Analytical solution to 1D large strain consolidation for prediction of final density and back analysis of parameters

This paper provides closed form solutions to 1D consolidation incorporating two different forms of compressibility relationships (e vs log p and power curves), single and two-way drainage and with and without the effects of overburden. These solutions can be used in a variety of ways, such as determining final density of tailings profiles based on compressibility parameters, specific gravity and stored mass, determining the increase in tailings settlement due the placement of overburden and back analysis of tailings compressibility parameters based on the initial mass and settled height of column testing.

The paper shows the derivation of the closed form expressions for the different compressibility relationships and drainage conditions. Examples provide the applications based on publicly sourced data and data available to the authors. It can be shown that the closed form solutions closely match results derived from numerical analysis of consolidation including large strain effects. Steps to derive a final density profile are also provided with examples.