A practical approach to modeling the hydraulic interaction of a stream
and aquifer via streambed leakage is based on the established U.S. Ge
ological Survey (USGS) model, MODFLOW. To represent flood-wave propaga
tion and the associated bank storage, MODFLOW's STREAM module is repla
ced by the Muskingum-Cunge diffusive-wave-routing scheme. The diffusiv
e wave model closely approximates a dynamic model of a hood wave's spe
ed, shape, and streambed leakage. Because the stream responds more rap
idly to disturbances than the aquifer, streambed leakage is calculated
at the flood routing time scale in order to properly represent the st
ream-aquifer coupling. However, both the relative magnitude and timing
of aquifer response to a flood wave depend on the strength of this co
upling. We find discrepancies in both the flood wave and the streambed
leakage when the wave and ground-water motions are evaluated at diffe
rent time scales. These discrepancies are significant in the case of a
strong stream-aquifer coupling, for which equal aquifer and flood-rou
ting time steps may be required. Wave diffusion and bank storage are s
hown to be comparable in magnitude and should, therefore, be included
in stream-aquifer interaction models. Diffusive wave routing more accu
rately represents wave propagation, bed leakage, and aquifer response
if short aquifer time steps are taken, and is preferable to the STREAM
module for simulating short time transients. However, the STREAM modu
le is useful for simulating large time frames if accurate modeling of
the flood-wave propagation is not required.