子波分析

1986年 25卷 第No. 1期
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WAVELET ANALYSIS
南海西部石油公司研究院
本文根据目前对子波的定义,分析了各种地震褶积模型及有关子波的数学表达式,并通过实际地震资料说明划分震源子波和基本子波的必要性和合理性。震源子波是地震脉冲的稳定形式,可以用一种明确的数学公式来表示;基本子波是震源子波与所通过介质的一系列滤波效应褶积的结果,携带着所通过介质的信息,用某一明确的数学公式来表示恐怕是困难的。有关子波的处理也应根据其不同的特点和目的,采取不同的处理方法,才能取得预期的效果。
Based on the wavelet definition currently accepted, all types of seismic convolutional model as well as the mathematic expressions related to wavelet are examined in this paper. And by real seismic data, the necessity and reasonableness of dividing up the seismic wavelet from basic one are illustrated.The seismic source wavelet reveals itself the stability of seismic impulse. Moreover, this can be indicated by a definite ma-themetic expression. Since the basic wavelet is an outcome of the convolution of a series of filter effect between the seismic source wavelet and medium taken so perhaps it is difficult to say that the basic wavelet along with the information from medium can be expressed explicitly by a mathematic expression.Supposedly, the way of treating wavelet should vary with its characteristics and objectives as well in order to achieve the heped-for results.