{
  "id": "1211.6222",
  "version": "v2",
  "published": "2012-11-27T07:09:33.000Z",
  "updated": "2012-12-05T08:00:15.000Z",
  "title": "Homogenization of a Double Porosity Model In Deformable Media",
  "authors": [
    "Abdelhamid Ainouz"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "The paper addresses the homogenization of a family of micro-models for the flow of a slightly compressible fluid in a poroelastic matrix containing periodically distibuted poroelastic inclusions, with low permeabilities and with imperfect contact on the interface. The micro-models are based on Biot's system for consolidation processes in each phase, with interfacial barrier formulation. Using the two-scale convergence technique, it is shown that the derived system is a general model of that proposed by Aifantis, plus an extra memory term.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-05T08:00:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B27",
      "74Q05",
      "76M50"
    ],
    "keywords": [
      "double porosity model",
      "deformable media",
      "periodically distibuted poroelastic inclusions",
      "homogenization",
      "containing periodically distibuted poroelastic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.6222A"
    }
  }
}