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    Three-Dimensional Modeling of Hydraulic Fractures in Layered Media: Part I—Finite Element Formulations

    Source: Journal of Energy Resources Technology:;1990:;volume( 112 ):;issue: 001::page 1
    Author:
    S. H. Advani
    ,
    T. S. Lee
    ,
    J. K. Lee
    DOI: 10.1115/1.2905706
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A comprehensive model represented by a set of equations governing the mechanics of planar hydraulic fracture propagation in a multi-layered reservoir is presented. A general-purpose integral formulation for the formation elasticity is developed along with a numerical scheme for mode I fracture response evaluation of an arbitrarily shaped planar pressurized crack in a layered medium. Non-Newtonian fluid flow in the hydraulically induced fracture is governed by a two-dimensional nonlinear partial differential equation. Finite element formulations for the governing equations as well as calibrative examples illustrating the computational features of the model are presented. Numerical schemes for determining the moving fracture front and coupling of the fluid flow and structural/fracture responses are also developed.
    keyword(s): Finite element analysis , Fracture (Process) , Three-dimensional modeling , Equations , Partial differential equations , Fluid dynamics , Flow (Dynamics) , Elasticity , Reservoirs AND Non-Newtonian fluids ,
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      Three-Dimensional Modeling of Hydraulic Fractures in Layered Media: Part I—Finite Element Formulations

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/106847
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    • Journal of Energy Resources Technology

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    contributor authorS. H. Advani
    contributor authorT. S. Lee
    contributor authorJ. K. Lee
    date accessioned2017-05-08T23:32:31Z
    date available2017-05-08T23:32:31Z
    date copyrightMarch, 1990
    date issued1990
    identifier issn0195-0738
    identifier otherJERTD2-26431#1_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/106847
    description abstractA comprehensive model represented by a set of equations governing the mechanics of planar hydraulic fracture propagation in a multi-layered reservoir is presented. A general-purpose integral formulation for the formation elasticity is developed along with a numerical scheme for mode I fracture response evaluation of an arbitrarily shaped planar pressurized crack in a layered medium. Non-Newtonian fluid flow in the hydraulically induced fracture is governed by a two-dimensional nonlinear partial differential equation. Finite element formulations for the governing equations as well as calibrative examples illustrating the computational features of the model are presented. Numerical schemes for determining the moving fracture front and coupling of the fluid flow and structural/fracture responses are also developed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThree-Dimensional Modeling of Hydraulic Fractures in Layered Media: Part I—Finite Element Formulations
    typeJournal Paper
    journal volume112
    journal issue1
    journal titleJournal of Energy Resources Technology
    identifier doi10.1115/1.2905706
    journal fristpage1
    journal lastpage9
    identifier eissn1528-8994
    keywordsFinite element analysis
    keywordsFracture (Process)
    keywordsThree-dimensional modeling
    keywordsEquations
    keywordsPartial differential equations
    keywordsFluid dynamics
    keywordsFlow (Dynamics)
    keywordsElasticity
    keywordsReservoirs AND Non-Newtonian fluids
    treeJournal of Energy Resources Technology:;1990:;volume( 112 ):;issue: 001
    contenttypeFulltext
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