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One-Dimensional Transient Wave Propagation in a Dry Overlying Saturated Ground

  • Geotechnical Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

While the propagation of stress wave generated by dynamic compaction in dry or saturated granular soil has received much coverage in the research literature, attention to situations with dry soil overlying saturated soil, or mixed-phase ground, is limited. In such cases, the compressional waves have to propagate from a dry layer above the groundwater table to saturated soil below the groundwater table. In this paper, the transient wave propagation characteristics in a mixed-phase ground with an idealized interface between the dry and saturated layer is studied. As the time domain solutions for such problems are often unavailable using analytical methods, a numerical approach based on a dual-phase coupled finite element method implemented on a commercial software platform is adopted. The wave behaviour across the interface is studied and the energy transmission and reflection mechanism from dry to saturated layer is examined. The amplitude, speed and attenuation of the compressional waves and their dependencies on the soil permeability, skeleton stiffness and load duration are quantitatively evaluated via a comprehensive parametric study. As a precursor to the numerical investigation of wave propagation in a mixed-phase ground due to dynamic compaction, the results presented in this study are likely to help in providing a better understanding of the ground improvement effect of dynamic compaction in soil involving a groundwater table.

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References

  • Biot, M. A. (1956a). “Theory of propagation of elastic waves in a fluid-saturated porous solid. I. low-frequency range.” The Journal of the Acoustical Society of America, Vol. 28, No. 2, pp. 168–178, DOI: https://doi.org/10.1121/1.1908239.

    Article  MathSciNet  Google Scholar 

  • Biot, M. A. (1956b). “Theory of propagation of elastic waves in a fluid-saturated porous solid. II. higher frequency range.” The Journal of the Acoustical Society of America, Vol. 28, No. 2, pp. 179–191, DOI: https://doi.org/10.1121/1.1908241.

    Article  MathSciNet  Google Scholar 

  • Cetin, H., Fener, M., Söylemez, M., and Günaydin, O. (2007). “Soil structure changes during compaction of a cohesive soil.” Engineering Geology, Vol. 92, No. 1, pp. 38–48, DOI: https://doi.org/10.1016/j.enggeo.2007.03.005.

    Article  Google Scholar 

  • Deresiewicz, H. and Rice, J. (1962). “The effect of boundaries on wave propagation in a liquid-filled porous solid: III. Reflection of plane waves at a free plane boundary (general case).” Bulletin of the Seismological Society of America, Vol. 52, No. 3, pp. 595–625.

    Google Scholar 

  • Feng, S. J., Shui, W. H., Tan, K., Gao, L. Y., and He, L. J. (2011). “Field evaluation of dynamic compaction on granular deposits.” Journal of Performance of Constructed Facilities, Vol. 25, No. 3, pp. 241–249, DOI: 10.1061/(asce)cf.1943-5509.0000160.

    Article  Google Scholar 

  • Gu, Q. and Lee, F. H. (2002). “Ground response to dynamic compaction of dry sand.” Géotechnique, Vol. 52, No. 7, pp. 481–493, DOI: https://doi.org/10.1680/geot.52.7.481.38747.

    Article  Google Scholar 

  • Hajra, S. and Mukhopadhyay, A. (1982). “Reflection and refraction of seismic waves incident obliquely at the boundary of a liquid-saturated porous solid.” Bulletin of the Seismological Society of America, Vol. 72, No. 5, pp. 1509–1533.

    Google Scholar 

  • Han, B., Zdravkovic, L., and Kontoe, S. (2016). “Numerical and analytical investigation of compressional wave propagation in saturated soils.” Computers and Geotechnics, Vol. 75, pp. 93–102, DOI: https://doi.org/10.1016/j.compgeo.2016.01.019.

    Article  Google Scholar 

  • Karagiozova, D. and Alves, M. (2015). “Propagation of compaction waves in cellular materials with continuously varying density.” International Journal of Solids and Structures, Vol. 71, 323–337, DOI: https://doi.org/10.1016/j.ijsolstr.2015.07.005.

