An Analytic Element Model for Seepage Forces in Fractured Media

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 wit...

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Bibliographic Details
Published in:Journal of elasticity 2024, Vol.156 (3), p.681-699
Main Authors: Toller, Erik A. L., Strack, Otto D. L.
Format: Article
Language:English
Subjects:
Anlaytic element method
Biomechanics
Classical and Continuum Physics
Classical Mechanics
complex variables
Elastic analysis
Elastic limit
Elastic media
Engineering
Equilibrium flow
fracture
Fractures
Groundwater flow
Materials Science
Mathematical Applications in the Physical Sciences
Numerical models
Seepage
seepage force
Theoretical and Applied Mechanics
tunnel
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Summary: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.
ISSN:0374-3535
1573-2681
1573-2681
DOI:10.1007/s10659-024-10069-6