Case Studies
Sep 28, 2023

Manual Sensitivity Analysis to Enhance a Previously PEST-Calibrated Shallow Aquifer and Aquitard Breach Model

Publication: Journal of Hydrologic Engineering
Volume 28, Issue 12

Abstract

Numerical groundwater modelers often encounter challenges in computing and implementing regional unconfined aquifer models that match real-world water table undulations and local features. A commonly-practiced simplifying assumption in groundwater models states that incorporating extensive real-world detail does not correlate to better model results. This study discusses how this assumption may lead to unrepresentative models due to oversimplification. Sometimes, when determining the appropriate complexity of regional models, important elements of the conceptual model may be oversimplified, resulting in a nonrepresentative model or part of a model. This study tests the hypothesis that, by incorporating specific areas of greater hydrogeologic complexity into modeling a regional-sized unconfined aquifer, simulated heads will significantly better match observed conditions, especially in areas where unconfined groundwater discharges through aquitard breaches and where dry cells are a natural (realistic) condition of the system. Three surface processes (additional recharge, stream density, and evapotranspiration) were tested in multiple sets of impact models. Model outcomes were compared against observed conditions of the shallow unconfined aquifer beneath Memphis, TN, US, and against the parent fully calibrated groundwater model of the aquifer systems beneath Shelby County, TN. Results indicate that an increase in stream detail better mimics observed water table undulations. These undulations occur at the same scale as aquitard breaches and improve appropriate gradients and flow surrounding the breaches. Results further indicate that the addition of greater hydrogeologic complexity to the shallow unconfined aquifer improves models like that of Shelby County, TN, by better representing realistic gradients, conveying appropriate quantities of water through breaches, and offering an opportunity for improved contaminant transport modeling from the shallow unconfined aquifer to the deeper semiconfined Memphis aquifer via aquitard breaches.

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Data Availability Statement

Some or all data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request, including raster files for all reported model results; Excel files for dry cell counts; Excel files for model flow budgets and error reports; and Model.gpr files.

Acknowledgments

Great appreciation and gratitude go to Memphis Light Gas and Water for their interest in the world of groundwater and for funding these endeavors. Furthermore, we would like to extend our gratitude to the ASCE reviewers, and whose comments contributed significantly to the improvement of the article.
Author contributions: Drs. Waldron and Jazaei guided the study at several stages. Mr. Pierce developed all numerical models and conducted the analyses. All authors discussed and revised several drafts of this manuscript, approving this final version.

