Upscaling of Regional Scale Transport Under Transient Conditions: Evaluation of the Multirate Mass Transfer Model
Abstract
Abstract Regional scale transport models are needed to support the long‐term evaluation of groundwater quality and to develop management strategies aiming to prevent serious groundwater degradation. The purpose of this study is to evaluate the capacity of a previously developed upscaling approach to adequately describe the main solute transport processes, including the capture of late‐time tails under changing boundary conditions. Potential factors that impact the performance of upscaling methods, including temporal variations in mass transfer rates and mass distributions, were investigated. Advective‐dispersive contaminant transport in a 3‐D heterogeneous domain was simulated and used as a reference solution. The equivalent transport under homogeneous flow conditions was then evaluated by applying the multirate mass transfer (MRMT) model. The random walk particle tracking method was used to solve the solute transport for heterogeneous and homogeneous MRMT scenarios under steady state and transient conditions. The results indicate that the MRMT model can capture the tails satisfactorily for plumes transported with ambient steady state flow fields at all studied scales using the same parameters. However, when the boundary conditions change in either local, plume, or regional scale, the mass transfer model calibrated for transport under steady state conditions cannot accurately reproduce the tailings observed formore »
- Authors:
-
- Land, Air, and Water Resources University of California Davis CA USA, School of Environmental Science and Engineering Southern University of Science and Technology Shenzhen China
- Land, Air, and Water Resources University of California Davis CA USA
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1530626
- Resource Type:
- Publisher's Accepted Manuscript
- Journal Name:
- Water Resources Research
- Additional Journal Information:
- Journal Name: Water Resources Research Journal Volume: 55 Journal Issue: 7; Journal ID: ISSN 0043-1397
- Publisher:
- American Geophysical Union (AGU)
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Guo, Zhilin, Fogg, Graham E., and Henri, Christopher V. Upscaling of Regional Scale Transport Under Transient Conditions: Evaluation of the Multirate Mass Transfer Model. United States: N. p., 2019.
Web. doi:10.1029/2019WR024953.
Guo, Zhilin, Fogg, Graham E., & Henri, Christopher V. Upscaling of Regional Scale Transport Under Transient Conditions: Evaluation of the Multirate Mass Transfer Model. United States. https://doi.org/10.1029/2019WR024953
Guo, Zhilin, Fogg, Graham E., and Henri, Christopher V. Tue .
"Upscaling of Regional Scale Transport Under Transient Conditions: Evaluation of the Multirate Mass Transfer Model". United States. https://doi.org/10.1029/2019WR024953.
@article{osti_1530626,
title = {Upscaling of Regional Scale Transport Under Transient Conditions: Evaluation of the Multirate Mass Transfer Model},
author = {Guo, Zhilin and Fogg, Graham E. and Henri, Christopher V.},
abstractNote = {Abstract Regional scale transport models are needed to support the long‐term evaluation of groundwater quality and to develop management strategies aiming to prevent serious groundwater degradation. The purpose of this study is to evaluate the capacity of a previously developed upscaling approach to adequately describe the main solute transport processes, including the capture of late‐time tails under changing boundary conditions. Potential factors that impact the performance of upscaling methods, including temporal variations in mass transfer rates and mass distributions, were investigated. Advective‐dispersive contaminant transport in a 3‐D heterogeneous domain was simulated and used as a reference solution. The equivalent transport under homogeneous flow conditions was then evaluated by applying the multirate mass transfer (MRMT) model. The random walk particle tracking method was used to solve the solute transport for heterogeneous and homogeneous MRMT scenarios under steady state and transient conditions. The results indicate that the MRMT model can capture the tails satisfactorily for plumes transported with ambient steady state flow fields at all studied scales using the same parameters. However, when the boundary conditions change in either local, plume, or regional scale, the mass transfer model calibrated for transport under steady state conditions cannot accurately reproduce the tailings observed for the heterogeneous scenario. The deteriorating impacts of transient boundary conditions on the upscaled model are more significant for regions where the flow fields are dramatically affected, which highlights the poor applicability of the MRMT approach for complex field settings. This finding also has implications for the suitability of other potential upscaling approaches.},
doi = {10.1029/2019WR024953},
journal = {Water Resources Research},
number = 7,
volume = 55,
place = {United States},
year = {Tue Jul 02 00:00:00 EDT 2019},
month = {Tue Jul 02 00:00:00 EDT 2019}
}
https://doi.org/10.1029/2019WR024953
Web of Science
Works referenced in this record:
Persistence of a Groundwater Contaminant Plume after Hydraulic Source Containment at a Chlorinated-Solvent Contaminated Site
journal, September 2014
- Matthieu, D. E.; Brusseau, M. L.; Guo, Z.
