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Technical Notes
Apr 30, 2020

Well-Induced Stream Depletion and Groundwater Return Flow: Estimating Impact Schedules with a Finite-Difference Spreadsheet

Publication: Journal of Water Resources Planning and Management
Volume 146, Issue 7

Abstract

Allocation of water from stream-aquifer systems must account for stream depletion from well withdrawal and for accretion from groundwater return flow. Both are subject to attenuation and delay. Transient impact assessment tools include: simplified analytical solutions; special finite-difference groundwater modeling software, such as MODFLOW; and the Delayed Impact Calculator (Calculator), a spreadsheet programmed by the author for streamlined finite-difference estimation of dynamic schedules. Well-induced stream depletion results from the Calculator are compared to results from established tools for a previously documented scenario. Similar comparisons are described for modified cases. Calculator results match MODFLOW (version 1.12.00) results (y=1.0000x, r2=1.0000, 3 sets, 90 pairs each). The finite-difference tools estimate somewhat quicker stream response to groundwater impulse than do analytical solutions derived for ideal semi-infinite aquifers. A previously documented schedule estimate for a simple groundwater return flow scenario is confirmed by the Calculator. An example of Calculator utility is given, treating return flow to a reach above an active surface diversion.

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Data Availability Statement

All data used herein appear in the manuscript, figures, and tables. The computational tools can each be obtained for free online from the addresses given. The subject Calculator can be found in the HydroShare repository (Robinson 2020). It is a product of initiative without funding.
Mathematical processes employed by the Delayed Impact Calculator are described by the text. Visual Basic code that implements the calculations is protected to preserve integrity. All procedures of the code can be executed upon opening the workbook in a recent version of Excel with macros enabled.

Acknowledgments

The Delayed Impact Calculator Methods section includes material adapted from the instruction manual, another work by this author. Both include source references for citations of fact. Janet Alcon of Mesa County Libraries earned appreciation by facilitating access to literature. Anonymous reviewers and journal editors earned the gratitude of the author by making insightful suggestions for manuscript improvement.

References

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Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 146Issue 7July 2020

History

Received: Feb 19, 2019
Accepted: Jan 13, 2020
Published online: Apr 30, 2020
Published in print: Jul 1, 2020
Discussion open until: Sep 30, 2020

Authors

Affiliations

Samuel Collin Robinson, M.ASCE [email protected]
P.E.
Professsional Engineer, Guide Water, P.O. Box 4033, Grand Junction, CO 81502. Email: [email protected]

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