【摘要】 本文基于地震尖脉冲的小波分解及其重构原理,提出一种基于部分尺度下信号重构理论的宽带子波构成方法,利用此方法可以形成一系列各具特色的地震子波。基于复B样条小波,具体讨论四参数宽带B样条地震子波的构成,推导出四参数宽带B样条子波的时间域和频率域的解析表达式。四参数宽带B样条地震子波不仅具有可直接调节旁瓣衰减的参数,而且还可以直接调节相位的个数,与相同主瓣等效频率的雷克子波和俞氏子波相比,四参数宽带B样条子波旁瓣小,非零时间点的延续时间短。楔形模型制作的合成地震记录表明,四参数宽带B样条子波的分辨率更高且参数选择更为灵活,可为地震资料处理提供一个更方便、更灵活的地震理论子波。更多还原

【Abstract】 Based on the wavelet decomposition and its reconstruction theory,we propose here a method to reconstruct wide-band wavelets.Different seismic wavelets can be reconstructed in this way.In virtue of complex frequency B-spline wavelet,we form a wide-band B-spline wavelet with four parameters and deduce its analytic expressions both in the time domain and in the frequency domain.The side lobes and phase numbers of the wide-band B-spline wavelet with four parameters can be easily adjusted through its parameter.In comparison with the Ricker wavelet and wide-band Ricker wavelet in the condition of the same main lobe equivalent frequency,the wide-band B-spline wavelet with four parameters not only has smaller side lobe but also has shorter non-zero time length.The synthetic result of wedge model indicates that the wide-band B-spline wavelet with four parameters has higher resolution and its parameters are easily adjusted.Therefore,it is a seismic theory wavelet more conveniently to be used in seismic data processing.更多还原