Small geyser coming out of the basement floor
I know that my answer will not be a proper one (ok, you may downvote if you wish...), but my experience tells me that it's a serious problem.
Cracks on walls always tell that something serious is around. My advice is to find a civil engineer/specialist to make a proper judgement of this matter. I strongly reccomend that, and I guess that this question will not be easily resolved here, on DIY SE.