Wave propagation in saturated ground using the volume fractions |
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| Authors: | Chen Rong Kazuya Mitsuji Xue Songtao Yoshihiro Sugimura and Masanori Izumi |
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| Institution: | (1) Institute of Structural Theory, Tongji University, 200092 Shanghai, China;(2) Department of Architecture, Faculty of Engineering, Tohoku University, Sendai, Japan;(3) Department of Engineering Mechanics and Technology, Tongji University, 200092 Shanghai, China |
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| Abstract: | The purpose of this paper is to study the dynamic behavior of soft ground including a porous layer by considering the porosity
change. In order to take the porosity change into account, the concept of the volume fraction, which has been proposed in
continuum mechanics, is introduced. The constitutive equations presented by Bowen are applied to the analysis of the porous
media. According to Bowen's theory, the porosity is considered as a variable called the volume fraction and has its own constitutive
equation. The constitutive equation of the volume fraction has thermoelastic equation coefficients and is determined by the
strains of the solid and the fluid. This means that the compressibilities of the solid and the fluid are considered. When
the special condition is assumed, Bowen's theory can contain Biots's theory, which has been applied in earthquake engineering.
The wave propagation in the ground including a porous layer, modeled by Bowen's theory, is studied and compared with that
of Biot's theory. One-dimensional attenuation and surface amplitude are calculated. The effect of the volume fraction is discussed
with respect to the compressibilities of the solid and the fluid. |
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| Keywords: | volume fraction wave propagation porosity change saturated ground |
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