Terzaghi’s basic differential equation for one dimensional consolidation of clayey soils is:

1
\(\frac{{\partial \bar u}}{{\partial t}} = {C_v}\frac{{\partial \bar u}}{{\partial z}}\)
2
\(\frac{{\partial \bar u}}{{\partial z}} = {C_v}\frac{{{\partial ^2}\bar u}}{{\partial {t^2}}}\)
3
\(\frac{{{\partial ^2}\bar u}}{{\partial {t^2}}} = {C_v}\frac{{\partial \bar u}}{{\partial z}}\)
4
\(\frac{{\partial \bar u}}{{\partial t}} = \;{C_v}\frac{{{\partial ^2}\bar u}}{{\partial {z^2}}}\)

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