Boundary Elements in Groundwater Flow Problems

  • L. C. Wrobel
  • C. A. Brebbia
Conference paper
Part of the NATO Advanced Study Institutes Series book series (ASIC, volume 92)

Abstract

The present work deals with applications of the Boundary Element Method to several groundwater flow problems. Steady and transient cases are discussed; two-dimensional, axisymmetric and fully three-dimensional problems considered; it is also shown how features like orthotropy and anisotropy, piecewise homogeneous regions and semi-infinite regions can be included in the analysis. Several numerical examples are studied in order to show the wide range of groundwater flow problems which can be efficiently solved using the Boundary Element Method.

Keywords

Permeability Anisotropy Dition Cose Geomechanics 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    M. A. Jaswon and G. T. Symm, Integral Equation Methods in Potential Theory and Elastostatics, Academic Press, London, 1977.Google Scholar
  2. 2.
    C. A. Brebbia, The Boundary Element Method for Engineers, Pentech Press, London, 19 78.Google Scholar
  3. 3.
    C. A. Brebbia and S. Walker, Boundary Element Techniques in Engineering, Newnes-Butterworths, London, 1980.Google Scholar
  4. 4.
    T. A. Cruse and F. J. Rizzo (eds.), Boundary Integral Equation Method: Computational Applications in Applied Mechanics, ASME, AMD-11, New York, 1975.Google Scholar
  5. 5.
    T. A. Cruse, J. C. Lachat, F. J. Rizzo and R. P. Shaw (eds.), First Int. Symp. on Innovative Numerical Analysis in Applied Engineering Science, CETIM, Versailles, 1977.Google Scholar
  6. 6.
    C. A. Brebbia (ed.), Recent Advances in Boundary Element Methods, Pentech Press, London 1978.Google Scholar
  7. 7.
    P. K. Banerjee and R. Butterfield (eds.), Developments in Boundary Element Methods, Applied Science Publishers, London, 1979.Google Scholar
  8. 8.
    C. A. Brebbia (ed.), New Developments in Boundary Element Methods, C.M.L. Publications, Southampton, 1980.Google Scholar
  9. 9.
    R. P. Shaw et al. (eds.), Innovative Numerical Analysis for the Engineering Sciences, University Press of Virginia, Charlotesvilie, 1980.Google Scholar
  10. 10.
    C. A. Brebbia (ed.), Progress in Boundary Elements, Vol. 1, Pentech Press, London, 1981.Google Scholar
  11. 11.
    C. A. Brebbia (ed.), Boundary Element Methods, Springer-Verlag, Heidelberg, 1981.Google Scholar
  12. 12.
    O. D. Kellogg, Foundations of Potential Theory, Springer-Verlag, Berlin, 1929.Google Scholar
  13. 13.
    L. C. Wrobel and C. A. Brebbia, Axisymmetric Potential Problems, in [8].Google Scholar
  14. 14.
    Y. P. Chang, C. S. Kang and D. J. Chen, The use of Fundamental Green’s Functions for the Solution of Problems of Heat Conduction in Anisotropic Media, Int. J. Heat Mass Transfer, Vol. 16, pp. 1905–1918, 1973.CrossRefGoogle Scholar
  15. 15.
    L. C. Wrobel and C. A. Brebbia, Boundary Elements in Thermal Problems, Chapter 5 in Numerical Methods in Heat Transfer, R. W. Lewis, K. Morgan and 0. C. Zienkiewicz (eds.), J. Wiley, Chichester, 1981.Google Scholar
  16. 16.
    L. C. Wrobel and C. A. Brebbia, Time-dependent Potential Problems, Chapter 6 in [lO].Google Scholar
  17. 17.
    L. C. Wrobel, Potential and Viscous Flow Problems using the Boundary Element Method, Ph.D. Thesis, Southampton University, 1981.Google Scholar
  18. 18.
    P. M. Morse and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, New York, 1953.Google Scholar
  19. 19.
    H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd edn, Clarendon Press, Oxford, 1959.Google Scholar
  20. 20.
    L. C. Wrobel and C. A. Brebbia, A Formulation of the Boundary Element Method for Axisymmetric Transient Heat Conduction, Int. J. Heat Mass Transfer, Vol. 24, pp. 843–850, 1981.CrossRefGoogle Scholar
  21. 21.
    W. L. Wood, On the Finite Element Solution of an Exterior Boundary-value Problem, Int. J. Num. Meth. Engng, Vol. 10, pp. 885–891, 1976.CrossRefGoogle Scholar
  22. 22.
    O. V. Chang, Boundary Elements Applied to Seepage Problems in Zoned Anisotropic Soils, M.Sc. Thesis, Southampton University, 19 79.Google Scholar
  23. 23.
    C. A. Brebbia and L. C. Wrobel, Steady and Unsteady Potential Problems using the Boundary Element Method, Chapter 1 in Recent Advances in Numerical Methods in Fluids, C. Taylor and K. Morgan (eds.), Pineridge Press, Swansea, 1980.Google Scholar

Copyright information

© D. Reidel Publishing Company 1982

Authors and Affiliations

  • L. C. Wrobel
    • 1
  • C. A. Brebbia
    • 1
  1. 1.Computational Mechanics CentreSouthamptonEngland

Personalised recommendations