Prediction and Evaluation of Time-Dependent Effective Self-diffusivity of Water and Other Effective Transport Properties Associated with Reconstructed Porous Solids

Veselý, Martin; Bultreys, Tom; Peksa, Mikuláš; Lang, Jan; Cnudde, Veerle; Hoorebeke, Luc Van; Kočiřı́k, Milan; Hejtmánek, Vladimı́r; Šolcová, Olga; Soukup, Karel; Gerke, Kirill M.; Stallmach, Frank; Čapek, Pavel

doi:10.1007/s11242-015-0557-y

Cited by 20 publications

(5 citation statements)

References 68 publications

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“…Comparison shows that permeability of ~1 ∙ 10 −13 m², determined at ambient temperature in the present study, is in good agreement with sandstone permeability reported by many researchers. Additionally, other authors have reported data for ceramic materials that are consistent with the present findings, particularly if the mean pore diameter is considered [ 25 , 26 ]. Sandstone permeability was reported to exhibit progressive temperature dependency [ 27 ].…”

Section: Resultssupporting

confidence: 91%

Considerations on Temperature Dependent Effective Diffusion and Permeability of Natural Clays

et al. 2021

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A series of porous clay samples prepared at different pretreatment temperatures have been tested in a diffusion chamber. Diffusivity and permeability were examined in a temperature range from ambient to 900 °C. Gaseous mixtures of O2, CO2, and N2 have been applied, as these species are the relevant gases in the context of clay brick firing and similar thermochemical processes. Diffusive transport characteristics have been determined by means of the mean transport-pore model, and permeability has been evaluated by Darcy’s law. CO2 diffusivity increased strongly with temperature, whereas O2 diffusion was limited to a certain level. It is proposed that one should consider CO2 surface diffusion in order to explain this phenomenon. The diffusion model was expanded and surface diffusion was included in the model equation. The results of the model fit reflected the important role of incorporated carbonates of the clay foundation in gas-phase (molecular or Knudsen) diffusivity. CO2 surface diffusion was observed to exhibit similar coefficients for two different investigated clays, and is therefore indicated as a property of natural clays. Permeability showed a progressive rise with temperature, in line with related literature.

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Section: Resultssupporting

confidence: 91%

Considerations on Temperature Dependent Effective Diffusion and Permeability of Natural Clays

et al. 2021

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“…where k is the time step and λ is a parameter smaller than but close to unity (λ=0.999999 for all reconstructions presented here). An optimized Capek pixel permutation approach based on interface choices [37,38] was used. Periodic boundary conditions were applied for CFs evaluation.…”

Section: The Classical Simulated Annealing Reconstruction Techniquementioning

confidence: 99%

Adaptive phase-retrieval stochastic reconstruction with correlation functions: 3D images from 2D cuts

Cherkasov,

Ananev,

Karsanina

et al. 2021

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Precise characterization of three-dimensional heterogeneous media is indispensable in finding the relationships between structure and macroscopic physical properties (permeability, conductivity, and others). The most widely used experimental methods (electronic and optical microscopy) provide high-resolution bi-dimensional images of the samples of interest. However, 3D material inner microstructure registration is needed to apply numerous modeling tools. Numerous research areas search for cheap and robust methods to obtain "full" 3D information about the structure of the studied sample from its 2D cuts. In this work, we develop a dynamic phase-retrieval stochastic reconstruction algorithm that can create 3D replicas from 2D original images -DDTF. The DDTF is free of artifacts characteristic of previously proposed phase-retrieval techniques. While based on a two-point S2 correlation function, any correlation function or other morphological metrics can be accounted for during the reconstruction, thus, paving the way to the hybridization of different reconstruction techniques. In this work, we use two-point probability and surface-surface functions for optimization. To test DDTF, we performed reconstructions for three binary porous media samples of different genesis: sandstone, carbonate, and ceramic. Based on computed permeability and connectivity (C2 and L2 correlation functions), we have shown that the proposed technique in terms of accuracy is comparable to the classic simulated annealing-based reconstruction method but is computationally very effective. Our findings open the possibility of utilizing DDTF to produce fast or crude replicas further polished by other reconstruction techniques such as simulated annealing or process-based methods. Improving the quality of reconstructions based on phase-retrieval by adding additional metrics into the reconstruction procedure is possible for future work.

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“…In the paper [10], a stochastic method based on simulated annealing and X-ray microtomography was used to study the pore structures of various porous solids that differ in pore space morphology and topology. In the process of verifying the developed models, many interesting simulation and experimental results were obtained, which confirmed the pore space models.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Transport Properties and Energy Conversion of Bacterial Cellulose Membrane Using Peusner Network Thermodynamics

Ślęzak-Prochazka

Batko

Ślęzak

2022

Entropy

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We evaluated the transport properties of a bacterial cellulose (BC) membrane for aqueous ethanol solutions. Using the Rr version of the Kedem–Katchalsky–Peusner formalism (KKP) for the concentration polarization (CP) conditions of solutions, the osmotic and diffusion fluxes as well as the membrane transport parameters were determined, such as the hydraulic permeability (Lp), reflection (σ), and solute permeability (ω). We used these parameters and the Peusner () coefficients resulting from the KKP equations to assess the transport properties of the membrane based on the calculated dependence of the concentration coefficients: the resistance, coupling, and energy conversion efficiency for aqueous ethanol solutions. The transport properties of the membrane depended on the hydrodynamic conditions of the osmotic diffusion transport. The resistance coefficients , , and were positive and higher, and the coefficient was negative and lower under CP conditions (higher in convective than nonconvective states). The energy conversion was evaluated and fluxes were calculated for the U-, F-, and S-energy. It was found that the energy conversion was greater and the S-energy and F-energy were lower under CP conditions. The convection effect was negative, which means that convection movements were directed vertically upwards. Understanding the membrane transport properties and mechanisms could help to develop and improve the membrane technologies and techniques used in medicine and in water and wastewater treatment processes.

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Prediction and Evaluation of Time-Dependent Effective Self-diffusivity of Water and Other Effective Transport Properties Associated with Reconstructed Porous Solids

Cited by 20 publications

References 68 publications

Considerations on Temperature Dependent Effective Diffusion and Permeability of Natural Clays

Considerations on Temperature Dependent Effective Diffusion and Permeability of Natural Clays

Adaptive phase-retrieval stochastic reconstruction with correlation functions: 3D images from 2D cuts

Evaluation of Transport Properties and Energy Conversion of Bacterial Cellulose Membrane Using Peusner Network Thermodynamics

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