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Constraining the uncertainty in fracture geometry using tracer tests

Estimer les incertitudes de géométrie des fractures par l’utilisation de tests de traçages

Limitación de la incerteza en una geometría de fractura utilizando pruebas de trazadores

利用示踪试验约束裂隙几何形态的不确定性

Redução da incerteza na geometria de fracturas utilizando testes de traçadores

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Abstract

In fractured-rock aquifers, the geometric and hydraulic properties of the fractures commonly have a dominant influence on transport. Tracer tests are often used to estimate directly the gross transport properties of a fractured rock mass. The prospects for understanding characteristics of the heterogeneities in a fractured porous medium were explored from evidence provided by tracer experiments. The approach was to simulate flow and transport on a large set of prescribed fracture networks in a two-dimensional homogeneous permeable medium, thus generating synthetic tracer test data. The fracture orientation, aperture, spacing and network geometry were systematically altered from one case to the next. A classification scheme was devised for the tracer breakthrough curves using principal component analysis and this classification was linked to the fracture pattern properties. Even under highly simplified and controlled conditions, quite different fracture patterns can produce very similar breakthrough curves. The classification scheme thus demonstrates that a single breakthrough curve cannot reveal the fracture geometry with any precision. However, the scheme provided a methodology for rejecting geometric properties that do not belong to the fracture pattern under investigation, thus reducing the uncertainty in fracture geometry.

Résumé

Pour les aquifères de type fracturés, la géométrie et les propriétés hydrauliques des fractures sont en général des paramètres influençant fortement le transport. Des essais de traçage permettent souvent l’estimation directe simplifiée des propriétés de transport dans les roches fracturées. La possibilité de comprendre les caractéristiques des hétérogénéités dans un milieu fracture poreux a été explorée à partir des résultats de divers expériences de traçage. La méthode consistait à simuler les flux et le transport pour une large gamme de réseaux de fractures dans un milieu 2D perméable homogène, générant ainsi des données expérimentales de tests de traçage. L’orientation de la fracturation, l’ouverture, l’espacement et la géométrie du réseau ont été systématiquement modifiés d’un test à l’autre. Un programme de classification a été conçu pour traiter les courbes de restitution des traceurs obtenues en utilisant une analyse en composantes principales et cette classification a été reliée aux propriétés de la configuration des fractures. Même sous des conditions très simplifiées et contrôlées, des configurations de fractures très différentes peuvent générées des courbes de restitution très similaires. Le programme de classification montre ainsi qu’une simple courbe de restitution ne peut pas représenter précisément une géométrie de fracture. Toutefois, le schéma a permis une méthode pour rejeter les propriétés géométriques qui n’appartiennent pas à un modèle de fracturation étudié. Réduisant ainsi l’incertitude sur la géométrie des fractures.

Resumen

La geometría y propiedades hidráulicas de las fracturas en los acuíferos de rocas fracturadas, comúnmente tienen una influencia dominante en el transporte. Las pruebas de trazadores son utilizadas a menudo para estimar directamente las propiedades fundamentales del transporte en una masa de roca fracturada. Las perspectivas para entender las características de las heterogeneidades en un medio poroso fracturado fueron exploradas a partir de evidencias provistas por los experimentos con los trazadores. El enfoque fue simular el flujo y el transporte en un gran conjunto de redes prescriptas de fracturas en un medio permeable homogéneo bidimensional, generándose así datos sintéticos de las pruebas de trazadores. La orientación, apertura, espaciamiento y geometría de la red de las fracturas fueron sistemáticamente alteradas de un caso a otro. Un esquema de clasificación fue desarrollado para las curvas de avance (irrupción) de los trazadores utilizando el análisis de las componentes principales y esta clasificación fue vinculada con las propiedades del diseño de las fracturas. Aún bajo condiciones altamente simplificadas y controladas de muy diferentes diseños de fractura se producen curvas de avance (irrupción) muy similares. El sistema de clasificación demuestra así, que una sola curva de avance (irrupción) no tiene precisión alguna para revelar la geometría de la fractura. Sin embargo, el esquema brinda una metodología para rechazar propiedades geométricas que no pertenecen al diseño de las fracturas objeto de la investigación, reduciendo así la incerteza en la geometría de la fractura.

摘要

在裂隙含水层中, 裂隙的几何形态和水力特征通常对输运起主要影响。常用示踪试验直接评估裂隙岩体的整体输运特征。依据示踪试验结果, 探讨了认识裂隙多孔介质非均质性的前景。其方法是对事先定义好的2维均质渗透介质中的一大组裂隙网络进行流动与输运模拟, 从而生成模拟的示踪试验数据。各次试验中, 对裂隙方向、张开度、间距及网络几何形态系统的改变。应用主元分析为示踪剂突破曲线设计了一种分类方案, 这种方案与裂隙模式的性质相联系。即使在高度简化和受控条件下, 差别很大的裂隙模式也可产生非常相似的突破曲线。因此, 分类方案表明, 单一的突破曲线不能以任何精度揭示裂隙的几何形态。但分类方案提供了一种排除不属于所调查的裂隙模式的几何形态的方法, 从而降低了其不确定性

Resumo

Nos aquíferos em rochas facturadas, as propriedades geométricas e hidráulicas têm, em geral, um papel relevante nos fenómenos de transporte. Os testes de traçadores são muitas vezes utilizados para estimar directamente as principais propriedades que regem o transporte em meios rochosos fracturados. As perspectivas de entendimento das características das heterogeneidades num meio poroso fracturado foram exploradas com base nas evidências obtidas a partir de experiências com traçadores. A abordagem aqui utilizada consiste em simular o escoamento e o transporte num conjunto vasto de redes de fracturas num meio homogéneo, permeável, a 2D, permitindo a geração de dados sintéticos obtidos por testes de traçadores. A orientação, a abertura, o espaçamento, assim como a geometria da rede de fracturas foram sistematicamente modificados de caso para caso. Foi elaborado um esquema de classificação utilizando curvas de concentração do traçador versus tempo utilizando análise de componentes principais, com o objectivo de definir padrões de propriedades das facturas. Mesmo em condições muito simplificadas e controladas, padrões diferentes de fracturas podem produzir curvas de concentração semelhantes. Os resultados provenientes desta classificação demonstram assim que uma única curva de concentração vs tempo não pode revelar com a precisão desejada a geometria da rede de facturação. Contudo, o esquema oferece mesmo assim uma metodologia que permite rejeitar propriedades geométricas que não pertencem aos padrões de fractura em investigação, reduzindo assim a incerteza na representação geométrica das fracturas.

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Acknowledgements

We would like to thank the Natural Environment Research Council (NERC) for generously providing the funding through the Micro-to-Macro thematic research programme.

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Correspondence to Peter B. Johnston.

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Johnston, P.B., Atkinson, T., Barker, J. et al. Constraining the uncertainty in fracture geometry using tracer tests. Hydrogeol J 17, 527–539 (2009). https://doi.org/10.1007/s10040-008-0378-y

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