Statistical evaluations in exploration for mineral deposits: with 74 tables
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin [u.a.]
Springer
1998
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| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007408144&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke. - Aus dem Dt. übers. - Orig.-Ausg. u.d.T.: Wellmer, Friedrich-Wilhelm: Rechnen für Lagerstättenkundler und Rohstoffwirtschaftler ; Bd. 2. - Erg. bildet: Wellmer, Friedrich-Wilhelm: Economic evaluations in exploration |
| Physical Description: | XXI, 379 S. graph. Darst. |
| ISBN: | 3540612424 |
Staff View
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| 245 | 1 | 0 | |a Statistical evaluations in exploration for mineral deposits |b with 74 tables |c Friedrich-Wilhelm Wellmer |
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Record in the Search Index
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| adam_text | FRIEDRICH-WILHELM WELLMER STATISTICAL EVALUATIONS IN EXPLORATION FOR
MINERAL DEPOSITS TRANSLATED BY D. LARGE WITH 120 FIGURES AND 74 TABLES
SPRINGER CONTENTS PREFACE XV THE MOST IMPORTANT NOTATIONS AND
ABBREVIATIONS XVII A INTRODUCTION TO SOME FUNDAMENTAL STATISTICAL
CONCEPTS 1 1.1 GENERAL DEFINITIONS 1 1.2 FREQUENCY DISTRIBUTION 4 PART A
MINERAL DEPOSIT STATISTICS 2 TREATMENT OFTHE DATA SET 7 2.1 A SIMPLE
CASE OF CALCULATING A FREQUENCY DISTRIBUTION 7 2.2 USING CLASS INTERVALS
FOR CALCULATING FREQUENCY DISTRIBUTIONS 8 2.3 FREQUENCY DISTRIBUTION OF
SAMPLES WITH DISSIMILAR SPECIFICATIONS ... 12 3 MEAN, VARIANCE AND
STANDARD DEVIATION 15 3.1 THE MEAN 15 3.1.1 THE MEAN OF EQUAL-WEIGHTED
VALUES 15 3.1.2 THE MEAN OF UNEQUALLY-WEIGHTED VALUES 16 3.1.3 THE MEAN
OF DATA WITHIN CLASS INTERVALS 17 3.2 VARIANCE AND STANDARD DEVIATION OF
SAMPLE SIZE AND POPULATION ... 18 3.2.1 CALCULATION FOR EQUIVALENT
SAMPLES 18 3.2.2 DETERMINATION OF THE VARIANCE AND STANDARD DEVIATION
FOR NON-EQUIVALENT OR CATEGORIZED VALUES 21 3.2.2.1 GRAPHICAL
DETERMINATION OFTHE VARIANCE AND STANDARD DEVIATION 21 3.2.2.2
CALCULATION OF VARIANCE AND STANDARD DEVIATION OF NON-EQUIVALENT OR
CATEGORIZED VALUES 21 3.3 COEFFICIENT OF VARIATION 23 VI CONTENTS 3.4
OTHER PARAMETERS (MEDIAN, MODE VALUE) 25 4 THE NORMAL DISTRIBUTION 27 5
TESTING THE NORMAL DISTRIBUTION HYPOTHESIS 31 5.1 GRAPHICAL TEST 31
5.1.1 CALCULATION OFTHE CUMULATIVE FREQUENCY 31 5.1.2 CUMULATIVE
FREQUENCY FUNCTION OFTHE NORMAL DISTRIBUTION AND THE DERIVATION OF THE
PROBABILITY GRID 32 5.1.3 PLOTTING THE CUMULATIVE FREQUENCY VALUES OF A
REAL DISTRIBUTION ON THE PROBABILITY GRID 34 5.2 CHI-SQUARE TEST 36 6
STANDARD DEVIATION AND VARIANCE OFTHE MEAN 41 6.1 CALCULATION OF THE
STANDARD CASE 41 6.2 WEIGHTING DIFFERENT VARIANCES OF THE MEAN 42 7
