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 language | English (US) |
|---|---|
| Pages (from-to) | 681-699 |
| Number of pages | 19 |
| Journal | Journal of Elasticity |
| Volume | 156 |
| Issue number | 3 |
| DOIs | |
| State | Published - Oct 2024 |
| Externally published | Yes |
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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