Analysis of One-Dimensional Consolidation of Non-Homogeneous Layer with Exponential Flow Law

Abstract:

Based on exponential flow law, the analytical solution to the one-dimension consolidation governing differential equation was deduced when the laws of permeability and compressibility coefficients with depth can be expressed as exponential function. By finite difference method, the numerical solution of excess pore water pressure and degree of consolidation was obtained, then the reliability of numerical solution is verified by comparing numerical results with analytical results, and consolidation behavior of non-homogeneous layer with exponential flow law under various parameters is analyzed. The results showed that under the condition of the two-sided drainage, the heterogeneity of foundation consolidation of index of seepage speed depends on the index of the size and the size of the non-uniform parameters. That is when the index m is bigger, increase the permeability coefficient, reduce the compression coefficient, the consolidation is faster, but the inhomogeneous parameters are still play a decisive role.

• Periodical: Applied Mechanics and Materials (Volumes 638-640)
• Pages: 374-379
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.638-640.374
• Online since: September 2014
• Authors: Feng Xi Zhou*, Yi Ming He, Ying Xin
• Keywords: Exponential Flow Law, Exponential Function, Non-Homogeneous Soil, One-Dimensional Consolidation

References

[1] Terzaghi K. Erdbaumechanik and bodenphysikalischer grundlage. (Lpz Deuticke, 1925. ).

[2] Davis E H, Raymand G P. A non - linear theory of consolidation. Geotechique, vol. 15 No. 2 (1965), pp.161-173.

[3] Fox P J. Coupled large strain consolidation and solute transport. I: Model development. Journal of geotechnical and geoenvironmental engineering, vol. 133 No. 1 (2007), pp.3-15.

DOI: 10.1061/(asce)1090-0241(2007)133:1(3)

[4] Battaglio M, Bonzani I, Campolo D. Nonlinear consolidation models of clay with time dependant drainage properties[J]. Mathematical and computer modelling, vol. 42 No. 5 (2005), pp.613-620.

DOI: 10.1016/j.mcm.2004.06.024

[5] W Jiang, K H Xie, J Z Xia. Analytical Solution to 1-D Consolidation of Soft Clay with the Modulus of Compressibility Varying Linearly along Depth. Bulletin of Science and Technology, vol. 19 No. 6 (2003), pp.452-456. (In Chinese).

[6] Li B H, Xie K H. Semi-analytical Solution of One Dimensional Non-linear Consolidation of Soft Clay. Chinese Journal of Geotechnical Engineering, vol. 21 No. 3(1999), pp.288-293. (In Chinese).

[7] D G Pan, S C Wu, L L Zhu, G H Wang. One- dimension consolidation of soil layer with the soil properties as a power function of depth. Journal of University of Science and Technology Beijing, vol. 30 No. 10 (2008), pp.1085-1089. (In Chinese).

[8] Hansbo S. Deviation from Darcy's law observed in one-dimensional consolidation. Geotechnique, vol. 53 No. 6 (2003), pp.601-605.

DOI: 10.1680/geot.2003.53.6.601

[9] Dubin B , Moulin G. Influence of a critical gradient on the consolidation of clays[C]/Consolidation of soils Testing and Evaluation. (West Conshohocken: American Society for Testing and Materials, 1986, pp.354-377. ).

DOI: 10.1520/stp34623s

[10] J E, G Chen, A R Sun. One-dimensional consolidation of saturated cohesive soil considering non-Darcy flows. Chinese Journal of Geotechnical Engineering，vol. 31 No. 7 (2009), pp.1115-1119. (In Chinese).

[11] C X Li, K H Xie, M M Lu. One-dimensional consolidation analysis considering exponential flow law and time-depending loading. Chinese Journal of Geotechnical Engineering, vol. 32 No. 2 (2011), pp.553-559. (In Chinese).

[12] Slepick A F. Contribution to the solution of the filtration law. ( International Union of Geodesy and Geophysics, Commission of Subterranean Waters. Helsinkl: [s. n. ], 1960, pp.245-258. ).