Sand Erosion in Axial Flow Conditions |
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Authors: | Vardoulakis I Papanastasiou P Stavropoulou M |
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Institution: | (1) Department of Engineering Sciences, National Technical University of Athens, GR-157 73, Greece;(2) Schlumberger Cambridge Research, Cambridge, CB3 0EL, U.K |
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Abstract: | A mathematical model of sand erosion in axial flow conditions is presented. The basic mass balance equations and sand erosion constitutive equation were given in Vardoulakis et al. (1996). As opposed to reference Vardoulakis et al. (1996), we consider here the extreme case where convection is null and hydrodynamic dispersion dominates. In addition, Brinkman's extension of Darcy's law is adopted to account for a smooth transition between channel flow and Darcian flow. The set of governing PDE's is presented in dimensionless form and is solved numerically. In concordance with the basic constitutive equation for erosion kinetics, the analysis shows that erosion progresses in time as a front of high transport concentration. This result is justified by the highly non-linear character of the erosion source term which dominates in the diffusion-like governing equation. |
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Keywords: | sand erosion sand production axial flow Brinkman's law hydrodynamic dispersion |
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