Abstract
Modelling of radionuclide transport in fractured media is a primary task for safety evaluation of a deep nuclear waste repository. A performance assessment (PA) model has been derived from site characterization data with the aim of improving confidence for quantifying transport of sorbing radionuclides at a safety time scale of 106 y. The study was conducted on a 200 × 200 × 200 m semi-synthetic fractured block, providing a realistic system derived from the Äspö Hard Rock Laboratory (Sweden) dataset. The block includes 5,632 fractures ranging from 0.5 to 100 m in length and a heterogeneous matrix structure (fracture coating, gouge, mylonite, altered and non-altered diorite). The PA model integrates steady-state flow conditions and transport of released radionuclides during the safety time scale. An original simulation method was developed involving Eulerian flow and transport within fracture planes with a mixed hybrid finite element scheme and a semi-analytical source term to account for heterogeneous matrix diffusion. Total mass flux of radionuclides (conservative to strongly sorbing) was computed. A method to simplify the system was demonstrated, leading to a major path of 12 fractures. This is mainly due to the low connectivity of the fracture network. Matrix diffusion and sorption proved to have major impact on block retention properties for PA conditions.
Résumé
La modélisation du transport de radionucléides dans les milieux fracturés est une tâche de première importance dans l’évaluation de la sûreté d’un site d’enfouissement de déchets nucléaires. Un modèle d’évaluation de performances a été développé ici à partir des données de caractérisation de site et en se fixant pour but d’augmenter la confiance dans la quantification du transport de radionucléides sorbants pour des échelles de temps de 106 ans, typiques de l’évaluation de performances. L’étude a été conduite sur un bloc fracturé semi synthétique de 200 mètres de côté, milieu jugé réaliste car ses caractéristiques ont été extraites des données du site du laboratoire souterrain Äspö Hard Rock Laboratory (Suède). Ce bloc contient 5632 fractures dont les extensions varient de 0.5 m à 100 m ainsi qu’une structure de zones matricielles complexe (calcite, remplissages, mylonite, diorite altérée et non altérée). Le modèle d’évaluation de performances prend en compte des conditions d’écoulement permanent pour un transport transitoire de radionucléides relâchés à l’échelle temporelle pertinente pour les analyses de sûreté. Une approche originale de simulation a été développée qui inclut, outre un écoulement Eulérien, un transport Eulérien dans les plans de fractures par schéma aux Eléments Finis Mixtes Hybrides auquel on a adjoint la prise en compte d’une diffusion matricielle hétérogène orthogonale par un terme source semi analytique. Le flux total de radionucléides a été simulé pour un cocktail de traceurs non sorbants à fortement sorbants. Une démarche de simplification des caractéristiques géométriques du système a été mise en œuvre et il a été démontré que le système pouvait être réduit à un chemin principal de 12 fractures. Une telle simplification est en premier lieu due à la faible connectivité du réseau. Il a été démontré que la diffusion matricielle et les phénomènes de sorption ont une influence dominante sur les propriétés de rétention du bloc fracturé étudié.
Resumen
El modelado del transporte de radionucleidos en medios fracturados es una tarea primordial para la evaluación de seguridad de un repositorio profundo de residuos nucleares. Un modelo de evaluación de rendimiento ha sido desarrollado a partir de caracterización de un sitio con el objetivo de mejorar la confianza para cuantificar el transporte de radionucleidos en una escala temporal segura de 106 años. El estudio fue realizado en un bloque fracturado semi sintético de 200 × 200 × 200 m, lo que proveyó un sistema realista derivado de datos del Laboratorio Äspö Hard Rock (Suecia). El bloque incluye 5632 fracturas que van desde 0.5 a 100 m de longitud y una estructura matricial heterogénea (fractura revestida, surco, milonita, diorita alterada y no alterada). El modelo de evaluación de rendimiento integra condiciones de flujo permanente con el transporte de radionucleides liberados durante la escala temporal de seguridad. Se desarrolló un método de simulación original que involucra el flujo Euleriano y el transporte en el interior de los planos fracturados con un esquema de elementos finitos hibridos mixtos y un término fuente semianalítico para determinar la difusión en la matriz heterogénea. Se computó el flujo de masa total de los radionucleidos (conservativos a fuertemente sorbing). Se demostró un método para simplificar el sistema que condujo a una trayectoria principal de 12 fracturas. Esto es debido principalmente a la baja conectividad de la red de fracturas. La difusión y sorción en la matriz ha demostrado tener efectos importantes sobre propiedades de retención del bloque para las condiciones de evaluación del rendimiento.
