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Further reliability analysis following first order reliability method (FORM) has been carried out using high quality SPT and CPT database, which considers both model and parameter uncertainties. The uncertainties of input parameters were obtained from the database. But, a rigorous reliability analysis associated with the Bayesian mapping function approach was followed to estimate model uncertainty of the limit state, which has been represented by a lognormal random variable, and is characterized in terms of its two statistics, namely, the mean and the coefficient of variation. Four examples, two from SPT data (one liquefied and the other non-liquefied case) and the other two from CPT data (one liquefied and the other non-liquefied case), have been illustrated to show the procedure of reliability-based liquefaction potential evaluation in terms of notional probability of liquefaction (PL) considering the corresponding true model uncertainty as obtained for SPT and CPT-based limit state models in the analysis.
The development of compact and comprehensive model equation using deterministic methods based on both SPT and CPT data will enable geotechnical professional to use it with confidence and ease. The presentation of probabilistic methods in conjunction with deterministic factor of safety (Fs) value gives the measure of probability of liquefaction corresponding to particular Fs. The present works also illustrate the effect of model and parameter uncertainties while discussing the reliability analysis. Design harts have been presented and discussed with examples using both SPT and CPT data.",
Genetic Programming entries for Pradyut Kumar Muduli