Bricks, Masonry, Asphalt and Concrete - Lifting a concrete slab

I have a 5x14 by 4in thick front porch slab that's been poured on top of a 2ft tall brick wall and butts up against the house on one of the long sides. The porch slab is even with, but clearly not a part of, the house slab. The porch slab is canted slightly toward the house so that in heavy storms water runs across it and some comes under the front door sill. I've caulked it but would like to do a better fix. I'm thinking rather than busting out the slab and having a new one poured I could jack the slab an inch or so, remove a row or two or bricks and set the slab back down. Lowering the slab a few inches would solve the water problem.
Do you think the slab is strong enough to be jacked up without breaking apart? Can I jack it up being able to place jacks only under three sides or should I jack up the front, tilting it enough to be able to get the bricks out?
Thanks for such a great forum!

I don't think you're going to be able to jack up a concrete slab with jacks, at least without cracking it all to pieces. The much better solution would be to hire a slabjacking company to raise the slab on the house side, tilting it away from the house. That is what these guys do day in and day out. I assume that the problem started when the slab settled against the house anyway, probably due to poor backfilling and ground settling. The slabjacking company pumps a lime slurry under the slab, floating it back up to the proper level. You can find one in the local yellow pages, usually under concrete contractors. They also go by the term mudjackers. It is very quick, reliable, and you won't have all the headaches associated with trying something, failing, and having to pay more to have it fixed anyway.

Pecos

I just re-read your post. Are you saying that the porch slab is level with your house slab at the threshold? If so, then slabjacking would obviously not be an answer. However, I do think that jacking the slab up to remove some bricks would cause more problems and be a lot more headache than simply breaking out the concrete and re-pouring with the correct slope. Good luck.

Pecos

The porch slab is level with the house slab, so slabjacking doesn't sound like it would work. I thought re pouring the slab would be the best way to do it. I was just trying to come up with a way to do it myself. I have also considered breaking out the porch slab and replacing it with a wooden porch floor, built on the exisiting brick foundation. Although concrete lasts longer and is less maintence I prefer the look and feel of a wooden porch.
Thanks for the replies Pecos!