First‐ and second‐order kinetics approaches for modeling the transport of colloidal particles in porous media

Abstract

We present results from experiments on the migration of inorganic colloids through laboratory columns containing clean quartz sand. Particle retention on the quartz collectors was found to be substantially less in experiments using negatively charged silica (SiO2) colloids than in experiments using positively charged anatase (TiO2) or boehmite (AlOOH) colloids. Analysis of these data with respect to two different advection‐dispersion models indicates that deposition of colloidal silica follows a first‐order, reversible kinetics process, while deposition of both anatase and boehmite is more closely depicted by second‐order kinetics. Fitted values of the rate constant used to describe particle attachment vary consistently with the mean grain size of the sand and, for anatase and boehmite, are within a factor of 2 of the values predicted on the basis of colloid filtration theory.

Processes in Microbial Transport in the Natural Subsurface

“…Murphy et al [169] extend the linear reversible model to include non-linear dependence of the rate coefficients on ionic strength of solution, manifest in intermediate-scale experiments. Tan et al [120], Lindqvuist et al [69], and Saiers and Hornberger [105] all introduce the classical site-saturation limiting factor on the attachment rate coefficient, in order to account for potential depletion of available surface sites as attached microbe densities increase, which may occur when aqueous microbes cannot attach to attached microbes. Ginn [43] modeled non-Markovian (i.e., residence-time dependent) attachment/detachment kinetics apparent in experiments of McCaulou et al [165] using the exposure-time approach of Ginn [153], as described below.…”

An Improved Spectrophotometric Method To Study the Transport, Attachment, and Breakthrough of Bacteria through Porous Media

“…The use of a spectrophotometric technique is not new to the study of transport in porous media of both colloids (20,12) and bacteria (21) or for the study of bacterial adhesion to host components of cells and tissues (22). When this technique is used to investigate the effects of solution properties such as ionic strength, it is important to minimize or eliminate experimental artifacts which will interfere with the light absorbance properties of the suspension.…”

A brief review of bacterial transport in natural porous media

“…Lindqvist et al (1994) and identically Tan et al (1994) extend this approach to incorporate attachment site saturation [termed "cell density" in Lmdqvist et al (1994), not to be confused with buoyant density] through a simple nonlinearity in the sorption term,, while maintaining a linear detachment kinetic. The exact same model is recently proposed for colloid transport in Saiers et al (1994). This recent reliance on kinetic detachment is not actually new; dual attachment/detachment mechanisms were modeled similarly in an early study on particulate "clogging/declogging" (Sakthivadivel and h a y 1966;Herzig et al 1970), as noted by Corapcioglu and Haridas (1984).…”