Paper Info
Title
Splitting schemes with respect to physical processes for double-porosity poroelasticity problems.
Abstract
We consider unsteady poroelasticity problem in fractured porous medium within the classical Barenblatt double-porosity model. For numerical solution of double-porosity poroelasticity problems we construct splitting schemes with respect to physical processes, where transition to a new time level is associated with solving separate problem for the displacements and fluid pressures in pores and fractures. The stability of schemes is achieved by switching to three-level explicit-implicit difference scheme with some of the terms in the system of equations taken from the lower time level and by choosing a weight parameter used as a regularization parameter. The computational algorithm is based on the finite element approximation in space. The investigation of stability of splitting schemes is based on the general stability (well-posedness) theory of operator-difference schemes. A priori estimates for proposed splitting schemes and the standard two-level scheme are provided. The accuracy and stability of considered schemes are demonstrated by numerical experiments.
Year
DOI
Venue
2016
10.1515/rnam-2017-0009
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING
Keywords
Field
DocType
Poroelasticity,double-porosity,operator-difference schemes,splitting scheme,regularization
Mathematical optimization,Porosity,System of linear equations,Mathematical analysis,A priori and a posteriori,Finite element method,Regularization (mathematics),Poromechanics,Porous medium,Flux limiter,Mathematics
Journal
Volume
Issue
ISSN
32
2
0927-6467
Citations 
PageRank 
References 
2
0.51
0
Authors
2
Name
Order
Citations
PageRank
Alexander E. Kolesov120.85
Petr N. Vabishchevich23727.46