Biofilm Growth in Porous Media Well Approximated by Fractal Multirate Mass Transfer With Advective‐Diffusive Solute Exchange

Abstract Biofilm growth in porous media changes not only the hydrodynamic properties of the medium (reduction in porosity and permeability, and increase in dispersivity), but also the transport itself (breakthrough curves display increasingly fast first arrivals and long tails). These features are w...

Full description

Saved in:
Bibliographic Details
Main Authors: Jingjing Wang, Jesús Carrera, Maarten W. Saaltink, Jordi Petchamé‐Guerrero, Graciela S. Herrera, Cristina Valhondo
Format: Article
Language:English
Published: Wiley 2024-11-01
Series:Water Resources Research
Subjects:
Online Access:https://doi.org/10.1029/2023WR036872
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849227311488958464
author Jingjing Wang
Jesús Carrera
Maarten W. Saaltink
Jordi Petchamé‐Guerrero
Graciela S. Herrera
Cristina Valhondo
author_facet Jingjing Wang
Jesús Carrera
Maarten W. Saaltink
Jordi Petchamé‐Guerrero
Graciela S. Herrera
Cristina Valhondo
author_sort Jingjing Wang
collection DOAJ
description Abstract Biofilm growth in porous media changes not only the hydrodynamic properties of the medium (reduction in porosity and permeability, and increase in dispersivity), but also the transport itself (breakthrough curves display increasingly fast first arrivals and long tails). These features are well reproduced by multicontinuum models (Multi‐Rate Mass Transfer, MRMT) which can be used to describe reactive transport in heterogeneous porous media and facilitate the simulation of reactions that are localized within biofilms. Here, we present a conceptual and numerical model of biochemical reactive transport with dynamic biofilm growth based on MRMT formulations. Mass exchange between mobile water and immobile biofilm aggregates is represented by a memory function, which simplifies definition of MRMT parameters. We successfully tested this model on two sets of laboratory data and found that (a) a basic model based on the growth of uniformly sized biofilm aggregates fails to reproduce laboratory tracer tests and rate of biofilm growth, while a fractal growth model, which we obtain by integrating the memory functions of biofilm aggregates with a power law distribution, does; (b) the biofilm memory function evolves as the biofilm grows; and (c) the early time portion of eluted volume tracer breakthrough curves are independent of flow rate, whereas the tail becomes heavier when the flow rate is decreased, which implies that both advection controlled and diffusion controlled mass exchange coexist in biofilms. These findings imply that porous media biofilms are essentially different from those developing in human tissues or open spaces.
format Article
id doaj-art-a3eb9d7707cb4eb285113a672fadc8a9
institution Kabale University
issn 0043-1397
1944-7973
language English
publishDate 2024-11-01
publisher Wiley
record_format Article
series Water Resources Research
spelling doaj-art-a3eb9d7707cb4eb285113a672fadc8a92025-08-23T13:05:51ZengWileyWater Resources Research0043-13971944-79732024-11-016011n/an/a10.1029/2023WR036872Biofilm Growth in Porous Media Well Approximated by Fractal Multirate Mass Transfer With Advective‐Diffusive Solute ExchangeJingjing Wang0Jesús Carrera1Maarten W. Saaltink2Jordi Petchamé‐Guerrero3Graciela S. Herrera4Cristina Valhondo5Department of Geotechnical Engineering College of Civil Engineering Tongji University Shanghai ChinaGeosciences Department, Severo Ochoa Excellence Center Institute of Environmental Assessment and Water Research (IDAEA) Consejo Superior de Investigaciones Científicas (CSIC) Barcelona SpainAssociated Unit: Hydrogeology Group (UPC‐CSIC) Barcelona SpainGeosciences Department, Severo Ochoa Excellence Center Institute of Environmental Assessment and Water Research (IDAEA) Consejo Superior de Investigaciones Científicas (CSIC) Barcelona SpainGeophysics Institute and Geology Institute Universidad Nacional Autónoma de México Circuito de la Investigación Científica s/n Mexico City MexicoGeosciences Department, Severo Ochoa Excellence Center