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  • Articles  (25)
  • geostatistics  (25)
  • 1980-1984  (25)
  • Mathematics  (25)
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  • Articles  (25)
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  • 1
    Electronic Resource
    Electronic Resource
    Exact formulas for approximating variogram function integrals (1980)
    Springer
    Mathematical geology 12 (1980), S. 577-588 
    Details
    ISSN: 1573-8868
    Keywords: variogram ; geostatistics ; estimation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract The application of regionalized variables requires the estimation of the variogram function and the evaluation of its integral. By representing the variogram by a polygonal function the integral may be easily approximated by closed form representations of polygonal integrals. This approach provides a basis for more extensive statistical evaluation not evident in existing approximation methods. This paper provides the closed form representations for two-dimensional variogram functions whose domain is represented by a finite collection of rectangles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01034745
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  • 2
    Electronic Resource
    Electronic Resource
    On the estimation of the generalized covariance function (1982)
    Springer
    Mathematical geology 14 (1982), S. 57-64 
    Details
    ISSN: 1573-8868
    Keywords: estimation ; generalized covariance function ; generalized increments ; geostatistics ; intrinsic random functions ; multicollinearity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract The estimation of the generalized covariance function, K, is a major problem in the use of intrinsic random functions of order k to obtain kriging estimates. The precise estimation by least-squares regression of the parameters in polynomial models for K is made difficult by the nature of the distribution of the dependent variable and the multicollinearity of the independent variables.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01037447
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  • 3
    Electronic Resource
    Electronic Resource
    The effect of drift on the experimental semivariogram (1982)
    Springer
    Mathematical geology 14 (1982), S. 309-319 
    Details
    ISSN: 1573-8868
    Keywords: Bias ; drift ; semivariogram ; geostatistics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract When nonlinear drift is present, the nature of the bias in the experimental semivariogram estimator of the semivariogram function is determined by the extent and density of the sampling as well as by the drift function itself. The bias caused by drift may affect the interpretation of the experimental semivariogram over its entire range.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01032592
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  • 4
    Electronic Resource
    Electronic Resource
    Studies of the effects of outliers and data transformation on variogram estimates for a base metal and a gold ore body (1982)
    Springer
    Mathematical geology 14 (1982), S. 557-564 
    Details
    ISSN: 1573-8868
    Keywords: geostatistics ; variogram ; outliers
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Variograms for gold and lead values from the Loraine and Prieska mines, respectively, indicate that data outliers can seriously distort and/or mask the real variogram patterns. Studies show that this problem is best overcome for these mines by logarithmic transformation of the data, and/or a suitable screening out of such outliers, and/or more robust variogram estimation procedures; the benefits are particularly significant when the basic data is limited.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01033879
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  • 5
    Electronic Resource
    Electronic Resource
    Prediction of local ore recoveries and ore-waste ratios at the silver bell uranium mine (1982)
    Springer
    Mathematical geology 14 (1982), S. 645-660 
    Details
    ISSN: 1573-8868
    Keywords: geostatistics ; uranium ; production forecast
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Geostatistical estimation techniques were customized to allow forecasting of production figures at the Silver Bell uranium mine (Uravan District).Surface drill hole data were used to provide a block model of kriged estimators of average uranium grades. Figures for recoverable ore grade and the ore-waste ratio are then deduced from regressive curves previously obtained from underground information and production data. Cross-validations of the entire model were performed and were found positive.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01033885
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  • 6
    Electronic Resource
    Electronic Resource
    Anisotropic hole-effect modeling (1982)
    Springer
    Mathematical geology 14 (1982), S. 217-239 
    Details
    ISSN: 1573-8868
    Keywords: geostatistics ; variograms ; anisotropies ; tungsten
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract The regionalization of tungsten grades at the χ deposit represents an ideal case for anisotropic hole-effect variogram modeling. The modeling technique is presented step by step and the consequences of the model on block kriging are indicated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01032885
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  • 7
    Electronic Resource
    Electronic Resource
    Sequential sampling to contour an uncertain function (1982)
    Springer
    Mathematical geology 14 (1982), S. 387-404 
    Details
    ISSN: 1573-8868
    Keywords: geostatistics ; resource estimation ; geoexploration ; sampling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Sampling exploration of uncertain functions to locate critical contour levels is most effective if sampling decisions are made sequentially. A simple sequential exploration strategy, based on pseudo-Bayesian second-moment analysis, is proposed and compared with non-sequential systematic sampling. Repeated application to functions simulated pseudorandomly from stationary random processes on the line and on the plane indicates uniform superiority of the sequential strategy. The method is particularly advantageous when the function of interest,h(X), has an uncertain trend, and in general when the random process that quantifies prior uncertainty onh(X) is highly correlated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01077529
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  • 8
    Electronic Resource
    Electronic Resource
    Geostatistical case studies of the advantages of lognormal-de Wijsian kriging with mean for a base metal mine and a gold mine (1982)
    Springer
    Mathematical geology 14 (1982), S. 547-555 
    Details
    ISSN: 1573-8868
    Keywords: geostatistics ; kriging
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Parallel variogram analyses, block kriging, and follow-up studies were effected for the lead content of part of the Prieska copper-zinc ore body and for the gold content of the highly variable Breef in a section of the Loraine gold mine, based first on untransformed values and second on logarithmically transformed values using the lognormal-de Wijsian model. For both models the effect was also analyzed of using the population mean or ignoring it. Practical follow-up comparisons confirm theoretical considerations and show that on these mines conditional biases can be eliminated conveniently by kriging with mean; also that the lognormal-de Wijsian model with mean gives the best results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01033878
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  • 9
    Electronic Resource
    Electronic Resource
    Automatic recognition of geologic prospects (1983)
    Springer
    Mathematical geology 15 (1983), S. 183-195 
    Details
    ISSN: 1573-8868
    Keywords: Computers ; data files ; exploration ; geostatistics ; petroleum ; prospects ; spatial filtering ; trend analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Computer recognition of prospective areas through the processing of digital exploration data can be effective if the statistical tests for the determination of the prospects are pertinent to the presence of the desired mineral. Where exploration involves the application of polynomial trend analysis to structure contour maps in the search for petroleum and natural gas, standard analysis of variance tests may not indicate the best exploration maps. Variance tests may be completely invalid where isolated dips and clustered samples cause the surfaces generated by some of the most common trend programs to oscillate, creating a false impression of variance. On the other hand, tests that directly compare the position of residual features with areas of known production consistently indicate the best map for the determination of new prospects. They are simple to apply and appear to offer the most opportunity for the automatic recognition of prospective areas.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01030082
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  • 10
    Electronic Resource
    Electronic Resource
    Comparison of geostatistical calculations with the results of open pit mining at the Iharkut bauxite district, Hungary: A case study (1984)
    Springer
    Mathematical geology 16 (1984), S. 173-191 
    Details
    ISSN: 1573-8868
    Keywords: geostatistics ; reserve evaluation ; bauxite prospecting ; open-pit mining
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Geostatistical calculations were carried out on two completely exhausted open-pit bauxite mines in the Iharkut bauxite district, Hungary. Fictitious regular drilling grids were laid on the maps, and horizontal variograms were calculated for drilling grids evaluating the bauxite surface, footwall surface, and bauxite thickness. Point kriging was carried out for all three parameters. Bauxite reserves were calculated using block kriging for bauxite thickness. The total estimation variance of the reserves has been established. Results were compared with real reserves obtained from the mine maps.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01032215
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