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You need to have a good amount of soil data to establish a good correlation. Less hassle if you are only looking at one soil type. Depending on the project scale, sometime it would be easier to directly measure the actual properties that you are interested with rather than to develop a correlation?

It is possible but you would normally get higher safety factor for the effective stress analysis (ESA) because of the porewater pressure(PWP). PWP used for ESA are normally based on historical data from other stable dams which are not affected by large embankment shear strain, while the the...

Equation FS=ic/i will give safety factor with respect to critical exit gradient against boiling or heave. This failure mode is only applicable to the conditions where a levee is founded directly on cohesionless soil. The safety factor against uplift is more applicable for your case. The...

gINT would be very helpful. They will produce log for you as well some other fancy stuff such as fence diagram etc.

I can't seem to understand the reason to provide hdpe liner horizontally? at about mid height of the earth dam. Is this raising works dor an existing dam or constructing a new one? Multiple piezometric lines can be modelled in slope/w, pretty straight forward. You don't see this use quite often...

Tend to agree with dgillete though, better to control the seepage by providing a chimney or even drainage blanket if you are concern with the under seepage. Unless it is justified to do numerical modelling as suggested by fattdad, which still going to depend on the reliability the parameters...

It is more related to the risk and consequence of failure, though the material properties selection may contribute to it as well i.e. for short term stability you may use the undrained shear strength which can be measured quite easily in the laboratory, where as for the long term stability, it...