Estimation–identification problem for diffusive transport in porous materials based on single reservoir test: Results for silica hydrogel

Kaczmarek, Mariusz; Kazimierska-Drobny, K.

doi:10.1016/j.jcis.2007.02.054

Cited by 3 publications

(2 citation statements)

References 15 publications

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“…The effective diffusion coefficients of Cu(II) for different initial Cu(II) concentrations are listed in Table . The effective diffusivities of various ions and substances in water and silica hydrogel are also reported in Table . ,− Substances such as malachite green and xylenol orange, that are strongly adsorbed onto silica gel, had very small diffusion coefficients in silica hydrogel since they diffuse in the adsorbed state. In the adsorbed state, breaking and reforming of physical bonds are needed.…”

Section: Resultsmentioning

confidence: 99%

Use, Preparation, and Characterization of Copper-Containing Silica Gel

Ulutan

Demir

Balköse

2020

Ind. Eng. Chem. Res.

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The preparation and characterization of humidity-indicating silica gel containing copper sulfate were aimed at in the present study. The equilibrium and kinetics of Cu(II) sorption were investigated by contacting 200–1600 mg dm–3 Cu ion-containing solutions with silica hydrogel slabs having 10% silica. The diffusion coefficient of Cu(II) in silica hydrogel was determined to be on the order of 10–10 m2 s–1. X-ray diffraction indicated that the gels contained mainly CuSO4·3H2O, CuSO4·H2O, and small amounts of CuSO4 and CuSiO3·2H2O. The silica gel with Cu(II) can be used as a humidity indicator since its color changes from light blue to dark blue upon moisture adsorption.

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Section: Resultsmentioning

confidence: 99%

Use, Preparation, and Characterization of Copper-Containing Silica Gel

Ulutan

Demir

Balköse

2020

Ind. Eng. Chem. Res.

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“…In the case of the reactive tracer, the last component of Eq. (1) refers to sorption processes, whose mathematical descriptions may display various levels of complexity (Kaczmarek and Kazimierska-Drobny 2007). Simple transport models with equilibrium sorption include so-called sorption isotherms:…”

Section: Mathematical Modelsmentioning

confidence: 99%

Preselection of a sorption model based on a column test: the algorithm and an example of its application

2021

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In order to describe the contamination of saturated porous media, it is necessary to find an appropriate mathematical model that includes processes occurring in aquifers, such as advection, dispersion, diffusion, and various kinds of sorption. The identification of parameters of those processes is possible through laboratory column experiments, which result in records of breakthrough curves for a conservative tracer and a reactive tracer. An algorithm leading to the preliminary selection of the mathematical model that best describes transport processes of the reactive tracer in the experimental column is proposed in this article. A study published previously presented a sensitivity analysis for an arbitrarily adopted variability of the transport parameters. The analysis involved examining changes in the shape of breakthrough curves caused by the alteration of each parameter value. Specially defined indicators called descriptors were proposed to quantitatively describe the breakthrough curves. Then, formulas were proposed to determine the percentage deviations of descriptors of the breakthrough curve obtained for the reactive tracer in relation to the descriptors of the breakthrough curve of the conservative tracer. In the work described in this article, the deviations are analyzed and an algorithm is proposed that allows the preselection of the most suitable sorption model out of the five discussed simple (one-site) and six hybrid (two-site) models. The algorithm can facilitate and accelerate the interpretation of column experiments of contaminant transport in a porous medium. An example is provided to illustrate the usability of the proposed algorithm.

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Identification of diffusive transport properties of poly(vinyl alcohol) hydrogels from reservoir test

Kazimierska-Drobny

Kaczmarek

2013

Materials Science and Engineering: C

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Estimation–identification problem for diffusive transport in porous materials based on single reservoir test: Results for silica hydrogel

Cited by 3 publications

References 15 publications

Use, Preparation, and Characterization of Copper-Containing Silica Gel

Use, Preparation, and Characterization of Copper-Containing Silica Gel

Preselection of a sorption model based on a column test: the algorithm and an example of its application

Identification of diffusive transport properties of poly(vinyl alcohol) hydrogels from reservoir test

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