    Article  Google Scholar 

  • Kim, S. H., Kim, K. J., and Blouin, S. E. (2002a). “Analysis of wave propagation in saturated porous media. I. Theoretical solution.” Computer Methods in Applied Mechanics and Engineering, Vol. 191, Nos. 37–38, pp. 4061–4073, DOI: https://doi.org/10.1016/S0045-7825(02)00339-0.

    Article  Google Scholar 

  • Kim, S. H., Kim, K. J., and Blouin, S. E. (2002b). “Analysis of wave propagation in saturated porous media. II. Parametric studies.” Computer Methods in Applied Mechanics and Engineering, Vol. 191, Nos. 37–38, pp. 4075–4091, DOI: https://doi.org/10.1016/s0045-7825(02)00335-3.

    Article  Google Scholar 

  • Lee, F. H. and Gu, Q. (2004). “Method for estimating dynamic compaction effect on sand.” Journal of Geotechnical and Geoenvironmental Engineering, Vol. 130, No. 2, pp. 139–152, DOI: 10.1061/(asce)1090-0241(2004)130:2(139).

    Article  Google Scholar 

  • Majdi, A., Soltani, A. S., and Litkouhi, S. (2007). “Mitigation of liquefaction hazard by dynamic compaction.” Proceedings of the Institution of Civil Engineers Ground Improvement, Vol. 11, No. 3, pp. 137–143, DOI: https://doi.org/10.1680/grim.2007.11.3.137.

    Article  Google Scholar 

  • Minaev, O. P. (2014). “Development of dynamic methods for deep compaction of slightly cohesive bed soils.” Soil Mechanics and Foundation Engineering, Vol. 50, No. 6, pp. 251–254, DOI: https://doi.org/10.1007/s11204-014-9242-3.

    Article  MathSciNet  Google Scholar 

  • Philippacopoulos, A. J. (1987). “Waves in a partially saturated layered half-space: Analytic formulation.” Bulletin of the Seismological Society of America, Vol. 77, No. 5, pp. 1838–1853.

    Google Scholar 

  • Plona, T. J. and Johnson, D. L. (1980). “Experimental study of the two bulk compressional modes in water-saturated porous structures.” Ultrasonics Symposium, Boston, MA, USA, pp. 868–872.

    Google Scholar 

  • Qiu, T. and Fox, P. J. (2008). “Numerical analysis of 1-D compression wave propagation in saturated poroelastic media.” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 32, No. 2, pp. 161–187, DOI: 10.1002/nag.621.

    Article  Google Scholar 

  • Schevenels, M., Degrande, G., and Lombaert, G. (2004). “The influence of the depth of the ground water table on free field road traffic-induced vibrations.” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 28, No. 5, pp. 395–419, DOI: 10.1002/nag.342.

    Article  Google Scholar 

  • Shan, Z. D., Ling, D. S., and Ding, H. J. (2011). “Exact solutions for one-dimensional transient response of fluid-saturated porous media.” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 35, No. 4, pp. 461–479, DOI: 10.1002/nag.904.

    Article  Google Scholar 

  • Shan, Z. D., Ling, D. S., Ding, H. J., and Wang, Y. G. (2016). “A semi-analytical solution for the transient response of one-dimensional unsaturated single-layer poroviscoelastic media.” Computers and Geotechnics, Vol. 76, pp. 75–82, DOI: https://doi.org/10.1016/j.compgeo.2016.01.005.

    Article  Google Scholar 

  • Thompson, M. J. and White, D. J. (2008). “Estimating compaction of cohesive soils from machine drive power.” Journal of Geotechnical and Geoenvironmental Engineering, Vol. 134, No. 12, pp. 1771–1777, DOI: 10.1061/(asce)1090-0241(2008)134:12(1771).

    Article  Google Scholar 

  • Vandergrinten, J. G. M., Vandongen, M. E. H., and Vanderkogel, H. (1987). “Strain and pore pressure propagation in a water-saturated porous-medium.” Journal of Applied Physics, Vol. 62, No. 12, pp. 4682–4687, DOI: https://doi.org/10.1063/1.339018.

