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Computing residence times for flow towards a pumping well: nomograph solution and validity of the small draw-down approximation

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Computing residence times for flow towards a pumping well: nomograph solution and validity of the small draw-down approximation

Content Provider	Springer Nature Link
Author	Simpson, Matthew J.
Copyright Year	2004
Abstract	A recent analytical model developed to compute the residence time of fluid flowing in an unconfined aquifer towards a single pumping well is examined. The solution is scaled and presented practically as a nomograph showing the relationship between the residence time, flow length and draw-down. In addition, a similar scaling process is undertaken for the same problem occurring in a confined aquifer so that the error introduced by approximating an unconfined system as a confined system can be understood over a wide range of conditions.On analyse un modèle analytique récent pour calculer le temps de résidence d’un fluide pendant son écoulement vers un puits de pompage dans une nappe libre. La solution a été mise-à-l’échelle et présenté d’une manière pratique, comme une nomogramme qui exprime la relation entre le temps de résidence, la distance de l› écoulement et le rabattement. De plus, on a utilisé un procédé similaire de mise-à-l’échelle pour le même problème dans une nappe captive affin que l’erreur introduite par l’approximation d’une nappe libre par une nappe captive peut être interprétée pour une grande classe de conditions.Se examina un modelo analítico, recientemente desarrollado, para calcular el tiempo de residencia de un fluido, el cual está fluyendo dentro de un acuífero libre hacia un pozo de bombeo único. La solución después de ser ajustada, se presenta prácticamente como un nomograma, mostrando la relación entre el tiempo de residencia, la longitud del flujo y el abatimiento. Adicionalmente, un proceso similar de ajuste fue realizado para el mismo problema, pero bajo condiciones de acuífero confinado, por tanto el error causado por hacer la aproximación de un sistema libre como si fuera un sistema confinado, puede llegar a ser entendido para un rango amplio de condiciones.
Starting Page	889
Ending Page	894
Page Count	6
File Format	PDF
ISSN	14312174
Journal	Hydrogeology Journal
Volume Number	13
Issue Number	5-6
e-ISSN	14350157
Language	English
Publisher	Springer-Verlag
Publisher Date	2004-09-09
Publisher Institution	International Association of Hydrogeologists
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Groundwater flow Well flow Analytical solution Unconfined flow Imaginary error function
Content Type	Text
Resource Type	Article
Subject	Earth and Planetary Sciences Water Science and Technology

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Computing residence times for flow towards a pumping well: nomograph solution and validity of the small draw-down approximation

Reply to comment on “Computing residence times for flow towards a pumping well: nomograph solution and validity of the small draw-down approximation”, Technical Note published in Hydrogeology Journal (2005) 13:889–894

Comment on “Computing residence times for flow towards a pumping well: nomograph solution and validity of the small draw-down approximation”: Technical Note published in Hydrogeology Journal (2005) 13:889–894, by Matthew J. Simpson

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Computing residence times for flow towards a pumping well: nomograph solution and validity of the small draw-down approximation

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Computing residence times for flow towards a pumping well: nomograph solution and validity of the small draw-down approximation

Reply to comment on “Computing residence times for flow towards a pumping well: nomograph solution and validity of the small draw-down approximation”, Technical Note published in Hydrogeology Journal (2005) 13:889–894

Comment on “Computing residence times for flow towards a pumping well: nomograph solution and validity of the small draw-down approximation”: Technical Note published in Hydrogeology Journal (2005) 13:889–894, by Matthew J. Simpson

Analytical model for computing residence times near a pumping well.

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Computing residence times for flow towards a pumping well: nomograph solution and validity of the small draw-down approximation