Simulation of a Multilayer Leaky Aquifer with Stream Depletion
Publication: Journal of Hydrologic Engineering
Volume 18, Issue 6
Abstract
Semianalytic formulas are obtained for flow to a well screened in a leaky aquifer that was overlain by an aquitard and phreatic aquifer and underlain by a second aquitard and leaky aquifer. Formulas are also obtained for the scenario in which the phreatic aquifer is hydraulically connected to a rectilinear stream. Adaptive mesh refinement is used to obtain highly resolved simulations for a meandering stream depletion problem that is both numerically challenging and has physically interesting features. The associated inverse problem is also considered, and a simple example is presented of synthetic pumping test data, which demonstrates that it can be very difficult to quantify the actual effects of pumping. The conclusion is that a framework for uncertainty quantification of aquifer parameters is necessary for objective determination of the parameters.
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References
Bear, J. (1979). Hydraulics of groundwater, Dover, New York.
Bear, J., and Verruijt, A. (1987). Modeling groundwater flow and pollution, D. Reidel Publishing, Dordrecht, The Netherlands.
Cui, T., and Ward, N. D. (2012). “Uncertainty quantification in stream depletion tests.” J. Hydraul. Eng., (Aug. 18, 2012).
Davies, B. (2002). Integral transforms and their applications, Springer, New York.
Duffy, D. G. (2004). Transform methods for solving partial differential equations, Chapman and Hall, New York.
Falle, S. (2005). “AMR applied to non-linear elastodynamics.” Adaptive mesh refinement—Theory and applications: Lecture notes in computaritonal science and engineering, T. Plewa, T. T. Linde, and V. G. J. Weirs, eds., Springer, New York.
Hemker, C. J. (1984). “Steady groundwater flow in leaky multiple-aquifer systems.” J. Hydrol., 72(3–4), 355–374.
Hemker, C. J. (1985). “Transient well flow in leaky multiple-aquifer systems.” J. Hydrol., 81(1–2), 111–126.
Hemker, C. J. (1999a). “Transient well flow in vertically heterogeneous aquifers.” J. Hydrol., 225(1–2), 1–18.
Hemker, C. J. (1999b). “Transient well flow in layered aquifer systems: The uniform well-face drawdown solution.” J. Hydrol., 225(1–2), 19–44.
Hemker, C. J., and Mas, C. (1987). “Unsteady flow to wells in layered and fissured aquifer systems.” J. Hydrol., 90(3–4), 231–249.
Henderson, N., Flores, E., Sampaio, M., Freitas, L., and Platt, G. M. (2005). “Supercritical fluid flow in porous media: Modeling and simulation.” Chem. Eng. Sci., 60(7), 1797–1808.
Hocking, G. C., and Zhang, H. (2009). “Coning during withdrawal from two fluids of different density in a porous medium.” J. Eng. Math., 65(2), 101–109.
Hunt, B. (2009). “Stream depletion in a two-layer leaky aquifer system.” J. Hydrol. Eng., 14(9), 895–903.
Hunt, B., and Scott, D. (2007). “Flow to a well in a two-aquifer system.” J. Hydrol. Eng., 12(2), 146–155.
Kaipio, J., and Somersalo, E. (2004). Statistical and computational inverse problems, Springer, New York.
Meesters, A. G. C. A., Hemker, C. J., and van den Berg, E. H. (2004). “An approximate analytical solution for well flow in anisotropic layered aquifer systems.” J. Hydrol., 296(1–4), 241–253.
Otago Computational Modelling Group. (2013). “OCMO.”〈http://www.ocmo.co.nz〉 (Mar. 19, 2013).
Schiff, J. L. (1999). The Laplace transform—Theory and applications, Springer, New York.
Ward, N. D., Falle, S., and Olson, M. (2011). “Modelling chemotactic waves in saturated porous media using adaptive mesh refinement.” Transp. Porous Media, 89(3), 487–504.
Ward, N. D., and Fox, C. (2012). “Identification of aquifer parameters from pump test data with regard for uncertainty.” J. Hydrol. Eng., 17(7), 769–781.
Ward, N. D., and Lough, H. (2011). “Stream depletion from pumping a semiconfined aquifer in a two-layer leaky aquifer system.” J. Hydrol. Eng., 16(11), 955–959.
Zhang, H., Hocking, G. C., and Seymour, B. (2009). “Critical and supercritical withdrawal from a two-layer fluid through a line sink in a partially bounded aquifer.” Adv. Water Resour., 32(12), 1703–1710.
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© 2013 American Society of Civil Engineers.
History
Received: Dec 30, 2010
Accepted: Apr 23, 2012
Published online: Apr 25, 2012
Published in print: Jun 1, 2013
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