Abstract
Abstract. The Brutsaert and Nieber (1977) analysis is a well-known method that can estimate soil parameters given discharge data for some aquifers. It has been used for several cases where the observed late-time behavior of the recession suggests that the water stream that is adjacent to the aquifer has nonzero depth. However, its mathematical formulation is, strictly speaking, not capable of reproducing these real-case scenarios since the early time behavior is based on a solution for which the aquifer stream has zero depth (Polubarinova-Kochina, 1962). We propose a simple generalization for the Brutsaert and Nieber (1977) method that takes into consideration the depth of the adjacent water stream. The generalization is based on already available solutions by Polubarinova-Kochina (1962), Chor et al. (2013) and Dias et al. (2014) and can be readily implemented with little effort. The original and proposed equations are tested against numerical simulations of the full nonlinear Boussinesq equation. A sensitivity analysis shows that the modification can have significant impact on the predicted values of both the drainable porosity and the saturated hydraulic conductivity.
Highlights
IntroductionThe Brutsaert and Nieber (1977) analysis ( on referred to as BN77) has been widely used in hydrologic research to estimate aquifer parameters given some discharge data
The Brutsaert and Nieber (1977) analysis has been widely used in hydrologic research to estimate aquifer parameters given some discharge data
We have given an expression for early time aquifer discharge that generalizes the broadly used Eq (18) of Brutsaert and Nieber (1977) for cases where H0 is not small enough compared with H to make φ0 = 0 a valid approximation and compared the results to the original BN77 method
Summary
The Brutsaert and Nieber (1977) analysis ( on referred to as BN77) has been widely used in hydrologic research to estimate aquifer parameters given some discharge data This technique is based on “state-space”-like plots of Q × dQ/dt, where Q(t) is the aquifer discharge as a function of time. This generalized implementation is later shown to considerably improve the estimation of the hydraulic conductivity and drainable porosity in numerically generated data This result suggests that this new formulation of the BN77 analysis could potentially be useful for obtaining k0 and ne in man-made drainage systems and improving simulations of drainage and water table dynamics from hypothetical hillslopes and for better understanding single hillslope processes, where the BN77 analysis is more likely to succeed This result suggests that this new formulation of the BN77 analysis could potentially be useful for obtaining k0 and ne in man-made drainage systems and improving simulations of drainage and water table dynamics from hypothetical hillslopes and for better understanding single hillslope processes, where the BN77 analysis is more likely to succeed (Troch et al, 2013, Sect. 4.3)
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