Mathematical model and its solution for water-altering-gas (WAG) injection process incorporating the effect of miscibility, gravity, viscous fingering and permeability heterogeneity.
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| Title: | Mathematical model and its solution for water-altering-gas (WAG) injection process incorporating the effect of miscibility, gravity, viscous fingering and permeability heterogeneity. |
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| Authors: | Khan, Mohammad Yunus1 (AUTHOR) yunusalig@gmail.com |
| Source: | Journal of Petroleum Exploration & Production Technology. Dec2024, Vol. 14 Issue 12, p3183-3211. 29p. |
| Subject Terms: | *Partial differential equations, *Vector calculus, *Porous materials, *Multiphase flow, *Vectors (Calculus) |
| Abstract: | The oil recovery from the water-alternating-gas (WAG) injection process is significantly impacted by gravity, viscous fingering, and the permeability heterogeneity of the reservoir. Therefore, the combined effect of these parameters cannot be neglected in the WAG injection process. This article presents the development of a mathematical model of oil recovery and its solution for the WAG injection process that takes into account the combined effects of miscibility change, viscous fingering, gravity, and permeability heterogeneity in an inclined stratified reservoir. First, the governing equations and fractional flow functions were explained in relation to the effects of gravity, permeability heterogeneity, viscous fingering, and miscibility change in an inclined stratified porous medium. Then, a mathematical model was developed using fractional flow functions and conservation equations for both injected water and solvent. The model was generated in the form of a quasi-linear first-order partial differential equation, which was solved analytically in two dimensions (2-D) utilizing vector calculus. Next, this model was solved analytically by applying wave theory to practical constant pressure boundary conditions, which generate distinct waves at different times to provide pressure and saturation at the displacement front location. The total volumetric flux and breakthrough time are calculated from the analytical solution at various times. The presented analytical solutions can be used to predict different parameters for stratified porous media in a fast and efficient way. Finally, the results of analytical solution validated with high-resolution numerical simulation for a wide range of permeability heterogeneity, which shows excellent agreement for breakthrough time, saturation, and pressure versus displacement location of different waves at different times. This analytical solution will save time and money by offering guidance to engineers for analyzing the saturation and pressure distribution at different times and predicting oil recovery. It will also improve the understanding of the physics underlying the multiphase flow WAG injection process in heterogeneous reservoirs. [ABSTRACT FROM AUTHOR] |
| Database: | Energy & Power Source |
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| Header | DbId: enr DbLabel: Energy & Power Source An: 181943237 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Mathematical model and its solution for water-altering-gas (WAG) injection process incorporating the effect of miscibility, gravity, viscous fingering and permeability heterogeneity. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Khan%2C+Mohammad+Yunus%22">Khan, Mohammad Yunus</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> yunusalig@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Petroleum+Exploration+%26+Production+Technology%22">Journal of Petroleum Exploration & Production Technology</searchLink>. Dec2024, Vol. 14 Issue 12, p3183-3211. 29p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br />*<searchLink fieldCode="DE" term="%22Vector+calculus%22">Vector calculus</searchLink><br />*<searchLink fieldCode="DE" term="%22Porous+materials%22">Porous materials</searchLink><br />*<searchLink fieldCode="DE" term="%22Multiphase+flow%22">Multiphase flow</searchLink><br />*<searchLink fieldCode="DE" term="%22Vectors+%28Calculus%29%22">Vectors (Calculus)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The oil recovery from the water-alternating-gas (WAG) injection process is significantly impacted by gravity, viscous fingering, and the permeability heterogeneity of the reservoir. Therefore, the combined effect of these parameters cannot be neglected in the WAG injection process. This article presents the development of a mathematical model of oil recovery and its solution for the WAG injection process that takes into account the combined effects of miscibility change, viscous fingering, gravity, and permeability heterogeneity in an inclined stratified reservoir. First, the governing equations and fractional flow functions were explained in relation to the effects of gravity, permeability heterogeneity, viscous fingering, and miscibility change in an inclined stratified porous medium. Then, a mathematical model was developed using fractional flow functions and conservation equations for both injected water and solvent. The model was generated in the form of a quasi-linear first-order partial differential equation, which was solved analytically in two dimensions (2-D) utilizing vector calculus. Next, this model was solved analytically by applying wave theory to practical constant pressure boundary conditions, which generate distinct waves at different times to provide pressure and saturation at the displacement front location. The total volumetric flux and breakthrough time are calculated from the analytical solution at various times. The presented analytical solutions can be used to predict different parameters for stratified porous media in a fast and efficient way. Finally, the results of analytical solution validated with high-resolution numerical simulation for a wide range of permeability heterogeneity, which shows excellent agreement for breakthrough time, saturation, and pressure versus displacement location of different waves at different times. This analytical solution will save time and money by offering guidance to engineers for analyzing the saturation and pressure distribution at different times and predicting oil recovery. It will also improve the understanding of the physics underlying the multiphase flow WAG injection process in heterogeneous reservoirs. [ABSTRACT FROM AUTHOR] |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s13202-024-01884-7 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 29 StartPage: 3183 Subjects: – SubjectFull: Partial differential equations Type: general – SubjectFull: Vector calculus Type: general – SubjectFull: Porous materials Type: general – SubjectFull: Multiphase flow Type: general – SubjectFull: Vectors (Calculus) Type: general Titles: – TitleFull: Mathematical model and its solution for water-altering-gas (WAG) injection process incorporating the effect of miscibility, gravity, viscous fingering and permeability heterogeneity. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Khan, Mohammad Yunus IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 21900558 Numbering: – Type: volume Value: 14 – Type: issue Value: 12 Titles: – TitleFull: Journal of Petroleum Exploration & Production Technology Type: main |
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