2012
DOI: 10.1007/s11242-012-0065-2
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Time Analysis of the Three Characteristic Behaviours of Dual-Porosity Media. I: Fluid Flow and Solute Transport

Abstract: Homogenisation of consolidation and compressible fluid flow in dual-porosity media has highlighted the existence of three characteristic macroscopic behaviours. These three behaviours are, namely, a dual-porosity description which includes memory effects, a single-porosity description with which the micro-porosity is simply ignored, and an intermediate behaviour which we refer as behaviour with reservoir effect. With this latter, the whole dual-porosity medium is represented by an equivalent single-porosity me… Show more

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Cited by 13 publications
(10 citation statements)
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References 36 publications
(44 reference statements)
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“…While sometimes qualified as a multiporous medium and although three distinct scales are actually involved, this composite is distinct from a double porosity microstructure (e.g. Auriault and Royer (1993), Royer and Boutin (2012), Boutin and Royer (2015)), as the distribution of the inclusions does not play the role of a porous network. Indeed, the impact of inclusions on fluid flow transfer is characterised by a purely geometrical parameter, with no reference to their fluid conductivity.…”
Section: Discussionmentioning
confidence: 99%
“…While sometimes qualified as a multiporous medium and although three distinct scales are actually involved, this composite is distinct from a double porosity microstructure (e.g. Auriault and Royer (1993), Royer and Boutin (2012), Boutin and Royer (2015)), as the distribution of the inclusions does not play the role of a porous network. Indeed, the impact of inclusions on fluid flow transfer is characterised by a purely geometrical parameter, with no reference to their fluid conductivity.…”
Section: Discussionmentioning
confidence: 99%
“…This case is usefully interpreted with characteristic times [9,13] since the characteristic macroscopic time is expected to be s M ¼ ðC M =k M ÞðL=pÞ 2 (if C M and k M are the homogenized total thermal capacity and conductivity), while their counterparts for the microscopic S and F phases are s S ¼ ðq S c S =k S Þðl S =pÞ 2 and…”
Section: Asymptotic Expansion and Periodic Homogenizationmentioning
confidence: 99%
“…Other diffusion-involved physics are also under concern: for instance the porous media flows [9] that may exhibit such delayed effects at several scales, for double permeability media, to be taken into account for contaminant dispersion in soils or for their cleaning with soil vapor extraction [28], or for oil recovery [29], the blood perfusion in biological tissues or the compact bone porous media [30].…”
Section: Applicationsmentioning
confidence: 99%
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“…In the former, a horizontal multilayered soil with anisotropic permeability undergoing square load was analyzed whilst in the later a first order homogenization on RVE was adopted to overcome the heterogeneous issue. In [20], the physical interpretation of the three characteristic behaviors of homogenized dual-porosity is evaluated along with memory effects.…”
Section: Introductionmentioning
confidence: 99%