2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics

2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics

1st Edition - November 17, 2020

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  • Editor: Nobuo Morita
  • eBook ISBN: 9780128238394
  • Paperback ISBN: 9780128238257

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2D/3D Boundary Element Programming in Petroleum Engineering and Geomechanics, Volume 72, is designed to make it easy for researchers, engineers and students to begin writing boundary element programs. This reference covers the fundamentals, theoretical developments, programming and applications. Both fluid flow through porous media and structural problems are used for coding exercises. Included computer programs may be used as starting codes; after modifications, they can be applied to real world problems. The book covers topics around mesh generation, 3D boundary element coding, and interface coding for controlling mesh generation, and plotting results.

Key Features

  • Includes interactive 2D and 3D coding exercises that readers can modify based on need
  • Features research on the most recent developments in indirect and dual boundary element methods
  • Contains case studies showing examples and applications of the theories presented in the book


Petroleum geologists and engineers; graduate students in petroleum geology and engineering. Oil and gas industry professionals

Table of Contents

  • Fundamentals
    1. Fundamental elasticity equations
    2. Flow through porous media
    3. Tensor notation or index notation
    4. Fundamental solutions

    Theoretical development
    5. Boundary element methods
    6. Discretization of integral equations
    7. Numerical integration
    8. System of linear equations
    9. Discretization of the system of equations for fluid flow through porous media

    10. 2D structure code (Direct BEM) with stiffness matrix without numerical integration
    11. 2D Structure code (Direct BEM) with stiffness matrix with numerical integration
    12. 2D Discontinuous Boundary Element Method (DDM) suitable for crack problems
    13. 2D transient flow program using time dependent fundamental solution
    14. 3D boundary element code (Direct BEM) for solid elasticity problems
    15. Analytical 3D displacement discontinuous method: Stress shadow induced by movement of fault planes and fracture opening
    16. 3D static fracture model using the dual boundary element method    
    17. 3D fracture propagation code coupled with 2D finite element flow and 3D fracture code (DDM)
    18. Interface program, and mesh generation program

Product details

  • No. of pages: 478
  • Language: English
  • Copyright: © Elsevier 2020
  • Published: November 17, 2020
  • Imprint: Elsevier
  • eBook ISBN: 9780128238394
  • Paperback ISBN: 9780128238257

About the Editor

Nobuo Morita

Nobuo Morita is a professor at the Harold Vance Department of Petroleum Engineering, Texas A&M University, College Station, Texas. He teaches courses on boundary element methods for application to petroleum engineering problems, non-linear mechanics and finite element methods for geomechanics. He is a supervising professor of the Texas A&M Geomechanics Joint Industry Project. He holds sand control, borehole stability and hydraulic fracturing workshops twice per year around the world and has provided consulting services in major oil companies around the world. He was previously employed by ConocoPhillips for 14 years.

Affiliations and Expertise

Professor, Texas A&M University, USA

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