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THE REAL AND ACCURATE FORMULAS FOR THE SOLUTIONS OF THE RAYLEIGH WAVE EQUATION

THE REAL AND ACCURATE FORMULAS FOR THE SOLUTIONS OF THE RAYLEIGH WAVE EQUATION

Ibim, D.F. and Womuru, E.N.
Department of Physics, Ignatius Ajuru University of Education
P.M.B. 5047, Port Harcourt, Nigeria
E-mail: dagogofranklin@gmail.com

ABSTRACT
This paper addresses the question: find the accurate formula for the common Rayleigh’s wave equation in a homogeneous and isotropic medium defined on a half-space. Formula for the solutions of Rayleigh wave equation which are functions of the Poisson’s ratio of the material under study was achieved using appropriate mathematical expression and taking advantage of the MAPLE procedures. We established that beyond a critical value for the Poisson’s ratio, the structure of the solutions metamorphous and instead of having three roots, the solutions will develop complex character.

Key words: Homogeneous, isotropic, Rayleigh wave equation, phase velocity, surface wave,             acoustics, critical Poisson’s ratio.

INTRODUCTION
Applications of Rayleigh surface waves, commonly known as ground rolls in exploration seismology 

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