ESTIMATION OFTHE ERROR 45 7.1 CONFIDENCE INTERVALS OF A MEAN VALUE 45
7.2 THE AVERAGE ERROR 48 7.3 THE LAW OF PERPETUATION OF ERRORS 48 8
SKEWED DISTRIBUTIONS 53 8.1 INTRODUCTION 53 8.2 MEASUREMENT OF SKEWNESS
54 8.3 ASSESSING ISOLATED OR ONLY A FEW HIGH VALUES 55 8.3.1 CORRECTIONS
USING THE GRAPHICAL CUMULATIVE FREQUENCY 55 8.3.2 REDUCING THE HIGHEST
VALUES TO THE NEXT-HIGHEST 57 8.3.3 STATISTICAL OUTLIER TESTS 57 8.3.3.1
TEST FOR AN EXTENSIVE DATA SET 58 CONTENTS VII 8.3.3.2 TEST FOR A
RESTRICTED DATA SET 60 8.3.3.3 THE FUNOP METHOD 62 8.4 PRACTICAL
EXPERIENCE WITH THE CUT LEVELS 64 8.4.1 EXPERIENCE FROM THE GOLD SECTOR
64 8.4.2 DERIVATION OF THE CUT LEVEL FROM THE LOGNORMAL DISTRIBUTION 65
9 THE USE OF THE LOGNORMAL DISTRIBUTION 67 9.1 INTRODUCTION 67 9.2 THE
LOGNORMAL DISTRIBUTION (FOR NUMEROUS HIGH VALUES) 69 9.2.1 DERIVATION
OFTHE LOGNORMAL DISTRIBUTION 69 9.2.2 THE LOGARITHMIC PROBABILITY GRID
71 9.2.3 DETERMINATION OF PARAMETERS FOR THE LOGNORMAL DISTRIBUTION 75
9.2.3.1 MEAN AND VARIANCE 75 9.2.3.2 THE CORRECTION FACTOR 0 77
9.2.3.2.1 GRAPHICAL DETERMINATION OF THE CORRECTION FACTOR 0 78
9.2.3.2.2 MATHEMATICAL DETERMINATION OF THE CORRECTION FACTOR 0 81
9.2.3.2.3 USING A-PRIORI INFORMATION FOR THE ESTIMATION OF THE
CORRECTION FACTOR 0 81 9.3 DETERMINATION OFTHE ARITHMETIC MEAN VALUE FOR
SKEWED SAMPLE DISTRIBUTIONS 82 9.3.1 INTRODUCTION 82 9.3.2 DETERMINATION
OFTHE ARITHMETIC MEAN FROM THE LOGARITHMIC MEAN AND LOGARITHMIC VARIANCE
82 9.3.3 SICHEPS - ESTIMATOR 83 9.3.4 FINNEY S DIAGRAM ; 87 9.3.5
CONFIDENCE INTERVAL OF THE ARITHMETIC MEAN OF LOGNORMALLY DISTRIBUTED
DATA 88 VIII CONTENTS 9.3.6 STATISTICAL TREATMENT OF OUTLIER DATA USING
TWO LOGNORMALLY DISTRIBUTED DATA 90 10 - OTHER DISTRIBUTIONS FOR THE
EVALUATION OF MINERAL DEPOSIT DATA 95 11 STATISTICAL PROBLEMS
ENCOUNTERED IN SAMPLING AND THE ANALYTICAL RESULTS 101 11.1 SAMPLE
COLLECTION 101 11.1.1 GENERAL REMARKS 101 11.1.2 SAMPLE SIZE 102
11.1.2.1 INTRODUCTION 102 11.1.2.2 GY S SAMPLING FORMULA 104 11.1.2.3
ESTIMATION OFTHE SAMPLE SIZE FOR A KNOWN STANDARD DEVIATION S 107
11.1.2.3.1 FORMULA FOR ESTIMATING THE SAMPLE SIZE 107 11.1.2.3.2
ESTIMATION OFTHE STANDARD DEVIATION FOR TWO SAMPLES FROM EACH COMPONENT
109 11.1.2.3.3 ESTIMATION OFTHE STANDARD DEVIATION FOR THREE OR MORE
SAMPLES FROM EACH COMPONENT 111 11.1.3 THE SPECIAL CASE OF GOLD 112 11.2
CHECK ANALYSES 115 11.2.1 DISCUSSION OF THE PROBLEM 115 11.2.2
MATHEMATICAL COMPARISON OF TWO SERIES OF ANALYSES USING THE STUDENT S
T-FACTORS 116 11.2.3 COMPARISON OF TWO SERIES OF ANALYSES BY REGRESSION
ANALYSIS 119 11.2.4 GRAPHICAL COMPARISON OF ANALYTICAL LABORATORIES 122
11.3 COMPARISON OF SAMPLE SERIES WITH DIFFERENT SUPPORT 123 11.3.1
