Confirmed for 1.8.1
Confirmed for 14w27b, on Windows 7 64-bit with latest Java 1.8 and Nvidia GTX 670.
The graphical bug seems to occur largely independent of video settings. I have toggled all video settings and the only setting where I was unable to reproduce the bug was with a Render Distance of 2 chunks. With any Render Distance higher than 2 chunks and any other (combination of) video settings I was able to reproduce the graphical glitch.
The only way the glitch disappears is when the rendering resets (for instance when changing certain video settings) or when the player gets closer to the ice.
Was able to reproduce this in 15w46a, so this is not fixed.