Geomatematika

Review Geomatematikadan Analisis Spasial

Hafidz Noor Fikri,MThafidz.noor.fikri@gmail.com

Freeport McMoRan Copper & Gold Inc. Arizona,2007

PT. Adaro Indonesia, Tabalong.2013

Geomatematika adalah ilmu yang mempelajari data geologi secara kuantitatif.

Geomatematika sering dikenal dengan nama geomathematics ataumathematical geology.

Biasanya masuk dalam lingkup earth science atau geoscience.

Salah satu bagian dalam geomatematika yang berkembang cukup pesat adalahgeostatistik.

Geostatistics has been defined as "the application of probabilistic methods toregionalized variables", which designate any function displayed in a real space.

Aplikasi geomatematika/geostatistik dalampertambangan

1.Mengestimasi jumlah sumberdaya/cadangan2.Mengestimasi kesalahan (error)3.Mengoptimasi spasi conto atau pemboran4.Mengestimasi blok cadangan5.Gridding dan pemetaan kontur6.Simulasi cebakan (endapan) untuk mengevaluasi usulanperencanaan tambang7.Mengestimasi perolehan (recovery)

Elementary StatisticsProbabilityContinuous Random VariablesStatisticsSummary StatisticsJoint Variation of Two VariablesInduced CorrelationsLogratio TransformationCentral Limits TheoremTesting the MeanP-ValuesSignificanceConfidence LimitsThe t-DistributionDegrees of freedomConfidence intervals based on tA test of the equality of two sample means

The t-test of correlation

The F-DistributionF-test of equality of variancesAnalysis of varianceFixed. random. and mixed effectsTwo-way analysis of varianceNested design in analysis of variance

The x^2 DistributionGoodness-of-fit test

The Logarithmic and Other TransformationsNonparametric MethodsMann-Whitney testKruskal-Wallis testNonparametric correlation

KoImogorov-Smirnov testsMatrix AlgebraAnalysis of Sequences of DataSpatial AnalysisAnalysis of Multivariate Data

Mengapa perlu analisis secara spasial ??- Deskripsi statistik belum memperhatikan tata letak data.- Deskripsi statistik belum memperhatikan kerapatan data.- Deskripsi statistik akan menunjukkan hasil yang samawalaupun posisi data diacak sedemikian rupa.- Analisis spasial dapat dilakukan dengan plottingdistribusi data ataupun dengan menggunakan peta-petaiso.

A geologist's interpretationsof isopach data (after Chiles& Delfiner, 1999): (a)meandering channel; (b) in-fill channel; (c) paleovalleys;(d) barrier bar and tidalchannel.

1.Nearest Neighbour Point2.Inverse Distance Weighting

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

Composites

3D Block Model

Block Estimation

Block Value

Thank You