Revisiting the Gage–Bidwell Law of Dilution in Relation to the Effectiveness of Swimming Pool Filtration and the Risk to Swimming Pool Users from <i>Cryptosporidium</i>

The transfer of water from a swimming pool to the treatment location is key in determining the effectiveness of water treatment by filtration in removing turbidity and managing the risk from particulate material, including microbial pathogens, such as <i>Cryptosporidium</i> spp. A key re...

Full description

Bibliographic Details
Main Authors: Lester P. Simmonds, Guy E. Simmonds, Martin Wood, Tim I. Marjoribanks, James E. Amburgey
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/13/17/2350
_version_ 1797520813909344256
author Lester P. Simmonds
Guy E. Simmonds
Martin Wood
Tim I. Marjoribanks
James E. Amburgey
author_facet Lester P. Simmonds
Guy E. Simmonds
Martin Wood
Tim I. Marjoribanks
James E. Amburgey
author_sort Lester P. Simmonds
collection DOAJ
description The transfer of water from a swimming pool to the treatment location is key in determining the effectiveness of water treatment by filtration in removing turbidity and managing the risk from particulate material, including microbial pathogens, such as <i>Cryptosporidium</i> spp. A key recommendation for pool operators when dealing with an accidental faecal release (the likely main source of high <i>Cryptosporidium</i> oocyst concentrations in pools) is that the pool water should be filtered for at least six turnover cycles prior to use. This paper briefly outlines the theoretical basis of what has become known as the Gage–Bidwell Law of Dilution, which provides a basis for this recommendation, and extends the idea to account for the impact of filter efficiency. The Gage–Bidwell Law reveals that for each pool turnover 63% of the water resident in the pool at the start of the turnover period will have been recirculated. Building on this, we demonstrate that both filter efficiency and water-turnover time are important in determining filtration effectiveness and can be combined through a single parameter we term ‘particle-turnover’. We consider the implications of the Gage–Bidwell Law (as referred to in the original 1926 paper) for the dynamics of the ‘dirt’ content of pool water, whether in terms of a specific particle size range (e.g., <i>Cryptosporidium</i> oocysts) or turbidity.
first_indexed 2024-03-10T08:02:00Z
format Article
id doaj.art-620ff4bdd3df4d3bb2fc1f5d67112f6d
institution Directory Open Access Journal
issn 2073-4441
language English
last_indexed 2024-03-10T08:02:00Z
publishDate 2021-08-01
publisher MDPI AG
record_format Article
series Water
spelling doaj.art-620ff4bdd3df4d3bb2fc1f5d67112f6d2023-11-22T11:24:29ZengMDPI AGWater2073-44412021-08-011317235010.3390/w13172350Revisiting the Gage–Bidwell Law of Dilution in Relation to the Effectiveness of Swimming Pool Filtration and the Risk to Swimming Pool Users from <i>Cryptosporidium</i>Lester P. Simmonds0Guy E. Simmonds1Martin Wood2Tim I. Marjoribanks3James E. Amburgey4Pool Sentry Ltd., Dale Cottage, Stanton Dale, Ashbourne DE6 2BX, UKPool Sentry Ltd., Dale Cottage, Stanton Dale, Ashbourne DE6 2BX, UKPool Sentry Ltd., Dale Cottage, Stanton Dale, Ashbourne DE6 2BX, UKSchool of Architecture, Building and Civil Engineering, Loughborough University, Ashby Road, Loughborough LE11 3TU, UKCivil and Environmental Engineering, University of North Carolina at Charlotte, 9201 University City Blvd., Charlotte, NC 28223-0001, USAThe transfer of water from a swimming pool to the treatment location is key in determining the effectiveness of water treatment by filtration in removing turbidity and managing the risk from particulate material, including microbial