Filtration of water and wastewater

Real‐scale miscible grout injection experiment and performance of advection–dispersion–filtration model

“…For experimental results, the pressure transducer value at r"0.045 m is much below p value, despite the small distance (2.5 cm) separating them. Such a discrepancy can be connected to a partial occlusion occurring near the injection holes (not detected during the removal of cemented bulb, but the possibility of occlusion and retraining of adsorbed grout should not be disregarded), the possible local increase of deposition rate or change in deposition mode morphology [9], not reproduced by numerical model, because a constant and uniform deposition was used for simulations.…”

“…For the transport equation, the Streamline Upwind Petrov Galerkin method with discontinuity capturing has been retained [9]. Time discretization relies on the -method.…”

“…The following relation, of common use in environmental and chemical engineering practice, is employed [9]:…”

Trajectory analysis of deep‐bed filtration with the sphere‐in‐cell porous media model

“…It is evident that an attractive surface force of the gravitational collection, the extent of the attractive surface force, and the magnitude of Brownian diffusion. In order to avoid extensive and time-consuming computer usage for future use of this model, we have presented a semiempirical relation for the initial collection efficiency [Equation ( Traditionally, theoretical investigations of deep-bed filtration have been limited mainly to the macroscopic study of the problem, which involves the solution of the conservation equation and the use of gross parameters to characterize the bed behavior (for example, see Ives, 1971). The introduction of the particle trajectory concept by Yao (1968), then used primarily in aerosol filtration, for the study of particle deposition in water filtration has opened up a new phase in the theoretical studies.…”

Mathematical and numerical filtration–advection–dispersion model of miscible grout propagation in saturated porous media

“…Even though #uid dynamics underlying "ltration processes is complex, models for interpreting those processes all rely on Darcy's law, combined with relevant constitutive equations. For Ives [3], the pressure drop within the porous medium is calculated by using Kozeny}Carman equation to express the permeability function, corrected by medium occlusion e!ect. The rate expressions used for "ltration, and the pressure drop gradient expressions, are semi-empirical laws and include adjustable model parameters, or functional relationships which are to be identi"ed by experiments.…”