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    Poromechanics Solutions to Plane Strain and Axisymmetric Mandel-Type Problems in Dual-Porosity and Dual-Permeability Medium

    Source: Journal of Applied Mechanics:;2010:;volume( 077 ):;issue: 001::page 11002
    Author:
    Vinh X. Nguyen
    ,
    Younane N. Abousleiman
    DOI: 10.1115/1.3172146
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The two-dimensional Mandel-type problem geometry is well-known to bio-geomechanicians for testing rocks, cartilages, and bones with solutions in Cartesian coordinates for rectangular specimens or polar coordinates for cylindrical and disk samples. To date, all existing solutions are only applicable to single-porosity and single-permeability models, which could fall short when the porous material exhibits multiporosity and/or multipermeability characteristics, such as secondary porosity or fracture. This paper extends the plane strain and axisymmetric Mandel-type solutions from single-to dual-porosity and dual-permeability poromechanics. The solutions are presented in explicit analytical forms and account for arbitrary time-dependent external loading conditions, e.g., cyclic and ramping. The derived analytical solutions and results exhibit general behaviors characterized by two time scales. Stresses, pore pressures, and displacements are plotted for various time scale ratios to illustrate the interplaying effects of permeability and stiffness contrast of both porous regions, in addition to the interporosity exchange, on the overall responses of the system. Also, examples with realistic loading conditions for laboratory testing or field simulation such as cyclic and ramping are provided to demonstrate the engineering applications of the presented dual-poroelastic formulation and solutions.
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      Poromechanics Solutions to Plane Strain and Axisymmetric Mandel-Type Problems in Dual-Porosity and Dual-Permeability Medium

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    contributor authorVinh X. Nguyen
    contributor authorYounane N. Abousleiman
    date accessioned2017-05-09T00:36:20Z
    date available2017-05-09T00:36:20Z
    date copyrightJanuary, 2010
    date issued2010
    identifier issn0021-8936
    identifier otherJAMCAV-26774#011002_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/142469
    description abstractThe two-dimensional Mandel-type problem geometry is well-known to bio-geomechanicians for testing rocks, cartilages, and bones with solutions in Cartesian coordinates for rectangular specimens or polar coordinates for cylindrical and disk samples. To date, all existing solutions are only applicable to single-porosity and single-permeability models, which could fall short when the porous material exhibits multiporosity and/or multipermeability characteristics, such as secondary porosity or fracture. This paper extends the plane strain and axisymmetric Mandel-type solutions from single-to dual-porosity and dual-permeability poromechanics. The solutions are presented in explicit analytical forms and account for arbitrary time-dependent external loading conditions, e.g., cyclic and ramping. The derived analytical solutions and results exhibit general behaviors characterized by two time scales. Stresses, pore pressures, and displacements are plotted for various time scale ratios to illustrate the interplaying effects of permeability and stiffness contrast of both porous regions, in addition to the interporosity exchange, on the overall responses of the system. Also, examples with realistic loading conditions for laboratory testing or field simulation such as cyclic and ramping are provided to demonstrate the engineering applications of the presented dual-poroelastic formulation and solutions.
    publisherThe American Society of Mechanical Engineers (ASME)
    titlePoromechanics Solutions to Plane Strain and Axisymmetric Mandel-Type Problems in Dual-Porosity and Dual-Permeability Medium
    typeJournal Paper
    journal volume77
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3172146
    journal fristpage11002
    identifier eissn1528-9036
    treeJournal of Applied Mechanics:;2010:;volume( 077 ):;issue: 001
    contenttypeFulltext
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