Exact solutions of the Hairsine-Rose precipitation-driven erosion model for a uniform grain-sized soil

D Barry, G Sander, S Jomaa, B Heng, J Parlange, Ian Lisle, W Hogarth

    Research output: Contribution to journalArticle

    14 Citations (Scopus)

    Abstract

    Hairsine and Rose developed a mechanistic, one-dimensional, precipitation-driven erosion model that, since its appearance, has been validated by several sets of experimental results. The model allows any sediment particle to be present in one of three zones, viz., the flow zone, the deposited layer, or the original soil. The model has the general form of a two-region model, in which advection is the only transport process. For the special case of a soil composed of a single particle size and for overland flow that occurs at a steady rate and with a uniform depth, it is possible to derive fully explicit analytical solutions to the model. Details of the solutions for a slightly generalized mathematical form of the model are provided. The Goldstein J function, which appears commonly in two-region model solutions, was modified to accommodate some of the solutions presented. The form of the model analyzed indicated that, based only on sediment concentrations in runoff water, it is not possible to distinguish one mechanistic feature of the Hairsine–Rose model, i.e., that raindrop-induced detachment of the undisturbed soil moves directly into the flowing water. From the point of view of the model, it is equally plausible for raindrop impact to move sediment directly into the deposited layer
    Original languageEnglish
    Pages (from-to)399-405
    Number of pages7
    JournalJournal of Hydrology
    Volume389
    DOIs
    Publication statusPublished - 2010

    Fingerprint

    erosion
    soil
    raindrop
    sediment
    overland flow
    transport process
    advection
    particle size
    runoff

    Cite this

    Barry, D ; Sander, G ; Jomaa, S ; Heng, B ; Parlange, J ; Lisle, Ian ; Hogarth, W. / Exact solutions of the Hairsine-Rose precipitation-driven erosion model for a uniform grain-sized soil. In: Journal of Hydrology. 2010 ; Vol. 389. pp. 399-405.
    @article{07d179d3fa1b49f486a8dff7941341da,
    title = "Exact solutions of the Hairsine-Rose precipitation-driven erosion model for a uniform grain-sized soil",
    abstract = "Hairsine and Rose developed a mechanistic, one-dimensional, precipitation-driven erosion model that, since its appearance, has been validated by several sets of experimental results. The model allows any sediment particle to be present in one of three zones, viz., the flow zone, the deposited layer, or the original soil. The model has the general form of a two-region model, in which advection is the only transport process. For the special case of a soil composed of a single particle size and for overland flow that occurs at a steady rate and with a uniform depth, it is possible to derive fully explicit analytical solutions to the model. Details of the solutions for a slightly generalized mathematical form of the model are provided. The Goldstein J function, which appears commonly in two-region model solutions, was modified to accommodate some of the solutions presented. The form of the model analyzed indicated that, based only on sediment concentrations in runoff water, it is not possible to distinguish one mechanistic feature of the Hairsine–Rose model, i.e., that raindrop-induced detachment of the undisturbed soil moves directly into the flowing water. From the point of view of the model, it is equally plausible for raindrop impact to move sediment directly into the deposited layer",
    author = "D Barry and G Sander and S Jomaa and B Heng and J Parlange and Ian Lisle and W Hogarth",
    year = "2010",
    doi = "10.1016/j.jhydrol.2010.06.016",
    language = "English",
    volume = "389",
    pages = "399--405",
    journal = "Journal of Hydrology",
    issn = "0022-1694",
    publisher = "Elsevier",

    }

    Exact solutions of the Hairsine-Rose precipitation-driven erosion model for a uniform grain-sized soil. / Barry, D; Sander, G; Jomaa, S; Heng, B; Parlange, J; Lisle, Ian; Hogarth, W.

    In: Journal of Hydrology, Vol. 389, 2010, p. 399-405.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - Exact solutions of the Hairsine-Rose precipitation-driven erosion model for a uniform grain-sized soil

    AU - Barry, D

    AU - Sander, G

    AU - Jomaa, S

    AU - Heng, B

    AU - Parlange, J

    AU - Lisle, Ian

    AU - Hogarth, W

    PY - 2010

    Y1 - 2010

    N2 - Hairsine and Rose developed a mechanistic, one-dimensional, precipitation-driven erosion model that, since its appearance, has been validated by several sets of experimental results. The model allows any sediment particle to be present in one of three zones, viz., the flow zone, the deposited layer, or the original soil. The model has the general form of a two-region model, in which advection is the only transport process. For the special case of a soil composed of a single particle size and for overland flow that occurs at a steady rate and with a uniform depth, it is possible to derive fully explicit analytical solutions to the model. Details of the solutions for a slightly generalized mathematical form of the model are provided. The Goldstein J function, which appears commonly in two-region model solutions, was modified to accommodate some of the solutions presented. The form of the model analyzed indicated that, based only on sediment concentrations in runoff water, it is not possible to distinguish one mechanistic feature of the Hairsine–Rose model, i.e., that raindrop-induced detachment of the undisturbed soil moves directly into the flowing water. From the point of view of the model, it is equally plausible for raindrop impact to move sediment directly into the deposited layer

    AB - Hairsine and Rose developed a mechanistic, one-dimensional, precipitation-driven erosion model that, since its appearance, has been validated by several sets of experimental results. The model allows any sediment particle to be present in one of three zones, viz., the flow zone, the deposited layer, or the original soil. The model has the general form of a two-region model, in which advection is the only transport process. For the special case of a soil composed of a single particle size and for overland flow that occurs at a steady rate and with a uniform depth, it is possible to derive fully explicit analytical solutions to the model. Details of the solutions for a slightly generalized mathematical form of the model are provided. The Goldstein J function, which appears commonly in two-region model solutions, was modified to accommodate some of the solutions presented. The form of the model analyzed indicated that, based only on sediment concentrations in runoff water, it is not possible to distinguish one mechanistic feature of the Hairsine–Rose model, i.e., that raindrop-induced detachment of the undisturbed soil moves directly into the flowing water. From the point of view of the model, it is equally plausible for raindrop impact to move sediment directly into the deposited layer

    U2 - 10.1016/j.jhydrol.2010.06.016

    DO - 10.1016/j.jhydrol.2010.06.016

    M3 - Article

    VL - 389

    SP - 399

    EP - 405

    JO - Journal of Hydrology

    JF - Journal of Hydrology

    SN - 0022-1694

    ER -