This is almost exactly the opposite of what you think it is - it is actually from a burrowing animal, so instead of flying, it is actually burrowing into the sub-surface liquifaction layer of the sand and leaving behind this imprint.
I think (correct me if I am wrong), but it is likely that the start of the burrow is the depression above your toe and the ...
I too think it's from a burrowing animal. Instead of crab I would say it is some kind of lugworm/sandworm.
I found this similar image:
The keywords for this image contain "Wattwurm" = lugworm, though the image might be mislabeled.