A Pseudo-Vertical Equilibrium Model for Slow Gravity Drainage Dynamics

Beatrix Becker, Bo Guo, Karl Bandilla, Michael A. Celia, Bernd Flemisch, Rainer Helmig

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Vertical equilibrium (VE) models are computationally efficient and have been widely used for modeling fluid migration in the subsurface. However, they rely on the assumption of instant gravity segregation of the two fluid phases which may not be valid especially for systems that have very slow drainage at low wetting phase saturations. In these cases, the time scale for the wetting phase to reach vertical equilibrium can be several orders of magnitude larger than the time scale of interest, rendering conventional VE models unsuitable. Here we present a pseudo-VE model that relaxes the assumption of instant segregation of the two fluid phases by applying a pseudo-residual saturation inside the plume of the injected fluid that declines over time due to slow vertical drainage. This pseudo-VE model is cast in a multiscale framework for vertically integrated models with the vertical drainage solved as a fine-scale problem. Two types of fine-scale models are developed for the vertical drainage, which lead to two pseudo-VE models. Comparisons with a conventional VE model and a full multidimensional model show that the pseudo-VE models have much wider applicability than the conventional VE model while maintaining the computational benefit of the conventional VE model.

Original languageEnglish (US)
Pages (from-to)10491-10507
Number of pages17
JournalWater Resources Research
Volume53
Issue number12
DOIs
StatePublished - Dec 2017
Externally publishedYes

Fingerprint

drainage
gravity
fluid
wetting
saturation
timescale
plume
modeling

Keywords

  • gas injection
  • multiphase flow
  • multiscale
  • porous media
  • simplified model
  • vertical integration

ASJC Scopus subject areas

  • Water Science and Technology

Cite this

Becker, B., Guo, B., Bandilla, K., Celia, M. A., Flemisch, B., & Helmig, R. (2017). A Pseudo-Vertical Equilibrium Model for Slow Gravity Drainage Dynamics. Water Resources Research, 53(12), 10491-10507. https://doi.org/10.1002/2017WR021644

A Pseudo-Vertical Equilibrium Model for Slow Gravity Drainage Dynamics. / Becker, Beatrix; Guo, Bo; Bandilla, Karl; Celia, Michael A.; Flemisch, Bernd; Helmig, Rainer.

In: Water Resources Research, Vol. 53, No. 12, 12.2017, p. 10491-10507.

Research output: Contribution to journalArticle

Becker, B, Guo, B, Bandilla, K, Celia, MA, Flemisch, B & Helmig, R 2017, 'A Pseudo-Vertical Equilibrium Model for Slow Gravity Drainage Dynamics', Water Resources Research, vol. 53, no. 12, pp. 10491-10507. https://doi.org/10.1002/2017WR021644
Becker, Beatrix ; Guo, Bo ; Bandilla, Karl ; Celia, Michael A. ; Flemisch, Bernd ; Helmig, Rainer. / A Pseudo-Vertical Equilibrium Model for Slow Gravity Drainage Dynamics. In: Water Resources Research. 2017 ; Vol. 53, No. 12. pp. 10491-10507.
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