摘要
模拟放射性核素在裂隙介质中的运移是深部核废物处置安全评价中的首要任务。从场地描述数据得到了一个性能评价 (PA) 模型, 以提高量化吸附性放射性核素运移在百万年安全尺度上的置信度。研究对象为一个200 × 200 × 200 m的半合成裂隙块体, 为据Äspö硬岩实验室数据建造的实体系统。块体含有5632条长度为0.5到100 m的裂隙, 并具有非均质基质结构 (裂隙表面结垢、断层泥、糜棱岩、蚀变和未蚀变闪长岩)。PA模型集成了安全时间尺度上的稳定流条件和释出核素的运移。通过杂交有限元格式和半解析源项得到了包括欧拉流和裂隙面内运移的原创模拟方法, 以描述非均质基质扩散。计算了放射性核素 (保守至强吸附)的总质量通量。展示了一种简化系统的方法, 生成12条主要裂隙路径。这主要是由于裂隙网络的连通性差。PA条件下, 基质扩散和吸附对块体阻滞性质具有主要影响。
Resumo
A modelação de transporte de radionuclídeos em meios fracturados é uma tarefa essencial para avaliar a segurança de um depósito de resíduos nucleares em profundidade. Um modelo de avaliação de desempenho (performance assessment: PA) foi desenvolvido a partir de dados da caracterização in situ com o objectivo de melhorar os níveis de confiança na quantificação do transporte de radionuclídeos susceptíveis de sorpção à escala do tempo de segurança de 106 anos. O estudo foi desenvolvido num bloco fracturado semi-sintético de dimensões 200 × 200 × 200 m obtendo-se um sistema bastante aproximado da realidade, conseguido a partir da base de dados do Laboratório Äspö Hard Rock (Suécia). O bloco possui 5632 fracturas cujo comprimento varia entre 0.5 e 100 m e uma matriz de estrutura heterogénea (fracturas com revestimento, preenchimento, milonito, diorito alterado e não alterado). O modelo PA integra condições de fluxo em regime permanente e um processo de transporte de radionuclídeos durante a escala de tempo de segurança. Foi desenvolvido um método de simulação original que considera o fluxo e o transporte euleriano através de planos de fractura utilizando um esquema de modelação em elementos finitos do tipo híbrido misto, com um termo de fonte semi-analítico para tomar em conta a difusão matricial heterogénea. Foi calculado o fluxo mássico total dos radionuclídeos (de conservativo a fortemente afectado por sorpção). Foi desenvolvido um método com o objectivo de simplificar o sistema que conduziu a uma rede de caminhos principais constituída por 12 fracturas. Este aspecto deve-se principalmente à baixa conectividade da rede de fracturas. A difusão e a sorpção na matriz rochosa mostraram ter um enorme impacto sobre as propriedades de retenção do bloco para as condições definidas pelo modelo PA.













