Fully implicit mixed hybrid finite-element formulation for general-purpose compositional reservoir simulation

Ahmad Abushaikha, Denis V. Voskov, Hamdi A. Tchelepi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present a fully implicit mixed hybrid finite-element (FE) formulation for general-purpose compositional reservoir simulation. The formulation is locally conservative, and the momentum and mass balance equations are solved simultaneously; including Lagrange multipliers on element interfaces. The method utilizes automatic differentiation for the Jacobian construction. This hybrid FE approach accommodates unstructured grids, and we present black-oil and compositional test cases with permeability tensors. We also discuss the accuracy and computational efficiency for the new formulation. For all tests, we compare the performance and accuracy of the proposed approach with the Multi-Point Flux Approximation (MPFA-O) method.

Original languageEnglish
Title of host publicationSociety of Petroleum Engineers - SPE Reservoir Simulation Conference 2017
PublisherSociety of Petroleum Engineers
Pages1822-1834
Number of pages13
ISBN (Print)9781510838864
Publication statusPublished - 1 Jan 2017
EventSPE Reservoir Simulation Conference 2017 - Montgomery, United States
Duration: 20 Feb 201722 Feb 2017

Other

OtherSPE Reservoir Simulation Conference 2017
CountryUnited States
CityMontgomery
Period20/2/1722/2/17

Fingerprint

Reservoir Simulation
Lagrange multipliers
Computational efficiency
Tensors
Momentum
Oils
Finite Element
Fluxes
Formulation
simulation
Interface Element
mass balance
momentum
Automatic Differentiation
Unstructured Grid
Balance Equations
permeability
Approximation Methods
Computational Efficiency
Permeability

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Modelling and Simulation

Cite this

Abushaikha, A., Voskov, D. V., & Tchelepi, H. A. (2017). Fully implicit mixed hybrid finite-element formulation for general-purpose compositional reservoir simulation. In Society of Petroleum Engineers - SPE Reservoir Simulation Conference 2017 (pp. 1822-1834). Society of Petroleum Engineers.

Fully implicit mixed hybrid finite-element formulation for general-purpose compositional reservoir simulation. / Abushaikha, Ahmad; Voskov, Denis V.; Tchelepi, Hamdi A.

Society of Petroleum Engineers - SPE Reservoir Simulation Conference 2017. Society of Petroleum Engineers, 2017. p. 1822-1834.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abushaikha, A, Voskov, DV & Tchelepi, HA 2017, Fully implicit mixed hybrid finite-element formulation for general-purpose compositional reservoir simulation. in Society of Petroleum Engineers - SPE Reservoir Simulation Conference 2017. Society of Petroleum Engineers, pp. 1822-1834, SPE Reservoir Simulation Conference 2017, Montgomery, United States, 20/2/17.
Abushaikha A, Voskov DV, Tchelepi HA. Fully implicit mixed hybrid finite-element formulation for general-purpose compositional reservoir simulation. In Society of Petroleum Engineers - SPE Reservoir Simulation Conference 2017. Society of Petroleum Engineers. 2017. p. 1822-1834
Abushaikha, Ahmad ; Voskov, Denis V. ; Tchelepi, Hamdi A. / Fully implicit mixed hybrid finite-element formulation for general-purpose compositional reservoir simulation. Society of Petroleum Engineers - SPE Reservoir Simulation Conference 2017. Society of Petroleum Engineers, 2017. pp. 1822-1834
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