On the parallel solution of hydro-mechanical problems with fracture networks and contact conditions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F24%3A00587685" target="_blank" >RIV/68145535:_____/24:00587685 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/46747885:24220/24:00012291 RIV/61989100:27240/24:10256049

Výsledek na webu

<a href="https://doi.org/10.1016/j.compstruc.2024.107339" target="_blank" >https://doi.org/10.1016/j.compstruc.2024.107339</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.compstruc.2024.107339" target="_blank" >10.1016/j.compstruc.2024.107339</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the parallel solution of hydro-mechanical problems with fracture networks and contact conditions

Popis výsledku v původním jazyce

The paper presents a numerical method for simulating flow and mechanics in fractured rock. The governing equations that couple the effects in the rock mass and in the fractures are obtained using the discrete fracturematrix approach. The fracture flow is driven by the cubic law, and the contact conditions prevent fractures from selfpenetration. A stable finite element discretization is proposed for the displacementpressureflux formulation. The resulting nonlinear algebraic system of equations and inequalities is decoupled using a robust iterative splitting into the linearized flow subproblem, and the quadratic programming problem for the mechanical part. The nonpenetration conditions are solved by means of dualization and an optimal quadratic programming algorithm. The capability of the numerical scheme is demonstrated on a benchmark problem for tunnel excavation with hundreds of fractures in 3D. The paper's novelty consists in a combination of three crucial ingredients: (i) application of discrete fracturematrix approach to poroelasticity, (ii) robust iterative splitting of resulting nonlinear algebraic system working for realworld 3D problems, and (iii) efficient solution of its mechanical quadratic programming part with a large number of fractures in mutual contact by means of own solvers implemented into an in-house software library.

Název v anglickém jazyce

On the parallel solution of hydro-mechanical problems with fracture networks and contact conditions

Popis výsledku anglicky

The paper presents a numerical method for simulating flow and mechanics in fractured rock. The governing equations that couple the effects in the rock mass and in the fractures are obtained using the discrete fracturematrix approach. The fracture flow is driven by the cubic law, and the contact conditions prevent fractures from selfpenetration. A stable finite element discretization is proposed for the displacementpressureflux formulation. The resulting nonlinear algebraic system of equations and inequalities is decoupled using a robust iterative splitting into the linearized flow subproblem, and the quadratic programming problem for the mechanical part. The nonpenetration conditions are solved by means of dualization and an optimal quadratic programming algorithm. The capability of the numerical scheme is demonstrated on a benchmark problem for tunnel excavation with hundreds of fractures in 3D. The paper's novelty consists in a combination of three crucial ingredients: (i) application of discrete fracturematrix approach to poroelasticity, (ii) robust iterative splitting of resulting nonlinear algebraic system working for realworld 3D problems, and (iii) efficient solution of its mechanical quadratic programming part with a large number of fractures in mutual contact by means of own solvers implemented into an in-house software library.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20101 - Civil engineering

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Computers and Structures

ISSN

0045-7949

e-ISSN

1879-2243

Svazek periodika

298

Číslo periodika v rámci svazku

July 2024

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

14

Strana od-do

107339

Kód UT WoS článku

001217402600001

EID výsledku v databázi Scopus

2-s2.0-85188518003