Hybrid-mixed mimetic method for reservoir simulation with full tensor permeability

Ahmad Abushaikha, K. Terekhov

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

Abstract

In this work, we present a fully implicit hybrid mimetic finite difference 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 mimetic finite difference (MFD) method mimics fundamental properties of mathematical and physical systems and the mixed finite element (MFE) finite-element method assures the coupling of the mass and momentum balance equations. The method utilizes automatic differentiation for the Jacobian construction. This hybrid approach accommodates unstructured grids, and we apply compositional test cases with permeability tensors. We also discuss the accuracy for the new formulation. For all tests, we compare the performance and accuracy of the proposed approach with the trivial TPFA method.

Original languageEnglish
Title of host publication16th European Conference on the Mathematics of Oil Recovery, ECMOR 2018
PublisherEuropean Association of Geoscientists and Engineers, EAGE
ISBN (Print)9789462822603
Publication statusPublished - 1 Jan 2018
Event16th European Conference on the Mathematics of Oil Recovery, ECMOR 2018 - Barcelona, Spain
Duration: 3 Sep 20186 Sep 2018

Other

Other16th European Conference on the Mathematics of Oil Recovery, ECMOR 2018
CountrySpain
CityBarcelona
Period3/9/186/9/18

Fingerprint

Tensors
momentum
Momentum
permeability
Lagrange multipliers
finite difference method
Finite difference method
finite element method
Interfaces (computer)
simulation
mass balance
Finite element method
test
method

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Geochemistry and Petrology
  • Energy Engineering and Power Technology

Cite this

Abushaikha, A., & Terekhov, K. (2018). Hybrid-mixed mimetic method for reservoir simulation with full tensor permeability. In 16th European Conference on the Mathematics of Oil Recovery, ECMOR 2018 European Association of Geoscientists and Engineers, EAGE.

Hybrid-mixed mimetic method for reservoir simulation with full tensor permeability. / Abushaikha, Ahmad; Terekhov, K.

16th European Conference on the Mathematics of Oil Recovery, ECMOR 2018. European Association of Geoscientists and Engineers, EAGE, 2018.

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

Abushaikha, A & Terekhov, K 2018, Hybrid-mixed mimetic method for reservoir simulation with full tensor permeability. in 16th European Conference on the Mathematics of Oil Recovery, ECMOR 2018. European Association of Geoscientists and Engineers, EAGE, 16th European Conference on the Mathematics of Oil Recovery, ECMOR 2018, Barcelona, Spain, 3/9/18.
Abushaikha A, Terekhov K. Hybrid-mixed mimetic method for reservoir simulation with full tensor permeability. In 16th European Conference on the Mathematics of Oil Recovery, ECMOR 2018. European Association of Geoscientists and Engineers, EAGE. 2018
Abushaikha, Ahmad ; Terekhov, K. / Hybrid-mixed mimetic method for reservoir simulation with full tensor permeability. 16th European Conference on the Mathematics of Oil Recovery, ECMOR 2018. European Association of Geoscientists and Engineers, EAGE, 2018.
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