Toward an appropriate flow law to model icy moons tidal and convective deformation

Flow laws describe how ice deforms as a function of a number of parameters, such as strain, stress, grain-size, temperature, anisotropy or pressure. They are critical to describe the flow of terrestrial glaciers and the tidal and convective deformation taking place in icy moons. 
However, whereas Glen’s law is used in the cryosphere science community, the so-called Goldsby and Kohlstedt flow law is used in the icy moon community. 
How different are these two types of law? What are their limitations and domain of applicability? 
In this work, we first remind the origin and the assumptions behind these two types of law. We then get back to the physics of the deformation processes of concern, in the case of tidal forcing (very low cumulated strain) or convective deformation (very low stresses) to highlight the limits of applicability of the laws. 
Using existing laboratory experiments and field measurements we investigate and help inferring the best law to use and provide some illustrations of the impact on the convective response.