On the stress dependency of sand production coefficient in hydro-dynamical sanding criteria

Solids production is a complex physical process which controlled by several factors including mechanical failure from in-situ stresses and hydrodynamic erosion fluid flow. Hydrodynamic models for the prediction of sand involve sanding criteria based on filtration theories. Such contain constitutive model parameter, coefficient λ, with dimensions inverse length calibrated tests, but its nature dependencies have not been clarified to date. The aim this work an attempt refine investigating dependence λ external stress conditions plastic zone Λ that developed hollow cylinders tests propose expression describing importance in modelling. obtained through simulations finite elements utilizing well-established Arbitrary Lagrangian-Eulerian (ALE) analysis considering poro-mechanical coupling fluid-solid system simulating cylinder tests. Best fitting experimental data estimated values various are back analysis. turns out be fairly smooth three-parameter proposed describe dependence: scale exponent, parameter defining magnitude at onset predicted. It associated minimum required yielding occur, was also theoretically. This finding agreement assumption underlying onsets progresses after material reaches critical strain as consequence yielding. A power law depth discussed.