Abstract: Both fault and fracture are the cracks with different relative displacements and broken extents, and are formed in the same stress field. They are complex anomalistic object of selfconformability, so it is possible to study them by the fractal theory. Based on the studies on the planar fractal distribution of the faults on top of the buried hill of the Budate Group in the Beier depression and the vertical fractal character of the fractures in the cores of the Budate Group from the buried hill, an quantificational relation between them has been established and applied in forecasting favorable fracturedeveloped area to offer an new method to predict fracture. The forecast results show that the higher the information dimension of faults is, the higher that of fractures is, where the information dimension of fracture is more than 1.4 is the favorable fracturedeveloped area.

Key words: Beier depression, buried hill, fractal, information dimension, fracture forecast