  Glacier ice flow is shaped and defined by several properties, including the
bedrock elevation profile and the basal slip distribution. The effect of these
two basal properties can present in similar ways in the surface. For bedrock
recovery this makes distinguishing between them an interesting and complex
problem. The results of this paper show that in some synthetic test cases it is
indeed possible to distinguish and recover both bedrock elevation and basal
slip given free surface elevation and free surface velocity. The unidirectional
shallow ice approximation is used to compute steady state surface data for a
number of synthetic cases with different bedrock profiles and basal slip
distributions. A simple inversion method based on Newton's method is applied to
the known surface data to return the bedrock profile and basal slip
distribution. In each synthetic test case, the inversion was successful in
recovering both the bedrock elevation profile and the basal slip distribution
variables. These results imply that there is a unique bedrock profile and basal
slip which give rise to a unique combination of free surface velocity and free
surface elevation.
