  Terzaghi's one-dimensional consolidation equation simulates the visco-elastic
behaviour of soils depending on the loads applied as it happens, for example,
when foundation are laid and start carrying the weight of the structure. Its
application is traditionally based on Taylor's solution that approximates
experimental results by introducing non-theoretical variables that, however,
contradict the actual behaviou of soils. After careful examination of the
theoretical and experimental aspects connected with consolidation, the proposal
of this research is a solution consisting in a non-linear equation that can be
considered correct as it meets both mathematical and experimental requirements.
The solution proposed is extended to include differential equations relating to
two/three dimensional consolidation by adopting a transversally isotropic model
more consistent with the inner structure of soils. Finally, this essay is
complete with application examples that give more reliable results than the
traditional solution. Future developments are also highlighted considering that
the uniqueness theorem has not been proven yet.
