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Abstract <p>The present paper analyzes the propagation of Rayleigh waves in a micropolar liquid-saturated porous medium above a dry sandy half-space. The common interface of the micropolar layer and sandy half-space is assumed to be imperfect, as the Earth’s crust is not perfectly elastic. Using the separation of variables technique, displacement components are obtained for each medium. Furthermore, the dispersion equation is obtained in determinant form after using the appropriate boundary conditions. The dispersion equation exhibits the phase velocity and wave number relationship. In&#xa0;addition, some particular cases are studied to validate the problem by ignoring parameters such as porosity, micropolarity, and sandiness. The dispersion equation reduces to the classical Rayleigh waves equation for a homogeneous half-space, which validates the present mathematical model. The present finding is useful in various seismology, engineering, and geophysics applications.</p>

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Characteristics of Rayleigh Waves Propagation in a Micropolar Over a Dry Sandy Substrate with Fluid Saturated Porosity and Imperfect Interface

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • Deepa Devi,
  • Santimoy Kundu,
  • Mohd Sadab

摘要

Abstract

The present paper analyzes the propagation of Rayleigh waves in a micropolar liquid-saturated porous medium above a dry sandy half-space. The common interface of the micropolar layer and sandy half-space is assumed to be imperfect, as the Earth’s crust is not perfectly elastic. Using the separation of variables technique, displacement components are obtained for each medium. Furthermore, the dispersion equation is obtained in determinant form after using the appropriate boundary conditions. The dispersion equation exhibits the phase velocity and wave number relationship. In addition, some particular cases are studied to validate the problem by ignoring parameters such as porosity, micropolarity, and sandiness. The dispersion equation reduces to the classical Rayleigh waves equation for a homogeneous half-space, which validates the present mathematical model. The present finding is useful in various seismology, engineering, and geophysics applications.