In the same way that other animals get fossilised. Your link mentions that 'The chalk is very thick and deposition spanned 35 million years.' - a lot can happen over 35 million years.
From the link - "Occasionally chalk sediment was transported downslope and buried the inhabitants of the sea floor alive. Rare but spectacular fossils of exceptionally preserved fish, starfish, echinoids, crinoids and crustaceans record these events. Other scarce fossils include pterosaurs, ichthyosaurs, plesiosaurs and turtles. Very, very rarely, the remains of dinosaurs were carried out to sea."
That these animals could be buried in the above way is a reasonable conclusion. But one might ask, would this method of burial really account for all the known fossilized large animals, or is there another possible mechanism?