Modified Particle Detachment Model for Colloidal Transport in Porous Media |
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Authors: | Pavel Bedrikovetsky Fernando D Siqueira Claudio A Furtado Antonio Luiz S Souza |
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Institution: | 1.Australian School of Petroleum,University of Adelaide,Adelaide,Australia;2.State North Fluminense University of Rio de Janeiro UENF,Rio de Janeiro,Brazil;3.CENPES,Petrobras Research Center,Rio de Janeiro,Brazil |
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Abstract: | Particle detachment from the rock during suspension transport in porous media was widely observed in laboratory corefloods
and for flows in natural reservoirs. A new mathematical model for detachment of particles is based on mechanical equilibrium
of a particle positioned on the internal cake or matrix surface in the pore space. The torque balance of drag, electrostatic,
lifting and gravity forces, acting on the particle from the matrix and the moving fluid, is considered. The torque balance
determines maximum retention concentration during the particle capture. The particle torque equilibrium is determined by the
dimensionless ratio between the drag and normal forces acting on the particle. The maximum retention function of the dimensionless
ratio (dislodging number) closes system of governing equations for colloid transport with particle release. One-dimensional
problem of coreflooding by suspension accounting for limited particle retention, controlled by the torque sum, allows for
exact solution under the assumptions of constant filtration coefficient and porosity. The explicit formulae permit the calculation
of the model parameters (maximum retention concentration, filtration and formation damage coefficients) from the history of
the pressure drop across the core during suspension injection. The values for maximum retention concentration, as obtained
from two coreflood tests, have been matched with those calculated by the torque balance on the micro scale. |
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