Laboratory longitudinal diffusion tests: 2. Parameter estimation by inverse analysis

Takeda, Mikio; Zhang, M.; Nakajima, Hiromichi; Hiratsuka, T.

doi:10.1016/j.jconhyd.2008.01.003

Cited by 6 publications

(2 citation statements)

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“…The chemical osmosis experiments were terminated after the solute concentration in the upstream reservoir, which contains the low‐concentration solution, increased at least by 3% of the initial concentration difference Δ C 0 . This threshold value is low; however, the concurrent analysis of both the upstream and downstream reservoir concentrations ensures the reliable estimation of the diffusion coefficient as suggested for the through‐diffusion experiment with limited reservoir volumes [ Takeda et al , ]. In a series of experiments, the reservoir solutions were circulated at a constant flow rate of 10 mL/min; the temperature of the incubator was set at 40°C.…”

Section: Methodsmentioning

confidence: 99%

Experimental examination of the relationships among chemico‐osmotic, hydraulic, and diffusion parameters of Wakkanai mudstones

et al. 2014

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Sequential permeability and chemical osmosis experiments on Wakkanai mudstones were performed to explore the relationships between the semipermeability of clayey rocks and the hydraulic and diffusion parameters as well as the pore structure characteristics. The wide ranges in osmotic efficiency (0.0004-0.046) and intrinsic permeability (8.92 × 10 À20 to 1.24 × 10 À17 m 2 ) reflect the variation in the pore size distributions of the Wakkanai mudstones. A regression analysis between osmotic efficiency and permeability shows that the osmotic efficiency is proportional to the inverse of permeability, suggesting that the permeability is indeed indicative of the degree of semipermeability. Osmotic efficiency was determined invariant with the effective diffusion coefficient for the Wakkanai mudstones (3.59-8.36 × 10 À11 m 2 /s) due to their small osmotic efficiencies (≤0.046). The wide variation in osmotic efficiencies and pore structure characteristics of Wakkanai mudstones indicates that the nanoscale pores enable semipermeability in Wakkanai mudstones. However, the pressure evolution caused by chemical osmosis is limited by the connected wide pores that are the main conduits for water, thus dissipating the osmotic pressure buildup induced by the semipermeability of nanoscale pores.

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Section: Methodsmentioning

confidence: 99%

Experimental examination of the relationships among chemico‐osmotic, hydraulic, and diffusion parameters of Wakkanai mudstones

et al. 2014

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“…Among these models, the VC–CC model is rarely designed and performed. Certain studies have presented overviews and discussed the differences of those models, and the diffusion coefficient estimated methods were also provided [ 2 , 10 , 11 ]. However, these studies have not considered the decay effect in the radioactive nuclide diffusion experiment.…”

Section: Introductionmentioning

confidence: 99%

Intercomparison of diffusion coefficient derived from the through-diffusion experiment using different numerical methods

Chen

Wang

Lee

et al. 2014

J Radioanal Nucl Chem

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Diffusion is a dominant mechanism regulating the transport of released nuclides. The through-diffusion method is typically applied to determine the diffusion coefficients (D). Depending on the design of the experiment, the concentrations in the source term [i.e., inlet reservoir (IR)] or the end term [i.e., outlet reservoir (OR)] can be fixed or vary. The combinations involve four distinct models (i.e., the CC–CC model, CC–VC model, VC–CC model, and the VC–VC model). Studies discussing the VC–CC model are scant. An analytical method considering the decay effect is required to accurately interpret the radioactive nuclide diffusion experiment results. Therefore, we developed a CC–CC model and a CC–VC model with a decay effect and the simplified formulas of these two models to determine the diffusion coefficient (i.e., the CC–CC method and CC–VC method). We also proposed two simplified methods using the VC–VC model to determine the diffusion coefficient straightforwardly based upon the concentration variation in IR and OR. More importantly, the best advantage of proposed method over others is that one can derive three diffusion coefficients based on one run of experiment. In addition, applying our CC–VC method to those data reported from Radiochemica Acta 96:111–117, 2008; and J Contam Hydrol 35:55–65, 1998, derived comparable diffusion coefficient lying in the identical order of magnitude. Furthermore, we proposed a formula to determine the conceptual critical time (Tc), which is particularly beneficial for the selection of using CC–VC or VC–VC method. Based on our proposed method, it becomes possible to calculate diffusion coefficient from a through-diffusion experiment in a shorter period of time.

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Diffusion of HTO, 36Cl and 22Na in the Mesozoic rocks of Northern Switzerland: III. Cross-lab comparison of diffusion measurements on argillaceous twin samples

Van Laer,

Aertsens,

Maes

et al. 2024

Applied Geochemistry

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Laboratory longitudinal diffusion tests: 2. Parameter estimation by inverse analysis

Cited by 6 publications

References 36 publications

Experimental examination of the relationships among chemico‐osmotic, hydraulic, and diffusion parameters of Wakkanai mudstones

Experimental examination of the relationships among chemico‐osmotic, hydraulic, and diffusion parameters of Wakkanai mudstones

Intercomparison of diffusion coefficient derived from the through-diffusion experiment using different numerical methods

Diffusion of HTO, 36Cl and 22Na in the Mesozoic rocks of Northern Switzerland: III. Cross-lab comparison of diffusion measurements on argillaceous twin samples

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