New solutions in the Laplace and time domains are developed that descr
ibe the transient response of a leaky aquifer to constant and transien
t discharge into a fully or partially penetrating sink with storage. A
parameter estimation procedure based on the Newton-Raphson algorithm
is found to be robust in a synthetic example involving a pumping test
of a large-diameter well situated in a leaky strip aquifer. The analyt
ical solutions presented may find applications in describing water mov
ement in strip aquifers, in aquifers discharging into channels or stre
ams, or in thin laboratory tanks.