v7.31.114 WTNV114 - Water flow on a saturated porous medium

Summary:

The hydraulic behavior of a saturated porous medium is studied. Nine models are carried out: two two-dimensional models (models A and B) and seven three-dimensional models (models C, D, E, F, F, F, G, G, H, I).

The distinction between the models lies in the law of fluid behavior (LIQU_SATU for the A, C, G, H, I and LIQU_GAZ_ATM for the B, D, E, F models).

This test consists in applying a water flow to the upper face of the model and in studying the effect of this flow on the distribution of fluid pressure in the saturated medium. It is an evolving problem.

The first eight models studied are 2D planes (HM_DPQ8) and 3D volumes (HM_HEXA20 or HM_PYRAM13) with linear behavior. The latest model is HM-XFEM.

The reference solution is one-dimensional because it only depends on the vertical coordinate.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
  • 1.4. Initial conditions
• 2. Benchmark solution
  • 2.1. Calculation method
  • 2.2. Reference quantities and results
  • 2.3. Uncertainties about the solution
  • 2.4. Bibliographical references
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Quantities and tested results
• 4. B modeling
• 5. C modeling
• 6. D modeling
• 7. E modeling
• 8. F modeling
• 9. G modeling
  • 9.1. Characteristics of modeling
  • 9.2. Characteristics of the mesh
  • 9.3. The cube is composed of a HEXA20.
  • 9.4. Tested sizes and results
• 10. H modeling
  • 10.1. Characteristics of modeling
  • 10.2. Characteristics of the mesh
  • 10.3. Tested sizes and results
• 11. Modeling I
  • 11.1. Characteristics of modeling
  • 11.2. Characteristics of the mesh
  • 11.3. The same boundary conditions are applied as in modeling G. In this modeling, the edge elements located on the upper and lower faces of the cube and on which the boundary conditions are applied are edge elements HM- XFEMnon that conform to the crack. They are then cut into sub-elements so as to be compatible with the crack. No load is applied to the crack.
  • 11.4. Quantities and tested results
• 12. Summary of results