Abstract

AbstractEstimating reductions in streamflow caused by groundwater pumping (“streamflow depletion”) is critical for conjunctive groundwater‐surface water management. Streamflow depletion can be quantified using analytical models, which have low data requirements but many simplifying assumptions, or numerical models, which represent physical processes more realistically but have high data, effort, and expertise requirements. Analytical depletion functions are a new tool that address some of the limitations of analytical models, but to date have only been evaluated in limited hydrogeological settings. Here, we compare eight different analytical depletion functions to streamflow depletion estimates from a calibrated MODFLOW numerical model used for conjunctive water management in the heavily stressed Republican River region of the High Plains Aquifer (USA). We find mostly strong agreement between the analytical depletion functions and the numerical model, though analytical depletion function estimates of depletion are lower for wells close to surface water features in high transmissivity settings. Compared to previous work, there is little variability among the eight analytical depletion functions, indicating that function formulation plays a minor role in this domain. Agreement between the modeling approaches is strongly influenced by hydrostratigraphic parameters (i.e., aquifer storage and transmissivity), suggesting accurate subsurface data are essential to estimating streamflow depletion regardless of modeling approach. Additionally, agreement between the two approaches is insensitive to pumping rate, confirming a key assumption of analytical models. Overall, analytical depletion functions provide comparable estimates of streamflow depletion to numerical models at a fraction of the time and data requirements.

Highlights

  • Analytical depletion functions are a recently-developed tool that address some of the limitations of analytical models, but to date have only been evaluated under relatively simple conditions

  • The ability of analytical depletion functions to predict streamflow depletion in complex, heterogeneous, and highly-stressed real-world settings where cumulative impacts of multiple wells are occurring simultaneously remains unknown. We address this knowledge gap by comparing a suite of analytical depletion functions to a complex, calibrated groundwater model of the Republican River Basin (USA) which is currently used for conjunctive water management (RRCA 2003)

  • River and tributaries and allows stream cells to dry in response to pumping; constant head boundaries (CHB), which are used for the Platte River at the north edge and the eastern edge of the model; and the drain package (DRN), which represent springs and are primarily along the southeastern portion of the domain

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Summary

Key Points:

● We compared streamflow depletion estimates from analytical depletion functions to a numerical model in a heavily-stressed aquifer. ● Analytical depletion functions had similar estimates of streamflow depletion with lower data and computational costs than numerical models. ● Analytical depletion functions are a potential tool for decision making in settings where numerical models are not available

Republican River Compact Administration groundwater model
Analytical depletion functions
Selecting pumping well sample
Calculating streamflow depletion in MODFLOW model
Calculating streamflow depletion with analytical depletion functions
Comparison between analytical depletion functions and MODFLOW
Spatial distribution of overall impacts
Magnitude of overall impacts
Overall performance
Well and landscape drivers of performance variability
Full Text
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