 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5249 |
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| Manjeet Kumar, Madan Lal, Neelam Kumari, Pradeep Kaswan, and Manjeet Kumari, "Reflection of Plane Harmonic Waves at the Surface of Triple-Porosity Medium," Mech. Solids. 60 (6), 4743-4763 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
4743-4763 |
| DOI |
10.1134/S0025654425602514 |
| Title |
Reflection of Plane Harmonic Waves at the Surface of Triple-Porosity Medium |
| Author(s) |
Manjeet Kumar (Department of Mathematics, Dr. B.R. Ambedkar Govt. College, Dabwali, Sirsa, Haryana, India)
Madan Lal (Department of Mathematics, Chaudhary Devi Lal University, Sirsa, Haryana, India)
Neelam Kumari (Department of Mathematics, Chaudhary Devi Lal University, Sirsa, Haryana, India)
Pradeep Kaswan (Department of Mathematics, Dr. B.R. Ambedkar Govt. College, Dabwali, Sirsa, Haryana, India)
Manjeet Kumari (Department of Mathematics, M.P. College for Women, Mandi Dabwali, Sirsa, Haryana, India, manjeet.aryan17@gmail.com) |
| Abstract |
This comprehensive study explores the reflection phenomenon at the surface of tripleporosity medium. It investigates the incidence of two primary waves and identifies five reflected waves
within the medium. The study derives expressions for the reflection coefficients as a non-singular system of linear equations and calculates the energy distribution of the reflected waves in the form of an
energy matrix. A numerical example is provided to analyze how the incident energy is partitioned for
both fully closed and perfectly open pores. Additionally, the impact of incident direction on the partitioning of incident energy is examined, considering variations in homogeneity parameter, gas saturation, porosity, critical porosity, depth, and wave-induced fluid flow. The numerical interpretation
confirms that during the reflection process, the conservation of incident energy is maintained at each
angle of incidence, even in the presence of interaction energy. |
| Keywords |
triple-porosity, inhomogeneous, porosity, reflection, energy shares |
| Received |
18 May 2025 | Revised |
05 August 2025 | Accepted |
10 August 2025 |
| Link to Fulltext |
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