The Principal Direction Technique: A New Approach to Groundwater Contaminant Transport Modeling

  • E. O. Frind


The problem of contaminant transport in long thin hydrogeologic systems is investigated and a new simulation technique based on Galerkin finite elements, but formulated in terms of the principal directions of transport and structured as an alternating direction solution scheme, is applied. It is shown that the new technique is both more accurate and more efficient than the conventional finite element technique. The accuracy is unaffected by an extreme geometric aspect ratio or a large contrast between the physical parameters in different directions.


Principal Direction Source Function Numerical Dispersion Contaminant Plume Transverse Profile 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Cleary, R. W. (1978), Analytical Models for Groundwater Pollution and Hydrology. Report 78-WR-15, Dept. of Civil Engineering, Princeton University, Princeton N.J.Google Scholar
  2. Frind, E. 0. (1980), Seawater Intrusion in Continuous Coastal Aquifer-Aquitard Systems. Proceedings of the Third International Conference on Finite Elements in Water Resources, The University of Mississippi, University, Miss.Google Scholar
  3. Frind, E. 0. and G. F. Pinder (1982), The Principal Direction Technique for Solution of the Advection-Dispersion Equation. Proceedings, Tenth IMACS World Congress, Concordia University, Montreal, Canada.Google Scholar
  4. Kimmel, A. E. and 0. C. Braids (1980), Leachate Plumes in Groundwater from Babylon and Islip Landfills, Long Island, New York. U.S. Geological Survey Professional Paper 1085.Google Scholar
  5. MacFarlane, D. S., J. A. Cherry, R. W. Gillham and E. A. Sudicky (1982), Hydrogeological Studies of a Sandy Aquifer at an Abandoned Landfill: 1. Groundwater Flow and Plume Delineation. J. of Hydrology, accepted for publication.Google Scholar
  6. Peaceman, D. W. and H. H. Rachford (1955), The Numerical Solution of Parabolic and Elliptic Differential Equations. SIAM J. 3: 28–41.Google Scholar
  7. Peaceman, D. W. (1977), Fundamentals of Reservoir Simulation. Developments in Petroleum Science 6, Elsevier Publ. Co., New York.Google Scholar
  8. Pinder, G. F. (1973), A Galerkin-Fini to Element Simulation of Groundwater Contamination on Long Isl and, New York. Water Res. Research, 9, 3: 1657–1669.CrossRefGoogle Scholar
  9. Pinder, G. F. and W. G. Gray (1977), Finite Element Simulation in Surface and Subsurface Hydrol ogy. Academic Press, New York.Google Scholar
  10. Shamir, U. Y. and D. R. F. Harleman (1966), Numerical and Analytical Solutions of Dispersion Problems in Homogeneous and Layered Aquifers. Report No. 89, Dept. of Civil Engineer-ing, Mass. Institute of Technology, Cambridge, Mass.Google Scholar
  11. Shamir, U. Y. and D. R. F. Harleman (1967), Numerical Solutions for Dispersion in Porous Mediums. Water Res. Research, 3, 2: 557–581.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  • E. O. Frind
    • 1
  1. 1.Department of Earth SciencesUniversity of WaterlooWaterlooCanada

Personalised recommendations