In the paper, we consider a new method of pulse-echo image analysis and its application for seismic prospecting of oil reservoir. The method has a high sensitivity in comparison with other well known techniques of seismic data analysis and consists of the following seven steps: 1) A moving window (3x3) slides on a seismic image and compares each pixel of analyzed image to unwrapped in a spiral order window. 2) Brightness of pixels into the window are considered as information features and ones is presented in a form of a same vector a of size (1x9). 3) Its complex analog b, obtained using a gradient transformation, which is compared to this vector. This step is needed for increasing a sensitivity of future segmentation procedure. 4) Coefficients of the vector b are considered as complex coefficients of some characteristic polynomial H(z). 5) Complex zeroes calculation of the polynomial H(z). This step gives a possibility for forming a new 3-D complex space of information features. 6) A new information basis is formed on the base of independent components, obtained after applying independent component analysis (ICA) to a magnitude of complex space-zero array. 7) The information fusion is used by means of Kohonen’s self-organizing map (SOM) algorithm. This step gives possibility to obtain one new resulting image. Experiments were made on the real-world pulse-echo image with known position of oil reservoir. The new method permitted to detect oil reservoir, while the known methods did not give any positive results.