References

Anderson, M. P., W. W. Woessner, and R. J. Hunt. 2015. Applied groundwater modeling simulation of flow and advective transport. 2nd ed. Amsterdam, Netherlands: Elsevier.
Arthur, J. K., and R. E. Taylor. 1998. Ground-water flow analysis of the Mississippi Embayment aquifer system, South-Central United States. Washington, DC: USGS.
Barthel, R., and S. Banzhaf. 2016. “Groundwater and surface water interaction at the regional-scale—A review with focus on regional integrated models.” Water Resour. Manage. 30 (1): 1–32. https://doi.org/10.1007/s11269-015-1163-z.
Bear, J. 1988. Dynamics of fluids in porous media. New York: Elsevier.
Bedekar, V., R. Niswonger, K. Kipp, S. Panday, and M. Tonkin. 2012. “Approaches to the simulation of unconfined flow and perched groundwater flow in MODFLOW.” Groundwater 50 (2): 187–198. https://doi.org/10.1111/j.1745-6584.2011.00829.x.
Bouaamlat, I., A. Larabi, and M. Faouzi. 2016. “Hydrogeological investigation of an oasis-system aquifer in arid southeastern Morocco by development of a groundwater flow model.” Hydrogeol. J. 24 (6): 1479–1496. https://doi.org/10.1007/s10040-016-1409-8.
Brahana, J. V., and R. E. Broshears. 2001. Hydrogeology and ground-water flow in the Memphis and Fort Pillow aquifers in the Memphis area, Tennessee. Washington, DC: USGS.
Castro-Orgaz, O., and J. V. Giráldez. 2012. “Steady-state water table height estimations with an improved pseudo-two-dimensional Dupuit-Forchheimer type model.” J. Hydrol. 438 (May): 194–202. https://doi.org/10.1016/j.jhydrol.2012.03.023.
Cherry, J. A., B. L. Parker, K. R. Bradbury, T. T. Eaton, M. G. Gotkowitz, D. J. Hart, and M. A. Borchardt. 2004. Role of aquitards in the protection of aquifers from contamination: A “State of the science” report. Denver: AWWA Research Foundation.
Clark, B. R., and R. M. Hart. 2009. The mississippi embayment regional aquifer study (MERAS): Documentation of a groundwater-flow model constructed to assess water availability in the mississippi embayment. Scinetific Investigations Rep. No. 2009-5172. Washington, DC: USGS.
Clement, T. P. 2011. “Complexities in hindcasting models—When should we say enough is enough?” Groundwater 49 (5): 620–629. https://doi.org/https://doi.org/10.1111/j.1745-6584.2010.00765.x.
Doherty, J. 2001. “Improved calculations for dewatered cells in MODFLOW.” Groundwater 39 (6): 863–869. https://doi.org/10.1111/j.1745-6584.2001.tb02474.x.
Doherty, J. 2015. Calibration and uncertainty analysis for complex environmental models. Brisbane, Australia: Watermark Numerical Computing.
Gallo, H. G. 2015. Hydrologic and geochemical investigation of modern leakage near the McCord Well Field. Memphis, TN: Univ. of Memphis.
Gentry, R., L. McKay, N. Thonnard, J. Anderson, D. Larsen, J. K. Carmichael, and K. Solomon. 2006. Novel techniques for investigating recharge to the Memphis aquifer. Denver: American Water Works Association.
Harbaugh, A. W. 2005. MODFLOW-2005: The U.S. Geological Survey modular ground-water model—The ground-water flow process: Techniques and methods. Washington, DC: USGS. https://doi.org/10.3133/tm6A16.
Hill, M. 2006. “The practical use of simplicity in developing ground water models.” Groundwater 44 (6): 775–781. https://doi.org/10.1111/j.1745-6584.2006.00227.x.
Hunt, R., J. Doherty, and M. Tonkin. 2007. “Are models too simple? Arguments for increased parameterization.” Groundwater 45 (3): 254–262. https://doi.org/10.1111/j.1745-6584.2007.00316.x.
Jazaei, F., B. Waldron, S. Schoefernacker, and D. Larsen. 2019. “Application of numerical tools to investigate a leaky aquitard beneath urban well fields.” Water 11 (1): 5. https://doi.org/10.3390/w11010005.
Jazaei, F., B. A. Waldron, O. Schoefernacker, and D. Larsen. 2018. “Numerical tools for identifying confining unit breaches impacting semi-confined water-supply aquifers.” In Proc., AGU Fall Meeting Abstracts. Washington, DC: American Geophysical Union.
Jin, Y., E. Holzbecher, and M. Sauter. 2014. “A novel modeling approach using arbitrary Lagrangian–Eulerian (ALE) method for the flow simulation in unconfined aquifers.” Comput. Geosci. 62 (Jan): 88–94. https://doi.org/10.1016/j.cageo.2013.10.002.
