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## Conceptual models >## Pumping near river |

Semi-infinite aquifer: pumping near river (Cauchy boundary)

Assumptions:

✓aquifer is confined or unconfined, isotropic, semi-infinite;

✓boundary represented by the river value is straight, of infinite length (Cauchy boundary condition);

✓pumping well is fully penetrating;

✓image well is single, image discharge rate being equal in value and opposite in sign to the discharge rate of the pumping well;

✓drawdown is estimated in the aquifer at any distance from the pumping well or river.

Semi-infinite confined aquifer with Cauchy boundary condition (for Shestakov's solution). a – cross-section; b – plan view.

In analytical solution Cauchy boundary at its location (actual boundary) is replaced by Dirichlet boundary (hydraulic boundary) that is moved at additional distance from a pumping well

Semi-infinite unconfined aquifer with Cauchy boundary condition (for Hantush's solution). a – cross-section; b – plan view.

Partially penetrating stream of finite width

Assumptions:

✓the aquifer is unconfined; the case of leakage from the underlying aquifer is considered;

✓the boundary is partially penetrating river of a finite width.

Pumping test in an aquifer near a partially penetrating stream of finite width

Pumping regimes:

One well pumped at a constant rate

Pumping

Recovery

One or several wells pumped at a variable rate

Pumping

References

Зеегофер Ю.О., Шестаков В.М. Методика обработки данных опытных откачек вблизи реки // Разведка и охрана недр. 1968. № 9. С. 38–44.

Hantush M.S. Wells near streams with semipervious beds // Journal of Geophysical Research. 1965. Vol. 70, N 12. P. 2829–2838.

Hunt B. Unsteady stream depletion from ground water pumping // Ground Water. 1999. Vol. 37, N 1. P. 98–102.

Zlotnik V. A., Tartakovsky D.M. Stream depletion by groundwater pumping in leaky aquifers // Journal of Hydrologic Engineering. 2008. Vol. 13, N 2. P. 43–50.