Theoretical Equations of Vertical and Radial Consolidation by Equating Degrees of Consolidation by Settlement Analysis and Dissipation of Pore Pressure

Abstract

Degree of consolidation, U, is defined in two ways: (1) by settlement analysis and (2) by dissipation of pore pressure. Equations of vertical and radial consolidations are derived by equating the above two U. The new equations are compared with the existing equations of vertical and radial consolidations. It is shown that new equation of radial consolidation is exactly same as Barron's equation of equal strain radial consolidation while in case of vertical consolidation it is similar to later part of Terzaghi's equation of vertical consolidation. A few possible reasons and advantages of comparison are given. The theory of rapid loading methods is based on the equality of these two degrees of consolidations. It is concluded that in rapid loading methods the next load increment can be applied at any time in radial consolidation once the effects of initial compression are over. However, in vertical consolidation it can be applied only after 60% consolidation.

One-Dimensional Consolidation Properties of Soft Clay under Multi-Stage Loading

“…Excess pore pressure is generated in soil when it is subjected to external loads. The water present in the soil pores is gradually discharged, leading to a reduction in excess pore pressure [24,25]. The rate at which this dissipation occurs is commonly quantified using the consolidation coefficient (C v ).…”

Principle of Super Position of Rate of Settlement in 2D and 3D Consolidations

“…10 and 13, it can be shown that it leads to the following experimental Eq. 32 (Tewatia 2010;Tewatia et al 2012Tewatia et al , 2013 …”

“…After 60 % consolidation vertical consolidation and radial consolidation, both are linear on d-dd/dt plot (Tewatia 1998(Tewatia , 2010Tewatia et al 2007Tewatia et al , 2012Tewatia et al , 2013. Here, the lines OA and OB are the lines joining points O and A, and O and B.…”