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    Variational Principles for Hydraulic Fracturing

    Source: Journal of Applied Mechanics:;1992:;volume( 059 ):;issue: 004::page 819
    Author:
    S. H. Advani
    ,
    R. H. Dean
    ,
    T. S. Lee
    DOI: 10.1115/1.2894048
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A new application of an energy rate variational principle for hydraulic fracturing processes is introduced. The formation structural, fracture mechanics, and fracture fluid flow responses are integrally coupled in this treatment. This unified principle, with various specialized forms, provides a formal framework for the study of continuum as well as discrete models. The applicability of the developed formulations is demonstrated by deriving time-explicit solutions for a penny-shaped model and comparing numerical results with corresponding responses from Lagrangian and finite element methods.
    keyword(s): Variational principles , Fracture (Process) , Finite element methods , Fluid dynamics AND Fracture mechanics ,
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      Variational Principles for Hydraulic Fracturing

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/109610
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    contributor authorS. H. Advani
    contributor authorR. H. Dean
    contributor authorT. S. Lee
    date accessioned2017-05-08T23:37:20Z
    date available2017-05-08T23:37:20Z
    date copyrightDecember, 1992
    date issued1992
    identifier issn0021-8936
    identifier otherJAMCAV-26345#819_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/109610
    description abstractA new application of an energy rate variational principle for hydraulic fracturing processes is introduced. The formation structural, fracture mechanics, and fracture fluid flow responses are integrally coupled in this treatment. This unified principle, with various specialized forms, provides a formal framework for the study of continuum as well as discrete models. The applicability of the developed formulations is demonstrated by deriving time-explicit solutions for a penny-shaped model and comparing numerical results with corresponding responses from Lagrangian and finite element methods.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleVariational Principles for Hydraulic Fracturing
    typeJournal Paper
    journal volume59
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2894048
    journal fristpage819
    journal lastpage826
    identifier eissn1528-9036
    keywordsVariational principles
    keywordsFracture (Process)
    keywordsFinite element methods
    keywordsFluid dynamics AND Fracture mechanics
    treeJournal of Applied Mechanics:;1992:;volume( 059 ):;issue: 004
    contenttypeFulltext
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