Sorption isotherm restricted by multilayer hindered adsorption and its relation to nanopore size distribution

Nguyen, Hoang Thai; Rahimi-Aghdam, Saeed; Bažant, Zdeněk P.

doi:10.1016/j.jmps.2019.03.003

Cited by 18 publications

(21 citation statements)

References 17 publications

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“…The primary variable is now decomposed into the macroscopic (slow) component 𝑝 (0) and microscopic (fast) component 𝑝 (1) while terms with higher power of 𝜂 are omitted 𝑝 = 𝑝 (0) + 𝜂𝑝 (1) + ……”

Section: Separation Of Scalesmentioning

confidence: 99%

“…In accordance with the homogenization theory, it is assumed that all these terms are periodic over some RVE with periodic geometrical structure and the volumetric average of the fluctuation term 𝑝 (1)…”

Section: Separation Of Scalesmentioning

confidence: 99%

“…All the length variables are transformed from the macroscopic system 𝐱 to the microscopic reference system 𝐲 according to Equation (5) and components of pressure gradient 𝑔 of the same 𝜂 power are collected. Three distinct terms in 𝑔 expression emerge (the fourth one with second spatial derivative of 𝑝 (1) is omitted as negligible) 𝑔 = 𝜂 −1 𝑔 (−1) + 𝑔 (0) + 𝜂𝑔 (1) + ……”

Section: Separation Of Scalesmentioning

confidence: 99%

“…In the derivation of Equation ( 11 ) ( 𝜂 −1 𝑔 (−1) + 𝑔 (0) + 𝜂𝑔 (1) + … ) = 𝜂 −1 𝑗 (−1) + 𝑗 (0) + 𝜂𝑗 (1) + ……”

Section: Separation Of Scalesmentioning

confidence: 99%

“…Transport of mass, heat, or electric charge through heterogeneous solid material is an important problem in a number of practical applications. A large number of experimental and numerical works concerning heterogeneous materials are devoted to study the transport of moisture or water, 1,2 heat, 3,4 or chlorides 5,6 . Particularly in civil engineering, the transport behavior of concrete is of paramount importance as temperature, relative humidity, and/or chemical substances largely influence its mechanical behavior as well as durability 7 …”

Section: Introductionmentioning

confidence: 99%

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Homogenization of discrete diffusion models by asymptotic expansion

Eliáš

Yin

Cusatis

2022

Num Anal Meth Geomechanics

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Diffusion behaviors of heterogeneous materials are of paramount importance in many engineering problems. Numerical models that take into account the internal structure of such materials are robust but computationally very expensive. This burden can be partially decreased by using discrete models, however even then the practical application is limited to relatively small material volumes. This paper formulates a homogenization scheme for discrete diffusion models. Asymptotic expansion homogenization is applied to distinguish between (i) the continuous macroscale description approximated by the standard finite element method and (ii) the fully resolved discrete mesoscale description in a local representative volume element (RVE) of material. Both transient and steady‐state variants with nonlinear constitutive relations are discussed. In all the cases, the resulting discrete RVE problem becomes a simple linear steady‐state problem that can be easily pre‐computed. The scale separation provides a significant reduction of computational time allowing the solution of practical problems with a negligible error introduced mainly by the finite element discretization at the macroscale.

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Section: Separation Of Scalesmentioning

confidence: 99%

Section: Separation Of Scalesmentioning

confidence: 99%

Section: Separation Of Scalesmentioning

confidence: 99%

“…In the derivation of Equation ( 11 ) ( 𝜂 −1 𝑔 (−1) + 𝑔 (0) + 𝜂𝑔 (1) + … ) = 𝜂 −1 𝑗 (−1) + 𝑗 (0) + 𝜂𝑗 (1) + ……”

Section: Separation Of Scalesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Homogenization of discrete diffusion models by asymptotic expansion

Eliáš

Yin

Cusatis

2022

Num Anal Meth Geomechanics

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Effects of carboxylated styrene‐butadiene latex nanoparticles on channeling leakage and pore structure of oil well cement

Dong,

Wang,

et al. 2024

J of Applied Polymer Sci

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The exploitation efficiency of oil and gas resources depends on the cementing quality. In cementing engineering, interlayer migration occurs in the underground gas layer with cement hole as the main channel, which seriously threatens the sealing integrity of cement casing and leads to the failure of cementing operation. To improve the gas migration control ability of oil well cement (OWC), two carboxylated styrene‐butadiene latex nanomaterials styrene butadiene latex containing itaconic acid and sodium p‐styrene sulfonate (SBSI) and styrene‐butadiene latex containing methacrylic acid and sodium p‐styrene sulfonate (SBSM) were synthesized. The effects of SBSI and SBSM with different carboxyl structures on the gas migration control ability and pore structure of cement were investigated. The results show that the latex is densely packed on the cement matrix through the dissociation and adsorption behavior of carboxyl groups, and the smaller particle size and lower adsorption are more conducive to the formation of the film. The introduction of latex effectively shortened the transition time of cement gel state and significantly reduced the permeability of interlayer material migration. Compared with OWC, the transition time of cement containing SBSI and SBSM latex (SBSI/OWC and SBSM/OWC) decreased from 28 to 18 and 17 min, respectively, and the filter loss decreased from 60 to 40 and 36 mL, respectively. The isolation effect of the latex film on the interlayer gas and the provision of mechanical support have greatly improved the gas migration control ability of the cement and ensured the cementing quality. In addition, the refinement of cement pore structure caused by latex brings better rheological and mechanical properties to cement. This study clarified the change of latex in the gel transition stage of OWC from liquid to solid and revealed the mechanism of latex on the internal structure change of cement. It broadens the application range of latex nanomaterials in the field of OWC and provides a new possibility for the use of OWC in high temperature and high salt environment.

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