- Groundwater Monitoring & Remediation, Vol. 34, Issue 4
Numerical simulations of solute transport in highly heterogeneous formations: A comparison of alternative numerical schemes
journal, February 2013
- Boso, Francesca; Bellin, Alberto; Dumbser, Michael
- Advances in Water Resources, Vol. 52
Representative hydraulic conductivities in saturated groundwater flow
journal, January 2006
- Sanchez-Vila, Xavier; Guadagnini, Alberto; Carrera, Jesus
- Reviews of Geophysics, Vol. 44, Issue 3
Assessing the impact of source-zone remediation efforts at the contaminant-plume scale through analysis of contaminant mass discharge
journal, November 2011
- Brusseau, M. L.; Hatton, J.; DiGuiseppi, W.
- Journal of Contaminant Hydrology, Vol. 126, Issue 3-4
Groundwater Flow and Sand Body Interconnectedness in a Thick, Multiple-Aquifer System
journal, May 1986
- Fogg, Graham E.
- Water Resources Research, Vol. 22, Issue 5
A general real-time formulation for multi-rate mass transfer problems
journal, January 2009
- Silva, O.; Carrera, J.; Kumar, S.
- Hydrology and Earth System Sciences Discussions, Vol. 6, Issue 2
Space-fractional advection-dispersion equations with variable parameters: Diverse formulas, numerical solutions, and application to the Macrodispersion Experiment site data: SPATIAL FADE WITH VARIABLE PARAMETERS
journal, May 2007
- Zhang, Yong; Benson, David A.; Meerschaert, Mark M.
- Water Resources Research, Vol. 43, Issue 5
Toward efficiency in heterogeneous multispecies reactive transport modeling: A particle-tracking solution for first-order network reactions
journal, September 2014
- Henri, Christopher V.; Fernàndez-Garcia, Daniel
- Water Resources Research, Vol. 50, Issue 9
Theory of anomalous chemical transport in random fracture networks
journal, May 1998
- Berkowitz, Brian; Scher, Harvey
- Physical Review E, Vol. 57, Issue 5
When good statistical models of aquifer heterogeneity go bad: A comparison of flow, dispersion, and mass transfer in connected and multivariate Gaussian hydraulic conductivity fields: FLOW, DISPERSION, AND MASS TRANSFER
journal, March 2003
- Zinn, Brendan; Harvey, Charles F.
- Water Resources Research, Vol. 39, Issue 3
Modeling groundwater contaminant transport in the presence of large heterogeneity: a case study comparing MT3D and RWhet
journal, February 2019
- Guo, Zhilin; Fogg, Graham E.; Brusseau, Mark L.
- Hydrogeology Journal, Vol. 27, Issue 4
Differences in the scale-dependence of dispersivity estimated from temporal and spatial moments in chemically and physically heterogeneous porous media
journal, July 2005
- Fernàndez-Garcia, Daniel; Illangasekare, Tissa H.; Rajaram, Harihar
- Advances in Water Resources, Vol. 28, Issue 7
Motivation of synthesis, with an example on groundwater quality sustainability: MOTIVATION OF SYNTHESIS
journal, March 2006
- Fogg, Graham E.; LaBolle, Eric M.
- Water Resources Research, Vol. 42, Issue 3
New form of dispersion tensor for axisymmetric porous media with implementation in particle tracking: NEW FORM OF DISPERSION TENSOR FOR AXISYMMETRIC MEDIA
journal, August 2002
- Lichtner, Peter C.; Kelkar, Sharad; Robinson, Bruce
- Water Resources Research, Vol. 38, Issue 8
Multiple-Rate Mass Transfer for Modeling Diffusion and Surface Reactions in Media with Pore-Scale Heterogeneity
journal, June 1995
- Haggerty, Roy; Gorelick, Steven M.
