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DOI10.1016/j.advwatres.2020.103613
A three-scale index for flow in karst conduits in carbonate rocks
Murad M.A.; Lopes T.V.; Pereira P.A.; Bezerra F.H.R.; Rocha A.C.
发表日期2020
ISSN0309-1708
卷号141
英文摘要A three-scale model for flow in karst conduit networks in fractured carbonates is rigorously constructed based on a reiterated homogenization procedure. The first upscaling, performed from the high-fidelity flow model, is based on sequential partially and fully topological model reduction procedures considering two discrete networks of solution-enlarged fractures and conduits. The subsequent macroscopization procedure projects the reduced model into the cells of a coarse computational grid, where homogenized equivalent properties are numerically constructed. Such a two-level upscaling gives rise to a macroscopic flow model characterized by mass-transfer functions between the geological structures. A notable consequence of the approach proposed herein is the appearance of a new karst index concept, whose underlying physics relies on the generalization of the traditional Peaceman's theory of well index. Such a concept rules the mass exchange between conduits and matrix and can be extended to the general scenario of coupled flow in multi-branch karst conduit systems, displaying general non-circular cross sections and surrounding damage zones. The downscaling representation for the karst index can be further explored to improve accuracy of the exchange coefficient between the geological objects. Numerical experiments are carried-out showing the magnitude of the index for certain conduit and fracture arrangements, along with illustrating the impact upon flow patterns. © 2020 Elsevier Ltd
关键词CarbonatesComplex networksComputation theoryFractureGeologyMass transferTopologyComputational gridsExchange coefficientsFractured carbonatesGeological structuresNon-circular cross-sectionNumerical experimentsReiterated homogenizationTopological modelsLandformsaccuracy assessmentcarbonate rockflow fieldflow modelingflow patternhydrogeologykarst hydrologynumerical modeltheoretical study
语种英语
来源机构Advances in Water Resources
文献类型期刊论文
条目标识符http://gcip.llas.ac.cn/handle/2XKMVOVA/131797
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GB/T 7714
Murad M.A.,Lopes T.V.,Pereira P.A.,et al. A three-scale index for flow in karst conduits in carbonate rocks[J]. Advances in Water Resources,2020,141.
APA Murad M.A.,Lopes T.V.,Pereira P.A.,Bezerra F.H.R.,&Rocha A.C..(2020).A three-scale index for flow in karst conduits in carbonate rocks.,141.
MLA Murad M.A.,et al."A three-scale index for flow in karst conduits in carbonate rocks".141(2020).
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