One inch of water on ten acres equals 100 TONS of water. 10 inches of Snow on ten acres of lake equals 100 TONS of snow/weight. When it lays on top of the frozen lake it pushes down equally all over.
When you have a thousand acre frozen lake with only ten inches of snow on its surface you have a MILLION TONS of added weight pressing down on the ice.
It's easy to see that you'd have to expect 'Geysers' of water when you punch a hole through what's making the snow stay up top, if you do the math.
Be carefull out there. Getting wet in sub-zero weather can be deadly.
