shape consisting of a steep early-time segment, a flatter intermediate segment and a steeper late-time segment. The early segment behaves like the @theis1935 solution with $S=S_s b$ (water release due to bulk medium relaxation), the late segment behaves like the @theis1935 solution with $S=S_s b + S_y$ [@gambolati1976transient] (water release due to water table drop), and the intermediate segment represents a transition between the two. Distance-drawdown plots from unconfined aquifer tests do not show a similar inflection or change in slope, and do not produce good estimates of storage parameters.

Early Unconfined Well Test Solutions
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Moving Water Table Solutions Without Confined Storage
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The [@theis1935] solution for confined aquifers can only reproduce either the early or late segments of the unconfined time-drawdown curve (see Figure \[fig:capecod\]). [@boulton1954a] suggested it is theoretically unsound to use the @theis1935 solution for unconfined flow because it does not account for vertical flow to the pumping well. He proposed a new mechanism for flow towards a fully penetrating pumping well under unconfined conditions. His formulation assumed flow is governed by $\nabla^2 s = 0$, with transient effects incorporated through the water table boundary condition. He treated the water table (where $\psi=0$, located at $z=\xi$ 