NDLI: The use of the Pareto distribution for fracture transmissivity assessment

Content Provider	Springer Nature Link
Author	Gustafson, Gunnar Fransson, Åsa
Copyright Year	2005
Abstract	For many applications data on the transmissivity distribution of individual fractures are necessary, i.e., discrete fracture network (DFN) modelling of groundwater flow and transport of solutes in fractured rock and design and performance of rock grouting. Using borehole data from the Äspö Hard Rock Laboratory, Sweden, it is shown that evaluated fracture transmissivities from three boreholes at Äspö can be well described by a Pareto or power-law distribution. Evaluated distribution parameters for the three boreholes are similar, which indicates that the Pareto distribution is a robust tool to assess three fracture transmissivity distributions. Using the evaluated distribution parameters random simulations of the original interval test data show that the approximate lognormal distributions of these are reproduced. This strengthens the credibility of the approach. It is shown how the distribution parameters can be assessed from incomplete data using the properties of the distribution. Finally, Pareto distribution transmissivities also imply Pareto distribution apertures of the fractures.Pour beaucoup d’applications sont nécessaires des données sur la distribution des transmissivités des fractures individuelles; des exemples sont la modélisation de l’écoulement et du transport dans les roches fracturés ainsi que l’analyse de performance de la cimentation des roches. Les données des forages analysées dans le Laboratoire des roches dures d’Äsprö-Suède ont montré que la distribution des transmissivités des fractures estimée pour trois forages d’Äsprö est en accord avec les lois de Pareto ou de puissance. paramètres pour trois forages ont des valeurs semblables ce qu’indique que la loi de Pareto peut bien évaluer la distribution des transmissivités des fractures. Les simulations aléatoires réalisés sur l’intervalle original des données qui ont utilisé les paramètres estimés des distributions ont bien reproduit la distribution log-normale approximée. Ce résultat a consolidé la confiance dans l’approche faite. On a montré que les paramètres de la distribution peuvent être estimés à partir de données incomplètes si on utilise les propriétés de la distribution. Finalement, la distribution de Pareto pour les transmissivités implique la même loi pour la distribution de l’épaisseur des fractures.Los datos sobre la distribución de la transmisividad en fracturas individuales, son necesarios para muchas aplicaciones, Ej. Modelación de redes de fracturamiento discreto (RFD) para flujo de agua subterránea y transporte de solutos en roca fracturada y para el diseño y ejecución de operaciones de cementación en roca. Mediante el uso del Laboratorio de Rocas Duras de Äspö en Suecia, se ha demostrado que las transmisividades por fractura evaluadas en tres perforaciones en Äspö pueden ser descritas bien por una distribución Pareto o Potencial. Los parámetros de distribución evaluados para las tres perforaciones son similares, lo cual indica que la distribución Pareto es una herramienta adecuada para evaluar tres distribuciones de transmisividad por fractura. Mediante el uso de simulaciones al azar, de los parámetros de distribución evaluados, a partir de los datos del intervalo de la prueba original, se muestra que las distribuciones lognormal así aproximadas de aquellos, pueden ser reproducidas. Esto refuerza la credibilidad del método. Se demuestra como los parámetros de distribución pueden ser evaluados a partir de datos incompletos, usando las propiedades de la distribución. Finalmente, las transmisividades con distribución Pareto, también implican aberturas de las fracturas con distribución Pareto.
Starting Page	15
Ending Page	20
Page Count	6
File Format	PDF
ISSN	14312174
Journal	Hydrogeology Journal
Volume Number	14
Issue Number	1-2
e-ISSN	14350157
Language	English
Publisher	Springer-Verlag
Publisher Date	2005-06-10
Publisher Institution	International Association of Hydrogeologists
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Hydraulic properties Groundwater hydraulics Fractured rocks Crystalline rock
Content Type	Text
Resource Type	Article
Subject	Earth and Planetary Sciences Water Science and Technology

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