Paddy,
As I understand modern building techniques, a slab foundation is still supported by piers of concrete which should extend below the local frost line at least. Our house was built in the mid 50's, and has a full basement under the main house and a 25x50 foot slab under the garage and laundry room. The slab part has settled over the years and we are getting both cracks in the brick work and in the walls and ceilings, especially in the part of the main house directly connected to the part on the slab. I got three estimates from companies which drive steel supports into the ground to lift the slab, RamJack is one of the national franchises, and all three came in at about $11K. They all said it would take 11 piers to raise and support the slab, and one of the reps did a vary thourough measurement job. He came up with about a 3-4 inch settlement at the lowest point, which agreed with my own calculations. The cost is about $1K per pier around here.
There's no way you could do the pier-type correction on your slab yourself. The equipment is too specialized and expensive. If you are thinking of mud-jacking, or something similar, again that might not be a DYI project. I doubt you could get under enough of the slab to raise it with house jacks without doing more damage than good, even if there were a place to position the jacks for support. I'd look into the RamJack-type fixes. Some folks swear by them; some swear at them. I suspect it depends on the soil type in your area. It seems to be the only way to go for my problem, and I plan to get it done this year. I'm tired of adjusting doors only to have them stick again in a few weeks/months.
Chuck