IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i19p4131-d1251194.html
   My bibliography  Save this article

Numerical Modeling of Elastic Wave Propagation in Porous Soils with Vertically Inhomogeneous Fluid Contents Due to Infiltration

Author

Listed:
  • Sergey I. Fomenko

    (Institute for Mathematics, Mechanics and Informatics, Kuban State University, 350040 Krasnodar, Russia)

  • Raghavendra B. Jana

    (Center for AgroTechnologies, Skolkovo Institute of Science and Technology, 121205 Moscow, Russia)

  • Mikhail V. Golub

    (Institute for Mathematics, Mechanics and Informatics, Kuban State University, 350040 Krasnodar, Russia)

Abstract

The structure of soils is often heterogeneous with layered strata having distinct permeabilities. An advanced mathematical and numerical coupled model of elastic wave propagation in poroelastic multi-layered soils subjected to subsoil water infiltration is proposed in this study. The coupled model was based on the introduction of an inhomogeneous functionally graded fluid-saturation of the considered soil depending on the infiltration time, which was evaluated employing Richards’ equation. The time-harmonic solution was formulated in terms of the Fourier transform of Green’s matrix and the surface load that excites the vibration. The convergence and efficiency of the proposed approach are demonstrated. An example of dispersion curves for partially saturated porous strata made of loam, sand, and rock at different infiltration times is provided, and it is shown that the characteristics of the surface acoustic waves change with time, which can be further used for inverse problems’ solution.

Suggested Citation

  • Sergey I. Fomenko & Raghavendra B. Jana & Mikhail V. Golub, 2023. "Numerical Modeling of Elastic Wave Propagation in Porous Soils with Vertically Inhomogeneous Fluid Contents Due to Infiltration," Mathematics, MDPI, vol. 11(19), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4131-:d:1251194
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/19/4131/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/19/4131/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yuting Yang & Gang Mei, 2022. "A Deep Learning-Based Approach for a Numerical Investigation of Soil–Water Vertical Infiltration with Physics-Informed Neural Networks," Mathematics, MDPI, vol. 10(16), pages 1-19, August.
    2. Denis Spiridonov & Maria Vasilyeva & Eric T. Chung & Yalchin Efendiev & Raghavendra Jana, 2020. "Multiscale Model Reduction of the Unsaturated Flow Problem in Heterogeneous Porous Media with Rough Surface Topography," Mathematics, MDPI, vol. 8(6), pages 1-16, June.
    Full references (including those not matched with items on IDEAS)

    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. Wu, Tsung-Hsi & Chen, Pei-Yuan & Chen, Chien-Chih & Chung, Meng-Ju & Ye, Zheng-Kai & Li, Ming-Hsu, 2024. "Classification and Regression Tree (CART)-based estimation of soil water content based on meteorological inputs and explorations of hydrodynamics behind," Agricultural Water Management, Elsevier, vol. 299(C).

    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:gam:jmathe:v:11:y:2023:i:19:p:4131-:d:1251194. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.