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Titel |
A general real-time formulation for multi-rate mass transfer problems |
VerfasserIn |
O. Silva, J. Carrera, M. Dentz, S. Kumar, A. Alcolea, M. Willmann |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1027-5606
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Digitales Dokument |
URL |
Erschienen |
In: Hydrology and Earth System Sciences ; 13, no. 8 ; Nr. 13, no. 8 (2009-08-05), S.1399-1411 |
Datensatznummer |
250011965
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Publikation (Nr.) |
copernicus.org/hess-13-1399-2009.pdf |
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Zusammenfassung |
Many flow and transport phenomena, ranging from delayed storage in pumping
tests to tailing in river or aquifer tracer breakthrough curves or slow
kinetics in reactive transport, display non-equilibrium (NE) behavior. These
phenomena are usually modeled by non-local in time formulations, such as
multi-porosity, multiple processes non equilibrium, continuous time random
walk, memory functions, integro-differential equations, fractional
derivatives or multi-rate mass transfer (MRMT), among others. We present a
MRMT formulation that can be used to represent all these models of non
equilibrium. The formulation can be extended to non-linear phenomena. Here,
we develop an algorithm for linear mass transfer, which is accurate,
computationally inexpensive and easy to implement in existing groundwater or
river flow and transport codes. We illustrate this approach by application
to published data involving NE groundwater flow and solute transport in
rivers and aquifers. |
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