A Hybrid High-Order method for multiple-network poroelasticity
| Autor: | Lorenzo Alessio Botti, Michele Botti, Daniele Antonio Di Pietro |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Computer science
Poromechanics Discontinuous Galerkin methods 010103 numerical & computational mathematics Weak formulation 01 natural sciences poroelasticity Settore MAT/08 - Analisi Numerica Polytopal methods inf-sup condition Applied mathematics Point (geometry) 0101 mathematics Hybrid High-Order methods fissured media polyhedral meshes ComputingMethodologies_COMPUTERGRAPHICS Variable (mathematics) Multi-network poroelasticity Degenerate energy levels Barenblatt-Biot equations Erosion (morphology) 010101 applied mathematics Fracture (geology) Settore ING-IND/06 - Fluidodinamica Porous medium |
| Zdroj: | SEMA SIMAI Springer Series: Polyhedral Methods in Geosciences Polyhedral Methods in Geosciences ISBN: 9783030693626 SEMA SIMAI Springer Series SEMA SIMAI Springer Series-Polyhedral Methods in Geosciences |
| ISSN: | 2199-3041 2199-305X |
| Popis: | We develop Hybrid High-Order methods for multiple-network poroelasticity, modelling seepage through deformable fissured porous media. The proposed methods are designed to support general polygonal and polyhedral elements. This is a crucial feature in geological modelling, where the need for general elements arises, e.g., due to the presence of fracture and faults, to the onset of degenerate elements to account for compaction or erosion, or when nonconforming mesh adaptation is performed. We use as a starting point a mixed weak formulation where an additional total pressure variable is added, that ensures the fulfilment of a discrete inf-sup condition. A complete theoretical analysis is performed, and the results are demonstrated on a panel of numerical tests. |
| Databáze: | OpenAIRE |
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