Propagation Attenuation of Plane Waves in Saturated Soil by Pile Barriers
Publication: International Journal of Geomechanics
Volume 17, Issue 9
Abstract
Extensive studies of pile barriers have been published in recent years. However, one important item in particular has been overlooked: the attenuation properties of multiple rows of piles embedded in fluid-saturated poroelastic soils. This paper investigates the propagation and attenuation of plane waves in fluid-saturated poroelastic soil by multiple rows of piles. First, the attenuation zones of a two-dimensional (2D) periodic structure consisting of piles and saturated soil are studied on the basis of the periodic theory of solid-state physics. The effects of physical parameters, such as the density and elastic modulus of soil, and geometric parameters of pile barriers on the attenuation zones are investigated comprehensively. Second, a numerical analytical model for ambient vibration attenuation using pile barriers is built, and the response analysis is performed in the frequency domain. Results of the present investigation provide a new concept for designing pile barriers to block midfrequency vibration in fluid-saturated poroelastic soil.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work is supported by the National Natural Science Foundation of China (Grant 51678046).
References
Allard, J., and Atalla, N. (2009). Propagation of sound in porous media: Modelling sound absorbing materials, 2nd Ed., John Wiley & Sons, Chichester, U.K.
Avilés, J., and Sánchez-Sesma, F. J. (1983). “Piles as barriers for elastic waves.” J. Geotech. Engrg., 1133–1146.
Avilés, J., and Sánchez-Sesma, F. J. (1988). “Foundation isolation from vibrations using piles as barriers.” J. Eng. Mech., 1854–1870.
Biot, M. A. (1956a). “Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range.” J. Acoust. Soc. Am., 28, 168–178.
Biot, M. A. (1956b). “Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range.” J. Acoust. Soc. Am., 28, 179–191.
Boroomand, B., and Kaynia, A. M. (1991a). “Vibration isolation by an array of piles.” Proc., 5th Int. Conf. on Soil Dynamics and Earthquake Engineering, Elsevier Applied Science, Karlsruhe, Germany, 683–691.
Boroomand, B., and Kaynia, A. M. (1991b). “Stiffness and damping of closely spaced pile groups.” Proc., 5th Int. Conf. on Soil Dynamics and Earthquake Engineering, Elsevier Applied Science, Karlsruhe, Germany, 490–501.
Briaud, J.-L., Li, Y., and Rhee, K. (2006). “BCD: A soil modulus device for compaction control.” J. Geotech. Geoenviron. Eng., 108–115.
Cai, Y.-Q., Ding, G.-Y., and Xu, C.-J. (2008). “Screening of plane S waves by an array of rigid piles in poroelastic soil.” J. Zhejiang Univ. Sci. A, 9(5), 589–599.
Cai, Y. Q., Ding, G. Y., and Xu, C. J. (2009). “Amplitude reduction of elastic waves by a row of piles in poroelastic soil.” Comput. Geotech., 36(3), 463–473.
COMSOL Multiphysics 5.1 [Computer software]. COMSOL, Burlington, MA.
Das, B. M. (2010). Principles of geotechnical engineering, PWS, Boston.
Gao, G. Y., Li, Z. Y., Qiu, C., and Yue, Z. Q. (2006). “Three-dimensional analysis of rows of piles as passive barriers for ground vibration isolation.” Soil Dyn. Earthquake Eng., 26(11), 1015–1027.
Gatmiri, B., and Eslami, H. (2007). “Scattering of harmonic waves by a circular cavity in a porous medium: Complex functions theory approach.” Int. J. Geomech., 371–381.
Gupta, S., Degrande, G., and Lombaert, G. (2009a). “Experimental validation of a numerical model for subway induced vibrations.” J. Sound Vib., 321(3–5), 786–812.
Gupta, S., Stanus, Y., Lombaert, G., and Degrande, G. (2009b). “Influence of tunnel and soil parameters on vibrations from underground railways.” J. Sound Vib., 327(1–2), 70–91.
Huang, J. K., and Shi, Z. F. (2013a). “Attenuation zones of periodic pile barriers and its application in vibration reduction for plane waves.” J. Sound Vib., 332(19), 4423–4439.
Huang, J. K., and Shi, Z. F. (2013b). “Application of periodic theory to rows of piles for horizontal vibration attenuation.” Int. J. Geomech., 132–142.
