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    Self-Similar Solution in Problems of Hydraulic Fracturing

    Source: Journal of Applied Mechanics:;1990:;volume( 057 ):;issue: 004::page 877
    Author:
    N. C. Huang
    ,
    A. A. Szewczyk
    ,
    Y. C. Li
    DOI: 10.1115/1.2897655
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The problem of hydraulic fracturing in geological materials is investigated based on a model of the growth of a finite crack in an infinite and linearly elastic medium induced by fluid pressure. The fluid is injected into the crack through an injection well at the center of the crack. The surface of the crack is considered to be impermeable. Flow is present in the crack as the crack propagates. In this study, the fluid is considered to be inviscid and incompressible. Assumptions of a one-dimensional flow in the fracture and a plane-strain deformation of the medium are imposed. At the crack tip, the value of stress intensity factor is considered to be constant during crack propagation. Self-similarity is found in the solution. Crack length, crack profile, fluid pressure, and other related physical characteristics are evaluated as functions of time.
    keyword(s): Fracture (Process) , Fluid pressure , Flow (Dynamics) , Fluids , Injection wells , Stress , Deformation , Crack propagation , Functions AND Plane strain ,
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      Self-Similar Solution in Problems of Hydraulic Fracturing

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/106342
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    • Journal of Applied Mechanics

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    contributor authorN. C. Huang
    contributor authorA. A. Szewczyk
    contributor authorY. C. Li
    date accessioned2017-05-08T23:31:38Z
    date available2017-05-08T23:31:38Z
    date copyrightDecember, 1990
    date issued1990
    identifier issn0021-8936
    identifier otherJAMCAV-26328#877_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/106342
    description abstractThe problem of hydraulic fracturing in geological materials is investigated based on a model of the growth of a finite crack in an infinite and linearly elastic medium induced by fluid pressure. The fluid is injected into the crack through an injection well at the center of the crack. The surface of the crack is considered to be impermeable. Flow is present in the crack as the crack propagates. In this study, the fluid is considered to be inviscid and incompressible. Assumptions of a one-dimensional flow in the fracture and a plane-strain deformation of the medium are imposed. At the crack tip, the value of stress intensity factor is considered to be constant during crack propagation. Self-similarity is found in the solution. Crack length, crack profile, fluid pressure, and other related physical characteristics are evaluated as functions of time.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSelf-Similar Solution in Problems of Hydraulic Fracturing
    typeJournal Paper
    journal volume57
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2897655
    journal fristpage877
    journal lastpage881
    identifier eissn1528-9036
    keywordsFracture (Process)
    keywordsFluid pressure
    keywordsFlow (Dynamics)
    keywordsFluids
    keywordsInjection wells
    keywordsStress
    keywordsDeformation
    keywordsCrack propagation
    keywordsFunctions AND Plane strain
    treeJournal of Applied Mechanics:;1990:;volume( 057 ):;issue: 004
    contenttypeFulltext
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