Effect of dissipation on torsional wave propagation in an initially stressed visco-poroelastic sandy layer over a half-space

Radhika, N.; Reddy, R. Archana; Rajitha, G.; Madhuri, P. Latha

doi:10.47974/JIM-2435

Open Access Research Article

Effect of dissipation on torsional wave propagation in an initially stressed visco-poroelastic sandy layer over a half-space

N. Radhikaradhikasathya99@gmail.comDepartment of MathematicsSchool of Computer Science & Artificial IntelligenceSR UniversityWarangal, Telangana, 506371, IndiaView full profile → , R. Archana Reddyr.archanareddy@sru.edu.inDepartment of MathematicsSchool of Computer Science & Artificial IntelligenceSR UniversityWarangal, Telangana, 506371, IndiaView full profile → , ^*G. RajithaCorresponding authorrajitha.akshu@gmail.comDepatment of MathematicsSumathi Reddy Institute of Technology for WomenWarangal, Telangana, 506371, IndiaView full profile → , P. Latha Madhurilathamadhuri25@gmail.comDepartment of MathematicsKakatiya UniversityWarangal, Telangana, 506009, IndiaView full profile →

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pp. 1981–1990Vol. 29Issue 6June 2026DOI: 10.47974/JIM-2435XML

Received:: 01 Jul 2025
Published Online:: 30 Jun 2026
Article type:: Research Article
Language:: EN
Article no.:: JIM-2435
Pages:: 1981–1990

Abstract

The study evaluates how dissipation influences wave phenomena through a visco-poroelastic sandy layer and a visco-poroelastic semi-infinite half-space where initial stress exists. The model includes analysis of both poroelastic and viscoelastic characteristics together with detailed studies of solid-fluid phase connections in porous materials. The mathematical model relies on coupled equations that describe the mechanics of porous media, emphasizing the effects of viscosity and porosity on wave speed, attenuation, and dissipation. Influence of several parameters including initial stress, viscosity, porosity, and dissipative effects on wave propagation are demonstrated numerically. Applications in Material Science, seismic exploration, Geotechnical Engineering can benefit from the findings, which offer valuable insights on how waves behave in porous media.

Keywords

Visco-poroelastic Initial stress Phase velocity Attenuation Wavenumber Dissipation

Subject Classifications

Primary 74JXXSecondary 74J15

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