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CMP gather Q scanning based on relative entropy criterion |
LI Penghui, WANG Huazhong |
Wave Phenomena and Intelligent Inversion Imaging Research Group, School of Ocean and Earth Science, Tongji University, Shanghai 200092, China |
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Abstract The geodetic filtering effects(mainly thin layer overlapping effect, scattering effect, and inelastic effect) of underground media will attenuate seismic signal amplitudes, narrow frequency bands, reduce the main frequency, and distort phases, and they can be represented by the effect caused by equivalent Q value. It is very important to estimate the equivalent Q value reasonably and make the corresponding Q compensation to improve the seismic data resolution. The absorption attenuation is a cumulative effect. When the Q value of the stratum is constant, the attenuation of seismic wavelet becomes more and more obvious with the increase in the propagation distance/time and frequency. In other words, the amplitude and high-frequency components of deep and far offset reflection wavelets are attenuated more seriously. In this paper, it is assumed that the stratum is horizontally layered, and the reflection events conform to the hyperbolic law;the underground root mean square velocity model is known, and a single attenuation wavelet can be extracted along the time window of the hyperbolic trajectory by using the CMP gather. Then a set of Q values is selected to compensate for the amplitude spectrum of the attenuation wavelet in the frequency domain by Q values. According to the principle of optimum consistency of amplitude spectrum of compensated seismic wavelet at different offsets, the equivalent Q value of horizontal strata is estimated. This method needs an excellent measurement criterion. Therefore, the measurement criteria, such as similarity coefficient, centroid frequency, KL divergence, and JS divergence are compared. Experimental results show that the JS divergence criterion is more sensitive to the normalized amplitude spectrum consistency measurement and has a stronger anti-noise ability when the appropriate frequency band range(e. g., 0~60 Hz) is selected. The quality factor estimation method by CMP gather scanning based on relative entropy criterion can obtain relatively stable equivalent Q value estimation results when the signal-to-noise ratio is suitable.
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Received: 15 November 2022
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