ABSTRACT
Advancements in soil consolidation are discussed and further improvements proposed with particular reference to Tewatia’s Y-Y’ Calculus that is known as Settlement versus Rate of Settlement Approach in consolidation. A branch of calculus named as Y-Y’ (or y versus dy/dx) is suggested (as compared to the common X-Y’, x versus dy/dx, dy/dx versus x or Newton-Leibniz branch) that solves some complicated/unsolved theoretical and practical problems in physical sciences (Physics, Chemistry, Mathematics, Biology and allied sciences) and engineering in amazingly simple and short manner, particularly when independent variable X is unknown and X-Y’ Approach can’t be used. Complicated theoretical and practical problems in 1D, 2D, 3D Primary and Secondary consolidations with non-uniform gradual loading and irregular shaped clays are solved with elementary school level Y-Y’ Approach. Some particular cases from soil consolidation that are basically creep and diffusion equations in isolation and in combination with each other are taken for comparison with heat and electricity transfer. The Y-Y’ Approach can similarly be applied in wave equations and other fields wherever normal calculus works or fails.
