3. Modeling A#
3.1. Characteristics of modeling#
This is a D_ PLAN_HM modeling using quadratic HM- XFEM elements.
3.2. Characteristics of the mesh#
The block on which the modeling is performed is divided into 25 QUAD8.
3.3. Tested sizes and results#
We test the value of the vertical movements for the nodes \(B\), \(C\) and \(D\) on both sides of the interface. The tolerance is set to \({10}^{-6}\). These values are summarized in the table below:
Quantities tested |
Reference type |
Reference value |
Tolerance |
DY (node B below) |
“ANALYTIQUE” |
-6.251724137931E-3 |
1, E-06 |
DY (node B above) |
“ANALYTIQUE” |
1.0210344827586E-2 |
1, E-06 |
DY (node C below) |
“ANALYTIQUE” |
-5.575862068966E-3 |
1, E-06 |
DY (node C above) |
“ANALYTIQUE” |
2.813793103448E-3 |
1, E-06 |
DY (node D below) |
“ANALYTIQUE” |
-2.8137931034482E-3 |
1, E-06 |
DY (node D above) |
“ANALYTIQUE” |
5.34827586206896E-3 |
1, E-06 |
3.4. notes#
The displacement field was also post-processed in the direction \(y\) (Figure) using SALOME.
We can then observe (from the Figure) a clear discontinuity in the field of movements linked to the presence of interfaces crossing the massif. This suggests that enrichment has been taken into account when approximating the displacement field, including at the interface junction level.

Figure 3.4-a : Field of movement by direction (Oy)
Finally, the pore pressure field \(p\) (Figure) was post-treated using SALOME. Again, a clear discontinuity is observed at the level of the interfaces separating the blocks. The pore pressure is very constant in each of the blocks.

Figure 3.4-b : Pore pressure field