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There is one basal hydrology model implemented right now in Elmer/Ice. An other one, the GlaDS model, from Werder et al. (2013) is under development.
The model consist of two solvers, one is used for the inefficient drainage system (IDSSolver) and the other one for the efficient drainage system (EPLSolver). Each compute the water head by mean of a diffusion equation based on Darcy's law. The two can be coupled by a transfer equation using the WaterTransfer user function.
Two basic tests can be found in [ELMER_TRUNK]/elmerice/Tests/Hydro_SedOnly
and [ELMER_TRUNK]/elmerice/Tests/Hydro_Coupled
.
When used this solver can be cited using the following reference :
de Fleurian, B.; Gagliardini, O.; Zwinger, T.; Durand, G.; Le Meur, E.; Mair, D. & Råback, P. A double continuum hydrological model for glacier applications The Cryosphere, 2014, 8, 137-153
More information will follow when available.