1954
DOI: 10.1029/tr035i003p00468
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River depletion resulting from pumping a well near a river

Abstract: A well adjacent to a river will take a portion of its supply from the river A theoretical formula is developed which permits the draft on the river to be computed in terms of the distance of the well from the river, the properties of the aquifer, and time. The formula applies where the river can be considered to flow in a straight course which extends for a considerable distance both upstream and downstream from the well location.

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Cited by 257 publications
(252 citation statements)
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“…Analytical estimations of stream depletion were first proposed by Theis [4] and have since continued to be developed (e.g., [5][6][7][8][9][10]). However, Spalding and Khaleel [11] demonstrated that, despite their convenience, analytical approaches often fail to account for conditions that exist in natural steam-aquifer systems.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Analytical estimations of stream depletion were first proposed by Theis [4] and have since continued to be developed (e.g., [5][6][7][8][9][10]). However, Spalding and Khaleel [11] demonstrated that, despite their convenience, analytical approaches often fail to account for conditions that exist in natural steam-aquifer systems.…”
Section: Introductionmentioning
confidence: 99%
“…In this work, we conceptually expand on the fundamental analytical solutions of stream depletion through groundwater pumping provided in [5][6][7][8][9][10] by applying MODFLOW to investigate the impact of assuming or calibrating for a homogeneous C on regional scale stream depletion estimates. Although MODFLOW makes several simplifying assumptions that may produce errors in estimates of water flux between a river and an aquifer [37], we use MODFLOW in this work because it is commonly used in simulations to estimate stream depletion.…”
Section: Introductionmentioning
confidence: 99%
“…It is then possible to analyze the effect ofindividual events and then linearly combine the results. Glover and Balmer (1954) and Glover (1968) presented an analytical procedure for determining depletion offlow in a nearby stream caused by pumping a well. Depletion flows were calculated using the distance ofthe well from the river, the properties of the aquifer (i.e., storage coefficient and transmissivity), time of pumping and time from start of pumping.…”
Section: E(kb Ah ) +E(kb Ah ) +Q =Sah Ax Xaxmentioning
confidence: 99%
“…Computation of bank storage in the model is based on an analytical solution for the one-dimensional, saturated ground-water-flow equation for a sudden unit change in stage in the river (Glover and Balmer, 1954;Moench and others, 1974;Lucky and Livingston, 1975;Rovey, 1975). The bank-storage discharge is computed by convoluting the analytical solution of the ground-water-flow equation with the mean stage hydrograph for the reach (Moench and others, 1974;Land, 1977).…”
Section: Streamflow-routing Modelmentioning
confidence: 99%