Ricker类地震子波

Ricker-like seismic wavelets

本文构造了一类地震子波,数值计算结果表明:该类子波中的一些频谱的无限连续积分组合逼近于单位脉冲函数的频谱,具有理论上的最高分辨率;在有限频带范围内,结合适当的分布函数,可以利用这些子波得到一种组合型地震子波。本文还剖析了带通子波、普通Ricker子波、单位脉冲函数等常见子波之间的内在联系。因此可以利用本文方法选择合适的地震子波进行理论分析、资料处理等。数值计算验证了本文方法的正确性及有效性。

This paper presents a class of seismic wavelets,and proves that the continuous integral combinations of spectra for some of them approach to the spectrum of unit impulse function,which represents the maximum resolution.A new kind of combination wavelet can be obtained within the limited frequency bands using some suitable distribution functions.The paper establishes the relationship among band-pass wavelet,Ricker wavelet and unit impulse function.Suitable wavelets chosen by this approach can be used for both theoretical analysis and seismic data processing.Mathematical computations prove its correctness and effectivity.