Algebraic Dynamic Multilevel (ADM) Method for Immiscible Multiphase Flow in Heterogeneous Porous Media with Capillarity

Matteo Cusini, Cor van Kruijsdijk, Hadi Hajibeygi

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

2 Citations (Scopus)
34 Downloads (Pure)

Abstract

An algebraic dynamic multilevel method (ADM) is developed for fully-implicit (FIM) simulations of multiphase flow in heterogeneous porous media with strong non-linear physics. The fine-scale resolution is defined based on the heterogeneous geological one. Then, ADM constructs a space-time adaptive FIM system on a dynamically defined multilevel nested grid. The multilevel resolution is defined using an error estimate criterion, aiming to minimize the accuracy-cost trade-off. ADM is algebraically described by employing sequences of adaptive multilevel restriction and prolongation operators. Finite-volume conservative restriction operators are considered whereas different choices for prolongation operators are employed for different unknowns. The ADM method is applied to challenging heterogeneous test cases with strong nonlinear heterogeneous capillary effects. It is illustrated that ADM provides accurate solution by employing only a fraction of the total number of fine-scale grid cells. ADM is an important advancement for multiscale methods because it solves for all coupled unknowns (here, both pressure and saturation) simultaneously on arbitrary adaptive multilevel grids. At the same time, it is a significant step forward in the application of dynamic local grid refinement techniques to heterogeneous formations without relying on upscaled coarse-scale quantities

Original languageEnglish
Title of host publication15th European Conference on the Mathematics of Oil Recovery
Subtitle of host publicationAmsterdam, Netherlands
PublisherEAGE
Pages1-11
Number of pages11
ISBN (Electronic)9462821933, 9789462821934
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

Fingerprint

Dive into the research topics of 'Algebraic Dynamic Multilevel (ADM) Method for Immiscible Multiphase Flow in Heterogeneous Porous Media with Capillarity'. Together they form a unique fingerprint.

Cite this