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THE δ MATRIX METHOD FOR THE DISPERSION FUNCTION COMPUTATION OF AXISYMMETRICAL CYLINDRICAL RAYLEIGH WAVE IN MULTILAYERED MEDIA |
FAN You-hua1, XIAO Bai-xun2, LIU Jia-qi1 |
1. Department of Astronaut Engineering and Mechanics, Harbin Institute of Technology, Harbin 150001, China;
2. Institute of Changjiang Engineering Geophysical Prospecting, Wuhan 430010, china |
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Abstract In this paper, the authors applied the δ matrix method to the computation of dispersion function of axisymmetrical cylindrical Rayleigh wave in multilayered media. Three methods were deduced, namely 6-order δ matrix algorithm, 5-order δ matrix algorithm and fast δ matrix algorithm. The problem of losing numerical precision and that of numerical overflow under high frequency were solved satisfactorily, and the computation speed was enhanced. The numerical computation and the application to engineering have verified the authors' methods and demonstrated that these methods can also be used to solve the dispersion curves of plane Rayleigh wave in multilayered media.
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Received: 22 August 2000
Published: 24 April 2001
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