Poroelastic medium with non-penetrating crack driven by hydraulic fracture: Variational inequality and its semidiscretization Full article
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Journal of Computational and Applied Mathematics
ISSN: 0377-0427 |
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| Output data | Year: 2022, Volume: 405, Article number : 113953, Pages count : DOI: 10.1016/j.cam.2021.113953 | ||||
| Tags | Contact; Elliptic–parabolic problem; Hydraulic fracturing; Poroelasticity; Rothe's MOL; Well-posedness analysis | ||||
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Abstract:
A new class of unilateral variational models appearing in the theory of poroelasticity is introduced and studied. A poroelastic medium consists of solid phase and pores saturated with a Newtonian fluid. The medium contains a fluid-driven crack, which is subjected to non-penetration between the opposite crack faces. The fully coupled poroelastic system includes elliptic–parabolic governing equations under the unilateral constraint. Well-posedness of the corresponding variational inequality is established based on the Rothe semi-discretization in time, after subsequent passing time step to zero. The NLCP-formulation of non-penetration conditions is given which is useful for a semi-smooth Newton solution strategy.
Cite:
Kovtunenko V.A.
Poroelastic medium with non-penetrating crack driven by hydraulic fracture: Variational inequality and its semidiscretization
Journal of Computational and Applied Mathematics. 2022. V.405. 113953 . DOI: 10.1016/j.cam.2021.113953 WOS Scopus РИНЦ OpenAlex
Poroelastic medium with non-penetrating crack driven by hydraulic fracture: Variational inequality and its semidiscretization
Journal of Computational and Applied Mathematics. 2022. V.405. 113953 . DOI: 10.1016/j.cam.2021.113953 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000789646800008 |
| Scopus: | 2-s2.0-85120957634 |
| Elibrary: | 47542322 |
| OpenAlex: | W3217668459 |