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 non-zero 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 can estimate soil parameters for aquifers discharging into a water stream of finite non-zero depth. 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. A sensitivity analysis shows that the modification can have significant impact on the predicted values of the drainable porosity.
Chor, T. L., & Dias, N. L. (2015). Technical Note: A simple generalization of the Brutsaert and Nieber analysis. Hydrology and Earth System Sciences, 19(6), 2755–2761. https://doi.org/10.5194/hess-19-2755-2015