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Geostatistics: Roadblocks and Challenges

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Geostatistics Tróia ’92

Part of the book series: Quantitative Geology and Geostatistics ((QGAG,volume 5))

Abstract

Misconceptions about the role of random function models may have distracted geostatistical research into unrewarding debates about model properties and led some practitioners into using more complex algorithms when simpler ones would have sufficed.

Typical of such roadblocks are concerns about stationarity, ergodicity, model consistency when random function models have no intrinsic siginificance. They are but data analysis tools and, as such, can be bent, retooled or simply discarded.

The challenge proposed to geostatistical theory is to data-charge its algorithms to account for an ever increasing variety of information, of both structural nature (multiple-event dependence beyond traditional two-point covariances) and local nature (hard and soft data). Last, like recent developments in simulated annealing, these algorithms need not be probabilistic.

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References

  1. Myers, D. E. (1989) — To be or not to be... stationary? That is the question, Math. Geol. 21(3): 347–362.

    Article  Google Scholar 

  2. Blum, J. R. (1982) — Ergodic theorems. Entry in Encyclopedia of Statistical Sciences, ed. Kotz and Johnson, Wiley & Sons, 2: 541–545.

    Google Scholar 

  3. Journel, A. G. and Rossi, M. (1989) — When do we need a trend model in kriging?, Math. Geol. 21(7): 715–739.

    Article  Google Scholar 

  4. Srivastava, M. (1987) — Minimum variance or maximum profitability?, in CIM 80(901): 63–68.

    Google Scholar 

  5. Christakos, G. (1990) — A Bayesian/maximum entropy view of the spatial estimation problem, in Math. Geol. 22(7): 763–777.

    Article  Google Scholar 

  6. Journel, A. G. and Alabert, F (1989) — Non-Gaussian data expansion in the earth sciences, in Terra Nova 1(2): 123–134.

    Article  Google Scholar 

  7. Solow, A. (1986) — Mapping by simple indicator kriging, in Math. Geol. 18(3): 335–352.

    Article  Google Scholar 

  8. Guardiano, F. and Srivastava, M. (1992) — Multivariate geostatistics: beyond two-point moments, in Proc of 4th Int. Geostat. Congress, in this volume.

    Google Scholar 

  9. Luenberger, D. (1969)Optimization by vector space methods, Wiley & Sons, 326p.

    Google Scholar 

  10. Deutsch, C. and Journel, A. G. (1992) — GSLIB: Geostatistical software library and Users’ guide, Oxford University Press.

    Google Scholar 

  11. Srivastava, R. M. (1991) — P-fields conditional simulations, FSS International internal report.

    Google Scholar 

  12. Froidevaux, R. (1992) —Probability field simulation, in Proc. of the 4th Geo-stat. Congress, in this volume.

    Google Scholar 

  13. Geman, S. and Geman, D. (1984) — Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images, in IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-6(6): 721–741.

    Article  Google Scholar 

  14. Deutsch, C. V. (1992) — Conditioning stochastic reservoir models to well test information, in Proc. of 4th Int. Geostat Congress (this volume).

    Google Scholar 

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© 1993 Kluwer Academic Publishers

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Journel, A.G. (1993). Geostatistics: Roadblocks and Challenges. In: Soares, A. (eds) Geostatistics Tróia ’92. Quantitative Geology and Geostatistics, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1739-5_18

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  • DOI: https://doi.org/10.1007/978-94-011-1739-5_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-2157-6

  • Online ISBN: 978-94-011-1739-5

  • eBook Packages: Springer Book Archive

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