One should also check the moisture contet of the compaction tests that give the higher than standard Proctor densities and compare this wth the standard Procture optimum moisture. Generally, the higher compaction density results are associated with heavier field compaction effort. Hence you would be in the realm of results more comparable to the results of a modified Proctor compaction test.
The only thing that one should look out for despite that a high compaction is achieved is how is this higher compacted material likely to behave. If the moisture content is about 5% lower than the standard Proctor optimum then I would accept the compaction as suitable as today's compactors tend to give larger density results at times. I would also and consider the moisture if about 5% lower to be around the optimum moisture of the modified test. However, if the the moisture is less than 2 to 3% of the the modified compaction moisture and the density is higher than the Standard Proctor then I would rework the ground and add moisture. The same situation would be applicable if the density was below the standard Proctor density and moisture lower than optimum.
For the higher compacted soils at moisture less than their corresponding optimum, there is a tendency for them to lose strength much more rapidly than a soil that is compacted at a lower density but with moisture at or slightly greater than optimum. If I am constructing a roadbed, I would prefer to have my soil in a state where the strength does not deteriorate with in service moisture movement.
It is common practice for Contractors to achieve high densities on clay type soils with low moistures and argue when they have been told to add moisture as the moisture requirement is not satisfied. Equally as well many Engineers, are puzzled and they often pass such jobs as high compated density should equate with a superior material.
Having said the above it is equally necessary to understand the soil that you are working with i.e. all dogs of the same colour do not have the same names. Soils that appear to the eye as clay etc do not all behave the same. If one takes moulded samples of a low to intermediate plasticity clay made at different moistures and immerse them in water one can radily determine what their propensity for water absorption is like. The same can be done for materials that appear similar to study the difference in behaviour.
Some of this is learned in the field by diligent observation together with examining closely the material structure by getting one's "hands dirty" rather than asking the tech to see the density sheets with numbers.
The above is my opinion which may be in disagreement with the experience of others and is based on trying at all times to ensure that the Tech in the field needs guidance as he is often the one that has to make the call. The Engineer knows after and unfortunately this is where the Engineer should be but the practice today is such.
There should be a pre-requisite that all new Techs and Engineers spend some time in the field not running Nukes but sand cone and volutester. With the sand cone digging the holes leaves a lot of memory in the brain as pain equals gain. This forces one to get intimate with the soil and results attained. There is also the need to conduct some more practical resesrch on compaction which we have taken for granted, but on which so much of our design relies on at times.
[Cheers]