If anybody can figure out how to get in touch with that Hungarian mathematician 
Gergely Ambus who took those pix in Krubera, you might suggest he look at 
article Hydroleveling of Very Deep Caves, with an Example from Voronja 
(Krubera) Cave.
Alexander Degtjarev, Eugene Snetkov, and Alexey Gurjanov
AMCS Activities Newsletter 29, 2006, which is pretty mathy in nature, I had to 
do an whole lot of work to put it in shape to be published, including fixing 
some errors. I still don't entirely vouch for its content.

It is at http://www.mexicancaves.org/nl/29.pdf, pp. 85-92. -- Mixon
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Nature is a hanging judge.
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