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Surface Waves in Geomechanics: Direct and Inverse Modelling for Soils and Rocks pp 203–276Cite as

Elastic modelling of surface waves in single and multicomponent systems

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Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 481))

Abstract

The main aim of this article is to present a review of most important acoustic surface waves which are described by linear one- and two-component models. Among the waves in one-component linear elastic media we present the classical Rayleigh waves on a plane boundary, Rayleigh waves on a cylindrical surface, Love waves, Stoneley waves (solid/solid and fluid/solid interface). In the second part of the article we discuss two two-component models of porous materials (Biot’s model and a simple mixture model). We indicate basic differences of the models and demonstrate qualitative similarities. We introduce as well some fundamental notions yielding the description of surface waves in two-component systems (saturated porous materials) and review certain (porous materials with impermeable boundaries) asymptotic results for such waves. However, the full discussion of this subject including numerous results of computer calculations can be found in the article of B. Albers (2005) also included in this volume.

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  1. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117, Berlin, Germany

    Krzysztof Wilmański

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  1. Krzysztof Wilmański
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  1. Eucentre, Pavia, Italy

    Carlo G. Lai

  2. Weierstrass Institut-Wias, Berlin, Germany

    Krzysztof Wilmański

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Wilmański, K. (2005). Elastic modelling of surface waves in single and multicomponent systems. In: Lai, C.G., Wilmański, K. (eds) Surface Waves in Geomechanics: Direct and Inverse Modelling for Soils and Rocks. CISM International Centre for Mechanical Sciences, vol 481. Springer, Vienna. https://doi.org/10.1007/3-211-38065-5_5

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  • DOI: https://doi.org/10.1007/3-211-38065-5_5

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