The stacking of stones is a recent practice, and is probably due to buddhist monks stacking stones, as well, in the past. This practice is probably a form of worshipping, but it’s mainly a gesture of asking or wishing for good fortune to be bestowed on the stacker and his/her family. Each stone within the stack represents a particular wish and possibly, family member.
“Water does not resist. Water flows. When you plunge your hand into it, all you feel is a caress. Water is not a solid wall, it will not stop you. But water always goes where it wants to go, and nothing in the end can stand against it. Water is patient. Dripping water wears away a stone. Remember that, my child. Remember you are half water. If you can’t go through an obstacle, go around it. Water does.” ― Margaret Atwood
“Nothing in the world is more flexible and yielding than water. Yet when it attacks the firm and the strong, none can withstand it, because they have no way to change it. So the flexible overcome the adamant, the yielding overcome the forceful. Everyone knows this, but no one can do it.”