Here in Louisville, Ky. (and in a few other cities) the practice of "flushing and jetting" is the de facto standard for trenches under pavements. The local sewer and drainage authority (MSD) has a rather elaborate specification for the sand which is to be subjected to this practice. The specification is based on mathematical regressions through some data, where the data was derived from the impressions of various technicians about which gradation, in their experience, would produce satisfactory results. Science?
As done here, it is a terrible practice. Usually, the results are satisfactory, but "usually" is not a good engineering standard. When the consistency of the placed fill matters, the only defense for using this approach, other than ignorance of geotechnical methods, is that "the contractors are used to it."
Generally, the "lift" thickness of the flushed and jetted material is the depth of the trench - usually over six feet.
By observing - no labs testing - the fill in several trenches which were exposed because of pavement failures, I'd guesstimate that the compactions range upward from about 70% relative (one blow material) to fairly good (five to ten blow material). That is, sometimes the compaction is about what you'd expect to achieve by dumping the sand out of a truck onto the ground. Sometimes it's about what you could get by walking on it.
Very often, perhaps typically, you are able to see reflections of the trench through the asphalt within a year after paving.
Thin lifts followed by compaction. It's easy, it's consistent, it's engineering.