A general real-time formulation for multi-rate mass transfer problems
13 páginas, 7 figuras, 1 tabla.
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Copernicus Publications
2009-08-05
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Online Access: | http://hdl.handle.net/10261/29008 |
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dig-idaea-es-10261-290082018-05-18T10:16:17Z A general real-time formulation for multi-rate mass transfer problems Silva Rojas, Orlando Carrera, Jesús Kumar, Shant Alcolea, A. Dentz, Marco 13 páginas, 7 figuras, 1 tabla. 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. Financial support received from CICYT and ENRESA of Spain, and EC projects FUNMIG (contract number 516514) and MUSTANG (contract number 227286). We also acknowledge the support received from the MICINN and the European Social Fund. Peer reviewed 2010-11-11T09:24:24Z 2010-11-11T09:24:24Z 2009-08-05 artículo http://purl.org/coar/resource_type/c_6501 Hydrology and Earth System Sciences 13(8): 1399-1411 (2009) 1027-5606 http://hdl.handle.net/10261/29008 1607-7938 en #PLACEHOLDER_PARENT_METADATA_VALUE# info:eu-repo/grantAgreement/EC/FP7/227286 Publisher’s version http://www.hydrol-earth-syst-sci.net/13/1399/2009/ open Copernicus Publications |
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13 páginas, 7 figuras, 1 tabla. |
format |
artículo |
author |
Silva Rojas, Orlando Carrera, Jesús Kumar, Shant Alcolea, A. Dentz, Marco |
spellingShingle |
Silva Rojas, Orlando Carrera, Jesús Kumar, Shant Alcolea, A. Dentz, Marco A general real-time formulation for multi-rate mass transfer problems |
author_facet |
Silva Rojas, Orlando Carrera, Jesús Kumar, Shant Alcolea, A. Dentz, Marco |
author_sort |
Silva Rojas, Orlando |
title |
A general real-time formulation for multi-rate mass transfer problems |
title_short |
A general real-time formulation for multi-rate mass transfer problems |
title_full |
A general real-time formulation for multi-rate mass transfer problems |
title_fullStr |
A general real-time formulation for multi-rate mass transfer problems |
title_full_unstemmed |
A general real-time formulation for multi-rate mass transfer problems |
title_sort |
general real-time formulation for multi-rate mass transfer problems |
publisher |
Copernicus Publications |
publishDate |
2009-08-05 |
url |
http://hdl.handle.net/10261/29008 |
work_keys_str_mv |
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