When adebris flow joins a main river,it may block the river.The collapse of the block is often a sudden change that can be simplified into a phase transition.In this paper we study the problem on the model of percolation which is a second order phase transition.Rather than general random percolation model,we introduce a self-similar percolation model and develop it from two dimensions to three dimensions.Under this model,we conclude that a block made of grains(for example stone,sandy grains,clay grains,silt grains,etc.) with more different sized has a better stability.Moreover,with the help of efflux theory,we explain why the joint on the other side of the block with the main river is easier to break than other places of the block.
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