Zoeppritz equations are the basis for traditional AVO analysis, which plays a significant role in oil and gas exploration. While they are not suitable for quantitative analysis of the amplitude response of thin-bed. In this paper, we continued our research on thin-bed AVO analysis. Firstly, we review our method for thin-bed AVO analysis. And then we extend our analysis of thin-bed AVO with attenuation from a dispersion-free system to the dispersion system, which means that the amplitude response is frequency dependent. And we found that if the thin-bed thickness and Q are both fixed, with increasing frequency, the Real part of RP P AVO curve departs that with no attenuation, while the Real part of RP S AVO curve approaches that without attenuation. What's more, the influence of Q on Real parts of the reflections increases with thin-bed thinning. Then we tested a linear approximation analysis following Liu and Schmitt (2003)'s method. We concluded that with thin-bed thinning, the approximations approach the exact values better. Finally, we compared our method for thin-bed AVO analysis with the numerical modeling results. And the amplitudes calculated by our method match the numerical results very well, which also prove the correctness of our method.
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