You need to play with some of the shader options, the hardware isn't able to render it all correctly. Gotta remember it's a 9 year old GPU so it isn't going to be able to handle newer stuff correctly.
Looks a lot like the problems older Intel GPUs get, which would mean disabling floor reflections to cure it. Though there's a good chance that you'd have to ditch fluid blood too.
Check the stderr file in your Toribash folder, it'll list it's support for various things in there. If Fluid Blood is at 2 or less then I'd just disable it to save the hassle. If not then you'll want to poke the other shader options starting with reflections.
Also don't bother with drivers, they wont have made one for a long time that supports it. ATI/AMD are rather quick at cutting support for integrated GPUs.