Karan, S., M. Jacobsen, J. Kazmierczak, J. Reyna-Gutierrez, T. Breum, and P. Engesgaard. 2021. “Numerical representation of groundwater-surface water exchange and the effect on streamflow contribution estimates.” Water 13 (14): 1923. https://doi.org/10.3390/w13141923.
Keating, E., and G. Zyvoloski. 2009. “A stable and efficient numerical algorithm for unconfined aquifer analysis.” Groundwater 47 (4): 569–579. https://doi.org/10.1111/j.1745-6584.2009.00555.x.
Langevin, C. D., J. D. Hughes, E. R. Banta, A. M. Provost, R. G. Niswonger, and S. Panday. 2017. MODFLOW 6:modular hydrologic model. Washington, DC: USGS. https://doi.org/10.5066/F76Q1VQV.
Larsen, D., J. Bursi, B. Waldron, S. Schoefernaker, and J. Eason. 2020. “Recharge pathways and rates for a sand aquifer beneath a loess-mantled landscape in Western Tennessee, U.S.A.” J. Hydrol.: Reg. Stud. 28 (Jan): 100667. https://doi.org/10.1016/j.ejrh.2020.100667.
Larsen, D., J. Morat, B. Waldron, S. Ivey, and J. Anderson. 2013. “Stream loss contributions to a municipal water supply aquifer in Memphis, Tennessee.” Environ. Eng. Geosci. 19 (3): 265–287. https://doi.org/10.2113/gseegeosci.19.3.265.
McDonald, M. G., and A. W. Harbaugh. 1984. A modular three-dimensional finite-difference ground-water flow model. Washington, DC: USGS.
Mishra, P. K., and K. L. Kuhlman, eds. 2013. Advances in hydrogeology. 1st ed. New York: Springer. https://doi.org/10.1007/978-1-4614-6479-2.
Moench, A. F. 1995. “Combining the Neuman and Boulton models for flow to a well in an unconfined aquifer.” Groundwater 33 (3): 378–384. https://doi.org/https://doi.org/10.1111/j.1745-6584.1995.tb00293.x.
Munday, T. J., A. Viezzoli, E. Auken, A. Fitzpatrick, and K. Cahill. 2010. “Defining spatial patterns of inter-aquifer leakage through the application of a-priori constraints when inverting airborne EM data.” ASEG Extended Abstr. 2010 (1): 1. https://doi.org/10.1081/22020586.2010.12042052.
Narsimha, V. K. K. 2007. Altitudes of ground water levels for 2005 and historic water level change in surficial and Memphis aquifers, Shelby County, TN. Memphis, TN: Univ. of Memphis.
Niswonger, R. G., S. Panday, and M. Ibaraki. 2011. MODFLOW-NWT, a Newton formulation for MODFLOW-2005: US Geological Survey techniques and methods. Washington, DC: USGS.
Ogletree, B. T. 2016. Geostatistical analysis of the water table aquifer in Shelby County, Tennessee. Memphis, TN: Univ. of Memphis.
Painter, S., H. Başaǧaoǧlu, and A. Liu. 2008. “Robust representation of dry cells in single-layer MODFLOW models.” Groundwater 46 (6): 873–881. https://doi.org/10.1111/j.1745-6584.2008.00483.x.
Panday, S., C. D. Langevin, R. G. Niswonger, M. Ibaraki, and J. D. Hughes. 2017. MODFLOW-USG: An unstructured grid version of MODFLOW for simulating groundwater flow and tightly coupled processes using a control volume finite-difference formulation: US Geological Survey software release. Washington, DC: USGS. https://doi.org/10.5066/F7R20ZFJ.
Parks, W. S. 1990. Hydrogeology and preliminary assessment of the potential for contamination of the Memphis aquifer in the Memphis area, Tennessee. Memphis, TN: Univ. of Memphis. https://doi.org/10.3133/wri904092.
Paul, S. 2022. Vol. 9 of Groundwater well optimization to minimize contaminant movement from a surficial shallow aquifer to a lower water supply aquifer using stochastic simulation-optimization modeling techniques. Memphis, TN: Univ. of Memphis.
Paul, S., B. Waldron, F. Jazaei, D. Larsen, and S. Schoefernacker. 2022. “Groundwater well optimization to minimize contaminant movement from a surficial shallow aquifer to a lower water supply aquifer using stochastic simulation-optimization modeling techniques: Strategy formulation.” MethodsX 9 (Jun): 101765. https://doi.org/10.1016/j.mex.2022.101765.
Priestley, S. C., D. L. Wohling, M. N. Keppel, V. E. A. Post, A. J. Love, P. Shand, L. Tyroller, and R. Kipfer. 2017. “Détection des échanges inter-aquifères dans des zones avec peu de données, utilisant des traceurs hydrauliques et environnementaux multiples, incluant 4He, 36Cl/Cl, 14C and 87Sr/86Sr.” Hydrogeol. J. 25 (7): 2031–2047. https://doi.org/10.1007/s10040-017-1609-x.
