Had that done at work to lift the corner of a steel framed building. Our site is built on gravelly soil and there are some silver sand seams too. It had dropped about 6" because of a drain problem. They surveyed, digging boreholes, then drilled 20mm holes in the concrete slab and around the dropped pillar. They then pumped their stuff in. Seeing it raise up about 3" was amazing.
They said its used on things like motorways where a concrete slab has dropped. Instead of shutting the motorway, dogging it out and relaying, they can raise it within a few hours!
They don't use foam usually it's done by pumping in cement grout. I had to do it once to fill a small void under a slab on tin decking. Not having a clue what we were doing we mixed up the grout and pumped it in with a hand operated grout pump. We were merrily pumping away when we noticed a huge belly had developed in the tin deck. Didn't even notice it on the pump handle it jacked it out effortlessly. They never did fix it AFAIK.