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Abstract It is supposed that the constitutive relation of soil is the hyperbola model. The hyperbolic relationship between e and s ¢，which was achieved from this model，is applied to the study on one-dimensional nonlinear consolidation of one-layered and homogeneous saturated soil. With the assumptions that the decrease of the hydraulic conductivity is proportional to the decrease of the compression conductivity and the distribution of initial effective pressure does not vary with depth，the one-dimensional nonlinear partial differential consolidation equation，which is under arbitrary loading，is deduced. With the x -s ¢ transform，the nonlinear partial differential equation is changed into a linear one. According to the idiographic initial condition and the boundary conditions，the equation is then solved by using the variable separation method. Then the effective stress of soil and the excess water pore pressure can be achieved. So the correlation approach of the average consolidation degree，which is defined according to the settlement，and the correlation approach of the average consolidation degree that is defined according to the excess pore pressure are both deduced. The relevant computer program has been developed by MATLAB language. The results using this program are gained with the data from a specific example and the nonlinear consolidation theory with the same data. Both of the results are drawn in two charts. By comparing the curves from the charts，it is found that the differences between the two results are very small，which shows the rationality of this theory. The calculation shows that the consolidation degrees increase with the increment of time；and the value of the Us is a little bigger than that of the Up. When the consolidation equation is deduced，the different relationships between e and can be obtained. The different changing laws of hydraulic conductivity are adopted，and it clearly displays that the small differences in the results with the two different theories.
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Received: 13 July 2006
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