Article

Parametric infinite element for seepage analysis

  1. Yusuke Honjo1,†,
  2. Gyaneswor Pokharel2,‡

Article first published online: 7 JUL 2005

DOI: 10.1002/nag.1610170104

Issue

International Journal for Numerical and Analytical Methods in Geomechanics

International Journal for Numerical and Analytical Methods in Geomechanics

Volume 17, Issue 1, pages 45–66, January 1993

Additional Information

How to Cite

Honjo, Y. and Pokharel, G. (1993), Parametric infinite element for seepage analysis. Int. J. Numer. Anal. Meth. Geomech., 17: 45–66. doi: 10.1002/nag.1610170104

Author Information

  1. 1

    Division of Geotechnical and Transportation Engineering, Asian Institute of Technology, P.O. Box 2754, Bangkok 10501, Thailand

  2. 2

    Department of Civil Engineering, Nagoya University, Nagoya, Japan

  1. †

    Associate Professor and Chairman

  2. ‡

    Doctoral Graduate Student (former Research Associate at AIT)

  1. †

    Associate Professor and Chairman

  2. ‡

    Doctoral Graduate Student (former Research Associate at AIT)

Publication History

  1. Issue published online: 7 JUL 2005
  2. Article first published online: 7 JUL 2005
  3. Manuscript Revised: 30 SEP 1992
  4. Manuscript Received: 27 MAY 1992

Funded by

  • The Japan International Co-operation Agency (JICA) (Environmental Geotechnical Problems in South-east Asia)

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Abstract

A set of mapping functions in the form of convergent series for an infinite element, which is capable to include the infinitely distanced constant head boundary condition from the area of disturbance (e.g. pumping), is proposed based on the asymptotic far-field behaviour of typical seepage flow problems. The derived mapping functions have been successfully used in three-dimensional point symmetric, two-dimensional axi-symmetric and one-dimensional unidirectional flow for the fixed head boundary at infinite distance. The result shows excellent agreement with analytical solution. For the first time, the mapping function of an infinite element is presented in the form of a convergent series. The infinite elements are really capable of reducing the cost and efficiency of conventional finite element analysis. Finally, a figure is also proposed to indicate the required size of the near field to obtain accurate drawdown at specified locations based on some calculations for two-dimensional radial flow case.

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