Abstract
Transport of suspensions and emulsions in porous media occurs in numerous processes of environmental, chemical, petroleum and civil engineering. In this work, a mass balance particle transport equation which includes filtration has been developed. The steady-state transport equation is presented and the solution to the complete advective-dispersion equation for particulate suspension flow has been derived for the case of a constant filter coefficient. This model in-cludes transport parameters which are particle advective velocity, particle longitudinal dispersion coefficient and filter coefficient. This work recommends to be investigated by particle longitudinal dispersion calculation from experimental data, directly. Besides, the numerical model needs to be developed for general case of a transition filter coefficient.
Highlights
The transport of particulate suspensions in porous medium occurs in a variety of industrial and natural process such as wastewater treatment, propagation of pollutants in subsurface environment, fouling of membranes and seawater injection in oil reservoirs
The steady-state transport equation is presented and the solution to the complete advective-dispersion equation for particulate suspension flow has been derived for the case of a constant filter coefficient
This work recommends to be investigated by particle longitudinal dispersion calculation from experimental data, directly
Summary
The transport of particulate suspensions in porous medium occurs in a variety of industrial and natural process such as wastewater treatment, propagation of pollutants in subsurface environment, fouling of membranes and seawater injection in oil reservoirs. The study of particle retention in porous medium can be dated back to the work of Iwasaki [2] who proposed the following basic empirical for deep bed hydrosol filtration. The must used approach for evaluating colloid migration, retention and detachment is solute transport mass balance equation with the sink term for particle retention [3,4]. The term in Equation (3) is called filtration coefficient. Equations (1) and (2) together with the formula for coefficient are called the classical filtration theory in above references. The filtration coefficient will be discussed as a dominant parameter in the particle transport and retention through porous medium
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