Vertical drain consolidation analysis in one, two and three dimensions

Derivation of Universal Curves for Nonlinear Soil Consolidation with Potential Constitutive Dependences

“…The negligible differences are due, no doubt, to the different evolution of the effective pressure along the process caused by the different values of the coefficients k, and v, . Note that as v, duplicates the denominator of the factor o,s k o o (1 + e o )/ w v, H 2 1 , the characteristic time has to double too, as indeed happens. The last two sets study the influence of ÿ, a parameter whose change forces the value 8 Mathematical Problems in Engineering (1 − k, + v, ) to be also changed in order to maintain II constant.…”

“…Since Terzaghi announced his linear consolidation theory [1], more complex models have been proposed. These include 2D and 3D geometries [2], as well as nonlinear problems (with a nonconstant coefficient of consolidation, due to the changes in the hydraulic conductivity and void ratio during the process [3]), for whose solutions numerical techniques are required. However, most nonlinear models focus on solving a particular scenario, i.e., with a very restrictive hypothesis, with no intention of reaching solutions of a universal character which depend of the lowest number of dimensionless parameters.…”

Application of spectral Galerkin method for multilayer consolidation of soft soils stabilised by vertical drains or stone columns

“…Walker [29] showed that radial drainage with vacuum can be added to consolidation equations such as Eq. (2) while maintaining the one-dimensional nature of the partial differential equation.…”

“…Many expressions for l exist depending on the assumed distribution of permeability in the smear zone. Walker [29] presented a l parameter based on a piecewise-constant permeability distribution. In keeping with the piecewise-linear theme explored later in this paper a new expression for l with such a piecewise-linear permeability distribution is presented in Appendix B.…”

Numerical investigation of stone columns system for liquefaction and settlement diminution potential

“…Due to these limitations of physical modeling, it is necessary to develop numerical technique to overcome them. The numerical technique so is investigated by many researchers [10][11][12][13][14][15][16][17][18][19][20].…”