Discussion of “River depletion resulting from pumping a well near a river”

In addition to the notation used by the authors, the following is also used: b = the thickness of the artesian aquifer, ft b′ = the thickness of the confining bed through which vertical leakage takes place in proportion to the drawdown, ft K′ = permeability of the confining bed, ft/sec T = transmissibility of the aquifer which is equal to Kb in confined flow systems, and equals KD in unconfined flow systems, ft/sec S = storage coefficient which, in artesian aquifers, is the volume of water that a unit decline of head releases from storage in a vertical prism of the aquifer of unit cross-section; its ultimate value in water table aquifers is the specific yield of the aquifer, which is designated by V in the authors' paper, demensionless B = leakage factor, which equals ft [Hantush and Jacob, 1954] erf (Z) = the error function or the probability integral = dv erfc (Z) = the complementary error function = 1 − erf (Z)