Hybrid Multiscale Formulation for Coupled Flow and Geomechanics

N Castelletto, Hadi Hajibeygi, HA Tchelepi

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

Abstract

We devise a hybrid MultiScale Finite Element-Finite Volume (h-MSFE-FV) framework to simulate singlephase flow through elastic deformable porous media. The coupled problem is solved based on a two-field fine-scale mixed finite element-finite volume formulation of the governing equations, namely conservation laws of linear momentum and mass, in which the primary unknowns are the displacement vector and pressure. For the MSFE displacement stage, we develop sets of local basis functions for the displacement vector over coarse cells, subject to reduced boundary condition. This MSFE stage is then coupled with the MSFV method for flow, where coarse and dual-coarse grids are imposed to obtain approximate but conservative multiscale solutions. Numerical experiments are presented to demonstrate accuracy and robustness of the proposed h-MSFE-FV method---both as an approximate, non-iterative solver, and a preconditioner.
Original languageEnglish
Title of host publicationProceedings of the 15th European Conference on the Mathematics of Oil Recovery
Subtitle of host publicationAmsterdam, Netherlands
Pages1-14
Number of pages14
ISBN (Electronic)978-94-6282-193-4
DOIs
Publication statusPublished - 2016
EventECMOR XV: 15th European Conference on the Mathematics of Oil Recovery - Amsterdam, Netherlands
Duration: 29 Aug 20161 Sep 2016
https://www.eage.org/event/?eventid=1416

Conference

ConferenceECMOR XV
Abbreviated titleECMOR XV
CountryNetherlands
CityAmsterdam
Period29/08/161/09/16
Internet address

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