A semi-empirical formula for wave attenuation over muddy bed under current

Wenang Xie, Tomoya Shibayama

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

    Abstract

    Theoretical and laboratory studies are performed to analyze the wave attenuation phenomenon over fluid mud under current. In the theoretical part, a semi-empirical formula is derived to model the attenuation process under current. Based on the linear wave theory, the change of wave amplitude is related with the averaged damping effect of the muddy bed. By solving a differential equation, the exponential decay of the wave amplitude is confirmed. A function called damping function is used in the formula, and it is expanded into a series of wave parameters and some undetermined coefficients called auxiliary damping factors. Based on the assumption that the mud properties do not change under current, the formula is combined with the dispersion relation for linear wave under uniform current to describe the attenuation process under current. Laboratory experiments are conducted first without current. The data of wave attenuation are collected and inserted to the formula obtained in the theoretical analysis to figure out the values of the auxiliary damping factors. The second set of experiments is conducted under current and the collected data are compared with the calculated values obtained by using the newly proposed formula with the dispersion relation. The result of comparison shows good applicability of the new formula to the wave attenuation under current.

    Original languageEnglish
    Title of host publicationASIAN AND PACIFIC COASTS 2017
    PublisherWorld Scientific Publishing Co. Pte Ltd
    Pages34-43
    Number of pages10
    Edition213039
    ISBN (Print)9789813233805
    Publication statusPublished - 2018 Jan 1
    Event9th International Conference on Asian and Pacific Coasts, APAC 2017 - Pasay, Philippines
    Duration: 2017 Oct 192017 Oct 21

    Other

    Other9th International Conference on Asian and Pacific Coasts, APAC 2017
    CountryPhilippines
    CityPasay
    Period17/10/1917/10/21

    Fingerprint

    wave attenuation
    damping
    mud
    fluid
    experiment

    Keywords

    • Fluid mud
    • Semi-empirical formula
    • Wave attenuation

    ASJC Scopus subject areas

    • Earth-Surface Processes
    • Oceanography

    Cite this

    Xie, W., & Shibayama, T. (2018). A semi-empirical formula for wave attenuation over muddy bed under current. In ASIAN AND PACIFIC COASTS 2017 (213039 ed., pp. 34-43). World Scientific Publishing Co. Pte Ltd.

    A semi-empirical formula for wave attenuation over muddy bed under current. / Xie, Wenang; Shibayama, Tomoya.

    ASIAN AND PACIFIC COASTS 2017. 213039. ed. World Scientific Publishing Co. Pte Ltd, 2018. p. 34-43.

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

    Xie, W & Shibayama, T 2018, A semi-empirical formula for wave attenuation over muddy bed under current. in ASIAN AND PACIFIC COASTS 2017. 213039 edn, World Scientific Publishing Co. Pte Ltd, pp. 34-43, 9th International Conference on Asian and Pacific Coasts, APAC 2017, Pasay, Philippines, 17/10/19.
    Xie W, Shibayama T. A semi-empirical formula for wave attenuation over muddy bed under current. In ASIAN AND PACIFIC COASTS 2017. 213039 ed. World Scientific Publishing Co. Pte Ltd. 2018. p. 34-43
    Xie, Wenang ; Shibayama, Tomoya. / A semi-empirical formula for wave attenuation over muddy bed under current. ASIAN AND PACIFIC COASTS 2017. 213039. ed. World Scientific Publishing Co. Pte Ltd, 2018. pp. 34-43
    @inproceedings{e251cc6a68b04de29ed82bc43923c1a9,
    title = "A semi-empirical formula for wave attenuation over muddy bed under current",
    abstract = "Theoretical and laboratory studies are performed to analyze the wave attenuation phenomenon over fluid mud under current. In the theoretical part, a semi-empirical formula is derived to model the attenuation process under current. Based on the linear wave theory, the change of wave amplitude is related with the averaged damping effect of the muddy bed. By solving a differential equation, the exponential decay of the wave amplitude is confirmed. A function called damping function is used in the formula, and it is expanded into a series of wave parameters and some undetermined coefficients called auxiliary damping factors. Based on the assumption that the mud properties do not change under current, the formula is combined with the dispersion relation for linear wave under uniform current to describe the attenuation process under current. Laboratory experiments are conducted first without current. The data of wave attenuation are collected and inserted to the formula obtained in the theoretical analysis to figure out the values of the auxiliary damping factors. The second set of experiments is conducted under current and the collected data are compared with the calculated values obtained by using the newly proposed formula with the dispersion relation. The result of comparison shows good applicability of the new formula to the wave attenuation under current.",
    keywords = "Fluid mud, Semi-empirical formula, Wave attenuation",
    author = "Wenang Xie and Tomoya Shibayama",
    year = "2018",
    month = "1",
    day = "1",
    language = "English",
    isbn = "9789813233805",
    pages = "34--43",
    booktitle = "ASIAN AND PACIFIC COASTS 2017",
    publisher = "World Scientific Publishing Co. Pte Ltd",
    address = "Singapore",
    edition = "213039",