Sampath, P. V., H.-S. Liao, Z. K. Curtis, P. J. Doran, M. E. Herbert, C. A. May, and S.-G. Li. 2015. “Understanding the groundwater hydrology of a geographically-isolated Prairie Fen: Implications for conservation.” PLoS One 10 (10): e0140430. https://doi.org/10.1371/journal.pone.0140430.
Shah, N., M. Nachabe, and M. Ross. 2007. “Extinction depth and evapotranspiration from ground water under selected land covers.” Groundwater 45 (3): 329–338. https://doi.org/https://doi.org/10.1111/j.1745-6584.2007.00302.x.
Simmons, C. T., K. A. Narayan, J. A. Woods, and A. L. Herczeg. 2002. “Groundwater flow and solute transport at the Mourquong saline-water disposal basin, Murray Basin, southeastern Australia.” Hydrogeol. J. 10 (2): 278–295. https://doi.org/10.1007/s10040-002-0192-x.
Smith, M. R. 2018. Evaluating modern recharge to the Memphis aquifer at the Lichterman well field Memphis, Tennessee. Memphis, TN: Univ. of Memphis.
Soil Survey Staff, Natural Resources Conservation Service, and USDA. 2023. “Web soil survey.” Accessed January 23, 2023. http://websoilsurvey.sc.egov.usda.gov/.
Torres-Uribe, H., B. Waldron, D. Larsen, and S. Schoefernacker. 2021. “Application of numerical groundwater model to determine spatial configuration of confining unit breaches near a municipal well field in Memphis, Tennessee.” J. Hydrol. Eng. 26 (9): 05021021. https://doi.org/10.1061/(ASCE)HE.1943-5584.0002117.
USGS. 2019. “USGS national hydrography dataset best resolution (NHD) for hydrological unit (HU) 8 - 08010209 (published 20171222) and (HU) 8 - 08010211 (published 20171222).” Accessed October 23, 2019. https://www.usgs.gov/national-hydrography/access-national-hydrography-products.
USGS. 2021. National hydrography dataset. Reston, VA: USGS.
Villalpando-Vizcaino, R., B. Waldron, D. Larsen, and S. Schoefernacker. 2021. “Development of a numerical multi-layered groundwater model to simulate inter-aquifer water exchange in Shelby County, Tennessee.” Water 13 (18): 2583. https://doi.org/10.3390/w13182583.
Vocciante, M., A. P. Reverberi, and V. G. Dovì. 2016. “Approximate solution of the inverse Richards’ problem.” Appl. Math. Modell. 40 (9–10): 5364–5376. https://doi.org/10.1016/j.apm.2015.12.026.
Waldron, B., D. Larsen, R. Hannigan, R. Csontos, J. Anderson, C. Dowling, and J. Bouldin. 2011. Mississippi embayment regional ground water study. EPA/600/R-10/130. Washington, DC: USEPA.
Zeinali, M., A. Azari, and M. M. Heidari. 2020. “Simulating unsaturated zone of soil for estimating the recharge rate and flow exchange between a river and an aquifer.” Water Resour. Manage. 34 (1): 425–443. https://doi.org/10.1007/s11269-019-02458-7.
Zhu, Y., L. Shi, L. Lin, J. Yang, and M. Ye. 2012. “A fully coupled numerical modeling for regional unsaturated–saturated water flow.” J. Hydrol. 475 (Dec): 188–203. https://doi.org/10.1016/j.jhydrol.2012.09.048.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 28Issue 12December 2023

History

Received: May 16, 2022
Accepted: Apr 24, 2023
Published online: Sep 28, 2023
Published in print: Dec 1, 2023
Discussion open until: Feb 28, 2024

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Graduate Research Assistant, Center for Applied Earth Science and Engineering Research (CAESER), Dept. of Civil Engineering, Herff College of Engineering, Univ. of Memphis, 3720 Alumni Ave., Memphis, TN 38152 (corresponding author). ORCID: https://orcid.org/0000-0002-7625-028X. Email: [email protected]
Brian Waldron [email protected]
Director and Professor, Center for Applied Earth Science and Engineering Research (CAESER), Dept. of Civil Engineering, Herff College of Engineering, Univ. of Memphis, 3720 Alumni Ave., Memphis, TN 38152. Email: [email protected]
Farhad Jazaei [email protected]
Assistant Professor, Dept. of Civil Engineering, Herff College of Engineering, Univ. of Memphis, 3720 Alumni Ave., Memphis, TN 38152. Email: [email protected]

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