A solution is obtained for stream flow depletion created by pumping from a
well beside a stream. This solution assumes that streambed penetration of t
he aquifer and dimensions of the streambed cross section are all relatively
small. It also assumes that the streambed is clogged and that a linear rel
ationship exists between the outflow seepage through the streambed and the
change in piezometric head across the semipervious clogging layer. The solu
tion is general enough to include the earlier solutions of Theis, Glover an
d Balmer, and Hantush, A solution is also obtained for the drawdown at any
point within the aquifer, and it is suggested that this solution might be m
atched with experimental field data to obtain estimates for aquifer and str
eambed leakage parameters.