A non-isothermal three-phase pollutant transport model, theoretical formulation and numerical applications

A. Kaddouri, W. J. Ferguson

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    The purpose of this paper is the simulation of the non-isothermal flow and transport of contaminants in ground water systems. A system of six fully coupled non-linear partial differential equations were developed, in which the coupled flow of water, water vapour and heat is assumed to be governed by Philip and de Vries theory. The space discretisation is carried out using a modified Galerkin weighted residual finite element method with asymmetric shape functions. The resulting transient equations are then solved temporally by the generalised midpoint method, resulting in a system of six non-linear equations, in which the unknowns are the three fluid pressures, the temperature and the solute and gas NAPL concentrations. The accuracy and correctness of the model has been verified on a variety of isothermal and non-isothermal conditions. The results of subsets of problems analysed are shown to be in good agreement with analytical and other model simulators.

    Original languageEnglish
    Title of host publicationOil and Gas Hydrocarbon Spills III: Modelling, Analysis and Control
    Pages23-33
    Number of pages11
    Volume11
    Publication statusPublished - 2002
    EventFirst International Conference on Oil and Hydrocarbon Spills: Modelling, Analysis and Control, Oil Spill III - Rhodes, Greece
    Duration: 17 Sep 200219 Sep 2002

    Conference

    ConferenceFirst International Conference on Oil and Hydrocarbon Spills: Modelling, Analysis and Control, Oil Spill III
    CountryGreece
    CityRhodes
    Period17/09/0219/09/02

    Fingerprint

    pollutant transport
    nonaqueous phase liquid
    fluid pressure
    finite element method
    simulator
    solute
    water vapor
    groundwater
    pollutant
    gas
    simulation
    temperature
    water

    Cite this

    Kaddouri, A., & Ferguson, W. J. (2002). A non-isothermal three-phase pollutant transport model, theoretical formulation and numerical applications. In Oil and Gas Hydrocarbon Spills III: Modelling, Analysis and Control (Vol. 11, pp. 23-33)
    Kaddouri, A. ; Ferguson, W. J. / A non-isothermal three-phase pollutant transport model, theoretical formulation and numerical applications. Oil and Gas Hydrocarbon Spills III: Modelling, Analysis and Control. Vol. 11 2002. pp. 23-33
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    title = "A non-isothermal three-phase pollutant transport model, theoretical formulation and numerical applications",
    abstract = "The purpose of this paper is the simulation of the non-isothermal flow and transport of contaminants in ground water systems. A system of six fully coupled non-linear partial differential equations were developed, in which the coupled flow of water, water vapour and heat is assumed to be governed by Philip and de Vries theory. The space discretisation is carried out using a modified Galerkin weighted residual finite element method with asymmetric shape functions. The resulting transient equations are then solved temporally by the generalised midpoint method, resulting in a system of six non-linear equations, in which the unknowns are the three fluid pressures, the temperature and the solute and gas NAPL concentrations. The accuracy and correctness of the model has been verified on a variety of isothermal and non-isothermal conditions. The results of subsets of problems analysed are shown to be in good agreement with analytical and other model simulators.",
    author = "A. Kaddouri and Ferguson, {W. J.}",
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    Kaddouri, A & Ferguson, WJ 2002, A non-isothermal three-phase pollutant transport model, theoretical formulation and numerical applications. in Oil and Gas Hydrocarbon Spills III: Modelling, Analysis and Control. vol. 11, pp. 23-33, First International Conference on Oil and Hydrocarbon Spills: Modelling, Analysis and Control, Oil Spill III, Rhodes, Greece, 17/09/02.

    A non-isothermal three-phase pollutant transport model, theoretical formulation and numerical applications. / Kaddouri, A.; Ferguson, W. J.

    Oil and Gas Hydrocarbon Spills III: Modelling, Analysis and Control. Vol. 11 2002. p. 23-33.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

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    AB - The purpose of this paper is the simulation of the non-isothermal flow and transport of contaminants in ground water systems. A system of six fully coupled non-linear partial differential equations were developed, in which the coupled flow of water, water vapour and heat is assumed to be governed by Philip and de Vries theory. The space discretisation is carried out using a modified Galerkin weighted residual finite element method with asymmetric shape functions. The resulting transient equations are then solved temporally by the generalised midpoint method, resulting in a system of six non-linear equations, in which the unknowns are the three fluid pressures, the temperature and the solute and gas NAPL concentrations. The accuracy and correctness of the model has been verified on a variety of isothermal and non-isothermal conditions. The results of subsets of problems analysed are shown to be in good agreement with analytical and other model simulators.

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    Kaddouri A, Ferguson WJ. A non-isothermal three-phase pollutant transport model, theoretical formulation and numerical applications. In Oil and Gas Hydrocarbon Spills III: Modelling, Analysis and Control. Vol. 11. 2002. p. 23-33