pathogens, such as <i>Cryptosporidium</i> spp. A key recommendation for pool operators when dealing with an accidental faecal release (the likely main source of high <i>Cryptosporidium</i> oocyst concentrations in pools) is that the pool water should be filtered for at least six turnover cycles prior to use. This paper briefly outlines the theoretical basis of what has become known as the Gage–Bidwell Law of Dilution, which provides a basis for this recommendation, and extends the idea to account for the impact of filter efficiency. The Gage–Bidwell Law reveals that for each pool turnover 63% of the water resident in the pool at the start of the turnover period will have been recirculated. Building on this, we demonstrate that both filter efficiency and water-turnover time are important in determining filtration effectiveness and can be combined through a single parameter we term ‘particle-turnover’. We consider the implications of the Gage–Bidwell Law (as referred to in the original 1926 paper) for the dynamics of the ‘dirt’ content of pool water, whether in terms of a specific particle size range (e.g., <i>Cryptosporidium</i> oocysts) or turbidity.https://www.mdpi.com/2073-4441/13/17/2350<i>Cryptosporidium</i> oocystfiltrationGage–Bidwell Lawparticle-turnoverpoolsturbidity
spellingShingle Lester P. Simmonds
Guy E. Simmonds
Martin Wood
Tim I. Marjoribanks
James E. Amburgey
Revisiting the Gage–Bidwell Law of Dilution in Relation to the Effectiveness of Swimming Pool Filtration and the Risk to Swimming Pool Users from <i>Cryptosporidium</i>
Water
<i>Cryptosporidium</i> oocyst
filtration
Gage–Bidwell Law
particle-turnover
pools
turbidity
title Revisiting the Gage–Bidwell Law of Dilution in Relation to the Effectiveness of Swimming Pool Filtration and the Risk to Swimming Pool Users from <i>Cryptosporidium</i>
title_full Revisiting the Gage–Bidwell Law of Dilution in Relation to the Effectiveness of Swimming Pool Filtration and the Risk to Swimming Pool Users from <i>Cryptosporidium</i>
title_fullStr Revisiting the Gage–Bidwell Law of Dilution in Relation to the Effectiveness of Swimming Pool Filtration and the Risk to Swimming Pool Users from <i>Cryptosporidium</i>
title_full_unstemmed Revisiting the Gage–Bidwell Law of Dilution in Relation to the Effectiveness of Swimming Pool Filtration and the Risk to Swimming Pool Users from <i>Cryptosporidium</i>
title_short Revisiting the Gage–Bidwell Law of Dilution in Relation to the Effectiveness of Swimming Pool Filtration and the Risk to Swimming Pool Users from <i>Cryptosporidium</i>
title_sort revisiting the gage bidwell law of dilution in relation to the effectiveness of swimming pool filtration and the risk to swimming pool users from i cryptosporidium i
topic <i>Cryptosporidium</i> oocyst
filtration
Gage–Bidwell Law
particle-turnover
pools
turbidity
url https://www.mdpi.com/2073-4441/13/17/2350
work_keys_str_mv AT lesterpsimmonds revisitingthegagebidwelllawofdilutioninrelationtotheeffectivenessofswimmingpoolfiltrationandtherisktoswimmingpoolusersfromicryptosporidiumi
AT guyesimmonds revisitingthegagebidwelllawofdilutioninrelationtotheeffectivenessofswimmingpoolfiltrationandtherisktoswimmingpoolusersfromicryptosporidiumi
AT martinwood revisitingthegagebidwelllawofdilutioninrelationtotheeffectivenessofswimmingpoolfiltrationandtherisktoswimmingpoolusersfromicryptosporidiumi
AT timimarjoribanks revisitingthegagebidwelllawofdilutioninrelationtotheeffectivenessofswimmingpoolfiltrationandtherisktoswimmingpoolusersfromicryptosporidiumi
AT jameseamburgey revisitingthegagebidwelllawofdilutioninrelationtotheeffectivenessofswimmingpoolfiltrationandtherisktoswimmingpoolusersfromicryptosporidiumi