The broad band array sonic logging tool can record the Stoneley wavefield in a wellbore. The Stoneley wavefield can be separated effectively by using a lowpass filter and a multi - trace median filter. From the Stoneley waveforms, their reflectivities can be calculated. The points with the larger reflectivities are corresponding to the permeable fractures in depth. The ampltitudes of these reflectivities are proportional to the Stoneley energy. Finally, some practicable methods that estimate the effective a...