The paper investigates the phenomenon of sand production in both axial and radial flow conditions using a coupled particle erosion-fluid transport-stress model that has been developed recently by the authors. The motivation for such a study stems from the fact that perforations in a slotted oil well can modify both the local fluid flow and stress regimes, and hence influence sand production. Based on available lab test information, the authors examine sand production in a hollow cylinder test in which sand is being produced under combined axial and radial flow of oil in a sandstone specimen. Aspects such as sand flux and porosity evolutions, as well as erosion growth around the inner wall of the cylinder, are investigated using the numerical model in view of understanding the physics of sand production.