Inverse problem solution for the dissipation test

Existing dissipation tests differ in the filter position. If the filter is located on the cylindrical shaft 1 D consolidation model is applicable. The paper compares some measured data with the analytical solution of an old and a recently elaborated 1D consolidation models. The model fitting procedure includes the identification of the initial condition and, the coefficient of consolidation. (The usual practice for the inverse problem solution is a “one point” model fitting procedure where the model response is fitted on the t50 measured dissipation time.) The analytical pore water pressure solution of the Soderberg (1962) model: