Hilbert—Huang变换在提取声波测井信号储集特性中的应用

阵列声波信号属于典型的非线性和非平稳信号，传统的分析方法主要包括短时傅里叶变换、小波变换和Winger-Ville变换等。Hilbert—Huang变换是一种分析非平稳信号的新方法，该方法的关键是对信号进行经验模态分解．将复杂的信号分解为有限数量的几个固有模态函数，从而得到信号的Hilbert能量谱。将该方法应用于阵列声波测井信号处理上，对声波测井信号进行经验模态分解并得到Hilbert能量谱，分析能量谱与储层岩性参数的联系。结果表明，Hilbert能量谱与某些储层特性存在一定的联系。

Application of Hilbert-Huang transform in extracting reservoir properties of array acoustic signals

Array acoustic logging data is a non-linear and non-stationary signal. The traditional analysis methods include Fourier transform, wavelet analysis and Winger-Ville transform. Hilbert-Huang transform （HHT） is a new method developed for non-linear and non-stationary signal. The key step of this method is to apply the empirical mode decomposition （EMD） on signal, decomposing the signal into several intrinsic mode functions （IMF）, and then Hilbert energy spectrum of the signal can be obtained. The authors applied HHT to array acoustic logging signal processing, and used EMD to decompose the signal to get Hilbert energy spectrum. The relations between Hilbert energy spectrum and reservoir properties are analyzed. The result shows that there are some certain relations between Hilbert energy spectrum and reservoir properties.