- Water Resources Research, Vol. 31, Issue 10
Upscaling transport with mass transfer models: Mean behavior and propagation of uncertainty: UPSCALING WITH MASS TRANSFER MODELS
journal, October 2009
- Fernàndez-Garcia, D.; Llerar-Meza, G.; Gómez-Hernández, J. Jaime
- Water Resources Research, Vol. 45, Issue 10
Release of contaminants from a heterogeneously fractured low permeability unit underlying a DNAPL source zone
journal, October 2013
- Dearden, R. A.; Noy, D. J.; Lelliott, M. R.
- Journal of Contaminant Hydrology, Vol. 153
Transport upscaling using multi-rate mass transfer in three-dimensional highly heterogeneous porous media
journal, April 2011
- Li, Liangping; Zhou, Haiyan; Gómez-Hernández, J. Jaime
- Advances in Water Resources, Vol. 34, Issue 4
Characterizing Three-Dimensional Hydraulic Conductivity Distributions Using Qualitative and Quantitative Geologic Borehole Data: Application to a Field Site
journal, July 1998
- Zhang, Zhihui; Brusseau, Mark L.
- Ground Water, Vol. 36, Issue 4
Modeling non-Fickian transport in geological formations as a continuous time random walk
journal, January 2006
- Berkowitz, Brian; Cortis, Andrea; Dentz, Marco
- Reviews of Geophysics, Vol. 44, Issue 2
Probability of Nitrate Contamination of Recently Recharged Groundwaters in the Conterminous United States
journal, May 2002
- Nolan, Bernard T.; Hitt, Kerie J.; Ruddy, Barbara C.
- Environmental Science & Technology, Vol. 36, Issue 10
The impact of well-field configuration and permeability heterogeneity on contaminant mass removal and plume persistence
journal, July 2017
- Guo, Zhilin; Brusseau, Mark L.
- Journal of Hazardous Materials, Vol. 333
Modeling mass transfer processes using random walk particle tracking: MODELING MASS TRANSFER USING PARTICLE TRACKING
journal, November 2006
- Salamon, P.; Fernàndez-Garcia, D.; Gómez-Hernández, J. J.
- Water Resources Research, Vol. 42, Issue 11
Estimation of Aquifer Parameters Under Transient and Steady State Conditions: 1. Maximum Likelihood Method Incorporating Prior Information
journal, February 1986
- Carrera, Jesus; Neuman, Shlomo P.
- Water Resources Research, Vol. 22, Issue 2
Computing “Anomalous” Contaminant Transport in Porous Media: The CTRW MATLAB Toolbox
journal, August 2005
- Cortis, Andrea; Berkowitz, Brian
- Ground Water, Vol. 43, Issue 6
Dispersion of groundwater age in an alluvial aquifer system: DISPERSION OF GROUNDWATER AGE
journal, October 2002
- Weissmann, Gary S.; Zhang, Y.; LaBolle, Eric M.
- Water Resources Research, Vol. 38, Issue 10
Debates-Stochastic subsurface hydrology from theory to practice: A geologic perspective: STOCHASTIC SUBSURFACE HYDROLOGY: A GEOLOGIC PERSPECTIVE
journal, December 2016
- Fogg, Graham E.; Zhang, Yong
- Water Resources Research, Vol. 52, Issue 12
The concept of block-effective macrodispersivity and a unified approach for grid-scale- and plume-scale-dependent transport
journal, September 1999
- Rubin, Y.; Sun, A.; Maxwell, R.
- Journal of Fluid Mechanics, Vol. 395
Application of a fractional advection-dispersion equation
journal, February 2000
- Benson, David A.; Wheatcraft, Stephen W.; Meerschaert, Mark M.
- Water Resources Research, Vol. 36, Issue 6
Calculating equivalent permeability: a review
journal, October 1997
- Renard, Ph.; de Marsily, G.
