A general real-time formulation for multi-rate mass transfer problems
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 mul...
Main Authors: | , , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Copernicus Publications
2009-08-01
|
Series: | Hydrology and Earth System Sciences |
Online Access: | http://www.hydrol-earth-syst-sci.net/13/1399/2009/hess-13-1399-2009.pdf |
id |
doaj-aa56cefa02714a4cadf5f3ffe9587a8c |
---|---|
record_format |
Article |
spelling |
doaj-aa56cefa02714a4cadf5f3ffe9587a8c2020-11-24T22:22:13ZengCopernicus PublicationsHydrology and Earth System Sciences1027-56061607-79382009-08-0113813991411A general real-time formulation for multi-rate mass transfer problemsO. SilvaJ. CarreraM. DentzS. KumarA. AlcoleaM. WillmannMany 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. http://www.hydrol-earth-syst-sci.net/13/1399/2009/hess-13-1399-2009.pdf |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
O. Silva J. Carrera M. Dentz S. Kumar A. Alcolea M. Willmann |
spellingShingle |
O. Silva J. Carrera M. Dentz S. Kumar A. Alcolea M. Willmann A general real-time formulation for multi-rate mass transfer problems Hydrology and Earth System Sciences |
author_facet |
O. Silva J. Carrera M. Dentz S. Kumar A. Alcolea M. Willmann |
author_sort |
O. Silva |
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 |
series |
Hydrology and Earth System Sciences |
issn |
1027-5606 1607-7938 |
publishDate |
2009-08-01 |
description |
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. |
url |
http://www.hydrol-earth-syst-sci.net/13/1399/2009/hess-13-1399-2009.pdf |
work_keys_str_mv |
AT osilva ageneralrealtimeformulationformultiratemasstransferproblems AT jcarrera ageneralrealtimeformulationformultiratemasstransferproblems AT mdentz ageneralrealtimeformulationformultiratemasstransferproblems AT skumar ageneralrealtimeformulationformultiratemasstransferproblems AT aalcolea ageneralrealtimeformulationformultiratemasstransferproblems AT mwillmann ageneralrealtimeformulationformultiratemasstransferproblems AT osilva generalrealtimeformulationformultiratemasstransferproblems AT jcarrera generalrealtimeformulationformultiratemasstransferproblems AT mdentz generalrealtimeformulationformultiratemasstransferproblems AT skumar generalrealtimeformulationformultiratemasstransferproblems AT aalcolea generalrealtimeformulationformultiratemasstransferproblems AT mwillmann generalrealtimeformulationformultiratemasstransferproblems |
_version_ |
1725769439740166144 |