Grid refinement for modeling multiphase flow in discretely fractured porous media |
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| Institution: | 1. Department of Earth Sciences, University of Waterloo, Waterloo, Ont., Canada N2L 3G1;2. Department of Computer Science, University of Waterloo, Waterloo, Ont., Canada N2L 3G1;1. Transportation Environmental Research Team, Korea Railroad Research Institute (KRRI), #176 Cheoldo bangmulgwan-ro, Uiwang-si, Gyeonggi-do 16105, Republic of Korea;2. Railroad Safety Research Division, Korea Railroad Research Institute (KRRI), #176 Cheoldo bangmulgwan-ro, Uiwang-si, Gyeonggi-do 16105, Republic of Korea;1. Department of Applied Mathematics and Humanities,SVNIT, Surat and 395007, India;2. Department of Applied Mathematics and Humanities,SVNIT, Surat and 395007, India;1. Geosystems Engineering, Georgia Institute of Technology, USA;2. U.S. Geological Survey, Woods Hole, MA, USA;3. Integrated Statistics Inc., Contracted to U.S. Geological Survey, Woods Hole, MA, USA;4. National Institute of Advanced Industrial Science and Technology, Sapporo, Japan;5. U.S. Geological Survey, Denver, CO, USA;6. Oil and Natural Gas Corporation Ltd, India;1. Water Cycle Research Center, Korea Institute of Science and Technology (KIST), Seoul, 02792, South Korea;2. Geo-technical Team, ECO Solution Business Unit, SK Ecoplant, Seoul, 03143, South Korea;3. Department of Earth and Environmental Sciences, Korea University, Seoul, 136-701, South Korea;4. Division of Energy and Environmental Technology, KIST School, Korea University of Science and Technology (UST), Seoul, 02792, South Korea;5. Graduate School of Energy and Environment (KU-KIST GREEN SCHOOL), Korea University, Seoul, 02841, South Korea;1. Water Cycle Research Center, National Agenda Research Division, Korea Institute of Science and Technology (KIST), Seoul, 02792, South Korea;2. Department of Earth and Environmental Sciences, Korea University, Seoul, 136-701, South Korea;3. Division of Energy and Environmental Technology, KIST School, Korea University of Science and Technology (UST), Seoul, 02792, South Korea;4. Graduate School of Energy and Environment (KU-KIST GREEN SCHOOL), Korea University, Seoul, 02841, South Korea |
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| Abstract: | A study of the effects of grid discretization on the migration of DNAPL within a discrete-fracture network embedded in a porous rock matrix is presented. It is shown that an insufficiently fine discretization of the fracture elements can lead to an overprediction of the volume of DNAPL that continues to migrate vertically at the intersection of a vertical and horizontal fracture. Uniform discretization of elements at the scale of one centimetre (or less) accurately resolved the density and capillary pressure components of the head gradient in the DNAPL. An alternative, non-uniform method of discretization of elements within the discrete-fracture network is presented whereby only fracture elements immediately adjacent to fracture intersections are refined. To further limit the number of elements employed, the porous matrix elements adjacent to the fracture elements are not similarly refined. Results show this alternative method of discretization reduces the numerical error to an acceptable level, while allowing the simulation of field-scale DNAPL contamination problems. The results from two field-scale simulations of a DNAPL-contaminated carbonate bedrock site in Ontario, Canada are presented. These simulations compare different methods of grid discretization, and highlight the importance of grid refinement when simulating DNAPL migration problems in fractured porous media. |
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