I had the "opportunity" to do a fair amount of base repair last season. So far, they've all held. My first step is to remove any rocks, grit, etc. from the gouge. The next step I do is to slightly enlarge the gouge with a slow Dremel. I aim for straight or slightly under-cut sides, using a Dremel bit like the 115, 116, 194 or 196. If the gouge is shallow, I may make it a bit deeper, maybe 2mm. If there's exposed core or edge, I'll try to rough it up a bit. Then, of course, I'll vacuum or blow out all loose debris.
I use a base repair iron to fill the gouge in layers. If there's any exposed metal or core, I start with Wintersteiger Metalgrip. Subsequent layers are Ski Visions base repair ribbon. It takes practice to melt it all in without voids, using enough heat to melt adjoining materials together.
Once cool, I go after it with a metal scraper, Surform, and Ski Visions base flattener. I stroke from tip to tail, but I begin with the rear part of the repair and work forward, to avoid peeling it out. In my experience, the repair will always have a different texture and won't take wax well. So, I don't make repairs for simply cosmetic reasons.