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References
Barten W (1996) Linear response concept combining advection and limited rock matrix diffusion in a fracture network transport model. Water Resour Res 32(11):3285–3296
Bear J, Tsang CF, De Marsily G (ed) (1993) Flow and contaminant transport in fractured rock. Academic, San Diego, CA
Berkowitz B (1994) Modeling flow and contaminant transport in fractured media. Advances in Porous Media, vol 2. Elsevier, Amsterdam
Bernard-Michel G, Le Potier C, Beccantini A, Gounand S, Chraibi M (2004) The Andra Couplex 1 test case: comparisons between finite-element, mixed hybrid finite element and finite volume element discretizations. Comput Geosci 8:187–201
Bibby R (1981) Mass transport of solutes in dual porosity media. Water Resour Res 17(4):1075–1081
Bogdanov II, Mourzenko VV, Thovert JF, Adler P (2007) Effective permeability of fractured porous media with power-law distribution of fracture sizes. Phys Rev E 76(3), 036309
Carrera J, Sánchez-Vila X, Benet I, Medina A, Galarza G, Guimerà J (1998) On matrix diffusion: formulations, solution methods and qualitative effects. Hydrogeol J 6(1):178–190
Carslaw HS, Jaeger JC (1959) Conduction of heat in solids. Oxford University Press, Oxford
Cast3M (2003) Web site for computer code Cast3M. Documentation available by www-cast3m.cea.fr/cast3m. Cited December 2006
Chapman N, McCombie C (2003) Principles and standards for the disposal of long lived radioactive wastes. Waste Management Series. Elsevier, Amsterdam
Cvetkovic V, Painter S, Outters N, Selroos JO (2004) Stochastic simulation of radionuclide migration in discretely fractured rock near the Aspo Hard Rock Laboratory. Water Resour Res 40(2), W02404
Dabbene F, Paillere H, Magnaud JP (1998) Mixed hybrid finite elements for transport of pollutants by undergound water. Proc. 10th Conference on Finite Elements in Fluids, Tucson, AZ, January 1998
de Dreuzy J-R, Darcel C, Davy P, Bour O (2004) Influence of spatial correlation of fracture centers on the permeability of two-dimensional fracture networks following a power law length distribution. Water Resour Res 40, W01502. doi:10.1029/2003WR002260
Dershowitz W, Winberg A, Hermanson J, Byegard J, Tullborg E-L, Andersson P, Mazurek M (2003) Äspö Task Force on modelling of groundwater flow and transport of solutes, Task6C: a semi-synthetic model of block scale conductive structures at the Äspö HRL. SKB International Progress Report IPR-03-13, SKB, Stockholm
GEOTRAP (2002) Radionuclide retention in geologic media. Workshop proceedings, Oskarshamn, Sweden, May 2001, OECD/NEA, Issy-les-Moulineaux, France
Grenier C (2004) Modeling transfers in a single fracture system: from site characterization to performance assessment models. Contribution to Task 6A and 6B from Äspö modelling task force exercise, SKB International Progress Report IPR-04-37, SKB, Stockholm
Grenier C, Benet L-V (2002) Groundwater flow and solute transport modelling with support of chemistry data, Task 5, Äspö Task force on groundwater flow and transport of solutes, SKB International Progress Report IPR-02-39, SKB, Stockholm
Grenier C, Bernard-Michel G (2006) Modelling of Task 6D, 6E, 6F and 6F2, using Cast 3M code, SKB International Progress Report IPR-06-18, SKB, Stockholm
Grenier C, Mouche E (2000) Dual porosity approaches for fractured media: from single fracture scale to block scale. Proc. of IV Geotrap Meeting, Albuquerque, NM, OCDE/NEA, Issy-les-Moulineaux, France
Grenier C, Fourno A, Mouche E, Delay F, Benabderrahmane H (2005) Assessment of retention processes for transport in a fractured system at Äspö (Sweden) Granitic Site: from short-time experiments to long-time predictive models. In: Faybishenko B, Witherspoon PA, Gale J (eds) Dynamics of fluids and transport in fractured rock. Geophysical monographs 162, American Geophysical Union, Washington, DC, pp 117–128
