
8
4
3
2
1
1
124
3 4
735 45 125 167
450 337 95 245
2
430 230 460
75 20 32 20
8 7 6 5 4 3 2 1
1
2
3
4
5
6
7
888 125
3 4
442 190 142 204
354 276 212 279
2
226 216 271
99 81
4
3
2
1
1
189
Expectedprofit(Kriging):???
The$64question:doesgeostatisticswork?SelectiveMining
8 7 6 5 4 3 2 1
1
2
3
4
5
6
7
844 155
3 4
505 143 88 207
270 328 171 411
2
220 154 263
101 54
4
3
2
1
1
102
Cutoffis300.
Expectedprofit(Polygonal):912
TrueValueActualprofitwouldbe:86
8 7 6 5 4 3 2 1
1
2
3
4
5
6
7
8
4
3
2
1
1
124
3 4
735 45 125 167
450 337 95 245
2
430 230 460
75 20 32 20
8 7 6 5 4 3 2 1
1
2
3
4
5
6
7
888 125
3 4
442 190 142 204
354 276 212 279
2
226 216 271
99 81
4
3
2
1
1
189
Expectedprofit(Kriging):442+ 354+ 276+ 226+271 (5x300)= 69
Estimasi ANDA???
The$64question:doesgeostatisticswork?SelectiveMining
Studi Kasus
SEAM-C PARINGGULING IB PT. SUMBER KURNIA BUANA (SKB) BINUANG, KAB. TAPIN, KAL-SEL
Jenis blok:blok regular rectangular grid, unreguler single hole
Jumlah Blok yang dihitung:720 buah
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Tugas 3Plot Cross Validasi Blok
Thank You