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Statistical analysis for the hydrogeological evaluation of the fracture networks in hard rocks

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Environmental Geology

Abstract

The hydrogeological effectiveness of fracture sets is determined and evaluated by the fuzzy c-mean and hierarchical clustering. These cluster analyses combine the geological spatial attributes and the hydraulic relevant attributes of fractures. Based on the results of the clustering the fracture set volumes are estimated.

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References

  • Bäck C (1994) Fuzzy Clusterverfahren und Validitätsmaße für unscharfe Partitionen. Unveröffentl. Diplomarbeit. Institut für Statistik, TU- Graz, Graz

  • Barton CC, Larsen E, Page WR, Howard TM (1993) Characterizing fractured rock for fluid-flow, geomechanical and paleostress modelling: methods and preliminary results from Yucca Mountain. Open-File Report 92-269, US Geological survey, Denver, pp 64

  • Bäumle CC, Hötzl H, Thüringer C, Witthüser K (1998) Untersuchungen zur Einrichtung eines Festgestein-Naturmeßfeldes. AGK 50, Karlsruhe, pp 29–50

  • Bezdek J (1981) Pattern recognition with fuzzy objective function algorithms. Plenum, New York

    Google Scholar 

  • Bridges MC (1975) Presentation of fracture data for rock mechanics. In: Proceedings of the 2nd Australia–New Zealand conference on geomechanics, Brisbane. Institution of Engineers, Australia

  • Davison AC, Hinkley DV (1997) Bootstrap methods and their application. Cambridge Series in Statistical and Probabilistic Mathematics, Cambridge

  • Hammah RE, Curran JH (1998) Fuzzy Cluster algorithm for the automatic identification of joint sets. Int J Rock Mech Min Sci 35:889–905

    Article  Google Scholar 

  • Hammah RE, Curran JH (1999) On distance measures for the fuzzy k-means algorithm for joint data. Rock Mech Rock Eng 32(1):1–27

    Article  Google Scholar 

  • ISRM (1978) Suggested methods for the quantitative description of discontinuities in rock mass. Int J Rock Mech Min Sci 15:319–368

    Article  Google Scholar 

  • Kulitulake PHW, Wathgala DN, Stephansson O (1993) Joint network modelling with a valiation exercise in Stripa Mine Sweden. Int J Rock Mech Min Sci 30:503–526

    Article  Google Scholar 

  • Long JCS (1993) Construction of equivalent discontinuum for fracture hydrology. In: Hudson JA (ed) Comprehensive rock engineering, vol 3. Pergamon press, Oxford, pp 241–295

  • Priest SD (1993) Discontinuity analysis for rock engineering, 1st edn. Chapman and Hall, London, 473 pp

  • Steinhausen D, Langer K (1977) Clusteranalyse Einführung in Methoden und Verfahren der automatischen Klassifikation. Walter de Gruyter, Berlin New York

    Google Scholar 

  • Wallbrecher E (1986) Tektonische und gefügeanalytische Arbeitsweisen. Ferdinand Enke Verlag Stuttgart, Stuttgart, 244 pp

  • Whitten DGA, Brooks JRV (1972) A dictionary of geology. Penguin, Harmondsworth

    Google Scholar 

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Acknowledgements

This methodology was developed within a research project supported by the Federal Ministry of Transport, Innovation and Technology of Austria and Joanneum Research Forschungsgesellschaft mbH.

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Authors and Affiliations

  1. Institute of Applied Statistics and System Analysis, Joanneum Research GmbH, Steyrergasse 25a, 8010, Graz, Austria

    J. Hofrichter

  2. Institute of Water Resources Management – Hydrogeology and Geophysics, Joanneum Research GmbH, Elisabethstraße 16/II, 8010, Graz, Austria

    G. Winkler

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  1. J. Hofrichter
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  2. G. Winkler
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Correspondence to J. Hofrichter.

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Hofrichter, J., Winkler, G. Statistical analysis for the hydrogeological evaluation of the fracture networks in hard rocks. Environ Geol 49, 821–827 (2006). https://doi.org/10.1007/s00254-006-0177-5

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  • DOI: https://doi.org/10.1007/s00254-006-0177-5

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