CPT: Very cost effective, gives estimated stratigraphy (layering and material types) and large number of strength data over the whole site in very little time. (Time is money.) Requires estimating undrained shear strength using semi-empirical factors that aren't as precisely determined as we would like. Estimated material types need to be validated by a few drill holes for index properties (grain sizes, Atterberg limits, water content, visual description).
VST: Still requires empirical adjustment, but regarded by many as more reliable than CPT. Gives sensitivity of clay directly. Not as fast or cheap as CPT, but still much cheaper than undisturbed samples and triaxial tests. The strength results can be used to verify or calibrate the CPT strength results. In each drill hole, VST can be alternated with undisturbed samples for oedometer tests and index properties, or for a few triaxial tests if still needed.
Oedometer tests: Usually need them because preconsolidation pressure governs almost everything with clay behavior, and you generally need to know whether the strengths you measure by CPT and VST are from over-consolidated clays. Besides, you need oedometers to estimate settlement of the embankment.
This is as much time as I will put into this discussion. Like most of the people who use eng-tips, I am happy to help with specific questions, but this is a very general discussion of a complicated topic. Before any further discussion, you should read C.C. Ladd's Terzaghi Lecture on clay strengths, which appeared in the ASCE Journal of Geotechnical Engineering in August of 1991.
![[reading] [reading] [reading]](/data/assets/smilies/reading.gif)
I don't know what country you are writing from, but I believe that almost any university library will have it. You can probably purchase it for download from