Gustafson G, Gylling B, Selroos J-O (2008) The Äspö Task Force on groundwater flow and transport of solutes: bridging the gap between site characterization and performance assessment for radioactive waste disposal in fractured rocks. Hydrogeol J. doi:10.1007/s10040-008-0419-6
Hodgkinson D, Benabderrahmane H, Elert M, Hautojärvi A, Selroos J-O, Tanaka Y, Uchida M (2008) An overview of Task 6 of the Äspö Task Force: modelling groundwater and solute transport. Improved understanding of radionuclide transport in fractured rock. Hydrogeol J. doi:10.1007/s10040-008-0419-6
Hughes TJR, Mallet M, Mizukami A (1986) A new finite element formulation for CFD. II. Beyond SUPG. Comput Methods Appl Mech Eng 30:341–355
Le Potier C (2005) Schémas volumes finis pour des opérateurs de diffusion fortement anisotropes sur des maillages de triangles non structurés [Finite volume schemes for highly anisotropic diffusion operators on non-structured triangular meshes]. C R Acad Sci 341(12):787–792
Long JCS, Ewing RC (2004) Yucca Mountain: earth-science issues at a geologic repository for high-level nuclear waste. Annu Rev Earth Planet Sci 32:363–401
Mazurek M, Jakob A, Bossart P (2003) Solute transport in crystalline rocks at Äspö, I: geological basis and model calibration. J Contam Hydrol 61(1–4):157–174
McKenna SA, Selroos JO (2004) Constraining performance assessment models with tracer test results: a comparison between two conceptual models. Hydrogeol J 12(3):243–256
Moreno L, Crawford J (2008) Can we use tracer tests to obtain data for performance assessment of repositories for nuclear waste? Hydrogeol J. doi:10.1007/s10040-008-0419-6
Moreno L, Crawford J, Neretnieks I (2006) Modelling radionuclide transport for time varying flow in a channel network. J Contam Hydrol 86(3–4):215–238
Mosé R, Siegel P, Ackerer P, Chavent G (1994) Application of the mixed hybrid finite element approximation in a groundwater flow model: luxury or necessity? Water Resour Res 30(11):3001–3012
Neretnieks I (1980) Diffusion in the rock matrix: an important factor in radionuclide retardation? J Geophys Res 85(B8):4379–4397
Oden M, Niemi A, Tsang CF, Ohman J (2008) Regional channelized transport in fractured media with matrix diffusion and linear sorption. Water Resour Res 44(2), W02421
Poteri A (2008) Retention properties of flow paths in fractured rock. Hydrogeol J. doi:10.1007/s10040-008-0419-6
Rubin G, Jansen D, Forkel C, Köngeter J (1999) Simulation of contaminant transport in fractured permeable formations by multiporosity modeling. J Hydrol 223:107–130
Selroos JO, Walker DD, Strom A, Gylling B, Follin S (2002) Comparison of alternative modelling approaches for groundwater flow in fractured rock. J Hydrol 257(1–4):174–188
Uchida M, Dershowitz W, Lee G, Shuttle D (2008) An empirical probabilistic approach for constraining the uncertainty of long-term solute transport predictions in fractured rock using in-situ tracer experiments. Hydrogeol J. doi:10.1007/s10040-008-0419-6
Winberg A, et al (2003) Final report of the True Block Scale Project: synthesis on flow, transport and retention in the block scale. SKB report TR-02-16, SKB, Stockholm
Wu YS, Liu HH, Bodvarsson GS (2004) A triple-continuum approach for modeling flow and transport processes in fractured rock. J Contam Hydrol 73:145–179
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Grenier, C., Bernard-Michel, G. & Benabderrahmane, H. Evaluation of retention properties of a semi-synthetic fractured block from modelling at performance assessment time scales (Äspö Hard Rock Laboratory, Sweden). Hydrogeol J 17, 1051–1066 (2009). https://doi.org/10.1007/s10040-008-0415-x
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DOI: https://doi.org/10.1007/s10040-008-0415-x

