IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v521y2019icp267-281.html
   My bibliography  Save this article

Distribution of sediment concentration in debris flow using Rényi entropy

Author

Listed:
  • Ghoshal, Koeli
  • Kumbhakar, Manotosh
  • Singh, Vijay P.

Abstract

Debris flow is a destructive natural phenomenon that normally occurs in mountainous regions or steeply sloping areas. Its destructive force is so high that whatever comes in its way is obliterated. It is therefore difficult to collect field observations of debris flow. This study developed a model of the vertical distribution of sediment concentration in debris flow by maximizing Rényi entropy. The model contains a parameter, called entropy parameter, which is a combination of Lagrange multipliers and has a physical justification. An expression for the equilibrium sediment concentration is also developed, and is found to be a function of the entropy parameter and an entropy index. The proposed model is validated with experimental data and is compared with other entropy-based models reported in the literature. It is observed that the prediction accuracy of the proposed models is superior to that of the other models. Errors, namely relative error and relative root-mean-squared error, are computed and are reported in the paper in support of the derived model.

Suggested Citation

  • Ghoshal, Koeli & Kumbhakar, Manotosh & Singh, Vijay P., 2019. "Distribution of sediment concentration in debris flow using Rényi entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 267-281.
    • Handle: RePEc:eee:phsmap:v:521:y:2019:i:c:p:267-281
    DOI: 10.1016/j.physa.2019.01.081
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119300822
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2019.01.081?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kumbhakar, Manotosh & Ghoshal, Koeli & Singh, Vijay P., 2017. "Derivation of Rouse equation for sediment concentration using Shannon entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 494-499.
    2. Singh, Vijay P. & Cui, Huijuan, 2015. "Modeling sediment concentration in debris flow by Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 49-58.
    3. Kumbhakar, Manotosh & Ghoshal, Koeli, 2016. "Two dimensional velocity distribution in open channels using Renyi entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 546-559.
    4. Kazemian-Kale-Kale, Amin & Bonakdari, Hossein & Gholami, Azadeh & Khozani, Zohreh Sheikh & Akhtari, Ali Akbar & Gharabaghi, Bahram, 2018. "Uncertainty analysis of shear stress estimation in circular channels by Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 558-576.
    5. Kundu, Snehasis, 2017. "Derivation of Hunt equation for suspension distribution using Shannon entropy theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 488(C), pages 96-111.
    6. Khozani, Zohreh Sheikh & Bonakdari, Hossein, 2018. "Formulating the shear stress distribution in circular open channels based on the Renyi entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 114-126.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Secrest, J.A. & Conroy, J.M. & Miller, H.G., 2020. "A unified view of transport equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kazemian-Kale-Kale, Amin & Bonakdari, Hossein & Gholami, Azadeh & Khozani, Zohreh Sheikh & Akhtari, Ali Akbar & Gharabaghi, Bahram, 2018. "Uncertainty analysis of shear stress estimation in circular channels by Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 558-576.
    2. Kumbhakar, Manotosh & Ghoshal, Koeli & Singh, Vijay P., 2017. "Derivation of Rouse equation for sediment concentration using Shannon entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 494-499.
    3. Kundu, Snehasis, 2017. "Derivation of Hunt equation for suspension distribution using Shannon entropy theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 488(C), pages 96-111.
    4. Mohan, Shiv & Tsai, Christina W., 2024. "Derivation of vertical concentration profile for nonuniform sediment in suspension using Shannon entropy," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    5. Babak Lashkar-Ara & Niloofar Kalantari & Zohreh Sheikh Khozani & Amir Mosavi, 2021. "Assessing Machine Learning versus a Mathematical Model to Estimate the Transverse Shear Stress Distribution in a Rectangular Channel," Mathematics, MDPI, vol. 9(6), pages 1-15, March.
    6. Khozani, Zohreh Sheikh & Bonakdari, Hossein, 2018. "Formulating the shear stress distribution in circular open channels based on the Renyi entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 114-126.
    7. Kumbhakar, Manotosh & Tsai, Christina W., 2023. "Analytical modeling of vertical distribution of streamwise velocity in open channels using fractional entropy," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    8. Wang, Yumin & Zhu, Guangcan, 2021. "Evaluation of water quality reliability based on entropy in water distribution system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    9. Zhang, Gengxi & Su, Xiaoling & Singh, Vijay P., 2020. "Modelling groundwater-dependent vegetation index using Entropy theory," Ecological Modelling, Elsevier, vol. 416(C).
    10. Domenica Mirauda & Marco Ostoich, 2020. "MIMR Criterion Application: Entropy Approach to Select the Optimal Quality Parameter Set Responsible for River Pollution," Sustainability, MDPI, vol. 12(5), pages 1-22, March.
    11. Eck, Daniel J. & McKeague, Ian W., 2016. "Central Limit Theorems under additive deformations," Statistics & Probability Letters, Elsevier, vol. 118(C), pages 156-162.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:521:y:2019:i:c:p:267-281. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.