This paper examines the hydro-mechanical aspect of the sand production
problem and sets the basic frame of the corresponding mathematical mo
delling. Accordingly, piping and surface erosion effects are studied o
n the basis of mass balance and particle transport considerations as w
ell as Darcy's law. The results show that surface erosion is accompani
ed by high changes of porosity and permeability close to the free surf
ace. Quantities which can be measured in experiment, like the amount o
f produced solids or fluid discharge, can be used in an inverse way to
determine the constitutive parameters of the problem.