InterPore2018 New Orleans

Simulation of elasto-plastic phenomena in heterogeneous soils using the Virtual Element Method

17 May 2018, 12:45

15m

New Orleans

Poster MS 2.03: Challenges in flow and transport simulations in poro-fractured media: numerical methods and modeling Poster 4

Speaker

Andrea Borio (Politecnico di Torino)

Description

The three-dimensional version of the Virtual Element Method is a field under
great development, both from the theoretical point of view [1] and the im-
plementation aspects [2]. The simulation of the flow inside a poro-fractured
medium has been recently tackled using the Virtual Element Method in the
context of Discrete Fracture Networks [3–6]. Here we consider the threatment
of non linear elasto-plastic phenomena with such method, with particular focus
on phenomena occurring within heterogenous poro-fractured soils with faults,
generated by petrol related operations such has the introduction of wells that
modify the pressure distribution in the subsoil. Virtual Elements are used in
order to simplify the meshing process in the presence of complex geometries,
allowing the use of generally shaped polyhedra.

References

[1] L. Beirão Da Veiga, C. Lovadina, and A. Russo. “Stability analysis for the virtual element method”. English. In: Mathematical Models and Methods in Applied Sciences 27.13 (2017), pp. 2557–2594.
[2] L. Beirão da Veiga et al. “Serendipity Virtual Elements on Polyhedral Meshes”. In: ArXiv e-prints (Oct. 2017). arXiv: 1710.01161 [math.NA].
[3] M. F. Benedetto, S. Berrone, and A. Borio. “The Virtual Element Method for underground flow simulations in fractured media”. In: Advances in Discretization Methods. Vol. 12. SEMA SIMAI Springer Series. Switzerland: Springer International Publishing, 2016, pp. 167–186. doi: 10.1007/978-
3-319-41246-7_8.
[4] M.F. Benedetto, S. Berrone, and S. Scialò. “A Globally Conforming Method For Solving Flow in Discrete Fracture Networks using the Virtual Element Method”. In: Finite Elem. Anal. Des. 109 (2016), pp. 23–36. doi: 10.1016/j.finel.2015.10.003.
[5] M.F. Benedetto et al. “A Hybrid Mortar Virtual Element Method For Discrete Fracture Network Simulations”. In: J. Comput. Phys. 306 (2016), pp. 148–166. doi: 10.1016/j.jcp.2015.11.034.
[6] Matı́as Fernando Benedetto, Andrea Borio, and Stefano Scialò. “Mixed Virtual Elements for Discrete Fracture Network simulations”. In: Finite Elements in Analysis & Design 134 (2017), pp. 55–67. doi: 10.1016/j.finel.2017.05.011.