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Late-time drainage from a sloping Boussinesq aquifer

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Title Late-time drainage from a sloping Boussinesq aquifer
Names Bogaart, Patrick W. (creator)
Rupp, David E. (creator)
Selker, John S. (creator)
van der Velde, Ype (creator)
Date Issued 2013-11-20 (iso8601)
Note This is the publisher’s final pdf. The article is copyrighted by the American Geophysical Union and can be found at: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1944-7973.
Abstract Numerical solutions to the nonlinear Boussinesq equation, applied to a steeply sloping
aquifer and assuming uniform hydraulic conductivity, indicate that late-time recession
discharge decreases nearly linearly in time. When recession discharge is characterized by
-dQ/dt=aQ[superscript b], this is equivalent to constant dQ/dt or b=0. This result suggests that a
previously reported exponential decrease with time (b=1) of modeled recession discharge
from a similar sloping aquifer represented by the same equation appears to be an artifact of
the numerical solution scheme and its interpretation. Because the linearly decreasing
recession discharge (b=0) is not known from field studies, these findings challenge the
application of a nonlinear Boussinesq framework assuming uniform conductivity and
geometric similarity to infer hydraulic properties of sloping aquifers from observations of
streamflow. This finding also questions the validity of the physical interpretation of the
exponential decline in late time resulting from the commonly used linearized form of the
Boussinesq equation, opposed to the full nonlinear equation, when applied under these
conditions. For this reason, application of the linearized equation to infer hydraulic
properties of sloping aquifers is also challenged, even if the observed recession is consistent
with that of the linearized Boussinesq equation.
Genre Article
Topic Boussinesq
Identifier Bogaart, P. W., D. E. Rupp, J. S. Selker, and Y. van der Velde (2013), Late-time drainage from a sloping Boussinesq aquifer, Water Resources Research, 49, 7498–7507. doi:10.1002/2013WR013780

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