Modern remedial s are a wee bit different
Check out Shire Piling, they have several videos selling their "systems" it is a system based around bored "piles" which are mechanically fixed to the foundations, but will only work effectively in some types of soil. This system "locks" to building in its "deformed" state and stops any further movement
or
Look at Uretek this system, can [it is claimed] actually lift a building, its systems can certainly "lift" slabs, there are several promo videos by this company.
The above pair are [probably] the most long standing exponents in their different way of attacking Subsidence.
Over the past 5/7 /10 years many, many more "systems" have jumped on this band wagon, which is fueled by the Insurance Companies repair methodology in Subsidence repairs
Simple form a hole, undermine a small area of the underside of the foundations, insert a jack has to a greater extent run out of "fashion" yes if hit / miss mass underpinning [which has also run out of "fashion" ] did have a jack involved, but that was a "Sacrificial" prop used as a completely temporary measure to stabilise the building until the concrete mass fill had taken a set.
Ken