Trajectory analysis of deep‐bed filtration with the sphere‐in‐cell porous media model

Rajagopalan, R.; Tien, Chi

doi:10.1002/aic.690220316

Cited by 742 publications

(706 citation statements)

References 18 publications

Supporting

Mentioning

687

Contrasting

Unclassified

Order By: Relevance

“…Also, the uncultured bacteria were stored in nutrient-depleted water prior to injection in order to lessen the formation of temporal gradients in dissolved organic carbon. Consequently, the effects of chemotaxis are assumed to be minor and, therefore are not included in equations (1) and (2).…”

Section: Governing Equationsmentioning

confidence: 99%

“…[1] equation for estimating single collector efficiency were compared to those using the Rajagopalan and Tien [2] model. Both appeared to work equally well at predicting mean bacteria breakthrough using a constant mean bacteria diameter for this set of field conditions, with the Rajagopalan and Tien model yielding approximately a 30% lower peak concentration and less tailing than the Tufenkji and Elimelech formulation.…”

Section: Introductionmentioning

confidence: 99%

“…We also utilize recent improvements in estimations of the collector efficiency parameter in colloid filtration by Tufenkji and Elimelech [1], as compared to the Rajagopalan and Tien [2] model that is still widely used. This paper evaluates how these improvements affect data interpretation and highlights areas where further work is needed.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Revisiting the Cape Cod Bacteria Injection Experiment Using a Stochastic Modeling Approach

Maxwell

Welty

Harvey

2007

Environ. Sci. Technol.

View full text Add to dashboard Cite

Bromide and resting-cell bacteria tracer tests carried out in a sand and gravel aquifer at the USGS Cape Cod site in 1987 were reinterpreted using a three-dimensional stochastic approach and Lagrangian particle tracking numerical methods. Bacteria transport was strongly coupled to colloid filtration through functional dependence of local-scale colloid transport parameters on hydraulic conductivity and seepage velocity in a stochastic advection-dispersion/attachment-detachment model. Information on geostatistical characterization of the hydraulic conductivity (K) field from a nearby plot was utilized as input that was unavailable when the original analysis was carried out. A finite difference model for groundwater flow and a particle-tracking model of conservative solute transport was calibrated to the bromide-tracer breakthrough data using the aforementioned geostatistical parameters. An optimization routine was utilized to adjust the mean and variance of the lnK field over 100 realizations such that a best fit of a simulated, average bromide breakthrough curve is achieved. Once the optimal bromide fit was accomplished (based on adjusting the lnK statistical parameters in unconditional simulations), a stochastic particle-tracking model for the bacteria was run without adjustments to the local-scale colloid transport parameters. Good predictions of the mean bacteria breakthrough data were achieved using several approaches for modeling components of the system. Simulations incorporating the recent Tufenkji and Elimelech

show abstract

Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Revisiting the Cape Cod Bacteria Injection Experiment Using a Stochastic Modeling Approach

Maxwell

Welty

Harvey

2007

Environ. Sci. Technol.

View full text Add to dashboard Cite

show abstract

“…Equilibrium sorption was used to characterize the weak attachment of viruses, which are probably deposited in shallow energy minima of the virus -solid surface interaction energy profile. The kinetic attachment rate coefficient was related to the colloid filtration parameters of collision efficiency and single collector efficiency (Yao et al, 1971;Rajagopalan and Tien, 1976). The kinetic release rate coefficient was usually much smaller than the attachment rate coefficient.…”

Section: Introductionmentioning

confidence: 99%

Virus transport in physically and geochemically heterogeneous subsurface porous media

Bhattacharjee

Ryan

Elimelech

2002

Journal of Contaminant Hydrology

View full text Add to dashboard Cite

“…In contrast, the single collector efficiency is strongly dependent on physical parameters of the system including surface area accessible for deposition, pore structure, flow velocity, particle density and particle size. Given T7s small size, g can be calculated using a modification of Rajagopalan and Tien's (1976) Penrod et al (1996):…”

Section: Numerical Interpretationmentioning

confidence: 99%

Bacteriophage transport through a fining-upwards sedimentary sequence: laboratory experiments and simulation

Flynn

Cornaton

Hunkeler

et al. 2004

Journal of Contaminant Hydrology

View full text Add to dashboard Cite

A column containing four concentric layers of progressively finer-grained glass beads (graded column) was used to study the transport of the bacteriophage T7 in water flowing parallel to layering through a fining-upwards (FU) sedimentary structure. By passing a pulse of T7, and a conservative solute tracer upwards through a column packed with a single bead size (uniform column), the capacity of each bead type to attenuate the bacteriophage was determined. Solute and bacteriophage responses were modelled using an analytical solution to the advection -dispersion equation, with first-order kinetic deposition simulating bacteriophage attenuation. Resulting deposition constants for different flow velocities indicated that filtration theory-determined values differed from experimentally determined values by less than 10%. In contrast, the responses of solute and bacteriophage tracers passing upwards through graded columns could not be reproduced with a single analytical solution. However, a flux-weighted summation of four one-dimensional advectivedispersive analytical terms approximated solute breakthrough curves. The prolonged tailing observed in the resulting curve resembled that typically generated from field-based tracer test data, reflecting the potential importance of textural heterogeneity in the transport of dissolved substances in groundwater. Moreover, bacteriophage deposition terms, determined from filtration theory, reproduced the T7 breakthrough curve once desorption and inactivation on grain surfaces were incorporated. To evaluate the effect of FU sequences on mass transport processes in more detail, bacteriophage passage through sequences resembling those sampled from a FU bed in a fluvioglacial gravel pit were carried out using an analogous approach to that employed in the laboratory. Both solute and bacteriophage breakthrough responses resembled those generated from field-based test data and in the graded column experiments. Comparisons with the results of * Corresponding author. Fax: +41-32-718-26-03.E-mail address: ray.flynn@unine.ch (R. Flynn).simulations using averaged hydraulic conductivities show that simulations employing averaged parameters overestimate bacteriophage travel times and underestimate masses recovered and peak concentrations.

show abstract

Trajectory analysis of deep‐bed filtration with the sphere‐in‐cell porous media model

Cited by 742 publications

References 18 publications

Revisiting the Cape Cod Bacteria Injection Experiment Using a Stochastic Modeling Approach

Revisiting the Cape Cod Bacteria Injection Experiment Using a Stochastic Modeling Approach

Virus transport in physically and geochemically heterogeneous subsurface porous media

Bacteriophage transport through a fining-upwards sedimentary sequence: laboratory experiments and simulation

Contact Info

Product

Resources

About