A transport phase diagram for pore-level correlated porous media |
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| Affiliation: | 1. Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, USA;2. Department of Civil and Environmental Engineering, Sejong University, Seoul, Republic of Korea;3. Natural Resources Ecology Laboratory, Colorado State University, Fort Collins, USA;4. Institute of Environmental Engineering, ETH Zurich, Zurich, Switzerland;1. Department of Water Resources and Drinking Water, EAWAG, 8600 Dübendorf, Switzerland;2. Department of Civil, Environmental and Geomatic Engineering, ETH Zurich, 8093 Zürich, Switzerland;3. HydroGeoModels AG, Tösstalstrasse 23, 8400 Winterthur, Switzerland;4. Centre d''Hydrogéologie et de Géothermie (CHYN), University of Neuchâtel, 2000 Neuchâtel, Switzerland;1. School of Chemical Engineering and Analytical Science, Faculty of Engineering and Physical Science, The University of Manchester, Manchester M13 9PL, United Kingdom;2. Hydrology Group, Energy and Environment Division, Pacific Northwest National Laboratory, P.O. Box 999, MS K9-33, Richland, WA 99354, USA;1. Department of Mining and Minerals Engineering, Virginia Tech, Blacksburg, VA, USA;2. U. S. Department of Energy National Energy Technology Laboratory, Morgantown, WV, USA;3. Advanced Research Computing, Virginia Tech, Blacksburg, VA, USA;4. College of Environmental and Resources Sciences, Zhejiang University, Hangzhou, China;1. Department of Soil and Water Sciences, The Hebrew University of Jerusalem, Rehovot 7610001, Israel;2. School of Science and Technology, Nottingham Trent University, Nottingham NG11 8NS, United Kingdom;3. Physics Core Facilities, Weizmann Institute of Science, Rehovot 7610001, Israel |
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| Abstract: | Transport in porous media is often characterized by the advection–dispersion equation, with the dispersion coefficient as the most important parameter that links the hydrodynamics to the transport processes. Morphological properties of any porous medium, such as pore size distribution, network topology, and correlation length control transport. In this study we explore the impact of correlation length on transport regime using pore-network modelling. Earlier direct simulation studies of dispersion in carbonate and sandstone rocks showed larger dispersion compared to granular homogenous sandpacks. However, in these studies, isolation of the impact of correlation length on transport regime was not possible due to the fundamentally different pore morphologies and pore-size distributions. Against this limitation, we simulate advection–dispersion transport for a wide range of Péclet numbers in unstructured irregular networks with “different” correlation lengths but “identical” pore size distributions and pore morphologies. Our simulation results show an increase in the magnitudes of the estimated dispersion coefficients in correlated networks compared to uncorrelated ones in the advection-controlled regime. The range of the Péclet numbers which dictate mixed advection–diffusion regime considerably reduces in the correlated networks. The findings emphasize the critical role of correlation length which is depicted in a conceptual transport phase diagram and the importance of accounting for the micro-scale correlation lengths into predictive stochastic pore-scale modelling. |
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