KUKU

KU ScholarWorks

  • myKU
  • Email
  • Enroll & Pay
  • KU Directory
    • Login
    View Item 
    •   KU ScholarWorks
    • Dissertations and Theses
    • Theses
    • View Item
    •   KU ScholarWorks
    • Dissertations and Theses
    • Theses
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Acid Transport Modeling Using Finite Element Discretization with Weak Formulation for Simulation of Acid Fracturing

    Thumbnail
    View/Open
    Available after: 2020-12-31 (2.549Mb)
    Issue Date
    2016-05-31
    Author
    Al Hubail, Mustafa Makki
    Publisher
    University of Kansas
    Format
    97 pages
    Type
    Thesis
    Degree Level
    M.S.
    Discipline
    Chemical & Petroleum Engineering
    Rights
    Copyright held by the author.
    Metadata
    Show full item record
    Abstract
    The purpose of designing an acid fracturing model is to examine the two factors that measure the effectiveness of the acid fracturing treatment. The two factors are the acid penetration distance and the fracture conductivity after closure stress is reached. The acid fracturing model is designed by coupling a fracture propagation model and an acid transport model. The advanced fracture propagation models are developed numerically by the finite element method (FEM,) or the extended finite element method (XFEM.) However, the acid transport models that are reported in the literature are developed using the finite difference method (FDM.) The finite element method is a more stable and accurate technique to model different types of complex and coupled physics than FDM. Furthermore, FEM is a more powerful and suitable technique for meshing sophisticated geometries such as fractures. Thus, an acid transport model has been developed numerically using the finite element method. The developed model solves the Navier-Stokes equations numerically to get the velocity profile. The acid balance equation is solved considering the convection and diffusion terms in all direction of the fracture and not only across the fracture. This model considers the thermal effect by solving the energy balance equation without neglecting the temperature gradient along the fracture length and height. The developed model predicts accurate acid penetration distance with a relative error of 0.3% compared to the analytical solution, and improves the predicted acid-etched width by more than 8% compared to the reported analytical solutions, which overestimate the acid-etched width because of no taking into account the effect of wormholes when calculating the total leak-off coefficient. Finally, the fracture conductivity, after fracture closure, has been estimated by using correlations.
    URI
    http://hdl.handle.net/1808/25761
    Collections
    • Engineering Dissertations and Theses [1055]
    • Theses [3827]

    Items in KU ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.


    We want to hear from you! Please share your stories about how Open Access to this item benefits YOU.


    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

    Browse

    All of KU ScholarWorksCommunities & CollectionsThis Collection

    My Account

    LoginRegister

    Statistics

    View Usage Statistics

    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

    The University of Kansas
      Contact KU ScholarWorks
    Lawrence, KS | Maps
     
    • Academics
    • Admission
    • Alumni
    • Athletics
    • Campuses
    • Giving
    • Jobs

    The University of Kansas prohibits discrimination on the basis of race, color, ethnicity, religion, sex, national origin, age, ancestry, disability, status as a veteran, sexual orientation, marital status, parental status, gender identity, gender expression and genetic information in the University’s programs and activities. The following person has been designated to handle inquiries regarding the non-discrimination policies: Director of the Office of Institutional Opportunity and Access, IOA@ku.edu, 1246 W. Campus Road, Room 153A, Lawrence, KS, 66045, (785)864-6414, 711 TTY.

     Contact KU
    Lawrence, KS | Maps