小波域尺度积在裂缝检测中的应用

常规的裂缝检测方法实际是基于道间奇异性的检测,在检测出裂缝发育带的同时也会检测出噪声.若利用大尺度的裂缝检测方法或将一些噪声压制方法与裂缝检测方法配套使用,虽可提高信噪比,但却对裂缝定位不准确.针对这种矛盾,引入小波域尺度积的裂缝检测方法,该方法将相邻尺度上的小波系数相乘,将裂缝在不同尺度间的因果关系隐含在内,在抑制噪音的同时,可有效地提高裂缝检测的精度.通过理论试算和实例应用,证明了该方法的有效性.

Application of Wavelet Multi-Scale Product in Fracture Detection

Traditional fracture detection methods are based on difference detection among traces,so the noise will be detected when the fracture was detected.If large-scale fracture detecting methods were adopted or noise suppression methods were used together with fracture detection methods,fracture edges would be dim though signal-to-noise ratio will be raised.In order to solve these problems,the method based on wavelet multi-scale product was introduced for fracture detection.This method made use of the product of adjacent wavelet coefficients,and concealed the causal relationship of fracture in the different scale wavelet coefficients,at the same time of noise was suppressed,this method can enhance the precision of fracture detection.Application in theoretic model and real data had proved the effect of this method.