Development and Validation of a Two-Stage Kinetic Sorption Model for Polymer and Surfactant Transport in Porous Media

Abstract

Understanding the sorption processes is critical to the successful design and implementation of a variety of technologies in subsurface application. Most transport models assume minimal interactions between adsorbed species and, thus, are unable to accurately describe the formation of adsorbed bilayers. To address this limitation, a two-stage kinetic sorption model is developed and incorporated into a one-dimensional advective−dispersive−reactive transport simulator. The model is evaluated using data obtained from column experiments conducted with a representative polymer [gum arabic (GA)] and a nonionic surfactant [Witconol 2722 (WT)] under a range of experimental conditions. Model simulations demonstrate that the first-stage polymer/surfactant-surface sorption rate is at least 1 order of magnitude greater than the second-stage rate, associated with bilayer formation, indicating that the first-stage reaction is more favorable. The reversibility of the second-stage sorption process is found to be compound-specific, with irreversible sorption observed for GA and prolonged tailing observed for WT. This study demonstrates that the developed two-stage kinetic model is superior to a two-stage equilibrium-based model in its replication of two-leg breakthrough curves observed in core flood experiments; the normalized root-mean-square error between measurement and regressed model simulations was reduced by an average of 41% with the kinetic approach.

Transport of oxytetracycline through saturated porous media: role of surface chemical heterogeneity

“…70 It is reasonable that the heterogeneity of surface sites induced by surface coating resulted in different adsorption kinetics. 71 Therefore, the heterogeneities of surface sites might be more significant during OTC mobility due to the diversity of adsorption kinetics and the changes in binding affinity of surface sites. 70…”

Evaluation of Polyelectrolyte Complex Nanoparticles for Prolonged Scale Inhibitor Release in Porous Media

“…A similar modeling approach has been used to simulate polymer transport in porous media. 44 Previous studies in the petroleum and pharmaceutical literature have modeled component release from a nanoparticle polymer matrix as a diffusional or dissolution process. 9,31,45−48 Kan et al 9 modeled the behavior of SI squeeze and squeeze lifetime in a reservoir using a combination of a peak function and solid-phase stoichiometry-based solubility products and diffusion coefficients.…”

“…PVS sorption was modeled as a rate-limited process, with equilibrium sorption defined by a Langmuir isotherm ρ normalb θ ∂ S normals ‐ normalP normalV normalS ∂ t = k normals ( 1 − S S ‐ P V S S e q ) C normalP normalV normalS S normale normalq = S max nobreak0em.25em⁡ ‐ normalP normalV normalS K normalL C normalP normalV normalS 1 + K normalL C normalP normalV normalS where k s is the PVS sorption rate (1/s), S max‑PVS is the maximum sorption capacity (mg/g), and K L is the Langmuir constant (L/mg). A similar modeling approach has been used to simulate polymer transport in porous media …”

“…PVS sorption was modeled as a rate-limited process, with equilibrium sorption defined by a Langmuir isotherm where k s is the PVS sorption rate (1/s), S max‑PVS is the maximum sorption capacity (mg/g), and K L is the Langmuir constant (L/mg). A similar modeling approach has been used to simulate polymer transport in porous media …”

An Analytical Investigation of Magnetic Variable Valve Timing System in Internal Combustion Engines

“…Various zero dimension kinetic and computational fluid dynamics (CFD) models have been developed to maximize the efficiency and minimize the air prolusion of these engines [2,3]. Greenhouse reduction has been a major concern to develop internal combustion engines and many methods such as using porous media for filtering the exhaust gases [4], hybridization of the engine with batteries of fuel cells [5,6], and variable valve timing [7]. To minimize greenhouse gas emissions from a wide range of driving conditions, a simple way is a traditional method in which the driver controls the amount of air and fuel allowed to enter the engine via the accelerator pedal [7].…”