Two steady fluid flow in the porous media models are solved in this paper, one is a centric oil well model in the circle region, the othe r is a crack oil well mod el in the rectangle region. The perfect results are obtained by distributing nod es with the logarithmic division in the centric oil well model, and the results show that the me shless methods solution is more exact than FEM solution. In the crack oil well m odel, the dense nodes are distributed near the crack based on the initial nodes. The pressure contour is gotten and the results are satisfying.