You've got a few questions in this quote:
How deep must the logs be buried? Did you have to haul in top soil, or excavate another part of your property? Are you using exclusively quality garden soil, or do lower quality soils work at the beginning?
As with most things permacultural, the general answers are almost invariably... it depends. All of these questions will depend on other people's preferences and circumstances. There are no set answers, though Sepp might disagree.
My answers:
Question 1.) The logs do not have to be buried deeply, but typically they are buried deeply, at least a bit deeper than the roots of your plantings, and sometimes a lot deeper! So the question of how deep will, as Nicole explained, be tricky to answer. The best thing to do, is have more than enough, but that isn't so helpful for your circumstance, so I would think that to be helpful I should say something like a foot of soil over your wood would be very adequate, but six inches might be enough if you were using shallow rooted plants with the addition of a lot of nitrogen against your wood and
compost in your topsoil/mulch layer, and two feet or more would be exceedingly beneficial. The way I understand it, the more Earth/Soil on the wood, the more the wood is kept damp, and thus the better it gets fungi, and the faster it turns to soils/or integrates fungi and soil as a single matrix.
Question 2.) I hauled in soil. I was digging fruit tree holes, so some of that material ended up on the hugul, and I was bringing in a few truckloads of composted manure. I only dug down two feet below the mound. As Nicole explained, if you dig down, you will have the soil you need, but it should be noted that some of this is aggregate and much of it is not fertile/living material, and in my mind this would be inferior, at least in the first few years. My wood was covered with about 1.5 feet of material.
Question 3.) I used all the soil I could get without discriminating, but I tried to be methodical about how it was layered into the mound. I had a lot of quackgrass in the hugul area, and this has become a problem with invasions onto the mound, but I also took the quack sod and jammed it into the matrix/holes of the wood so that it was utilized. This might have contributed to the quackgrass problem, but the problem might have been inevitable considering that I did not deal effectively with the quack surrounding the mound. At any rate, I wanted the sod to help keep the wood wet and to give lots of bacteria and other soil life right by the wood. Next went the subsoils and aggregate, and then the topsoil, and manures (sheep and horse). Now I think that if you were to pile any old subsoil on the wood and packed into the wood matrix cracks, then you would still get the same effect over time, but it would not be as productive, until microbiological fertility (living soil) is built in your surface soil. I planted a dense crop of field peas on my mound for the first year in order to help develop a living fertility. Of course some of the great benefit of building hugulkultur is that the wood/fungi matrix provides a deep fertility and nutrient bank, which will provide for years into the future, but you can not really count on this as a nutrient source in the beginning.