Huang, J. K., and Shi, Z. F. (2015). “Vibration reduction of plane waves using periodic in-filled pile barriers.” J. Geotech. Geoenviron. Eng., 04015018.
Kattis, S. E., Polyzos, D., and Beskos, D. E. (1999a). “Modelling of pile wave barriers by effective trenches and their screening effectiveness.” Soil Dyn. Earthquake Eng., 18(1), 1–10.
Kattis, S. E., Polyzos, D., and Beskos, D. E. (1999b). “Vibration isolation by a row of piles using a 3-D frequency domain BEM.” Int. J. Numer. Methods Eng., 46(5), 713–728.
Kushwaha, M. S., Halevi, P., Martinez, G., Dobrzynski, L., and Djafari-Rouhani, B. (1994). “Theory of acoustic band structure of periodic elastic composites.” Phys. Rev. B: Condens. Matter, 49(4), 2313–2322.
Leong, E. C., and Cheng, Z. Y. (2016). “Effects of confining pressure and degree of saturation on wave velocities of soils.” Int. J. Geomech., 4016013.
Liang, F. Y., and Song, Z. (2014). “BEM analysis of the interaction factor for vertically loaded dissimilar piles in saturated poroelastic soil.” Comput. Geotech., 62(Oct), 223–231.
Liang, F. Y., Song, Z., and Guo, W. D. (2014). “Group interaction on vertically loaded piles in saturated poroelastic soil.” Comput. Geotech., 56(Mar), 1–10.
Liu, X. N., Shi, Z. F., and Mo, Y. L. (2015). “Comparison of 2D and 3D models for numerical simulation of vibration reduction by periodic pile barriers.” Soil Dyn. Earthquake Eng., 79, 104–107.
Lu, J.-F., and Jeng, D.-S. (2008). “Poroelastic model for pile-soil interaction in a half-space porous medium due to seismic waves.” Int. J. Numer. Anal. Methods Geomech., 32(1), 1–41.
Mavko, G., Dvorkin, J., and Mukerji, T. (2009). The rock physics handbook: Tools for seismic analysis of porous media, Cambridge Univ. Press, New York.
Richart, F. E., Hall, J. R., and Woods, R. D. (1970). Vibrations of soils and foundations, Prentice-Hall, Englewood Cliffs, NJ.
Tsai, P.-H., Feng, Z.-Y., and Jen, T.-L. (2008). “Three-dimensional analysis of the screening effectiveness of hollow pile barriers for foundation-induced vertical vibration.” Comput. Geotech., 35(3), 489–499.
Tsai, P.-H., Feng, Z.-Y., and Lin, S.-Y. (2011). “A wavelet based method for estimating the damping ratio in statnamic pile load tests.” Comput. Geotech., 38(2), 205–216.
Woods, R. D., Barnett, N. E., and Sagesser, R. (1974). “Holography—A new tool for soil dynamics.” J. Geotech. Engrg. Div., 100, 1231–1247.
Wu, J., Wu, S. M., and Cai, Y. Q. (1996). “Characteristics of propagation of elastic waves in saturated soils.” J. Vib. Eng., 9, 128–137.
Xia, T.-D., Sun, M.-M., Chen, C., Chen, W.-Y., and Xu, P. (2011). “Analysis on multiple scattering by an arbitrary configuration of piles as barriers for vibration isolation.” Soil Dyn. Earthquake Eng., 31(3), 535–545.
Xu, B., Lu, J.-F., and Wang, J.-H. (2010). “Dynamic responses of a pile embedded in a layered poroelastic half-space to harmonic lateral loads.” Int. J. Numer. Anal. Methods Geomech., 34(5), 493–515.
Xu, B., Lu, J.-F., and Wang, J.-H. (2011). “Dynamic responses of pile groups embedded in a layered poroelastic half-space to harmonic axial loads.” J. Vib. Acoust. Trans., 133(2), 021003.
Zienkiewicz, O. C., Emson, C., and Bettess, P. (1983). “A novel boundary infinite element.” Int. J. Numer. Methods Eng., 19(3), 393–404.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 17 • Issue 9 • September 2017
Copyright
© 2017 American Society of Civil Engineers.
History
Received: Nov 10, 2015
Accepted: Mar 15, 2017
Published online: May 19, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 19, 2017
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.