the procedure in my region is: most homes are single story homes with cement slab foundations. They dig a hole every 8 feet all around the home and the hole is usually to bedrock which is about 10 feet. Then concrete is poured into the hole for a good solid base. Usually about four feet. Then jacks are installed in each hole and jacked up to the foundation slab. Then a series of water levels are installed all through the home to get all areas back to level. The jacks are individually jacked until that area is true then move on to another jack. Some jacks are up more than others. When all are true things are checked once again. Then if good, the soil is back packed back into the hole with mostly sand for proper settlement.
You will get some new cracks through out the home, but they should not get any worse than they are then.
This procedure is for the life of the house and IS transferrable.