Boundary depletion rate and drawdown in leaky wedge-shaped aquifers
Version of Record online: 9 JAN 2012
Copyright © 2011 John Wiley & Sons, Ltd.
Volume 26, Issue 20, pages 3101–3113, 30 September 2012
How to Cite
Sedghi, M. M., Samani, N. and Sleep, B. (2012), Boundary depletion rate and drawdown in leaky wedge-shaped aquifers. Hydrol. Process., 26: 3101–3113. doi: 10.1002/hyp.8338
- Issue online: 12 SEP 2012
- Version of Record online: 9 JAN 2012
- Accepted manuscript online: 29 SEP 2011 01:34PM EST
- Manuscript Accepted: 15 SEP 2011
- Manuscript Received: 12 AUG 2010
- wedge-shaped aquifers;
- Laplace transform;
- Fourier transform;
- stream depletion rate
This study presents analytical solutions of the three-dimensional groundwater flow to a well in leaky confined and leaky water table wedge-shaped aquifers. Leaky wedge-shaped aquifers with and without storage in the aquitard are considered, and both transient and steady-state drawdown solutions are derived. Unlike the previous solutions of the wedge-shaped aquifers, the leakages from aquitard are considered in these solutions and unlike similar previous work for leaky aquifers, leakage from aquitards and from the water table are treated as the lower and upper boundary conditions. A special form of finite Fourier transforms is used to transform the z-coordinate in deriving the solutions. The leakage induced by a partially penetrating pumping well in a wedge-shaped aquifer depends on aquitard hydraulic parameters, the wedge-shaped aquifer parameters, as well as the pumping well parameters. We calculate lateral boundary dimensionless flux at a representative line and investigate its sensitivity to the aquitard hydraulic parameters. We also investigate the effects of wedge angle, partial penetration, screen location and piezometer location on the steady-state dimensionless drawdown for different leakage parameters. Results of our study are presented in the form of dimensionless flux-dimensionless time and dimensionless drawdown-leakage parameter type curves. The results are useful for evaluating the relative role of lateral wedge boundaries and leakage source on flow in wedge-shaped aquifers. This is very useful for water management problems and for assessing groundwater pollution. The presented analytical solutions can also be used in parameter identification and in calculating stream depletion rate and volume. Copyright © 2011 John Wiley & Sons, Ltd.