Skip to main content
Log in

Artificially intelligent geostatistics: A framework accommodating qualitative knowledge-information

  • Articles
  • Published:
Mathematical Geology Aims and scope Submit manuscript

Abstract

The purpose of this paper is to stress the need to examine Al-based models and techniques in dealing with qualitative knowledge, information, and expertise in geostatistics. A model of artificially intelligent geostatistics is proposed as a general framework. The model focuses on the “Geostatistician,” an abstraction of the “collective” knowledge and intelligence of the geostatisticians, be they theoreticians and/or practitioners. Dynamic aspects of the model are examined in the context of an explicit knowledge formalism, integrating geostatistical knowledge, symbolic non-algorithmic techniques for knowledge-information representation and inference, and standard numerical data processing. Two implementations of related computer systems are given together with case studies.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bardossy, A., Bogardi, I, and Kelly, W. E., 1990, Kriging With Imprecise (Fuzzy) Variograms. I. Theory: Math. Geol., v. 22, p. 63–79.

    Google Scholar 

  • Borgida, A., Mylopoulos, J., and Wong, K. T., 1984, in M. L. Brodie et al. (Eds.), Generalization/Specification as a Basis for Software Specification: On Conceptual Modelling: Springer-Verlag, New York, p. 87–118.

    Google Scholar 

  • Christakos, G., 1990, A Bayesian/Maximum-Entropy View to the Spatial Estimation Problem: Math. Geol., v. 22, p. 763–777.

    Google Scholar 

  • Christakos, G., 1992, Random Field Models in Earth Sciences: Academic Press, New York.

    Google Scholar 

  • David, M., 1977, Geostatistical Ore Reserve Estimation: Elsevier, Amsterdam.

    Google Scholar 

  • David, M., 1989, Handbook of Advanced Applied Ore Reserve Estimation: Elsevier, Amsterdam.

    Google Scholar 

  • David, M., Dimitrakopoulos, R., and Marcotte, D., 1987, Geostat-1: A Prototype Expert System for the Explicit Knowledge Approach to Geostatistics: APCOM'87, v. 3, p. 121–126.

    Google Scholar 

  • Dimitrakopoulos, R., 1989, Conditional Simulation of IRF-k in the Petroleum Industry and the Expert System Perspective: Ph.D. thesis, Ecole Polytechnique, Montreal.

    Google Scholar 

  • Dimitrakopoulos, R., and Desbarats, A., 1993, Geostatistical Modelling of Gridblock Permeabilities for 3D Reservoir Simulators: SPE Reservoir Engineering, p. 13–18.

  • Duda, R. O., Hart, P. E., Nilsson, N. J., and Sutherland, G., 1978, Semantic Network Representations in Rule-Based Inference Systems: Pattern-Directed Inference Systems: Academic Press, New York, p. 203–221.

    Google Scholar 

  • Englund, E. J., 1990, The Variance of Geostatisticians: Math. Geol., v. 22, p. 417–455.

    Google Scholar 

  • Haugeland, J., 1985, Artificial Intelligence: The Very Idea: MIT Press, Cambridge, Massachusetts.

    Google Scholar 

  • Journel, A. G., 1986, Constrained Interpolation and Qualitative Information—The Soft Kriging Approach: Math. Geol., v. 18, p. 269–286.

    Google Scholar 

  • Journel, A. G., and Huijbregts, Ch. J., 1978, Mining Geostatistics: Academic Press, New York.

    Google Scholar 

  • Kuhn, T. S., 1970, The Structure of Scientific Revolutions, 2nd ed: University of Chicago Press, Chicago.

    Google Scholar 

  • Lehnert, W. G., 1981, Pilot Units and Narrative Summarization: Cognit. Sci., v. 4, p. 293–331.

    Google Scholar 

  • Levesque, H. J., and Mylopoulos, J., 1979, A Procedural Semantics for Semantic Networks: Associative Networks: Academic Press, New York, p. 93–120.

    Google Scholar 

  • Matheron, G., 1972, The Theory of Regionalized Variables and Its Application: Les Cahiers de Centre du Morphologie Mathematique Fasc. 5, CG, Fontainebleau.

  • Matheron, G., 1978, Estimer et Choisir: Les Cahiers de Centre du Morphologie Mathematique Fasc. 7, CG, Fontainebleau (English translation by A. M. Hasofer, available since 1989—Estimating and Choosing; An Essay on Probability in Practice: Springer-Verlag, Berlin).

  • McCammon, R., 1986, The μPROSPECTOR Mineral Consultant System: U.S. Geological Survey Bulletin 1697.

  • Miller, B. M., 1986, Building an Expert System Helps Classify Sedimentary Basins and Assess Petroleum Reservoirs: Geobyte, v. 1, p. 44–50.

    Google Scholar 

  • Mylopoulos, J. and Levesque, H. J., 1984, An Overview of Knowledge Representation,in On Conceptual Modelling: Springer-Verlag, New York, p. 3–17.

    Google Scholar 

  • Newell, A., 1980, Physical Symbol Systems: Cognit. Sci., v. 4, p. 135–183.

    Google Scholar 

  • Newell, A., and Simon, H. A., 1976, Computer Science as Empirical Inquiry: Symbols and Search: Commun. ACM, v. 19, p. 113–126.

    Google Scholar 

  • Olea, R. A., and Davis, J. C., 1986, An Artificial Intelligence Approach to Lithostratigraphic Correlation Using Geophysical Well Logs: SPE paper no. 15603.

  • Rendu, J.-M., and Reddy, L., 1982, Geology and the Semivariogram—A Critical Relationship: APCOM-82, p. 771–783.

  • Shultz, A. W., Fang, J. H., Burston, M. R., Chen, H. C., and Reynolds, S., 1987, XEOD: An Expert System for Determining Clastic Depositional Environments: Geobyte, v. 3, n. 2, p. 22–26.

    Google Scholar 

  • Slade, S., 1991, Case-Based Reasoning: A Research Paradigm: AI Magazine, December, p. 42–55.

  • Smith, R. G., and Baker, J. D., 1983, The Dipmeter Advisor System: A Case Study in Commercial Expert System Development: Proc. IJACI-83, p. 122–129.

  • Winston, P. H., 1984, Artificial Intelligence: Addison-Wesley, Reading, Massachusetts.

    Google Scholar 

  • Wolcott, D. S. and Chopra, A. K., 1993, Investigating Infill Drilling Performance and Reservoir Continuity Using Geostatistics,in B. Linville (ed.) Reservoir Characterization III: PennWell Books, Tulsa, Oklahoma, pp. 297–326.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dimitrakopoulos, R. Artificially intelligent geostatistics: A framework accommodating qualitative knowledge-information. Math Geol 25, 261–279 (1993). https://doi.org/10.1007/BF00901419

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00901419

Key words

Navigation