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Operator Splitting for Two-phase Flow in Porous Media

  • Author / Creator
    Khajeh Alijani, Maryam
  • This thesis studies operator splitting for flow equation coupled to a transport equation arising from two-phase (water-oil) model in reservoir simulation. We apply two different types of operator splittings and compare their accuracies. Summarized scheme and alternating triangle method (ATM) in iterative fashion are used in the time discretization. Both schemes are unconditionally stable but the latter is only conditionally consistent. We propose two types of ATM scheme, modified ATM iterative scheme and preconditioned iterative ATM. In the former, we modify the method by adding a correction term to improve the convergence of the modified ATM iterative scheme and the numerical results show that the order of convergence is increased by one. The methods are validated by reporting experimental results for a benchmark data model. Numerical results indicate better accuracy and more reliable solution using summarized scheme compared to ATM schemes.

  • Subjects / Keywords
  • Graduation date
    2017-11:Fall 2017
  • Type of Item
    Thesis
  • Degree
    Master of Science
  • DOI
    https://doi.org/10.7939/R3TX35M3B
  • License
    This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
  • Language
    English
  • Institution
    University of Alberta
  • Degree level
    Master's
  • Department
    • Department of Mathematical and Statistical Sciences
  • Specialization
    • Applied Mathematics
  • Supervisor / co-supervisor and their department(s)
    • Minev, Peter D. (Mathematical and Statistical Sciences)
  • Examining committee members and their departments
    • Secanell Gallart, Marc (Mechanical Engineering)
    • Han, Bin (Mathematical and Statistical Sciences)
    • Wong, Yau Shu (Mathematical and Statistical Sciences)