Analytic solutions for colloid transport with time- and depth-dependent retention in porous media
Elucidating and quantifying the transport of industrial nanoparticles (e.g. silver, carbon nanotubes, and graphene oxide) and other colloid-size particles such as viruses and bacteria is important to safeguard and manage the quality of the subsurface environment. Analytic solutions were derived for...
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| Published in | Journal of contaminant hydrology Vol. 195; pp. 40 - 51 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Netherlands
Elsevier B.V
01.12.2016
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0169-7722 1873-6009 |
| DOI | 10.1016/j.jconhyd.2016.10.006 |
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| Abstract | Elucidating and quantifying the transport of industrial nanoparticles (e.g. silver, carbon nanotubes, and graphene oxide) and other colloid-size particles such as viruses and bacteria is important to safeguard and manage the quality of the subsurface environment. Analytic solutions were derived for aqueous and solid phase colloid concentrations in a porous medium where colloids were subject to advective transport and reversible time and/or depth-dependent retention. Time-dependent blocking and ripening retention were described using a Langmuir-type equation with a rate coefficient that respectively decreased and increased linearly with the retained concentration. Depth-dependent retention was described using a rate coefficient that is a power-law function of distance. The stream tube modeling concept was employed to extend these analytic solutions to transport scenarios with two different partitioning processes (i.e., two types of retention sites). The sensitivity of concentrations was illustrated for the various time- and/or depth-dependent retention model parameters. The developed analytical models were subsequently used to describe breakthrough curves and, in some cases, retention profiles from several published column studies that employed nanoparticle or pathogenic microorganisms. Simulations results provided valuable insights on causes for many observed complexities associated with colloid transport and retention, including: increasing or decreasing effluent concentrations with continued colloid application, delayed breakthrough, low concentration tailing, and retention profiles that are hyper-exponential, exponential, linear, or non-monotonic with distance.
•Analytic solutions for aqueous and solid phase colloid concentrations•ADE with time- and depth-dependent colloid retention•Impact of blocking, ripening, and straining on colloid retention and transport•Laboratory results for colloid transport |
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| AbstractList | Elucidating and quantifying the transport of industrial nanoparticles (e.g. silver, carbon nanotubes, and graphene oxide) and other colloid-size particles such as viruses and bacteria is important to safeguard and manage the quality of the subsurface environment. Analytic solutions were derived for aqueous and solid phase colloid concentrations in a porous medium where colloids were subject to advective transport and reversible time and/or depth-dependent retention. Time-dependent blocking and ripening retention were described using a Langmuir-type equation with a rate coefficient that respectively decreased and increased linearly with the retained concentration. Depth-dependent retention was described using a rate coefficient that is a power-law function of distance. The stream tube modeling concept was employed to extend these analytic solutions to transport scenarios with two different partitioning processes (i.e., two types of retention sites). The sensitivity of concentrations was illustrated for the various time- and/or depth-dependent retention model parameters. The developed analytical models were subsequently used to describe breakthrough curves and, in some cases, retention profiles from several published column studies that employed nanoparticle or pathogenic microorganisms. Simulations results provided valuable insights on causes for many observed complexities associated with colloid transport and retention, including: increasing or decreasing effluent concentrations with continued colloid application, delayed breakthrough, low concentration tailing, and retention profiles that are hyper-exponential, exponential, linear, or non-monotonic with distance. Elucidating and quantifying the transport of industrial nanoparticles (e.g. silver, carbon nanotubes, and graphene oxide) and other colloid-size particles such as viruses and bacteria is important to safeguard and manage the quality of the subsurface environment. Analytic solutions were derived for aqueous and solid phase colloid concentrations in a porous medium where colloids were subject to advective transport and reversible time and/or depth-dependent retention. Time-dependent blocking and ripening retention were described using a Langmuir-type equation with a rate coefficient that respectively decreased and increased linearly with the retained concentration. Depth-dependent retention was described using a rate coefficient that is a power-law function of distance. The stream tube modeling concept was employed to extend these analytic solutions to transport scenarios with two different partitioning processes (i.e., two types of retention sites). The sensitivity of concentrations was illustrated for the various time- and/or depth-dependent retention model parameters. The developed analytical models were subsequently used to describe breakthrough curves and, in some cases, retention profiles from several published column studies that employed nanoparticle or pathogenic microorganisms. Simulations results provided valuable insights on causes for many observed complexities associated with colloid transport and retention, including: increasing or decreasing effluent concentrations with continued colloid application, delayed breakthrough, low concentration tailing, and retention profiles that are hyper-exponential, exponential, linear, or non-monotonic with distance. •Analytic solutions for aqueous and solid phase colloid concentrations•ADE with time- and depth-dependent colloid retention•Impact of blocking, ripening, and straining on colloid retention and transport•Laboratory results for colloid transport |
| Author | Bradford, Scott A. Leij, Feike J. Sciortino, Antonella |
| Author_xml | – sequence: 1 givenname: Feike J. surname: Leij fullname: Leij, Feike J. email: feike.leij@csulb.edu organization: Department of Civil Engineering and Construction Engineering Management, California State University, 1250 Bellflower Boulevard, Long Beach, CA 90840, United States – sequence: 2 givenname: Scott A. surname: Bradford fullname: Bradford, Scott A. email: Scott.Bradford@ars.usda.gov organization: US Salinity Laboratory USDA, ARS, 450 W. Big Springs Road, Riverside, CA 92507-4617, United States – sequence: 3 givenname: Antonella surname: Sciortino fullname: Sciortino, Antonella email: antonella.sciortino@csulb.edu organization: Department of Civil Engineering and Construction Engineering Management, California State University, 1250 Bellflower Boulevard, Long Beach, CA 90840, United States |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/27890296$$D View this record in MEDLINE/PubMed |
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| SubjectTerms | bacteria carbon nanotubes colloids Colloids - analysis Colloids - chemistry equations graphene oxide Groundwater - chemistry Hydrology Models, Theoretical nanoparticles Nanoparticles - analysis Nanoparticles - chemistry Particle Size Porosity porous media Solutions streams viruses Water Pollutants, Chemical - analysis Water Pollutants, Chemical - chemistry |
| Title | Analytic solutions for colloid transport with time- and depth-dependent retention in porous media |
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