Institute of Environmental Assessment and Water Research (IDAEA) Consejo Superior de Investigaciones Científicas (CSIC) Barcelona SpainAbstract Biofilm growth in porous media changes not only the hydrodynamic properties of the medium (reduction in porosity and permeability, and increase in dispersivity), but also the transport itself (breakthrough curves display increasingly fast first arrivals and long tails). These features are well reproduced by multicontinuum models (Multi‐Rate Mass Transfer, MRMT) which can be used to describe reactive transport in heterogeneous porous media and facilitate the simulation of reactions that are localized within biofilms. Here, we present a conceptual and numerical model of biochemical reactive transport with dynamic biofilm growth based on MRMT formulations. Mass exchange between mobile water and immobile biofilm aggregates is represented by a memory function, which simplifies definition of MRMT parameters. We successfully tested this model on two sets of laboratory data and found that (a) a basic model based on the growth of uniformly sized biofilm aggregates fails to reproduce laboratory tracer tests and rate of biofilm growth, while a fractal growth model, which we obtain by integrating the memory functions of biofilm aggregates with a power law distribution, does; (b) the biofilm memory function evolves as the biofilm grows; and (c) the early time portion of eluted volume tracer breakthrough curves are independent of flow rate, whereas the tail becomes heavier when the flow rate is decreased, which implies that both advection controlled and diffusion controlled mass exchange coexist in biofilms. These findings imply that porous media biofilms are essentially different from those developing in human tissues or open spaces.https://doi.org/10.1029/2023WR036872biofilm growthfractal growth modelbiomass dynamicsreactive transportmulti‐rate mass transferadvective‐diffusive solute exchange
spellingShingle Jingjing Wang
Jesús Carrera
Maarten W. Saaltink
Jordi Petchamé‐Guerrero
Graciela S. Herrera
Cristina Valhondo
Biofilm Growth in Porous Media Well Approximated by Fractal Multirate Mass Transfer With Advective‐Diffusive Solute Exchange
Water Resources Research
biofilm growth
fractal growth model
biomass dynamics
reactive transport
multi‐rate mass transfer
advective‐diffusive solute exchange
title Biofilm Growth in Porous Media Well Approximated by Fractal Multirate Mass Transfer With Advective‐Diffusive Solute Exchange
title_full Biofilm Growth in Porous Media Well Approximated by Fractal Multirate Mass Transfer With Advective‐Diffusive Solute Exchange
title_fullStr Biofilm Growth in Porous Media Well Approximated by Fractal Multirate Mass Transfer With Advective‐Diffusive Solute Exchange
title_full_unstemmed Biofilm Growth in Porous Media Well Approximated by Fractal Multirate Mass Transfer With Advective‐Diffusive Solute Exchange
title_short Biofilm Growth in Porous Media Well Approximated by Fractal Multirate Mass Transfer With Advective‐Diffusive Solute Exchange
title_sort biofilm growth in porous media well approximated by fractal multirate mass transfer with advective diffusive solute exchange
topic biofilm growth
fractal growth model
biomass dynamics
reactive transport
multi‐rate mass transfer
advective‐diffusive solute exchange
url https://doi.org/10.1029/2023WR036872
work_keys_str_mv AT jingjingwang biofilmgrowthinporousmediawellapproximatedbyfractalmultiratemasstransferwithadvectivediffusivesoluteexchange
AT jesuscarrera biofilmgrowthinporousmediawellapproximatedbyfractalmultiratemasstransferwithadvectivediffusivesoluteexchange
AT maartenwsaaltink biofilmgrowthinporousmediawellapproximatedbyfractalmultiratemasstransferwithadvectivediffusivesoluteexchange
AT jordipetchameguerrero biofilmgrowthinporousmediawellapproximatedbyfractalmultiratemasstransferwithadvectivediffusivesoluteexchange
AT gracielasherrera biofilmgrowthinporousmediawellapproximatedbyfractalmultiratemasstransferwithadvectivediffusivesoluteexchange
AT cristinavalhondo biofilmgrowthinporousmediawellapproximatedbyfractalmultiratemasstransferwithadvectivediffusivesoluteexchange