I dont know if any of you can use some metric caluclation examples, but here it goes:
1 bar is 1 kg per square centimeter.
1 bar is 10 meters of water column. (which means that the force applied to 1 square centimeter of lake bottom with a water weight of 10 meter, is 1 kg.)
This is logical because 1 liter of water weighs a kilo. To place a liter of water (is 10x10x10 cm) on a footage of 1 square cm, means that you have to put it into a column of 10x10x10 cm is 1000 cm or 10 meters.
The water pressure at a certain depth:
Exactly at the water level, the sideway force of the water against the dam is zero. At 10 meters depth it is 1 bar, (which is 1kg/cm2) so over the total 10 meters of dam height, the pressure is 0,5 kg/cm so with 10 meters of height this is 500 kg per centimeter of dam length, or 5 ton per meter of dam length. the weight of the dam has to be so high, that it generates enough friction with the undersoil to keep the dirt mass from sliding off.
With very high water levels, as we had in 1953 with the big disaster in holland, the water level was so high that the dikes saturated. the moisture saturation lowered the friction of the dirt, which caused dikes to be slid off and break.
I cant help you with the friction factors for dirt so it wont be of much help anyways. But at least, you can sleep well by the thought that if a dam held the first year, the next years will be no problem because the dirt is settled by natural ways and natural processes aid the cohesion of the dirt.
Hope this helps.
Renze