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Trends, prospects and challenges in quantifying flow and transport through fractured rocks

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Abstract

Among the current problems that hydrogeologists face, perhaps there is none as challenging as the characterization of fractured rock (Faybishenko and Benson 2000). This paper discusses issues associated with the quantification of flow and transport through fractured rocks on scales not exceeding those typically associated with single- and multi-well pressure (or flow) and tracer tests. As much of the corresponding literature has focused on fractured crystalline rocks and hard sedimentary rocks such as sandstones, limestones (karst is excluded) and chalk, so by default does this paper. Direct quantification of flow and transport in such rocks is commonly done on the basis of fracture geometric data coupled with pressure (or flow) and tracer tests, which therefore form the main focus. Geological, geophysical and geochemical (including isotope) data are critical for the qualitative conceptualization of flow and transport in fractured rocks, and are being gradually incorporated in quantitative flow and transport models, in ways that this paper unfortunately cannot describe but in passing. The hydrogeology of fractured aquifers and other earth science aspects of fractured rock hydrology merit separate treatments. All evidence suggests that rarely can one model flow and transport in a fractured rock consistently by treating it as a uniform or mildly nonuniform isotropic continuum. Instead, one must generally account for the highly erratic heterogeneity, directional dependence, dual or multicomponent nature and multiscale behavior of fractured rocks. One way is to depict the rock as a network of discrete fractures (with permeable or impermeable matrix blocks) and another as a nonuniform (single, dual or multiple) continuum. A third way is to combine these into a hybrid model of a nonuniform continuum containing a relatively small number of discrete dominant features. In either case the description can be deterministic or stochastic. The paper contains a brief assessment of these trends in light of recent experimental and theoretical findings, ending with a short list of prospects and challenges for the future.

Résumé

Parmis les problèmes aucquels font face les hydrogéologues, il y a celui de la caractérisation des roches fracturées (Faybishenko and Benson, 2000). Cet article discute des solutions associées aux quantifications des écoulements et des transports à travers les roches fracturées à l’échelles des essais de puits et des essais de traçage. Une part importante de la litérature traite des roches cristallines, des roches sédimentaires consolidées telles les grés, les calcaires (exeptés les karsts) et la craie. De fait, cet article traitera la même panoplie de roches. La quantification directe des écoulements et du transport dans de tels milieux est généralement abordée via la géométrie des fractures, les données de pression et de traçage, qui déslors sont les objets principaux de notre étude. La géologie, la géophysique et la géochimie (incluant la géochimie isotopique) sont criticables car elles donnent des informations qualitatives sur l’écoulement et le transport des aquifères fracturés, et son intégrées graduellement dans des modèles qualitatifs. La manière d’intégrer ces données dépasse malheureusement cet article. L’hydrogéologie des aquifères de fractures et les autres sciences de la terre s’intéressant aux roches fracturées méritent des traîtements différents. En toute évidence il est suggéré que rarement un modèle d’écoulement et de transport dans une roche fracturée puisse être traité comme un milieu isotropique continu, uniforme ou moyennement non-uniforme. Par ailleurs, il est admis la dépendance entre la forte hétérogénéité erratique et la variété de natures et de comportements des roches fracturées. Une manière de régler le problème est de considérer le milieu comme un réseau de fractures discrètes (avec une perméabilité de matrice ou de bloc). Une autre est de l’envisager comme un milieu non-uniforme (simple, double ou multiple) continu. Une troisième manière est de combiner ceci dans un modèle hybride d’un milieu non-uniforme, contenant un relativement petit nombre de fractures dominantes et discrètes. Dans d’auters cas la description peut être déterministe ou stochastique. L’article contient un brève apperçu de ces tendances à la lumière d’expériences récentes et de nouvelles théories, et se termine par une courte liste de «challenge» et de priorités pour le futur.

Resumen

Entre los problemas actuales que enfrentan los hidrogeólogos, quizá no hay uno tan desafiante como la caracterización de roca fracturada (Faybishenko y Benson, 2000). Este artículo discute problemas asociados con la cuantificación de flujo y transporte a través de rocas fracturadas en escalas que no exceden las típicas asociadas con presión (o flujo) en un solo pozo o varios pozos y pruebas con trazadores. Debido a que mucha de la literatura del tema se ha enfocado en rocas cristalinas fracturadas y rocas sedimentarias duras tal como areniscas, calizas (excluyendo karst) y creta, también en contumacia lo hace este artículo. La cuantificación directa del flujo y transporte en tales rocas se hace comúnmente en base a datos geométricos de fracturas acoplados con pruebas de presión (o flujo) y trazadores, los cuales por lo tanto constituyen nuestra principal orientación. Datos geológicos, geofísicos y geoquímicos (incluyendo isótopos) son críticos para la conceptualización cuantitativa de flujo y transporte en rocas fracturadas, y se han estado incorporando gradualmente en modelos cuantitativos de flujo y transporte, en formas que desafortunadamente este artículo solo puede describir de paso. La hidrogeología de rocas fracturadas y otros aspectos de ciencia de la tierra de hidrología de rocas fracturadas amerita tratamientos separados. Toda la evidencia sugiere que uno raramente puede modelizar flujo y transporte en una roca consistentemente fracturada si la considera como una unidad continua isotrópica uniforme o poco uniforme. En vez de adoptar este enfoque, uno tiene generalmente que explicar la heterogeneidad altamente errática, dependencia direccional, naturaleza doble o multicomponente y comportamiento multiescalar de las rocas fracturadas. Una manera de lograr esto consiste en considerar que la roca contiene una red de fracturas discretas (con bloques de matriz permeable o impermeable) y otro modo en considerar la roca como una unidad continua no uniforme (sola, doble o múltiple). Un tercer procedimiento consiste en combinar las dos maneras anteriores en un modelo híbrido el cual consiste de un continuo no uniforme conteniendo un número relativamente pequeño de fracturas principalmente discretas. En ambos casos la descripción puede ser determinística o estocástica. El artículo contiene una evaluación breve de estas tendencias en base a descubrimientos recientes teóricos y experimentales, terminando con una lista corta de prospectos y desafíos para el futuro.

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Correspondence to Shlomo P. Neuman.

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Neuman, S.P. Trends, prospects and challenges in quantifying flow and transport through fractured rocks. Hydrogeol J 13, 124–147 (2005). https://doi.org/10.1007/s10040-004-0397-2

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