Geomatematika 4 hnf

Geomatematika

Pengantar Perhitungan Endapan Menggunakan Blok

Model

Hafidz Noor Fikri,[email protected]

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


Drill Hole Data SourcesCollar CoordinatesGeologic LogDown Hole SurveysLab Test


Sampling DataRock TypesAlteration TypesMetal GradesAttributes

Geological Interpretation

Depictionsofanirregularorewastecontactapproximatedbysmoothdashedlinesthatareinterpretedusinginformationfromdrillholes(onsections),butthatareinterpolatedbetweendrillholes.Withsuchirregularcontacts,themethodofsectionsmustnecessarilybeincorrect(i.e.,itcanonlycoincidentlyresultinthecorrectgradeestimatefortheinterpolatedzonebecausesomewasteisincludedwithintheinterpretedzoneofmineralization).ModifiedfromStoneandDunn(1994).


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


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



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




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




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


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


Coba anda lakukan Estimasimenurut perasaansaudara??


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


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


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):???


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???

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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KetebalanBatubara(m)

Tugas 3Plot Cross Validasi Blok

Thank You

Geomatematika 4 hnf

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