子波替换技术及应用效果分析

Wavelet replacement technology and analysis on its application effect

(1.川庆钻探工程公司地球物理勘探公司，四川成都610213；2.成都理工大学，四川成都610059；3.西华师范大学数学与信息学院，四川南充637002)

Geophysical Prospecting Company, Chuan-Qing Drill Engineering Company, Chengdu 610213, China

理想的反褶积处理是对地震信号进行谱白化，使其回归理论脉冲状态。实际处理中，由于受到客观条件的限制，反褶积过程变成了压缩地震子波的过程，以此来提高纵向分辨率，但并没有改变子波的相位特性。以常规褶积算法为基础，在借助信号自相关Toeplitz矩阵求得反褶积因子前提下，提出了子波替换反褶积算法。该算法由给定的理想子波构造替换矩阵，在进行信号反褶积过程中进行子波替换，达到改变子波频率及相位特征的目的，在不增加额外噪声的情况下使信号的纵向分辨率达到最理想的状态。此外，在求取反褶积因子过程中结合了相位处理技术，从而打破了常规反褶积中最小相位假设的限制，真正意义上实现了任意信号的盲反褶积处理。

For ideal deconvolution, spectrum whitening should be carried out on seismic signal to make it returning theoretical impulse condition. In actual processing, due to the restraints of objective conditions, deconvolution changes into the compression of seismic wavelet to improve the vertical resolution, but does not change the phase properties of wavelet. Based on the conventional algorithm, after obtaining deconvolution factor by signal self-relevant Zoeplitz matrix, the wavelet replacement deconvolution algorithm was proposed. Through establishing replacement matrix with the given ideal wavelet, we perform this algorithm for wave replacement during signal deconvolution to change the frequency and phase characteristics of wavelet and to make the vertical resolution reach optimal situation without increasing extra noise. Moreover, the phase processing technology was applied during computing deconvolution factor, which is no longer necessary to assume minimum phase in conventional deconvolution, without the restraint of phase during computing deconvolution factor, the blind deconvolution for any signal can be genuinely realized.