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Analytical modelling of bacterial migration and accumulation with rate-limited sorption in discrete fractures

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dc.contributor.author Yazicioglu, Meliha Beyza. en_US
dc.date.accessioned 2009-07-09T17:31:07Z
dc.date.available 2009-07-09T17:31:07Z
dc.date.issued 2002-07-09T17:31:07Z
dc.identifier.uri http://hdl.handle.net/10464/1725
dc.description.abstract An analytical model for bacterial accumulation in a discrete fractllre has been developed. The transport and accumlllation processes incorporate into the model include advection, dispersion, rate-limited adsorption, rate-limited desorption, irreversible adsorption, attachment, detachment, growth and first order decay botl1 in sorbed and aqueous phases. An analytical solution in Laplace space is derived and nlln1erically inverted. The model is implemented in the code BIOFRAC vvhich is written in Fortran 99. The model is derived for two phases, Phase I, where adsorption-desorption are dominant, and Phase II, where attachment-detachment are dominant. Phase I ends yvhen enollgh bacteria to fully cover the substratllm have accllillulated. The model for Phase I vvas verified by comparing to the Ogata-Banks solution and the model for Phase II was verified by comparing to a nonHomogenous version of the Ogata-Banks solution. After verification, a sensitiv"ity analysis on the inpllt parameters was performed. The sensitivity analysis was condllcted by varying one inpllt parameter vvhile all others were fixed and observing the impact on the shape of the clirve describing bacterial concentration verSllS time. Increasing fracture apertllre allovvs more transport and thus more accllffilliation, "Vvhich diminishes the dllration of Phase I. The larger the bacteria size, the faster the sllbstratum will be covered. Increasing adsorption rate, was observed to increase the dllration of Phase I. Contrary to the aSSllmption ofllniform biofilm thickness, the accllffilliation starts frOll1 the inlet, and the bacterial concentration in aqlleous phase moving towards the olitiet declines, sloyving the accumulation at the outlet. Increasing the desorption rate, redllces the dliration of Phase I, speeding IIp the accllmlilation. It was also observed that Phase II is of longer duration than Phase I. Increasing the attachment rate lengthens the accliffililation period. High rates of detachment speeds up the transport. The grovvth and decay rates have no significant effect on transport, althollgh increases the concentrations in both aqueous and sorbed phases are observed. Irreversible adsorption can stop accllillulation completely if the vallIes are high.
dc.language.iso eng en_US
dc.publisher Brock University en_US
dc.subject Biological transport--Mathematical models. en_US
dc.subject Bacteria--Adhesion--Mathematical models. en_US
dc.subject Biofilms. en_US
dc.subject Bacteria--Ecology. en_US
dc.subject Groundwater--Microbiology. en_US
dc.title Analytical modelling of bacterial migration and accumulation with rate-limited sorption in discrete fractures en_US
dc.type Electronic Thesis or Dissertation en_US
dc.degree.name M.Sc. Earth Sciences en_US
dc.degree.level Masters en_US
dc.contributor.department Department of Earth Sciences en_US
dc.degree.discipline Faculty of Mathematics and Science en_US


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