    }

    TY - GEN

    T1 - A semi-empirical formula for wave attenuation over muddy bed under current

    AU - Xie, Wenang

    AU - Shibayama, Tomoya

    PY - 2018/1/1

    Y1 - 2018/1/1

    N2 - Theoretical and laboratory studies are performed to analyze the wave attenuation phenomenon over fluid mud under current. In the theoretical part, a semi-empirical formula is derived to model the attenuation process under current. Based on the linear wave theory, the change of wave amplitude is related with the averaged damping effect of the muddy bed. By solving a differential equation, the exponential decay of the wave amplitude is confirmed. A function called damping function is used in the formula, and it is expanded into a series of wave parameters and some undetermined coefficients called auxiliary damping factors. Based on the assumption that the mud properties do not change under current, the formula is combined with the dispersion relation for linear wave under uniform current to describe the attenuation process under current. Laboratory experiments are conducted first without current. The data of wave attenuation are collected and inserted to the formula obtained in the theoretical analysis to figure out the values of the auxiliary damping factors. The second set of experiments is conducted under current and the collected data are compared with the calculated values obtained by using the newly proposed formula with the dispersion relation. The result of comparison shows good applicability of the new formula to the wave attenuation under current.

    AB - Theoretical and laboratory studies are performed to analyze the wave attenuation phenomenon over fluid mud under current. In the theoretical part, a semi-empirical formula is derived to model the attenuation process under current. Based on the linear wave theory, the change of wave amplitude is related with the averaged damping effect of the muddy bed. By solving a differential equation, the exponential decay of the wave amplitude is confirmed. A function called damping function is used in the formula, and it is expanded into a series of wave parameters and some undetermined coefficients called auxiliary damping factors. Based on the assumption that the mud properties do not change under current, the formula is combined with the dispersion relation for linear wave under uniform current to describe the attenuation process under current. Laboratory experiments are conducted first without current. The data of wave attenuation are collected and inserted to the formula obtained in the theoretical analysis to figure out the values of the auxiliary damping factors. The second set of experiments is conducted under current and the collected data are compared with the calculated values obtained by using the newly proposed formula with the dispersion relation. The result of comparison shows good applicability of the new formula to the wave attenuation under current.

    KW - Fluid mud

    KW - Semi-empirical formula

    KW - Wave attenuation

    UR - http://www.scopus.com/inward/record.url?scp=85048197638&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=85048197638&partnerID=8YFLogxK

    M3 - Conference contribution

    AN - SCOPUS:85048197638

    SN - 9789813233805

    SP - 34

    EP - 43

    BT - ASIAN AND PACIFIC COASTS 2017

    PB - World Scientific Publishing Co. Pte Ltd

    ER -