Hybrid analytical and finite element numerical modeling of mass and heat transport in fractured rocks with matrix diffusion |
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Authors: | Christopher I McDermott Robert Walsh Ralph Mettier Georg Kosakowski Olaf Kolditz |
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Institution: | (1) Edinburgh Collaborative of Subsurface Science and Engineering (ECOSSE), School of Geoscience, University of Edinburgh, West Mains Road, Edinburgh, EH9 3JW, Scotland;(2) INTERA Engineering, Ltd., 1 Raymond Street, Ottawa, ON, K1R 1A2, Canada;(3) Institute of Geology, University of Bern, Berne, Switzerland;(4) Paul Scherrer Institut, Villigen PSI, Villigen, Switzerland;(5) Helmholtz Center for Environmental Research, Leipzig, Germany |
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Abstract: | Quantification of mass and heat transport in fractured porous rocks is important to areas such as contaminant transport, storage
and release in fractured rock aquifers, the migration and sorption of radioactive nuclides from waste depositories, and the
characterization of engineered heat exchangers in the context of enhanced geothermal systems. The large difference between
flow and transport characteristics in fractures and in the surrounding matrix rock means models of such systems are forced
to make a number of simplifications. Analytical approaches assume a homogeneous system, numerical approaches address the scale
at which a process is operating, but may lose individual important processes due to averaging considerations. Numerical stability
criteria limit the contrasts possible in defining material properties. Here, a hybrid analytical–numerical method for transport
modeling in fractured media is presented. This method combines a numerical model for flow and transport in a heterogeneous
fracture and an analytical solution for matrix diffusion. By linking the two types of model, the advantages of both methods
can be combined. The methodology as well as the mathematical background are developed, verified for simple geometries, and
applied to fractures representing experimental field conditions in the Grimsel rock laboratory. |
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Keywords: | Fractured rock Matrix diffusion Contaminant transport Heat transport Numerical modeling |
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