Academic literature on the topic 'Reactive diffusive transport'

Transport of tracers subject to mass transfer reactions in single rock fractures is investigated. A Lagrangian probabilistic model is developed where the mass transfer reactions are diffusion into the rock matrix and subsequent sorption in the matrix, and sorption on the fracture surface as well as on gauge (infill) material in the fracture. Sorption reactions are assumed to be linear, and in the general case kinetically controlled. The two main simplifying assumptions are that diffusion in the rock matrix is one-dimensional, perpendicular to the fracture plane, and the tracer is displaced within the fracture plane by advection only. The key feature of the proposed model is that advective transport and diffusive mass transfer are related in a dynamic manner through the flow equation. We have identified two Lagrangian random variables τ and β as key parameters which control advection and diffusive mass transfer, and are determined by the flow field. The probabilistic solution of the transport problem is based on the statistics of (τ, β), which we evaluated analytically using first-order expansions, and numerically using Monte Carlo simulations. To study (τ, β)-statistics, we assumed the ‘cubic law’ to be applicable locally, whereby the pressure field is described with the Reynolds lubrication equation. We found a strong correlation between τ and β which suggests a deterministic relationship β∼τ3/2; the exponent 3/2 is an artifact of the ‘cubic law’. It is shown that flow dynamics in fractures has a strong influence on the variability of τ and β, but a comparatively small impact on the relationship between τ and β. The probability distribution for the (decaying) tracer mass recovery is dispersed in the parameter space due to fracture aperture variability.

Alveolar-capillary CO2 equilibration involves diffusive equilibration of CO2 across the blood-gas barrier and chemical equilibration of perfusate CO2-HCO-3-H+ reactions. These processes are governed by different, but related, driving forces and conductances. The present study examined the importance of pulmonary carbonic anhydrase (CA) for diffusive and reactive CO2 equilibration in isolated rat lungs. Lungs were perfused with salines containing membrane-impermeant or -permeant inhibitors of CA. Measurements of CO2 excretion rate, equilibrated venous and arterial PCO2 and pH, and postcapillary pH and PCO2 disequilibria were used, together with our previous model of CO2-HCO-3-H+ reactions and transport in saline-perfused capillaries (Bidani et al. J. Appl. Physiol. 55: 75–83, 1983), to compute the relevant driving forces and conductances. Reactive CO2 equilibration was markedly affected by extracellular (vascular) CA activity but not by the activity of intracellular (cytosolic) CA. The driving force for CO2 diffusion was strongly influenced by vascular CA activity. The conductance for CO2 diffusion was independent of CA activity. The minimum conductance for CO2 diffusion was estimated to be 700–800 ml.min-1.Torr-1. The results indicate that extracellular vascular CA activity influences both diffusive and reactive CO2 equilibration. However, cytosolic CA has no detectable role in alveolar-capillary CO2 equilibration.