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List of Figures

  1. Frequency Distribution of Iron in %.
  2. Typical Form of an Empirical Variogram and a Corresponding Model.
  3. Structural Anisotropy Expressed by the Variogram.
  4. Comparison of Empirical Distributions to the Gaussian One.
  5. Variograms, Places of Rain Gauges and Isolines of Three Different Simulations of Precipitation.
  6. Kriging Configuration of Block $V$ with Measurements $z_1, /ldots, z_8$.
  7. 5 Grades of Copper in ppm.
  8. Grades of Copper in ppm.
  9. Grades of Copper in ppm.
  10. Ideal Limiting Distribution of Grades of Copper.
  11. Cumulation Frequency of Porosity in Sand Stone.
  12. Scattergram of Copper and Nickel Data.
  13. Density of the Normal Distribution with Mean $/mu $ and Standard Deviation $/sigma $.
  14. Density of the Standard Normal Distribution.
  15. Histogram of Samples from a Gold Mine.
  16. Variogram of a Deposit of Copper.
  17. Regionalized Variable.
  18. Computed Simple Variogram.
  19. Nested Structures.
  20. (a) Sampling a Bauxite Thickness. (b) Nested Structures at Mazaugues on a Hectometric Scale. (c) Nested Structures at Mazaugues on a Decametric Scale.
  21. Behavior Near the Origin of the Variogram. (i) Parabolic Behavior; (ii) Linear Behavior; (iii) Nugget Effect; (iv) Pure Nugget Effect.
  22. Semi-variograms with Pure Nugget-effect.
  23. Ranges in Case of Anisotropy.
  24. Geometric Anisotropy.
  25. Hole-effect Model.
  26. Variogram of Copper Data.
  27. Variogram of Nickel Data.
  28. Data Aligned and Regularly Spaced (Rectilinear Drill Core).
  29. Data Arrangement and Semi-variogram.
  30. Smoothing Effect when Estimating a Variogram.
  31. Computation of the Variogram: Possible Paths.
  32. Computation of Variograms: Grouping into Angle Classes.
  33. Variogram Models.
  34. Variogram Fitting on Accumulation Data.
  35. Fitting of a Twice Nested Variogram Model.
  36. Distribution of Estimation Errors.
  37. Short-term Kriging at Chuquicamata.
  38. Histogram of Kriging Errors.
  39. Dispersion of Blast-hole Grades in the Bench.
  40. Dispersion of Blocks in the Bench.
  41. Dispersion of the Average of Two Neighboring Blocks in the Bench.
  42. Point and Regularized Semi-variograms.
  43. Core Samples Aligned along a Bore-hole.
  44. Geometrical Allocations of the Core Samples.
  45. Regularized Variogram.
  46. Influence of the Variability Structure on Kriging.
  47. Point Kriging: Sketch of Sample Locations.
  48. Block Kriging: Example.
  49. Drill Hole Identifications.
  50. Flow Diagram of an Example of Kriging.
  51. Histogram of ``1st Var.''.
  52. Scattergram of ``1st Var.'' and ``2nd Var.''.
  53. Variogram of the First Variable in Vertical Direction.
  54. Variogram of the Second Variable in Vertical Direction.
  55. Variogram of the First Variable in Horizontal Direction.
  56. Variogram of the Second Variable in Horizontal Direction.
  57. Table of the Drill Hole Numbers, generated by VUE.
  58. Table of the Values of the 2$^{nd}$ Variable in the 8$^{nd}$ Level, generated by VUE.
  59. Printed Specifications by the Kriging Program.
  60. Estimated Mean Values, Variances and Weight Factors.
  61. Kriging Estimates for Mean Values and Variances of both Variables.
  62. Comparison: Simulation - Kriging.
  63. Geometry of the ``Turning band''-methode.


Rudolf Dutter 2003-03-13