The generation and interaction of convection modes in a box of a saturated porous medium

    Research output: ThesisDoctoral Thesis

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    Abstract

    Inspired by the recent interest in using geothermal energy from the Perth Basin, models of the underground water ow in the deep sedimentary basin are being developed. If convection were to occur, then a circulation of uid assists in bringing hot water closer to the surface. If such hot upwellings can be located, the cost of extracting water at an operational temperature can be reduced. This thesis explores issues of modelling convection in porous media, with particular focus on the e ect of the domain size on the observed convection patterns. Convection in an in nite layer of a porous medium occurs if the dimensionless Rayleigh number exceeds a critical value. This is also true for a box of a porous medium, however, each discrete modal solution has its own associated critical Rayleigh number. Usually just one mode will be generated at the onset of convection, however, there are many critical box dimensions for which up to four modes share the same critical Rayleigh number and all may be generated at the onset of convection. occur as
    Original languageEnglish
    QualificationDoctor of Philosophy
    Publication statusUnpublished - 2013

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