Where it is just "mist" lubed, an ISO 32 compressor oil is often used. When It gets to the other extreme such as jackhammers and other percusion tools, normally a tacky oil such for Rock Drills is called for such as Chevron's Rock Drill Oil Vistac. A low toxic or non-toxic no ash additive package and a tackiness additive are used to keep it in place. Available in ISO 32, 46, 150, 320 viscosities in Chevron and I have it in ISO 100 in another brand.
But you will be hard put to find these in less than 55 gal drums