An Analytic Element Model for Seepage Forces in Fractured Media

Erik A.L. Toller, Otto D.L. Strack

Research output: Contribution to journalArticlepeer-review

Abstract

There are many situations where groundwater flow has high flow rates, causing large seepage forces. Examples are flows around highly conductive fractures and tunnels. We present a new analytic element for a tunnel in an elastic medium. We combined the analytic element method for groundwater flow with that for linear elasticity, and include the seepage force as a body force in the linearly elastic model. We represent tunnels and fractures as analytic elements. The solution for the case considered is limited to steady state flow and fluid-to-solid coupling. We present examples of the computed seepage forces around a tunnel and a fracture as well as a comparison with another numerical model.

Original languageEnglish (US)
Pages (from-to)681-699
Number of pages19
JournalJournal of Elasticity
Volume156
Issue number3
DOIs
StatePublished - Oct 2024
Externally publishedYes

Bibliographical note

Publisher Copyright:
© The Author(s) 2024.

Keywords

  • 30C20
  • 30K15
  • 74B05
  • Analytic element method
  • Complex variables
  • Fractures
  • Linear elasticity
  • Seepage forces
  • Tunnels

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