It is usual to simulate the aquifer and river exchanges by means of a coefficient of leakage (1/s) of a semi-confining river bed. This coefficient is comprised of a hydraulic conductivity (m/s) and the width of the river bed (m), but I wonder what criteria may be managed apart from calibration. Prudic (1989) recommended to use hydraulic conductivity of the aquifer. Bed width varies from 0.1 m to m and the leakage coefficient is considered constant in time and even in space. Doppler et al. (2007) referred to variable leakage coefficient in time and space depending on seasonality and river floods. In Dahl et al. (1999) lower values were found in upper basins. Finally, Calver (2001) compiled more than 40 values of river bed hydraulic conductivity from laboratory, modelling and field studies to conclude a domain varying from 10-7 to 10-3 m/s, being less frequent than other values as 1,3•10-9 to 2•10-2 m/s. Some other values (1/s) are found in Spanoudaki (2009), 1.4·10-3; Irvine et al. (2012) 1.1·10-6-1.7·10-6; Teloglou & Bansal (2012) 3.9·10-7.
Calver, A. (2001). Riverbed Permeabilities: Information from Pooled Data. Vol. 39 Nº 4. Groundwater. Jul-Aug 2001, pp.: 546-553
Dahl, M.; Harrar, W.G.; Henriksen, H.J. y Knudby, C. (1999). Regional variations in groundwater discharge to streams. Indlæg ved DVK temamøde om ’Minimumsafstrømning i vandløb’ 9-10 juni 1999 i Silkeborg
Doppler T.; Franssen, H.J.H.; Kaiser, H.P.; Kuhlman U. y Stauffer, F. (2007). Field evidence of a dynamic leakage coefficient for modelling river–aquifer interactions. Journal of Hydrology (2007) 347, 177– 187
Irvine D.J.; Brunner, P.; Franssen, H.J.H. & Simmons, C.T. (2012). Heterogeneous or homogeneous? Implications of simplifying heterogeneous streambeds in models of losing streams. Journal of Hydrology 424–425 (2012) 16–23
Prudic, D.E. (1989). Documentation of a Computer Program to Simulate Stream-Aquifer Relations Using a Modular, Finite Difference, Ground-Water Flow Model. U.S. Geological Survey. Open-File Report 88-729
Spanoudaki K, Stamou AI, Nanou-Giannarou A (2009) Development and verification of a 3-D integrated surface water-groundwater model. J Hydrol 375(3–4):410–427
Teloglou, I.S. & Bansal R.K. (2012). Transient solution for stream–unconfined aquifer interaction due to time varying stream head and in the presence of leakage. Journal of Hydrology. Vol. 428–429, 27 March 2012, pp.: 68-79