2011/03/31 by Romolo Di Francesco, Di Francesco, Romolo
Engineering · #FOS: Physical sciences #Geophysics (physics.geo-ph) #Soil, Finite Element Methods
paper · pdf · doi:10.48550/arxiv.1103.6084
openalex publication_date 2011/03/31 · openalex created_date 2022/09/01 · openalex updated_date 2026/07/28
The exact solution of Terzaghi's consolidation equation has further\nhighlighted the limits of this theory in the one-dimensional field as, like\nTaylor's approximate solution, it overestimates the decay times of the\nphenomenon; on the other hand, one only needs to think about the accumulation\npattern of sedimentary-basin soils to understand how their internal structure\nfits in more with the model of transversely isotropic medium, so as to result\nin the development of two- and three-dimensional consolidation models. This is\nthe reason why, using Terzaghi's theory and his exact solution as starting\npoint, two-dimensional and three-dimensional consolidation equations have been\nproposed, in an attempt to find their corresponding exact solutions which\nconstitute more reliable forecasting models. Lastly, results show how this\nphenomenon is predominantly influenced by the dimensions of the horizontal\nplane affected by soil consolidation and permeabilities that behave according\nto three coordinate axes.\n