    Article  Google Scholar 

  • Wu, K. Y., Xue, Q., and Adler, L. (1990). “Reflection and transmission of elastic waves from a fluid-saturated porous solid boundary.” The Journal of the Acoustical Society of America, Vol. 87, No. 6, pp. 2349–2358, DOI: 10.1121/1.399081.

    Article  Google Scholar 

  • Xu, C., Chen, Q., Zhou, J., and Cai, Y. (2015). “Analytical solution of transient dynamic response of spherical cavity in viscoelastic and saturated soils.” KSCE Journal of Civil Engineering, KSCE, Vol. 19, No. 7, pp. 2035–2040, DOI: https://doi.org/10.1007/s12205-015-0552-4.

    Article  Google Scholar 

  • Ye, F. J., Goh, S. H., and Lee, F. H. (2010). “A method to solve Biot’s u-U formulation for soil dynamics applications using the ABAQUS/explicit platform.” Proceedings of the 7th European Conference on Numerical Methods in Geotechnical Engineering, Trondheim, Norway, pp. 417–422.

    Google Scholar 

  • Ye, F. J., Goh, S. H., and Lee, F. H. (2014). “Dual-phase coupled u-U analysis of wave propagation in saturated porous media using a commercial code.” Computers and Geotechnics, Vol. 55, pp. 316–329, DOI: https://doi.org/10.1016/j.compgeo.2013.09.002.

    Article  Google Scholar 

  • Zhang, J., Gu, F., and Zhang, Y. (2019a). “Use of building-related construction and demolition wastes in highway embankment: Laboratory and field evaluations.” Journal of Cleaner Production, Vol. 230, pp. 1051–1060, DOI: https://doi.org/10.1016/j.jclepro.2019.05.182.

    Article  Google Scholar 

  • Zhang, J., Peng, J., Zheng, J., Dai, L., and Yao, Y (2019b). “Prediction of resilient modulus of compacted cohesive soils in South China.” International Journal of Geomechanics, Vol. 19, No. 7, Paper ID: 04019068, DOI: 10.1061/(asce)gm.l943-5622.0001446.

    Google Scholar 

  • Zhang, J., Peng, J., Zheng, J., and Yao Y (2018). “Characterisation of stress and moisture-dependent resilient behaviour for compacted clays in South China.” Road Materials and Pavement Design, Vol. 39, pp. 1–14, DOI: https://doi.org/10.1080/14680629.2018.1481138.

    Google Scholar 

  • Zienkiewicz, O. C, Chang, C. T., and Bettess, P. (1980). “Drained, undrained, consolidating and dynamic behaviour assumptions in soils.” Géotechnique, Vol. 30, No. 4, pp. 385–395, DOI: https://doi.org/10.1680/geot.1980.30.4.385.

    Article  Google Scholar 

  • Zienkiewicz, O. C. and Shiomi, T. (1984). “Dynamic behavior of saturated porous media; The generalized Biot formulation and its numerical solution.” International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 8, No. 1, pp. 71–96, DOI: https://doi.org/10.1002/nag.l610080106.

    Article  Google Scholar 

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Acknowledgements

The study is supported by the National Natural Science Foundation of China (No. 51778091; 51808421) and the Fundamental Research Funds for the Central Universities (WUT: 2019IVB032). Special thanks are also given to Professor Lee Fook Hou of National University of Singapore for his valuable discussions and useful suggestions.

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Authors and Affiliations

  1. School of Civil Engineering, Chongqing University, Chongqing, 400045, China

    Jiang Tao Yi

  2. School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan, 430070, China

    Lei Zhang

  3. Dept. of Civil and Environmental Engineering, National University of Singapore, Singapore, 117576, Singapore

    Fei Jian Ye & Siang Huat Goh

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  1. Jiang Tao Yi
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  2. Lei Zhang
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Correspondence to Lei Zhang.

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Yi, J.T., Zhang, L., Ye, F.J. et al. One-Dimensional Transient Wave Propagation in a Dry Overlying Saturated Ground. KSCE J Civ Eng 23, 4297–4310 (2019). https://doi.org/10.1007/s12205-019-0782-y

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