Before I would add nitrogen, I would fill in some of the space between the
wood with leaves, grass clippings and other compostable materials including meat scraps. The logs can be left as in your photo or better yet, stacked somewhat so they don't use so much ground space and will also give more areas for compostable material addition prior to covering with any soil. The purpose of the wood is to retain water for future release to
root systems, so the fewer large air pockets you have at the start, the better it will perform.
I like to lay the logs in layers, so I can make compostable additions as layers between the wood. I also like to water each layer as I build, this gets a growing mound started off faster. Additionally, if you have some partially rotted wood, especially any that has fungi growing on it, those are wonderful additions to a mound, since they will spread inside the mound and help rot the wood as well as attach to the new
roots growing down and so help the crops grow.
For nitrogen additions, you can use
coffee grounds, manures, green cuttings. I would not use commercial products myself since this is all about helping nature do what nature does and those products are not "natural". If you can estimate the weight of the wood, then divide by 1000, you would have a fair idea of how much N to add to the mound. Normal builds tend to take a year or two to mature and this is normal, if you make additions of manures, green clippings and coffee grounds as you lay up the mound, you most likely will not need to worry about the nitrogen, it will be there in enough quantity naturally.
The mound will settle as it matures so you will keep adding compostable material and manures to fill in the holes and raise the level of the mound back to what size you want it to be, if you want to try and keep it a certain height.
I have a few mounds that are getting leaves this winter as well as some additional wood since they have settled and are showing large holes where the soils have sunk around the logs in them. I consider this normal maintenance.
The second photo, of a brush pile, shows some filling in of spaces by leaves and soil, just as I have described above, all that is needed is to continue till you are ready to lay on the blanket of soil as a finish.