[HTML][HTML] Splitting schemes for poroelasticity and thermoelasticity problems

AE Kolesov, PN Vabishchevich… - Computers & Mathematics …, 2014 - Elsevier
… We construct splitting schemes and give some numerical comparisons for typical poroelasticity
problems. The results of numerical simulation of a 3D problem are presented. Special …

Splitting scheme for poroelasticity and thermoelasticity problems

PN Vabishchevich, MV Vasil'eva… - … and mathematical physics, 2014 - Springer
… Particularly worth noting is the design of splitting schemes with respect to physical processes,
… of the operator of the problem [17, 18]. For poroelasticity problems, splitting schemes are …

Splitting scheme for poroelasticity and thermoelasticity problems

AE Kolesov, PN Vabishchevich, MV Vasilyeva… - … Conference on Finite …, 2014 - Springer
… an unconditionally stable splitting scheme for solving coupled systems of equations arising
in poroelasticity and thermoelasticity problems. The scheme is based on splitting the systems …

Splitting schemes with respect to physical processes for double-porosity poroelasticity problems

AE Kolesov, PN Vabishchevich - Russian Journal of Numerical …, 2017 - degruyterbrill.com
… We consider unsteady poroelasticity problem in fractured … -porosity poroelasticity problems
we construct splitting schemes … with solving separate problem for the displacements and fluid …

Coupling in poroelasticity and thermoelasticity

RW Zimmerman - International Journal of Rock Mechanics and Mining …, 2000 - Elsevier
… The issue of coupling between thermal and mechanical … poroelastic and thermoelastic
coupling coefficients. … Dividing all terms by the bulk volume gives(25) d V p V b = 1 V …

Upscaling, analysis, and iterative numerical solution schemes for thermo-poroelasticity

MK Brun - 2019 - bora.uib.no
splitting scheme knowninformally as the ‘𝐿-scheme’. These six algorithms involve different
combinations of coupling / decoupling of the three subproblems … classical thermoelasticity to a …

A boundary element method for thermo-poroelasticity with applications in rock mechanics

Q Zhang - 2004 - commons.und.edu
… suitable for the poroelastic and thermoelastic problems. In this … is achieved by dividing the
boundary of the problem into a number of … and utilizing a time marching scheme. In the present …

Numerical solution of plate poroelasticity problems

OP Iliev, AE Kolesov, PN Vabishchevich - Transport in Porous Media, 2016 - Springer
… We construct unconditionally stable splitting schemes with respect to physical processes,
when the transition to a new time level is associated with solving separate problems for the …

Generalized thermo-poroelasticity equations and wave simulation

E Wang, JM Carcione, F Cavallini, M Botelho… - Surveys in Geophysics, 2021 - Springer
… We establish a generalization of the thermoelasticity wave … We solve the stiff problems with
the Crank–Nicolson time-… -stepping scheme, which yields the same solutions as the splitting

[HTML][HTML] A generalized multiscale finite element method for poroelasticity problems I: Linear problems

DL Brown, M Vasilyeva - Journal of Computational and Applied …, 2016 - Elsevier
… In this paper, we consider the numerical solution of poroelasticity problemschallenges
associated with mechanics and flow problems in heterogeneous media. The two primary issues