• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2023, Volume: 16, Issue: 20, Pages: 1527-1537

Original Article

Wave Propagation in a Homogeneous Poroelastic Layer Bounded Between Transversely Isotropic Poroelastic Half-space and an in-homogeneous Elastic Half-space

Received Date:25 December 2022, Accepted Date:08 April 2023, Published Date:26 May 2023


Objectives: The present work investigates the propagation of love waves in an isotropic poroelastic layer that is bounded by an inhomogeneous orthotropic half-space and a transversely isotropic elastic half-space. The transversely isotropic poroelastic layer and elastic half-space are taken as initially stressed. Methods: Using Biot’s theory, the equations of motion for poroelastic layers are derived. The dispersion equation for phase velocity has been derived analytically. Findings: The effect of initial stresses of both elastic half-space and layer is observed. Also, the dispersion equation is derived for poroelastic layer and elastic layer as particular cases. Numerical work has been carried out and results are presented graphically. Novelty: The propagation of Love waves at the boundary between two elastic substances has received a lot of attention. Present study deals with three solid structures, a layer bounded between two half-spaces.

Keywords: Poroelastic; Transversely isotropic; Phase velocity; Wave number; Initially stressed


  1. Chinta N, Syed AS, Modem R, Mangipudi VR. A Study on Propagation of Waves in a Transversely Isotropic Poroelastic Layer Bounded between Two Viscous Liquids. Open Journal of Acoustics. 2019;9(1):1–12. Available from: https://doi.org/10.4236/oja.2019.91001
  2. Kumar; RAJ22RviafltlpcssbafJM, Nageswaranath C, Kavitha K, Shah SA. Radial vibrations in a fluid-loaded two layered poroelastic cylindrical shell surrounded by a fluid. API Conference Proceedings. 2020;2246(1). Available from: https://doi.org/10.1063/5.0015000
  3. Othman MIA, Zidan MEM, Mohamed IEA. Effect of magnetic field and gravity on two-temperature thermomicrostretch elastic medium under dual-phase lag model. Indian Journal of Physics. 2020;94(1):69–79. Available from: https://doi.org/10.1007/s12648-019-01444-4
  4. Li YC, Feng SJ, Chen HX, Chen ZL, Zhang DM, Huang HW. Dynamic response of a stratified transversely isotropic half-space with a poroelastic interlayer due to a buried moving source. Applied Mathematical Modelling. 2020;82:45–71. Available from: https://doi.org/10.1016/j.apm.2020.01.036
  5. Gupta AK, Mukhopadhyay AK, Patra P, Kundu S, Patra S, Kundu. Love wave in porous layer under initial stress over heterogeneous elastic half-space under gravity and initial stress. . Geofísica internacional- Ciudad de México. 2021;60(3):193–210. Available from: https://doi.org/10.22201/igeof.00167169p.2021.60.3.1917
  6. Mahmoodian M, Eskandari-Ghadi M, Nikkhoo A. Body waves propagation in a fluid-saturated transversely isotropic poroelastic solid with a potential method. Scientia Iranica. 2021;28(3):1132–1151. Available from: https://doi.org/10.24200/sci.2020.54428.3748
  7. Biot MA. Mechanics of Deformation and Acoustic Propagation in Porous Media. Journal of Applied Physics. 1962;33(4):1482–1498. Available from: https://doi.org/10.1063/1.1728759
  8. Biot MA, Drucker DC. Mechanics of Incremental Deformation. Journal of Applied Mechanics. 1965;32(4):957–958.
  9. Biot MA. Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range. The Journal of the Acoustical Society of America. 1956;28(2):168–178. Available from: https://doi.org/10.1121/1.1908239


© 2023 Nageswaranath et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)


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