- Advances in Water Resources, Vol. 20, Issue 5-6
Scaling of flow and transport behavior in heterogeneous groundwater systems
journal, November 1998
- Scheibe, Timothy; Yabusaki, Steven
- Advances in Water Resources, Vol. 22, Issue 3
Nonpoint source solute transport normal to aquifer bedding in heterogeneous, Markov chain random fields: NONPOINT SOURCE TRANSPORT IN MARKOV
journal, June 2006
- Zhang, Hua; Harter, Thomas; Sivakumar, Bellie
- Water Resources Research, Vol. 42, Issue 6
The fractional-order governing equation of Lévy Motion
journal, February 2000
- Benson, David A.; Wheatcraft, Stephen W.; Meerschaert, Mark M.
- Water Resources Research, Vol. 36, Issue 6
Implementation schemes for avoiding artifact discontinuities in simulated annealing
journal, June 1997
- Carle, Steven F.
- Mathematical Geology, Vol. 29, Issue 2
On the Equivalence of Two Conceptual Models for Describing Ion Exchange During Transport Through an Aggregated Oxisol
journal, August 1984
- Nkedi-Kizza, P.; Biggar, J. W.; Selim, H. M.
- Water Resources Research, Vol. 20, Issue 8
Upscaling hydraulic conductivities in heterogeneous media: An overview
journal, August 1996
- Wen, Xian-Huan; Gómez-Hernández, J. Jaime
- Journal of Hydrology, Vol. 183, Issue 1-2
Transition probability-based indicator geostatistics
journal, May 1996
- Carle, Steven F.; Fogg, Graham E.
- Mathematical Geology, Vol. 28, Issue 4
Apparent directional mass-transfer capacity coefficients in three-dimensional anisotropic heterogeneous aquifers under radial convergent transport
journal, February 2014
- Pedretti, D.; Fernàndez-Garcia, D.; Sanchez-Vila, X.
- Water Resources Research, Vol. 50, Issue 2
A multi-isotope (B, Sr, O, H, and C) and age dating ( 3 H- 3 He and 14 C) study of groundwater from Salinas Valley, California: Hydrochemistry, dynamics, and contamination processes : MULTI-ISOTOPE AND AGE DATING STUDY OF GROUNDWATER
journal, January 2002
- Vengosh, Avner; Gill, Jim; Lee Davisson, M.
- Water Resources Research, Vol. 38, Issue 1
A continuous time random walk approach to transient flow in heterogeneous porous media: RAPID COMMUNICATION
journal, October 2006
- Cortis, Andrea; Knudby, Christen
- Water Resources Research, Vol. 42, Issue 10
Three-dimensional hydraulic conductivity upscaling in groundwater modeling
journal, October 2010
- Zhou, Haiyan; Li, Liangping; Jaime Gómez-Hernández, J.
- Computers & Geosciences, Vol. 36, Issue 10
Analysis of groundwater migration from artificial recharge in a large urban aquifer: A simulation perspective
journal, October 1999
- Tompson, Andrew F. B.; Carle, Steven F.; Rosenberg, Nina D.
- Water Resources Research, Vol. 35, Issue 10
Solute transport in heterogeneous formations of bimodal conductivity distribution: 1. Theory
journal, March 2001
- Dagan, G.; Lessoff, S. C.
- Water Resources Research, Vol. 37, Issue 3
Spatial connectivity in a highly heterogeneous aquifer: From cores to preferential flow paths: SPATIAL CONNECTIVITY IN A HETEROGENEOUS AQUIFER
journal, May 2011
- Bianchi, Marco; Zheng, Chunmiao; Wilson, Crystal
- Water Resources Research, Vol. 47, Issue 5
Performance assessment of solute transport upscaling methods in the context of nuclear waste disposal
journal, July 2005
- Cassiraga, E. F.; Fernàndez-Garcia, D.; Gómez-Hernández, J. J.
- International Journal of Rock Mechanics and Mining Sciences, Vol. 42, Issue 5-6
Efficient upscaling of hydraulic conductivity in heterogeneous alluvial aquifers
journal, June 2008
- Fleckenstein, Jan H.; Fogg, Graham E.
