# Critical Probabilistic Surface

If the Probabilistic Analysis Type = Overall Slope, then the Critical Probabilistic slip surface can be displayed with the Show Critical Probabilistic Surface option in the toolbar or the Statistics menu. This is the slip surface, of all slip surfaces analyzed, which has the Minimum Reliability Index. By definition, this slip surface also has the Maximum Probability of Failure.

The Critical Probabilistic Surface WILL NOT NECESSARILY BE THE SAME AS THE CRITICAL DETERMINISTIC SLIP SURFACE (i.e. the slip surface with the lowest safety factor when all input parameters are equal to their mean value). In general, the Critical Probabilistic Surface and the Critical Deterministic Surface (i.e. the deterministic Global Minimum slip surface), can be different surfaces.

Also, the RI of the Critical Probabilistic Surface will NOT be equal to the RI which is obtained using the aggregate safety factor data of all of the different Global Minimum slip surfaces which are located by the Overall Slope analysis.

• The RI of the Critical Probabilistic Surface will always be GREATER THAN the RI for the entire analysis (i.e. the RI displayed in the Legend).
• The PF of the Critical Probabilistic Surface will always be LESS THAN the PF for the entire analysis (i.e. the PF displayed in the Legend).

The Critical Probabilistic Surface, therefore provides a less conservative measure of the probabilistic slope stability, compared to the results reported using ALL Global Minimum surfaces located by the Overall Slope analysis.

## When is it applicable?

The critical probabilistic surface is the surface with the highest probability of failing. This requires the surface to exist in all of the samples calculated. The only search methods that guarantee the same surfaces from sample to sample are Grid search, Slope search, Path search, and Block search. All metaheuristic methods will have different surfaces from sample to sample as they're smart hunting algorithms. For these methods, the option is disabled. So the bottom line is that its of limited use these days, in fact it's more legacy. Remember, probabilistic predates the smart hunting algorithms.

Given that an applicable search method has been used, if you have used the Optimization search option (selected in the Surface Options dialog in the Slide2 Model program), then the Critical Probabilistic Surface will NOT INCLUDE the optimized surfaces. Again, this is because the optimized surface changes each time the analysis is run, using different input data. However, if you have used the Optimization option, the Critical Probabilistic Surface WILL BE CALCULATED using all of the original surfaces generated by your initial search method (e.g. Block Search or Path Search).

Finally, the option is disabled if Ky Seismic advanced analysis is turned on.

In short, this is a legacy method with limited functionality in the days of metaheuristic searching and local optimization.