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Pore Pressure Development: Probability Analysis

The development and subsequent dissipation of excess pore pressure, p in a soil deposit subject to an external load is examined using probability concepts that account for uncertainties in C v , the coefficient of consolidation. A shifted gamma probability density function models the variation in C v . Expressions are derived for mean and variance of p as functions of the mean time factor, the coefficient of variation v in C v and the proportion of minimum value 'a' to average value of C v . It is shown that the scatter in C v has a significant effect on the consolidation process. The study results are presented in dimensionless quantities for use in geotechnical analysis.