- Hydrogeology Journal, Vol. 16, Issue 7
The random walk's guide to anomalous diffusion: a fractional dynamics approach
journal, December 2000
- Metzler, Ralf; Klafter, Joseph
- Physics Reports, Vol. 339, Issue 1
Impact of upscaling on solute transport: Traveltimes, scale dependence of dispersivity, and propagation of uncertainty: IMPACT OF UPSCALING
journal, February 2007
- Fernàndez-Garcia, D.; Gómez-Hernández, J. J.
- Water Resources Research, Vol. 43, Issue 2
A random walk solution for modeling solute transport with network reactions and multi-rate mass transfer in heterogeneous systems: Impact of biofilms
journal, December 2015
- Henri, Christopher V.; Fernàndez-Garcia, Daniel
- Advances in Water Resources, Vol. 86
Relative contribution of DNAPL dissolution and matrix diffusion to the long-term persistence of chlorinated solvent source zones
journal, June 2012
- Seyedabbasi, Mir Ahmad; Newell, Charles J.; Adamson, David T.
- Journal of Contaminant Hydrology, Vol. 134-135
Transport upscaling in heterogeneous aquifers: What physical parameters control memory functions?: HETEROGENEITY EFFECTS ON MEMORY FUNCTION
journal, December 2008
- Willmann, M.; Carrera, J.; Sánchez-Vila, X.
- Water Resources Research, Vol. 44, Issue 12
Assessing contaminant-removal conditions and plume persistence through analysis of data from long-term pump-and-treat operations
journal, August 2014
- Brusseau, Mark L.; Guo, Zhilin
- Journal of Contaminant Hydrology, Vol. 164
An automatic locally-adaptive method to estimate heavily-tailed breakthrough curves from particle distributions
journal, September 2013
- Pedretti, Daniele; Fernàndez-Garcia, Daniel
- Advances in Water Resources, Vol. 59
Using geographic distribution of well-screen depths and hydrogeologic conditions to identify areas of concern for contaminant migration through inactive supply wells
journal, February 2018
- Gailey, Robert M.
- Hydrogeology Journal, Vol. 26, Issue 6
Hydrogeochemistry of alluvial groundwaters in an agricultural area: an implication for groundwater contamination susceptibility
journal, April 2004
- Chae, Gi-Tak; Kim, Kangjoo; Yun, Seong-Taek
- Chemosphere, Vol. 55, Issue 3
Can the Desert Bloom? Lessons Learned from the Israeli Case
journal, September 2004
- Nativ, Ronit
- Ground Water, Vol. 42, Issue 5
Nonideal transport of reactive solutes in heterogeneous porous media: 5. Simulating regional-scale behavior of a trichloroethene plume during pump-and-treat remediation
journal, October 1999
- Zhang, Zhihui; Brusseau, Mark L.
- Water Resources Research, Vol. 35, Issue 10
Source-zone characterization of a chlorinated-solvent contaminated Superfund site in Tucson, AZ
journal, February 2007
- Brusseau, M. L.; Nelson, N. T.; Zhang, Z.
- Journal of Contaminant Hydrology, Vol. 90, Issue 1-2
On Characterization of Anomalous Dispersion in Porous and Fractured Media
journal, June 1995
- Berkowitz, Brian; Scher, Harvey
- Water Resources Research, Vol. 31, Issue 6
On matrix diffusion: formulations, solution methods and qualitative effects
journal, June 1998
- Carrera, Jesús; Sánchez-Vila, Xavier; Benet, Inmaculada
- Hydrogeology Journal, Vol. 6, Issue 1
Slow advection and diffusion through low permeability inclusions
journal, December 2000
- Guswa, Andrew J.; Freyberg, David L.
- Journal of Contaminant Hydrology, Vol. 46, Issue 3-4
What controls the apparent timescale of solute mass transfer in aquifers and soils? A comparison of experimental results: CONTROLLING THE TIMESCALE OF SOLUTE MASS TRANSFER
journal, January 2004
- Haggerty, Roy; Harvey, Charles F.; Freiherr von Schwerin, Claudius
- Water Resources Research, Vol. 40, Issue 1
Rate-limited mass transfer or macrodispersion: Which dominates plume evolution at the macrodispersion experiment (MADE) site?
journal, March 2000
- Harvey, Charles; Gorelick, Steven M.
- Water Resources Research, Vol. 36, Issue 3