Foam front displacement in improved oil recovery in systems with anisotropic permeability

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Abstract

A foam front propagating through an oil reservoir is considered in the context of foam improved oil recovery. Specifically the evolution of the shape of a foam front in a strongly anisotropic reservoir (vertical permeability much smaller than horizontal permeability) is determined via the pressure-driven growth model. The shape of the foam front is demonstrated to be extremely close to that predicted in the limiting case of a reservoir with no vertical permeability whatsoever, in particular any deviations from this shape are found to be second order in the ratio of vertical to horizontal permeabilities. Material points used to represent the foam front shape are shown to exhibit a uniform downward vertical motion, with a vertical velocity component which is proportional to the ratio of vertical to horizontal permeabilities. As the material points in question migrate downwards, they are replaced by new material points arriving from higher up, representing a long-time asymptotic solution for the front shape. This long-time asymptotic shape is sensitive to the ratio of vertical to horizontal permeabilities, with the foam front sweeping the reservoir less effectively as this ratio decreases.
LanguageEnglish
Pages44-51
Number of pages8
JournalColloids and Surfaces A: Physicochemical and Engineering Aspects
Volume534
Early online date31 Mar 2017
DOIs
StatePublished - 5 Dec 2017

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oil recovery
Foam
foams
Permeability
Foams
permeability
Oils
Recovery
Vertical
Horizontal
Long-time Asymptotics
vertical motion
Sweeping
Asymptotic Solution
Growth Model
oils
Deviation
deviation
Limiting
Directly proportional

Keywords

  • improved oil recovery
  • pressure-driven growth
  • foam in porous media
  • permeability
  • anisotropy
  • mathematical modelling

Cite this

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title = "Foam front displacement in improved oil recovery in systems with anisotropic permeability",
abstract = "A foam front propagating through an oil reservoir is considered in the context of foam improved oil recovery. Specifically the evolution of the shape of a foam front in a strongly anisotropic reservoir (vertical permeability much smaller than horizontal permeability) is determined via the pressure-driven growth model. The shape of the foam front is demonstrated to be extremely close to that predicted in the limiting case of a reservoir with no vertical permeability whatsoever, in particular any deviations from this shape are found to be second order in the ratio of vertical to horizontal permeabilities. Material points used to represent the foam front shape are shown to exhibit a uniform downward vertical motion, with a vertical velocity component which is proportional to the ratio of vertical to horizontal permeabilities. As the material points in question migrate downwards, they are replaced by new material points arriving from higher up, representing a long-time asymptotic solution for the front shape. This long-time asymptotic shape is sensitive to the ratio of vertical to horizontal permeabilities, with the foam front sweeping the reservoir less effectively as this ratio decreases.",
keywords = "improved oil recovery, pressure-driven growth, foam in porous media, permeability, anisotropy, mathematical modelling",
author = "P. Grassia",
year = "2017",
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N2 - A foam front propagating through an oil reservoir is considered in the context of foam improved oil recovery. Specifically the evolution of the shape of a foam front in a strongly anisotropic reservoir (vertical permeability much smaller than horizontal permeability) is determined via the pressure-driven growth model. The shape of the foam front is demonstrated to be extremely close to that predicted in the limiting case of a reservoir with no vertical permeability whatsoever, in particular any deviations from this shape are found to be second order in the ratio of vertical to horizontal permeabilities. Material points used to represent the foam front shape are shown to exhibit a uniform downward vertical motion, with a vertical velocity component which is proportional to the ratio of vertical to horizontal permeabilities. As the material points in question migrate downwards, they are replaced by new material points arriving from higher up, representing a long-time asymptotic solution for the front shape. This long-time asymptotic shape is sensitive to the ratio of vertical to horizontal permeabilities, with the foam front sweeping the reservoir less effectively as this ratio decreases.

AB - A foam front propagating through an oil reservoir is considered in the context of foam improved oil recovery. Specifically the evolution of the shape of a foam front in a strongly anisotropic reservoir (vertical permeability much smaller than horizontal permeability) is determined via the pressure-driven growth model. The shape of the foam front is demonstrated to be extremely close to that predicted in the limiting case of a reservoir with no vertical permeability whatsoever, in particular any deviations from this shape are found to be second order in the ratio of vertical to horizontal permeabilities. Material points used to represent the foam front shape are shown to exhibit a uniform downward vertical motion, with a vertical velocity component which is proportional to the ratio of vertical to horizontal permeabilities. As the material points in question migrate downwards, they are replaced by new material points arriving from higher up, representing a long-time asymptotic solution for the front shape. This long-time asymptotic shape is sensitive to the ratio of vertical to horizontal permeabilities, with the foam front sweeping the reservoir less effectively as this ratio decreases.

KW - improved oil recovery

KW - pressure-driven growth

KW - foam in porous media

KW - permeability

KW - anisotropy

KW - mathematical modelling

UR - https://www.sciencedirect.com/science/article/pii/S0927775717303199

U2 - 10.1016/j.colsurfa.2017.03.059

DO - 10.1016/j.colsurfa.2017.03.059

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VL - 534

SP - 44

EP - 51

JO - Colloids and Surfaces A: Physicochemical and Engineering Aspects

T2 - Colloids and Surfaces A: Physicochemical and Engineering Aspects

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SN - 0927-7757

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