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

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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.

TaalEngels
Pagina's796-813
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

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    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.",
    keywords = "Drift Flux Model, Finite-volume scheme, Non-conservative PDE, Two-phase flow, Variable cross section, Well-balanced scheme",
    author = "Mohammad Abbasi and Sajad Naderilordejani and Naveen Velmurugan and C. Berg and Laura Iapichino and Wil Schilders and {van de Wouw}, Nathan",
    year = "2019",
    month = "8",
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    doi = "10.1016/j.petrol.2019.04.089",
    language = "English",
    volume = "179",
    pages = "796--813",
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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

    PY - 2019/8/1

    Y1 - 2019/8/1

    N2 - 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.

    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.

    KW - Drift Flux Model

    KW - Finite-volume scheme

    KW - Non-conservative PDE

    KW - Two-phase flow

    KW - Variable cross section

    KW - Well-balanced scheme

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    U2 - 10.1016/j.petrol.2019.04.089

    DO - 10.1016/j.petrol.2019.04.089

    M3 - Article

    VL - 179

    SP - 796

    EP - 813

    JO - Journal of Petroleum Science and Engineering

    T2 - Journal of Petroleum Science and Engineering

    JF - Journal of Petroleum Science and Engineering

    SN - 0920-4105

    ER -