THEORETICAL BASIS FOR THE COMPARISON OF SAMPLE SERIES WITH DIFFERENT
SUPPORT 123 CONTENTS IX 11.3.2 DERIVATION OF AN UPGRADING FACTOR BY
COMPARING BULK SAMPLES AND DRILLING 130 11.3.2.1 INTRODUCTION 130
11.3.2.2 STANDARD DERIVATION OF AN ..UPGRADING FACTOR 132 11.3.2.3
DERIVATION OF AN ..UPGRADING FACTOR BY COMPARING ZONES 136 11.3.2.4
SAFETY MARGIN FOR AN ..UPGRADING FACTOR 137 11.4 COMPARISON OF SAMPLE
SERIES WITH DIFFERENT SAMPLE CHARACTER 141 11.5 TREATMENT OF SAMPLE
SERIES WITH DIFFERENT SAMPLE QUALITIES 145 11.5.1 ASSESSMENT OF CORE
LOSS 145 11.5.1.1 INTRODUCTION 145 11.5.1.2 SAMPLING IN THE EVENT OF
CORE LOSS 145 11.5.1.2.1 STATISTICAL TREATMENT OF CORE LOSS 145 11.5.2
OTHER PROBLEMS WITH DIFFERENT QUALITIES OF SAMPLE 146 11.5.2.1 CHANNEL
SAMPLING 146 11.5.2.2 SAMPLING FOR SELECTIVE MINING 148 12 PROBLEMS
RELATED TO CUT-OFF LEVELS 151 13 GEOSTATISTICAL CALCULATIONS 161 13.1
INTRODUCTION 161 13.2 THE VARIOGRAM 163 13.2.1 FUNDAMENTAL PRINCIPLES
FOR CALCULATING THE VARIOGRAM 163 13.2.2 VARIOGRAM MODELS 172 13.2.3
ALLOWING FOR OUTLIERS IN THE CALCULATION OF VARIOGRAMS 174 13.3 RESERVE
CLASSIFICATION BY GEOSTATISTICAL CALCULATIONS 176 13.3.1 INTRODUCTION
176 13.3.2 SIZE OFTHE BLOCKS 177 CONTENTS 13-3-3 DRILL GRID 177 13.3.4
CALCULATION OF THE GEOSTATISTICAL ESTIMATION VARIANCE 179 13.3.4.1
REFERENCE DATUM 179 13.3.4.2 THE RELATIVE ESTIMATION VARIANCE FOR THE
AREA S OF THE MINERAL DEPOSIT 180 13-3-4-3 THE RELATIVE ESTIMATION
VARIANCE OF THE ACCUMULATION VALUE GT 182 13-3-4-3-1 THE RELATIVE
ESTIMATION VARIANCE FOR THE REGULAR GRID 182 13-3-4-3-2 THE RELATIVE
ESTIMATION VARIANCE FOR THE RANDOM STRATIFIED GRID 183 13.3.4.3.3 THE
RELATIVE ESTIMATION VARIANCE FOR THE IRRIGULAR GRID 185 13-3-4-3-4 THE
EDGE EFFECT 185 13.3.4.4 THE RELATIVE ESTIMATION VARIANCE FOR GRADES 185
13.3.5 EXAMPLE OF USING GEOSTATISTICAL CALCULATIONS FOR CLASSIFYING
RESERVES 186 13.4 ESTIMATING THE GRADES OF INDIVIDUAL BLOCKS 191 13.4.1
INTRODUCTION 191 13.4.2 SIMPLE WEIGHTING WITH THE CORNER POINTS OF A
BLOCK 193 13.4.3 THE INVERSE SQUARED DISTANCE (ISD) WEIGHTING METHOD 194
13.4.4 WEIGHTING WITH FACTORS DERIVED DIRECTLY FROM THE VARIOGRAM 197
13.4.5 KRIGING 200 13.4.5.1 INTRODUCTION 200 13.4.5.2 POINT KRIGING 202
13.4.5.2.1 EQUATIONS FOR THE KRIGING SYSTEM WITHOUT AND WITH A KNOWN 202
13.4.5.2.2 EXAMPLE OF KRIGING WITHOUT A MEAN 204 13.4.5.2.3 EXAMPLE OF
KRIGING WITH A KNOWN MEAN 208 CONTENTS XI 13.4.5.3 BLOCK KRIGING 210
13.4.5.4 SUMMARY REMARKS ON THE CALCULATED WEIGHTING FACTORS 215
13.4.5.5 CALCULATION OF THE KRIGING VARIANCE 218 13.4.6 THE SCREEN
EFFECT 220 13.4.7 CALCULATION OF VARIANCE BY THE DE WIJS VARIOGRAM 220
13.4.8 EXTRAPOLATION WITH GEOSTATISTICAL PARAMETERS 224 14 FURTHER
STATISTICAL, CONSIDERATIONS FOR EVALUATING MINERAL DEPOSITS 229 15 BIAS
