Various industrial or natural slurries are coarse, concentrated suspen
sions with a yield stress. Relevant practical methods are needed to de
termine the behaviour of such fluids. Here we provide a simple, theore
tical approach to describe form of deposits remaining after free surfa
ce flow stoppage as a function of fluid characteristics. Thixotropy, i
nertial effects and sedimentation are neglected. It is demonstrated th
at the flow depth, as a function of the distance from the edge, can be
predicted in any direction. Further analysis shows that there is a cl
ear difference in the form of deposit edge between materials in which
there is a grain-to-grain network of interaction and materials in whic
h there is a network of colloidal interaction. These results provide a
first order, practical, rheological and structural interpretation of
current deposits of pastes, muds, slurries, fresh concrete or magmas.