A Godunov-type scheme for the drift flux model with variable cross section

Mohammad Abbasi (Corresponding author), Sajad Naderilordejani, Naveen Velmurugan, C. Berg, Laura Iapichino, Wil Schilders, Nathan van de Wouw

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Uittreksel

This paper presents a modification of a classical Godunov-type scheme for the numerical simulation of a two-phase flow in a pipe with a piecewise constant cross-sectional area. This type of flow can occur in wellbores during drilling for oil and gas as well as after well completion. Contrary to classical finite-volume schemes, the numerical scheme proposed in this paper captures the steady-state solution of the system without generating non-physical discontinuities in the numerical solution close to the locations of discontinuities in the cross-section. Moreover, the proposed scheme can be extended to problems with piecewise continuous cross-sectional area. This extension is achieved by discretization of the area along the spatial domain and converting the piecewise continuous area into a piecewise constant area. The proposed scheme reduces to the classical scheme when the cross-sectional area is constant along the spatial domain. For the purpose of computational efficiency, the modification to the classical scheme is only applied at the locations of area variation and the numerical solver reduces to the classical scheme where the cross-sectional area is constant. It is also shown that the proposed scheme can be effectively used to simulate two-phase flows arising from the perturbation of the steady-state solution. The effectiveness of the proposed scheme is shown through illustrative numerical simulations. Finally, it should be noted that the proposed scheme retains the same order of accuracy as the underlying classical scheme.

Originele taal-2Engels
Pagina's (van-tot)796-813
Aantal pagina's18
TijdschriftJournal of Petroleum Science and Engineering
Volume179
DOI's
StatusGepubliceerd - 1 aug 2019

Vingerafdruk

two phase flow
Two phase flow
discontinuity
cross section
Fluxes
Well completion
well completion
Computer simulation
Computational efficiency
simulation
Drilling
pipe
Pipe
perturbation
Gases
gas
drilling for oil
Oils

Citeer dit

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title = "A Godunov-type scheme for the drift flux model with variable cross section",
abstract = "This paper presents a modification of a classical Godunov-type scheme for the numerical simulation of a two-phase flow in a pipe with a piecewise constant cross-sectional area. This type of flow can occur in wellbores during drilling for oil and gas as well as after well completion. Contrary to classical finite-volume schemes, the numerical scheme proposed in this paper captures the steady-state solution of the system without generating non-physical discontinuities in the numerical solution close to the locations of discontinuities in the cross-section. Moreover, the proposed scheme can be extended to problems with piecewise continuous cross-sectional area. This extension is achieved by discretization of the area along the spatial domain and converting the piecewise continuous area into a piecewise constant area. The proposed scheme reduces to the classical scheme when the cross-sectional area is constant along the spatial domain. For the purpose of computational efficiency, the modification to the classical scheme is only applied at the locations of area variation and the numerical solver reduces to the classical scheme where the cross-sectional area is constant. It is also shown that the proposed scheme can be effectively used to simulate two-phase flows arising from the perturbation of the steady-state solution. The effectiveness of the proposed scheme is shown through illustrative numerical simulations. Finally, it should be noted that the proposed scheme retains the same order of accuracy as the underlying classical scheme.",
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A Godunov-type scheme for the drift flux model with variable cross section. / Abbasi, Mohammad (Corresponding author); Naderilordejani, Sajad; Velmurugan, Naveen; Berg, C.; Iapichino, Laura; Schilders, Wil; van de Wouw, Nathan.

In: Journal of Petroleum Science and Engineering, Vol. 179, 01.08.2019, blz. 796-813.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

TY - JOUR

T1 - A Godunov-type scheme for the drift flux model with variable cross section

AU - Abbasi, Mohammad

AU - Naderilordejani, Sajad

AU - Velmurugan, Naveen

AU - Berg, C.

AU - Iapichino, Laura

AU - Schilders, Wil

AU - van de Wouw, Nathan

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AB - This paper presents a modification of a classical Godunov-type scheme for the numerical simulation of a two-phase flow in a pipe with a piecewise constant cross-sectional area. This type of flow can occur in wellbores during drilling for oil and gas as well as after well completion. Contrary to classical finite-volume schemes, the numerical scheme proposed in this paper captures the steady-state solution of the system without generating non-physical discontinuities in the numerical solution close to the locations of discontinuities in the cross-section. Moreover, the proposed scheme can be extended to problems with piecewise continuous cross-sectional area. This extension is achieved by discretization of the area along the spatial domain and converting the piecewise continuous area into a piecewise constant area. The proposed scheme reduces to the classical scheme when the cross-sectional area is constant along the spatial domain. For the purpose of computational efficiency, the modification to the classical scheme is only applied at the locations of area variation and the numerical solver reduces to the classical scheme where the cross-sectional area is constant. It is also shown that the proposed scheme can be effectively used to simulate two-phase flows arising from the perturbation of the steady-state solution. The effectiveness of the proposed scheme is shown through illustrative numerical simulations. Finally, it should be noted that the proposed scheme retains the same order of accuracy as the underlying classical scheme.

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