Concrete slab cracked all over - water coming in

Hate to say it, but sounds like you are between a rock and a hard place big time. I am assuming you have ruled out surface water coming down outside of basement wall from ponding? If water is coming up from below hard enough to float the slab and crack it, that lot should never have had a basement in the first place. French drains may help. but it sounds like you may need existing slab removed (not topped over) ,and substrate dug out and done over, with some heavy-duty drainage/sump pits, and a new slab poured.

I can't remember the proper name for the specialty, but their are engineers who specialize in stuff like this- bore some holes around the house and in basement floor, look at the topo and water table maps, and in general figure out where the water is coming from. You probably need to find one of them. An independent one, of course, not one that gets a kickback from contractor that does the work.

Unless you can dig a large trench all around the outside of your house, a french drain is part of the right solution.

You obviously have a water table that comes right up above the floor of your basement. Therefore you have water pressure against the lower part of your walls and the floor. The water will come right through cement you don't even need cracks. There are water sealer paints (drylock), but long term they won't solve the problem.

When they put in the french drain, that will lower the water table all around your houses perimeter. That may be enough so you won't have to worry about the cracks in the floor.

The process involves using jack hammers all around the perimeter of your basement. That might be a good time to consider replacing the slab too.

having been thru all this first check for downspout drains too near home, underground lines leaking, sewer lines backing up, water line leaking, grade around home must be away from it.

go wth the interior french drain, many companies offer a lifetime dry basement warranty..

if the slab is that bad its a good time to replace the basement floor.

its impossible to seal water out, your homes basement is not a bathtub

Do you have neighbors close by?

With basements as deep (or deeper) than yours?

Do they have similar water problems?

Hi, Are you on a city residential lot or an acreage? How old is the house? Sounds like water table is high or very poor drainage problem. Probably they did not do a proper job of preparing the site when house was built. To fix the problem is a major work starting with a soil/water engineer's survey. My son is a civil engineer with soil/hydrology background. Very often called out to deal with a problem like this.