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Hydraulische Modellierung und die Ermittlung des repräsentativen Elementarvolumens (REV) im Kluftgestein

Hydraulic modelling and the evaluation of the representative elementary volume (REV) in fractured rock

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Kurzfassung

Ziel der vorliegenden Arbeit ist die Entwicklung einer Methode zur Ermittlung der hydraulischen Durchlässigkeit und des repräsentativen Elementarvolumens (REV) in Kluftgrundwasserleitern, die zur hydraulischen Modellierung von großräumigen Kluftsystemen verwendet werden kann. Für die Ermittlung der Durchlässigkeit wurden zweidimensionale stochastische Kluftnetze simuliert. Aufgrund der Tatsache, dass die Kluftdichten im Untersuchungsgebiet stark variieren, wurde eine Sensitivitätsstudie durchgeführt, in der drei verschiedene Kluftdichten hinsichtlich ihrer hydraulischen Eigenschaften genauer untersucht wurden. Das Fließverhalten in den Kluftnetzen wurde durch das kubische Gesetz (cubic law) beschrieben. Die hydraulische Modellierung im Kluftgestein zeigte, dass nicht für alle Kluftnetze ein REV ermittelt werden konnte. Für Kluftnetze mit einer mittleren (P21 = 13,1 m–1) und großen Kluftdichte (P21 = 16,9 m–1) konnte bis auf eine einzige Ausnahme für alle drei untersuchten Gesteinsformationen ein REV mit einer Größe von 10 m × 10 m ermittelt werden. Hingegen konnte für Kluftnetze mit einer geringen Kluftdichte (P21 = 5,1 m–1) kein REV bestimmt werden.

Abstract

The objective of the following study is the development of a method for the evaluation of the hydraulic conductivity and the representative elementary volume (REV) in fractured rock aquifers, which can be used for the hydraulic modelling of large-scale fractured systems. Two-dimensional stochastic discrete fracture networks were simulated for the evaluation of hydraulic conductivity. Due to the strongly variable fracture density in the considered area, a sensitivity study was performed which examined three various fracture densities according to their hydraulic properties. The flow behaviour in the discrete fracture networks is described with the cubic law. The hydraulic modelling in the fractured rock showed that an REV could not be determined for all discrete fracture networks. With one exception, an REV with a size of 10 m × 10 m could be determined for discrete fracture networks with a medium (P21 = 13.1 m–1) and high fracture density (P21 = 16.9 m–1). In contrast, no REV could be found for discrete fracture networks with a low fracture density (P21 = 5.1 m–1).

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Authors and Affiliations

  1. Zentrum für Angewandte Geowissenschaften, Eberhard-Karls-Universität Tübingen,, Sigwartstr. 10, 72076, Tübingen, Deutschland

    P. Blum

  2. School of Geography, Earth and Environmental Sciences, University of Birmingham, Edgbaston, Birmingham, B15 2TT, Großbritannien

    R. Mackay & M.S. Riley

  3. United Kingdom Nirex Limited, Curie Avenue, Harwell, Didcot, Oxfordshire, OX11 0RH, Großbritannien

    J.L. Knight

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Blum, P., Mackay, R., Riley, M. et al. Hydraulische Modellierung und die Ermittlung des repräsentativen Elementarvolumens (REV) im Kluftgestein. Grundwasser 12, 48–65 (2007). https://doi.org/10.1007/s00767-007-0017-x

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