Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2018, Article ID 4573780, 9 pages
https://doi.org/10.1155/2018/4573780
Research Article

Analytical Solution and Application for One-Dimensional Consolidation of Tailings Dam

1Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming, Yunnan 650224, China
2State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China

Correspondence should be addressed to Hai-ming Liu; moc.361@1780gnimiah

Received 10 November 2017; Revised 16 January 2018; Accepted 12 February 2018; Published 19 March 2018

Academic Editor: Shuo Wang

Copyright © 2018 Hai-ming Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. K. Terzaghi, Theoretical Soil Mechanics, John Wiley & Sons, New York, NY, USA, 1943. View at Publisher · View at Google Scholar
  2. R. L. Schiffman and J. R. Stein, “One-dimensional consolidation of layered systems,” Journal of the Soil Mechanics and Foundations Division, vol. 96, no. 4, pp. 1499–1504, 1970. View at Google Scholar
  3. R. E. Olson, “Consolidation under time-dependent loading,” Journal of the Geotechnical Engineering Division, vol. 103, no. 1, pp. 55–60, 1977. View at Google Scholar
  4. Y.-Q. Cai, X.-Y. Geng, and C.-J. Xu, “Solution of one-dimensional finite-strain consolidation of soil with variable compressibility under cyclic loadings,” Computers & Geosciences, vol. 34, no. 1, pp. 31–40, 2007. View at Publisher · View at Google Scholar · View at Scopus
  5. N. Müthing, S. S. Razouki, M. Datcheva, and T. Schanz, “Rigorous solution for 1-D consolidation of a clay layer under haversine cyclic loading with rest period,” SpringerPlus, vol. 5, no. 1, article no. 1987, 2016. View at Publisher · View at Google Scholar · View at Scopus
  6. A. Qin, D. Sun, and J. Zhang, “Semi-analytical solution to one-dimensional consolidation for viscoelastic unsaturated soils,” Computers & Geosciences, vol. 62, pp. 110–117, 2014. View at Publisher · View at Google Scholar · View at Scopus
  7. L. Wang, D. Sun, P. Li, and Y. Xie, “Semi-analytical solution for one-dimensional consolidation of fractional derivative viscoelastic saturated soils,” Computers & Geosciences, vol. 83, pp. 30–39, 2017. View at Publisher · View at Google Scholar · View at Scopus
  8. R. E. Gibson, “The Progress of Consolidation in a Clay Layer Increasing in Thickness with Time,” Géotechnique, vol. 8, no. 4, pp. 171–182, 1958. View at Publisher · View at Google Scholar
  9. S. S. Razouki and T. Schanz, “One-dimensional consolidation under haversine repeated loading with rest period,” Acta Geotechnica, vol. 6, no. 1, pp. 13–20, 2011. View at Publisher · View at Google Scholar · View at Scopus
  10. S. S. Razouki, P. Bonnier, M. Datcheva, and T. Schanz, “Analytical solution for 1D consolidation under haversine cyclic loading,” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 37, no. 14, pp. 2367–2372, 2013. View at Publisher · View at Google Scholar · View at Scopus
  11. M. S. Mahmoud and H. Deresiewicz, “Settlement of inhomogeneous consolidating soils—I: The single‐drained layer under confined compression,” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 4, no. 1, pp. 57–72, 1980. View at Publisher · View at Google Scholar · View at Scopus
  12. G. Zhu and J.-H. Yin, “Analysis and mathematical solutions for consolidation of a soil layer with depth-dependent parameters under confined compression,” International Journal of Geomechanics, vol. 12, no. 4, pp. 451–461, 2012. View at Publisher · View at Google Scholar · View at Scopus
  13. X. W. Tang, B. Niu, G. C. Cheng, and H. Shen, “Closed-form solution for consolidation of three-layer soil with a vertical drain system,” Geotextiles and Geomembranes, vol. 36, pp. 81–91, 2013. View at Publisher · View at Google Scholar · View at Scopus
  14. G.-X. Mei and Q.-M. Chen, “Solution of Terzaghi one-dimensional consolidation equation with general boundary conditions,” Journal of Central South University, vol. 20, no. 8, pp. 2239–2244, 2013. View at Publisher · View at Google Scholar · View at Scopus
  15. B. C. Hawlader, B. Muhunthan, and G. Imai, “State-dependent constitutive model and numerical solution of self-weight consolidation,” Géotechnique, vol. 58, no. 2, pp. 133–141, 2008. View at Publisher · View at Google Scholar · View at Scopus
  16. M. A. Rahalt and A. R. Vuez, “Analysis of settlement and pore pressure induced by cyclic loading of silo,” Journal of Geotechnical and Geoenvironmental Engineering, vol. 124, no. 12, pp. 1208–1210, 1998. View at Publisher · View at Google Scholar · View at Scopus
  17. E. H. Davis and G. P. Raymond, “A non-linear theory of consolidation,” Géotechnique, vol. 15, no. 2, pp. 161–173, 1965. View at Publisher · View at Google Scholar
  18. E. Conte and A. Troncone, “Soil layer response to pore pressure variations at the boundary,” Géotechnique, vol. 58, no. 1, pp. 37–44, 2008. View at Publisher · View at Google Scholar · View at Scopus
  19. V. Pane and R. L. Schiffman, “A note on sedimentation and consolidation,” Géotechnique, vol. 35, no. 1, pp. 69–72, 1985. View at Publisher · View at Google Scholar
  20. R. E. Gibson, “A heat conduction problem involving a specified moving boundary,” Quarterly of Applied Mathematics, vol. 16, no. 4, pp. 426–430, 1959. View at Publisher · View at Google Scholar · View at MathSciNet
  21. R. L. Schiffman, “Consolidation of soil under time-dependent loading and varying permeability,” in Proceedings of the Thirty-Seventh Annual Meeting of the Highway Research Board, vol. 37, pp. 584–617, 1958.
  22. K. S. He, Z. J. Shen, and X. X. Peng, “The comparison of large strain method using total and updated Lagrangian finite element formulation and small strain method,” Chinese Journal of Geotechnical Engineering, vol. 22, no. 1, pp. 30–34, 2000. View at Google Scholar
  23. G. Mesri and R. E. Olson, “Mechanisms controlling the permeability of clays,” Clays and Clay Minerals, vol. 19, no. 3, pp. 151–158, 1971. View at Publisher · View at Google Scholar · View at Scopus
  24. Y.-C. Zhuang, K.-H. Xie, and X.-B. Li, “Nonlinear analysis of consolidation with variable compressibility and permeability,” Journal of Zhejiang University (Engineering Science), vol. 6, no. 3, pp. 181–187, 2005. View at Publisher · View at Google Scholar · View at Scopus
  25. E. Conte and A. Troncone, “Nonlinear consolidation of thin layers subjected to time-dependent loading,” Canadian Geotechnical Journal, vol. 44, no. 6, pp. 717–725, 2007. View at Publisher · View at Google Scholar · View at Scopus