Mixed hybrid finite-element formulation for general purpose reservoir simulation

Ahmad Abushaikha, D. V. Voskov, H. A. Tchelepi

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

2 Citations (Scopus)

Abstract

We present a mixed hybrid finite-element (FE) formulation for modeling subsurface flow and transport for general-purpose compositional reservoir simulation. The formulation is fully implicit in time and employs a hybrid FE method for the spatial discretization of the conservation equations. The hybrid FE formulation is implemented in the Automatic Differentiation General Purpose Research Simulator (ADGPRS); consequently, the new FE-based methodology inherits all the physics' capabilities of ADGPRS, including compositional EOR models. The high-order mixed hybrid FE discretization scheme works for many types of finite elements and can handle highly anisotropic material properties. The formulation is locally conservative. The momentum and mass balance equations are solved simultaneously, including Lagrange multipliers on element interfaces. The fully implicit scheme uses the automatic differentiation capability to construct the Jacobian matrix. The hybrid FE approach accommodates unstructured grids, which are needed for honouring the complex geometry of the subsurface, in a straightforward manner. We present compositional test cases with full permeability tensors, and we discuss the accuracy and computational efficiency of the formulation. We also compare the performance of the hybrid FE-based scheme with finite-volume based Multi-Point Flux Approximation (MPFA) methods.

Original languageEnglish
Title of host publication15th European Conference on the Mathematics of Oil Recovery, ECMOR 2016
PublisherEuropean Association of Geoscientists and Engineers, EAGE
ISBN (Electronic)9462821933, 9789462821934
Publication statusPublished - 2016
Event15th European Conference on the Mathematics of Oil Recovery, ECMOR 2016 - Amsterdam, Netherlands
Duration: 29 Aug 20161 Sep 2016

Other

Other15th European Conference on the Mathematics of Oil Recovery, ECMOR 2016
CountryNetherlands
CityAmsterdam
Period29/8/161/9/16

Fingerprint

Simulators
Jacobian matrices
Lagrange multipliers
Computational efficiency
simulation
Tensors
Conservation
Materials properties
Momentum
Physics
Fluxes
Finite element method
simulator
Geometry
subsurface flow
finite element method
mass balance
momentum
physics
permeability

ASJC Scopus subject areas

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

Cite this

Abushaikha, A., Voskov, D. V., & Tchelepi, H. A. (2016). Mixed hybrid finite-element formulation for general purpose reservoir simulation. In 15th European Conference on the Mathematics of Oil Recovery, ECMOR 2016 European Association of Geoscientists and Engineers, EAGE.

Mixed hybrid finite-element formulation for general purpose reservoir simulation. / Abushaikha, Ahmad; Voskov, D. V.; Tchelepi, H. A.

15th European Conference on the Mathematics of Oil Recovery, ECMOR 2016. European Association of Geoscientists and Engineers, EAGE, 2016.

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

Abushaikha, A, Voskov, DV & Tchelepi, HA 2016, Mixed hybrid finite-element formulation for general purpose reservoir simulation. in 15th European Conference on the Mathematics of Oil Recovery, ECMOR 2016. European Association of Geoscientists and Engineers, EAGE, 15th European Conference on the Mathematics of Oil Recovery, ECMOR 2016, Amsterdam, Netherlands, 29/8/16.
Abushaikha A, Voskov DV, Tchelepi HA. Mixed hybrid finite-element formulation for general purpose reservoir simulation. In 15th European Conference on the Mathematics of Oil Recovery, ECMOR 2016. European Association of Geoscientists and Engineers, EAGE. 2016
Abushaikha, Ahmad ; Voskov, D. V. ; Tchelepi, H. A. / Mixed hybrid finite-element formulation for general purpose reservoir simulation. 15th European Conference on the Mathematics of Oil Recovery, ECMOR 2016. European Association of Geoscientists and Engineers, EAGE, 2016.
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