Sub Several Problems In The Shape Seepage

Fractal percolation was introduced by B.B.Mandelbrot,and subsequently studied by J.T.Chayes,K.,J.Falconer,F.M.Dekking and G.R.Grimmett etc.They called this process "Mandelbrot's percolation process".Besides this model,we also have Random Sierpinski Carpet model.They are the two more important models in fractal percolation.One hand,the construction of these two models extends the research fields of probability;on the other hand,it provides mathematical basis for Statistical Physics.By the effort of B.B.Mandelbrot and other scientists,they made great achievements on the study of fractal percolation.In this article,we construct a new percolation model which is similar to Random Sierpinski Carpet model,with Mandelbrot's percolation model we consider the percolation problems on these two models,and find the strict inequality relation of the percolation critical value.In this article,we improve:when Nâ†'∞,we have(?)_c(N)â†'1.Then we conclude:when N is large enough,P_c(N)＜(?)_c(N).we use P_c(N) to denote the critical value of Mandelbrot's percolation model.