For Publishers
DiscoveryMetadataPeer reviewHostingPublishing
For Researchers
JoinPublishReviewCollect
Register
Blog
About
Search
Advanced search
My ScienceOpen
Search
For Publishers
For Researchers
Blog
About
0
views
2
references
 Top references
cited by
0
    
0 reviews
 Review
0
comments
 Comment
0
recommends
+1 Recommend
0 collections
    0
    shares
      151
      similar
       All similar
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Enhanced seepage through a soft porous material

      Preprint
      Author(s): , , ,
      Publication date Created:

      Read this article at

      ScienceOpenArXiv
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          We perform direct numerical simulations to study the flow through a model of deformable porous media. For sufficiently soft solid skeleton we find that the flow-rate (\(Q\)) increases with the pressure-difference (\(\Delta P\)) at a rate that is faster than linear. We construct a theory of this super-linear behavior by modelling the elastic properties of the solid skeleton by Winkler foundation. Our theory further predicts that the permeability is (a) an universal function of \(\beta \equiv \Delta P/G\), where \(G\) is the shear modulus of the solid skelton and (b) proportional to the cube porosity -- Kozeny-Carman formula in the small porosity limit. Both of these predictions are confirmed by our simulations.

          Related collections

          Most cited references2

          • Record: found
          • Abstract: found
          • Article: found
          Is Open Access

          Effective equations governing an active poroelastic medium

          Philip J Collis, D Brown, M. Hubbard … (2017)
          In this work, we consider the spatial homogenization of a coupled transport and fluid–structure interaction model, to the end of deriving a system of effective equations describing the flow, elastic deformation and transport in an active poroelastic medium. The ‘active’ nature of the material results from a morphoelastic response to a chemical stimulant, in which the growth time scale is strongly separated from other elastic time scales. The resulting effective model is broadly relevant to the study of biological tissue growth, geophysical flows (e.g. swelling in coals and clays) and a wide range of industrial applications (e.g. absorbant hygiene products). The key contribution of this work is the derivation of a system of homogenized partial differential equations describing macroscale growth, coupled to transport of solute, that explicitly incorporates details of the structure and dynamics of the microscopic system, and, moreover, admits finite growth and deformation at the pore scale. The resulting macroscale model comprises a Biot-type system, augmented with additional terms pertaining to growth, coupled to an advection–reaction–diffusion equation. The resultant system of effective equations is then compared with other recent models under a selection of appropriate simplifying asymptotic limits.
          Article 0 comments Cited 8 times – based on 0 reviews     Review now
            Bookmark
            • Record: found
            • Abstract: found
            • Article: found
            Is Open Access

            From arteries to boreholes: steady-state response of a poroelastic cylinder to fluid injection

            L. C. Auton, C. MacMinn (2017)
            The radially outward flow of fluid into a porous medium occurs in many practical problems, from transport across vascular walls to the pressurization of boreholes. As the driving pressure becomes non-negligible relative to the stiffness of the solid structure, the poromechanical coupling between the fluid and the solid has an increasingly strong impact on the flow. For very large pressures or very soft materials, as is the case for hydraulic fracturing and arterial flows, this coupling can lead to large deformations and, hence, to strong deviations from a classical, linear-poroelastic response. Here, we study this problem by analysing the steady-state response of a poroelastic cylinder to fluid injection. We consider the qualitative and quantitative impacts of kinematic and constitutive nonlinearity, highlighting the strong impact of deformation-dependent permeability. We show that the wall thickness (thick versus thin) and the outer boundary condition (free versus constrained) play a central role in controlling the mechanics.
            Article 0 comments Cited 3 times – based on 0 reviews     Review now
              Bookmark
              All references

              Author and article information

              Journal
              Publication date Created: 07 February 2019
              Article
              ArXiV ID: 1902.02505
              SO-VID: fc1d446a-0283-49eb-8df3-dd51d1143825
              License:

              http://arxiv.org/licenses/nonexclusive-distrib/1.0/

              History
              Custom metadata
              Comments 5 pages, 3 figures
              Categories physics.flu-dyn

              ScienceOpen disciplines: Thermal physics & Statistical mechanics
              Data availability:
              ScienceOpen disciplines: Thermal physics & Statistical mechanics

              Comments

              Comment on this article