Propagation of Love Waves Through an Irregular Surface of a Layered Poroelastic Rock Structure

Authors

  • Anil Negi Department of Mathematics, School of Advanced Sciences, VIT-AP, University, Andhra Pradesh, India
  • Saurabh Kapoor Department of Education in Science and Mathematics, Regional Institute of Education (NCERT), Bhubneshwar, Odisha, India

DOI:

https://doi.org/10.13052/jgeu0975-1416.1123

Keywords:

Poroelastic, phase velocity, porosity, reflected displacement, Love waves

Abstract

The present study adduces the dynamic properties of the propagating Love waves passing through the irregular upper surface of transversely isotropic poroelastic structure. The dispersion relation for scattered Love waves in a closed form and induced reflected displacement caused by scattering of waves have been derived. The impact of the porosity of the upper layer and half-space on the phase velocity and also on the reflected displacement have also been studied. The porosity of both upper layer and half-space have significant effect on the phase velocity of Love waves. Moreover, the nature of induced reflected displacement with the change in vertical irregularity parameter is also analyzed. The vertical irregularity parameter (associated with the vertical depth of irregularity) has escalating impact on the induced reflected displacement. The comparative analysis of reflected displacement in three distinct scenarios of vertical irregularity has also been done.

Downloads

Download data is not yet available.

Author Biographies

Anil Negi, Department of Mathematics, School of Advanced Sciences, VIT-AP, University, Andhra Pradesh, India

Anil Negi is working as an Assistant Professor in Department of Mathematics, School of Advanced Sciences, VIT-AP, University. He completed his M.Sc. in Mathematics & Computing and Ph.D. in Applied Mathematics, from IIT(ISM), Dhanbad, Jharkhand, India. He is an editorial board member and reviewer in international journals. He has published 10 research publications in international SCI-indexed journals of repute. His fields of research are computational solid mechanics, geomechanics, theoretical seismology, elastodynamics, piezoelectricity, fracture mechanics, etc. He is a life member of the international society International Association of Engineers (IAENG). He is also affiliated with the reputed Indian society such as Indian Mathematical Society and Indian Science Congress.

Saurabh Kapoor, Department of Education in Science and Mathematics, Regional Institute of Education (NCERT), Bhubneshwar, Odisha, India

Saurabh Kapoor working as an Assistant Professor of Mathematics in NCERT and presently posted at RIE Bhubaneswar. He received his Ph.D. in Mathematics from IIT Roorkee in 2015. His research areas are computational fluid dynamics (CFD), hydrodynamics stability, and Finite element method. He published more than 40 articles in National and International peer reviewed journals. He also published two book chapters in the CRC press book. Dr. Kapoor also visited more than three countries for the research work. He also handled more than five research projects and presently guiding four Ph.D. students in Applied Mathematics. He is a member of various international societies such as International Association of Computer science and Information Technology (IACSIT), International association of Engineers (IAEG), International Innovative Scientific and Research Organization. He is also the member of reputed Indian Societies such as Indian Society of Bio mechanics, Indian Society of Heat and Mass Transfer (ISHMT), and Odisha Mathematical Society.

References

Biot, M. A. (1956). Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. The Journal of the Acoustical Society of America, 28(2), 168–178. URL: https://asa.scitation.org/doi/abs/10.1121/1.1908241.

Biot, M. A. (1962). Mechanics of deformation and acoustic propagation in porous media. Journal of Applied Physics, 33(4), 1482–1498. URL: https://aip.scitation.org/doi/abs/10.1063/1.1728759.

Chattopadhyay A, De RK (1983). Love waves in a porous layer with irregular interface. Int J Eng Sci 21(11):1295–1303. URL: https://www.sciencedirect.com/science/article/abs/pii/002072258390126X.

Chattopadhyay, A., and A.K. Pal (1982). SH waves in anisotropic layer with irregular boundary. Bull. Acad. Pol. Sci. 30, 51–59.

Chattopadhyay, A., Gupta, S., Sharma, V. K., & Kumari, P. (2010). Propagation of shear waves in viscoelastic medium at irregular boundaries. Acta Geophysica, 58(2), 195–214. URL: https://link.springer.com/article/10.2478/s11600-009-0060-3.

El Baroudi, A. (2018). Influence of poroelasticity of the surface layer on the surface love wave propagation. Journal of Applied Mechanics, 85(5), 051002. URL: https://asmedigitalcollection.asme.org/appliedmechanics/article-abstract/85/5/051002/422540/Influence-of-Poroelasticity-of-the-Surface-Layer.

Love, A. E. H. (1944). A treatise on the mathematical theory of elasticity, Dover Publications. New York, 1.

Negi, A., and Kumar Singh, A. (2019). Analysis on scattering characteristics of Love-type wave due to surface irregularity in a piezoelectric structure. The Journal of the Acoustical Society of America, 145(6), 3756–3783. URL: https://asa.scitation.org/doi/abs/10.1121/1.5102165.

Wolf, B. (1970). Propagation of Love waves in layers with irregular boundaries. Pure and Applied Geophysics, 78(1), 48–57.

Downloads

Published

2023-08-03

How to Cite

Negi, A., & Kapoor, S. (2023). Propagation of Love Waves Through an Irregular Surface of a Layered Poroelastic Rock Structure. Journal of Graphic Era University, 11(02), 153–176. https://doi.org/10.13052/jgeu0975-1416.1123

Issue

2023: Vol 11 Iss 2

Section

Articles