Sand lenses in clay layers may have various shapes and sizes. In many geotechnical studies, their effects are not considered carefully since detection of their positions and characteristics is difficult. In the simulation of the consolidation in clay layers with imbedded sand lenses, the problem can hardly be taken as a one-dimensional problem, and the phenomenon should be considered as a two- or three-dimensional problem. In the present study, the effect of the existence of sand lenses is investigated in terms of their positions and drainage characteristics in two-dimensional space. All drainage boundary conditions, including the boundary of lenses, are considered to be time dependent due to their variable thicknesses and permeability coefficients. A least squares based mesh free technique is used to solve the governing equations. In this method, radial basis functions are applied in function approximation. The results show the significant effect of the lenses and their characteristics in the process of dissipation of excess pore water pressure.
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References
C. K. Keller, G. Van Der Kamp, and J. A. Cherry, "Hydrogeology of two Saskatchewan tills," J. Hydrol., 101, 97-121 (1988).
T. C. Kessler, K. E. Klint, B. Nilsson, and P. L. Bjerg, "Characterization of sand lenses embedded in tills," Quat. Sci. Rev., 53, 55-71 (2012).
D. J. Evans, E. R. Phillips, J. F. Hemstra, and C. Auton, "Subglacial till: formation sedimentary characteristics and classification," Earth Sci. Rev., 78, 115-176 (2006).
M. Bennett and N. Glasser, Glacial geology: ice sheets and landforms, Wiley Blackwell Publishers, UK, second edition (2009).
H. Gray, "Simultaneous consolidation of contiguous layers of unlike compressible soils," Trans ASCE, 110, 1327-1356 (1945).
R. L. Schiffman and J.R. Stein, "One-dimensional consolidation of layered systems," J. Soil Mech. Found. Div. ASCE., 96, 1499-1504 (1970).
T. Belytschko, Y. Krongauz, D. Organ, and M. Fleming, "Meshless methods: an overview and recent developments," Comput. Methods Appl. Mech. Eng., 139, 3-47 (1996).
G. R. Liu, Mesh Free Methods: Moving Beyond the Finite Element Method, First edition, CRC Press, Boca Raton, Florida (2002).
G. R. Liu and Y. T. Gu, "An Introduction to Meshless Methods and their Programming," Springer, Berlin (2005).
M. H. Afshar and M. Lashckarbolok, "Collocated discrete least-squares (CDLS) meshless method: Error estimate and adaptive refinement," Int. J. Numer. Methods Fluids., 56, 1909-1928 (2008).
G. Mesri, "One-dimensional consolidation of a clay layer with impeded drainage boundaries," Water Resour. Res., 9, 1090-1093 (1973).
K. H. Xie, X. Y. Xie, and X. Gao, "Theory of one-dimensional consolidation of two layerd soil with partially drained boundaries," Comput. Geotech., 24, 256-278 (1999).
J. C. Liu and G. H. Lei, "One- dimensional consolidation of layered soils with exponentially time growing drainage boundaries," Comput. Geotech., 54, 202-209 (2013).
M. Lashckarbolok, E. Jabbari, and K. Vuik, "A node enrichment strategy in collocated discrete least squares meshless method for the solution of generalized Newtonian fluid flow," Scientia Iranica A, 21, 1-10 (2014).
S. N. Atluri and T. Zhu, "A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics," Comput. Mech., 22, 117-127 (1998).
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Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 6, p. 13, November-December, 2016.
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Tabarsa, A. Numerical Simulation of the Consolidation in the Presence of Sand Lenses with Time-Dependent Drainage Boundaries. Soil Mech Found Eng 53, 385–390 (2017). https://doi.org/10.1007/s11204-017-9417-9
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DOI: https://doi.org/10.1007/s11204-017-9417-9