Fully implicit mixed-hybrid finite-element discretization for general purpose subsurface reservoir simulation

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

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We present a new fully-implicit, mixed-hybrid, finite-element (MHFE) discretization scheme for general-purpose compositional reservoir simulation. The locally conservative scheme solves the coupled momentum and mass balance equations simultaneously, and the fluid system is modeled using a cubic equation-of-state. We introduce a new conservative flux approach for the mass balance equations for this fully-implicit approach. We discuss the nonlinear solution procedure for the proposed approach, and we present extensive numerical tests to demonstrate the convergence and accuracy of the MHFE method using tetrahedral elements. We also compare the method to other advanced discretization schemes for unstructured meshes and tensor permeability. Finally, we illustrate the applicability and robustness of the method for highly heterogeneous reservoirs with unstructured grids.

Original languageEnglish
Pages (from-to)514-538
Number of pages25
JournalJournal of Computational Physics
Volume346
DOIs
Publication statusPublished - 1 Oct 2017

Fingerprint

mass balance
Equations of state
Tensors
Momentum
Fluxes
Finite element method
cubic equations
Fluids
mesh
permeability
finite element method
equations of state
simulation
tensors
momentum
fluids

Keywords

  • Compositional modeling
  • Finite volume
  • Full tensor
  • Fully implicit
  • Mixed-hybrid finite element
  • Momentum and mass coupling
  • Reservoir simulation
  • Unstructured grids

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Computer Science Applications

Cite this

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

In: Journal of Computational Physics, Vol. 346, 01.10.2017, p. 514-538.

Research output: Contribution to journalArticle

@article{52d6079b4e8d4451b8d085b556708ea0,
title = "Fully implicit mixed-hybrid finite-element discretization for general purpose subsurface reservoir simulation",
abstract = "We present a new fully-implicit, mixed-hybrid, finite-element (MHFE) discretization scheme for general-purpose compositional reservoir simulation. The locally conservative scheme solves the coupled momentum and mass balance equations simultaneously, and the fluid system is modeled using a cubic equation-of-state. We introduce a new conservative flux approach for the mass balance equations for this fully-implicit approach. We discuss the nonlinear solution procedure for the proposed approach, and we present extensive numerical tests to demonstrate the convergence and accuracy of the MHFE method using tetrahedral elements. We also compare the method to other advanced discretization schemes for unstructured meshes and tensor permeability. Finally, we illustrate the applicability and robustness of the method for highly heterogeneous reservoirs with unstructured grids.",
keywords = "Compositional modeling, Finite volume, Full tensor, Fully implicit, Mixed-hybrid finite element, Momentum and mass coupling, Reservoir simulation, Unstructured grids",
author = "Ahmad Abushaikha and Voskov, {Denis V.} and Tchelepi, {Hamdi A.}",
year = "2017",
month = "10",
day = "1",
doi = "10.1016/j.jcp.2017.06.034",
language = "English",
volume = "346",
pages = "514--538",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Fully implicit mixed-hybrid finite-element discretization for general purpose subsurface reservoir simulation

AU - Abushaikha, Ahmad

AU - Voskov, Denis V.

AU - Tchelepi, Hamdi A.

PY - 2017/10/1

Y1 - 2017/10/1

N2 - We present a new fully-implicit, mixed-hybrid, finite-element (MHFE) discretization scheme for general-purpose compositional reservoir simulation. The locally conservative scheme solves the coupled momentum and mass balance equations simultaneously, and the fluid system is modeled using a cubic equation-of-state. We introduce a new conservative flux approach for the mass balance equations for this fully-implicit approach. We discuss the nonlinear solution procedure for the proposed approach, and we present extensive numerical tests to demonstrate the convergence and accuracy of the MHFE method using tetrahedral elements. We also compare the method to other advanced discretization schemes for unstructured meshes and tensor permeability. Finally, we illustrate the applicability and robustness of the method for highly heterogeneous reservoirs with unstructured grids.

AB - We present a new fully-implicit, mixed-hybrid, finite-element (MHFE) discretization scheme for general-purpose compositional reservoir simulation. The locally conservative scheme solves the coupled momentum and mass balance equations simultaneously, and the fluid system is modeled using a cubic equation-of-state. We introduce a new conservative flux approach for the mass balance equations for this fully-implicit approach. We discuss the nonlinear solution procedure for the proposed approach, and we present extensive numerical tests to demonstrate the convergence and accuracy of the MHFE method using tetrahedral elements. We also compare the method to other advanced discretization schemes for unstructured meshes and tensor permeability. Finally, we illustrate the applicability and robustness of the method for highly heterogeneous reservoirs with unstructured grids.

KW - Compositional modeling

KW - Finite volume

KW - Full tensor

KW - Fully implicit

KW - Mixed-hybrid finite element

KW - Momentum and mass coupling

KW - Reservoir simulation

KW - Unstructured grids

UR - http://www.scopus.com/inward/record.url?scp=85021775493&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021775493&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2017.06.034

DO - 10.1016/j.jcp.2017.06.034

M3 - Article

AN - SCOPUS:85021775493

VL - 346

SP - 514

EP - 538

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

ER -