A simple method for the determination of deposition coefficient using the analytical solution of advection-dispersion-deposition equation for step input

Nag Choul Choi, Jae Woo Choi, Kyu Sang Kwon, Sang Gil Lee, Bong Ju Kim, Soon-Jae Lee

Research output: Contribution to journalArticle

Abstract

A simple method is proposed for the determination of the deposition coefficient, which plays an important role in bacterial transport in a porous media. The method relies on the analytical solution of an advection-dispersion-deposition equation for the step input of a bacterial solution. The step input solution can be simplified when time goes to infinity, and thereby the deposition coefficient can be obtained as a function of the maximum concentration and peclet number. The deposition coefficient given by the simple method yields a similar expression to those of previous studies with a slight modification. Comparison of the simple method with other methods revealed that it offers an advantange of a wider application, even to a square pulse input as well as step input of a bacterial solution, and that calculation of bacterial mass fraction is not required. Theoretical validation revealed that the method can be valid for the conditions of pulse duration greater than 0.8 pore volume in the column study with Pe 300-400.

Original languageEnglish
Article number398
JournalWater (Switzerland)
Volume9
Issue number6
DOIs
Publication statusPublished - 2017 Jun 2

Fingerprint

Advection
advection
Peclet number
methodology
Porous materials
porous media
porous medium
method
duration

Keywords

  • Bacterial transport
  • Deposition coefficient
  • Peclet number
  • Square pulse

ASJC Scopus subject areas

  • Biochemistry
  • Geography, Planning and Development
  • Aquatic Science
  • Water Science and Technology

Cite this

A simple method for the determination of deposition coefficient using the analytical solution of advection-dispersion-deposition equation for step input. / Choi, Nag Choul; Choi, Jae Woo; Kwon, Kyu Sang; Lee, Sang Gil; Kim, Bong Ju; Lee, Soon-Jae.

In: Water (Switzerland), Vol. 9, No. 6, 398, 02.06.2017.

Research output: Contribution to journalArticle

@article{8dac56026fdd415db45bef084a824f38,
title = "A simple method for the determination of deposition coefficient using the analytical solution of advection-dispersion-deposition equation for step input",
abstract = "A simple method is proposed for the determination of the deposition coefficient, which plays an important role in bacterial transport in a porous media. The method relies on the analytical solution of an advection-dispersion-deposition equation for the step input of a bacterial solution. The step input solution can be simplified when time goes to infinity, and thereby the deposition coefficient can be obtained as a function of the maximum concentration and peclet number. The deposition coefficient given by the simple method yields a similar expression to those of previous studies with a slight modification. Comparison of the simple method with other methods revealed that it offers an advantange of a wider application, even to a square pulse input as well as step input of a bacterial solution, and that calculation of bacterial mass fraction is not required. Theoretical validation revealed that the method can be valid for the conditions of pulse duration greater than 0.8 pore volume in the column study with Pe 300-400.",
keywords = "Bacterial transport, Deposition coefficient, Peclet number, Square pulse",
author = "Choi, {Nag Choul} and Choi, {Jae Woo} and Kwon, {Kyu Sang} and Lee, {Sang Gil} and Kim, {Bong Ju} and Soon-Jae Lee",
year = "2017",
month = "6",
day = "2",
doi = "10.3390/w9060398",
language = "English",
volume = "9",
journal = "Water (Switzerland)",
issn = "2073-4441",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "6",

}

TY - JOUR

T1 - A simple method for the determination of deposition coefficient using the analytical solution of advection-dispersion-deposition equation for step input

AU - Choi, Nag Choul

AU - Choi, Jae Woo

AU - Kwon, Kyu Sang

AU - Lee, Sang Gil

AU - Kim, Bong Ju

AU - Lee, Soon-Jae

PY - 2017/6/2

Y1 - 2017/6/2

N2 - A simple method is proposed for the determination of the deposition coefficient, which plays an important role in bacterial transport in a porous media. The method relies on the analytical solution of an advection-dispersion-deposition equation for the step input of a bacterial solution. The step input solution can be simplified when time goes to infinity, and thereby the deposition coefficient can be obtained as a function of the maximum concentration and peclet number. The deposition coefficient given by the simple method yields a similar expression to those of previous studies with a slight modification. Comparison of the simple method with other methods revealed that it offers an advantange of a wider application, even to a square pulse input as well as step input of a bacterial solution, and that calculation of bacterial mass fraction is not required. Theoretical validation revealed that the method can be valid for the conditions of pulse duration greater than 0.8 pore volume in the column study with Pe 300-400.

AB - A simple method is proposed for the determination of the deposition coefficient, which plays an important role in bacterial transport in a porous media. The method relies on the analytical solution of an advection-dispersion-deposition equation for the step input of a bacterial solution. The step input solution can be simplified when time goes to infinity, and thereby the deposition coefficient can be obtained as a function of the maximum concentration and peclet number. The deposition coefficient given by the simple method yields a similar expression to those of previous studies with a slight modification. Comparison of the simple method with other methods revealed that it offers an advantange of a wider application, even to a square pulse input as well as step input of a bacterial solution, and that calculation of bacterial mass fraction is not required. Theoretical validation revealed that the method can be valid for the conditions of pulse duration greater than 0.8 pore volume in the column study with Pe 300-400.

KW - Bacterial transport

KW - Deposition coefficient

KW - Peclet number

KW - Square pulse

UR - http://www.scopus.com/inward/record.url?scp=85020674113&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85020674113&partnerID=8YFLogxK

U2 - 10.3390/w9060398

DO - 10.3390/w9060398

M3 - Article

AN - SCOPUS:85020674113

VL - 9

JO - Water (Switzerland)

JF - Water (Switzerland)

SN - 2073-4441

IS - 6

M1 - 398

ER -