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    Modeling Turbulent Hydraulic Fracture Near a Free Surface

    Source: Journal of Applied Mechanics:;2012:;volume( 079 ):;issue: 003::page 31003
    Author:
    Victor C. Tsai
    ,
    James R. Rice
    DOI: 10.1115/1.4005879
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Motivated by observations of the subglacial drainage of water, we consider a hydraulic fracture problem in which the crack grows parallel to a free surface, subject to fully turbulent fluid flow. Using a hybrid Chebyshev/series-minimization numerical approach, we solve for the pressure profile, crack opening displacement, and crack growth rate for a crack that begins relatively short but eventually becomes long compared with the distance to the free surface. We plot nondimensionalized results for a variety of different times, corresponding with different fracture lengths, and find substantial differences when free-surface effects are important.
    keyword(s): Turbulence , Fracture (Process) , Modeling , Pressure , Equations , Drainage , Water , Fluid dynamics AND Displacement ,
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      Modeling Turbulent Hydraulic Fracture Near a Free Surface

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    https://yetl.yabesh.ir/yetl1/handle/yetl/148087
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    contributor authorVictor C. Tsai
    contributor authorJames R. Rice
    date accessioned2017-05-09T00:48:04Z
    date available2017-05-09T00:48:04Z
    date copyrightMay, 2012
    date issued2012
    identifier issn0021-8936
    identifier otherJAMCAV-26818#031003_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/148087
    description abstractMotivated by observations of the subglacial drainage of water, we consider a hydraulic fracture problem in which the crack grows parallel to a free surface, subject to fully turbulent fluid flow. Using a hybrid Chebyshev/series-minimization numerical approach, we solve for the pressure profile, crack opening displacement, and crack growth rate for a crack that begins relatively short but eventually becomes long compared with the distance to the free surface. We plot nondimensionalized results for a variety of different times, corresponding with different fracture lengths, and find substantial differences when free-surface effects are important.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleModeling Turbulent Hydraulic Fracture Near a Free Surface
    typeJournal Paper
    journal volume79
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4005879
    journal fristpage31003
    identifier eissn1528-9036
    keywordsTurbulence
    keywordsFracture (Process)
    keywordsModeling
    keywordsPressure
    keywordsEquations
    keywordsDrainage
    keywordsWater
    keywordsFluid dynamics AND Displacement
    treeJournal of Applied Mechanics:;2012:;volume( 079 ):;issue: 003
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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