IN RESERVE CALCULATIONS 231 PART B EXPLORATION STATISTICS 16
INTRODUCTION 237 17 DEFINING AN EXPLORATION GRID 239 17.1 GEOLOGICAL
CONSIDERATIONS 239 17.2 STATISTICAL CONSIDERATIONS 241 17.2.1 SPACING
BETWEEN SURVEY LINES 241 17.2.2 SPACING BETWEEN LINES AND BETWEEN SURVEY
POINTS ON THE LINES 244 18 DETERMINING ANOMALIES FROM GEOCHEMICAL
EXPLORATION DATA 247 18.1 PREPARATION OFTHE DATA SET 247 18.2 DEFINING
ANOMALOUS VALUES AND POPULATIONS . 248 18.2.1 LOWNUMBER OF ANOMALOUS
VALUES 248 18.2.1.1 EVALUATION USING THE MEDIAN AND STANDARD DEVIATION
249 18.2.1.1.1 FUNDAMENTALS 249 18.2.1.1.2 DISTRIBUTION TESTS 251
18.2.1.1.3 EXAMPLES OF DETERMINING THE THRESHOLD VALUES 253 XII CONTENTS
18.2.1.2 ROUGH ESTIMATES USING THE MEDIAN ONLY 256 18.2.2 NUMEROUS
ANOMALOUS VALUES 256 18.2.2.1 THE IDENTIFICATION OF POPULATIONS 256
18.2.2.2 SIMPLE SEPARATION OF TWO POPULATIONS 259 18.2.2.3 MORE DETAILED
DISCRIMINATION BETWEEN TWO POPULATIONS 262 18.2.2.4 DETERMINING THE
THRESHOLD FOR ANOMALOUS POPULATIONS 264 18.2.2.5 APPRAISING OTHER
DISTRIBUTIONS OBTAINED DURING GEOCHEMICAL EXPLORATION 265 18.3
DETERMINING THE RELATIVE GEOCHEMICAL CONTRAST 266 19 OTHER METHODS FOR
DEFINING ANOMALIES 269 19.1 FILTER METHODS 269 19.1.1 FILTERING WITH
MOVING AVERAGES 269 19.1.2 THE FRASER FILTER 271 19.2 ADDITION AND
MULTIPLICATION METHODS 274 20 DEFINING A DRILL GRID 277 20.1 BASIC
CONSIDERATIONS 277 20.1.1 PROBABILITY OF INTERSECTING A BLIND TARGET 277
20.1.2 THETYPEOFGRID 280 20.2 GEOSTATISTICAL METHODS FOR DETERMINING THE
DRILL SPACING 283 20.2.1 APPLICATION OFTHE MATHERON DIAGRAM 283 20.2.2
CONSIDERATION OF RECTANGULAR BLOCKS 287 20.3 DEFINING A RANDOM GRID
PATTERN 287 20.4 TESTING FOR RANDOMNESS 289 21 ASSESSING THE EXPLORATION
RISK 293 CONTENTS XIII 21.1 INTRODUCTORY COMMENTS 293 21.2 THE EXPECTED
MONETARY VALUE (EMV) METHOD 293 21.3 THE EXPECTED VALUE OF EACH
DISCOVERY 294 21.4 CALCULATING THE EXPLORATION SUCCESS BY THE LAW OF
GAMBLER S RUIN 296 21.5 CALCULATION OFTHE MINIMUM EXPLORATION BUDGET 299
21.6 ASSESSING VARIOUS EXPLORATION ALTERNATIVES 301 21.6.1 ASSESSMENT
WITH A DECISION DIAGRAM 301 21.6.2 APPLICATION IN MINERAL EXPLORATION
304 21.7 ASSESSMENT OF ALTERNATIVE EXPLORATION STRATEGIES USING
SLICHTER S METHOD 35 APPENDIX TABLES 1-15 309 APPENDICES A1/A2, BI/B2,
C1/C2 337 REFERENCES 343 GLOSSARY 355 INDEX 363
|
| any_adam_object | 1 |
| author | Wellmer, Friedrich-Wilhelm 1940- |
| author_GND | (DE-588)10678188X |
| author_facet | Wellmer, Friedrich-Wilhelm 1940- |
| author_role | aut |
| author_sort | Wellmer, Friedrich-Wilhelm 1940- |
| author_variant | f w w fww |
| building | Verbundindex |
| bvnumber | BV011061095 |
| classification_rvk | RB 10126 TG 1111 TZ 5000 |
| ctrlnum | (OCoLC)247758391 (DE-599)BVBBV011061095 |
