I was unable to get a response to this on another thread so i thought i might post it again
volume of earth is 10^21, volume of water is 10^18
http://en.wikipedia.org/wiki/Orders_of_magnitude_%28volume%29that is in meters, so in km it becomes Earth 10^12 water 10^9
one cc of water is 1 gram, so 1 cubic meter becomes 1000000 grams, 1000 kg, or a metric tonne
therefore there are 10^18 metric tonnes of water in the world.
now. lets consider the tensile strength of carbon nanotubes (the strongest material we have) which can theoretically go up to 300 GPa or 3x10^11 Pa, 63x10^9 Newtons per square meter. now the ice wall has circumference of 78225 miles, that is about 125000 km (using 1.6 km to the mile), lets assume that the water goes to the top of the wall, all 150 feet of it, 50 meters give or take (taking 3 feet per meter) so we have a surface area of 6.25 million meters squared, 6.25x10^6 meters squared. so lets divide the volume of the water by the surface area, rounding the SA up to 10^7 that gives us 10^11 meters of water affecting every unit area of the icewall. so using that F=ma, that water is going to give 10^12 Newtons per unit area (in otherwords 10^12 Pa. Therefore even a carbon nano tube ice wall would fail.
of course i have made certain assumptions, such that all of the gravitational force of the wate is being pushed towards the ice wall (and i'm meaning Gravitational force in the FE model too, water will be force outwards by the upthrust of the earth, and that tensile strength should be used for the icewall breaking apart (it should be compressive strength, however i have found not numbers for that - although compressive strength only affects when the crack forms, once the crack forms it is tensile strength that causes the crack to expand) however i also used a carbon nanotube, the strength of ice is mcuh less - steel is 4x10^8 Pa, water is 1.7x10^7 Pa
I have since found that the compressive strength for ice is around 10^8 Pa, so it turns out that tensile strength is a pretty good approximation.
It is important to not that the thickness which is important in these matters is the cross section, so for the icewall the thickness would be the surface area that it exposed to the water (so the depth of the water times the circumference) NOT the thickness of the ice sheet - the thicker it is the longer it would hold, but it would eventually crack and break down.