Revisions of Convolution Model of Reflected Seismic Wave

The convolution model of reflected wave used in exploration physics has no serious physical concept and mathematical proof. Wave phenomena should be characterized by instantaneous spectrum in physics and a complex function of three real variables (time. Place frequency) in mathematics. Reflection coefficient is also a complex function of place and frequency. Several new formulas instead of convolution model are given. Based on wavelet transform and a method of “3 basis colors”, new color sectional image is obtained from practical data.