| dewey-full | 622.10727 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 622 - Mining and related operations |
| dewey-raw | 622.10727 |
| dewey-search | 622.10727 |
| dewey-sort | 3622.10727 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Geologie / Paläontologie Bergbau / Hüttenwesen Geographie |
| format | Book |
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| id | DE-604.BV011061095 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T10:05:37Z |
| institution | BVB |
| isbn | 3540612424 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007408144 |
| oclc_num | 247758391 |
| open_access_boolean | |
| owner | DE-703 DE-706 DE-634 DE-83 DE-19 DE-BY-UBM |
| owner_facet | DE-703 DE-706 DE-634 DE-83 DE-19 DE-BY-UBM |
| physical | XXI, 379 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| spellingShingle | Wellmer, Friedrich-Wilhelm 1940- Statistical evaluations in exploration for mineral deposits with 74 tables Lagerstättenkunde (DE-588)4140085-9 gnd Rohstoffwirtschaft (DE-588)4050434-7 gnd Lagerstätte (DE-588)4039443-8 gnd Prospektion (DE-588)4047505-0 gnd Mathematik (DE-588)4037944-9 gnd Fachrechnen (DE-588)4307111-9 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4140085-9 (DE-588)4050434-7 (DE-588)4039443-8 (DE-588)4047505-0 (DE-588)4037944-9 (DE-588)4307111-9 (DE-588)4056995-0 |
| title | Statistical evaluations in exploration for mineral deposits with 74 tables |
| title_auth | Statistical evaluations in exploration for mineral deposits with 74 tables |
| title_exact_search | Statistical evaluations in exploration for mineral deposits with 74 tables |
| title_full | Statistical evaluations in exploration for mineral deposits with 74 tables Friedrich-Wilhelm Wellmer |
| title_fullStr | Statistical evaluations in exploration for mineral deposits with 74 tables Friedrich-Wilhelm Wellmer |
| title_full_unstemmed | Statistical evaluations in exploration for mineral deposits with 74 tables Friedrich-Wilhelm Wellmer |
| title_short | Statistical evaluations in exploration for mineral deposits |
| title_sort | statistical evaluations in exploration for mineral deposits with 74 tables |
| title_sub | with 74 tables |
| topic | Lagerstättenkunde (DE-588)4140085-9 gnd Rohstoffwirtschaft (DE-588)4050434-7 gnd Lagerstätte (DE-588)4039443-8 gnd Prospektion (DE-588)4047505-0 gnd Mathematik (DE-588)4037944-9 gnd Fachrechnen (DE-588)4307111-9 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Lagerstättenkunde Rohstoffwirtschaft Lagerstätte Prospektion Mathematik Fachrechnen Statistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007408144&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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