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Pure Mathematics 2024
广义线性频域Chirplet变换及其应用
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Abstract:
时频分析可以获取地下储层的相关信息，在储层表征中发挥着重要作用。本文提出了广义线性频域Chirplet变换(General linear Frequency-domain chirplet transform, GLFCT)，首先旋转时频基来匹配实际群延迟(group delay, GD)曲线，然后根据每一个时频点的振幅，得到最佳chirp率，最终得到高分辨率的时频表征结果。合成信号的数值验证结果证明了GLFCT处理瞬态信号的有效性，模拟地震记录的测试很好地证实了在储层表征方面的可行性。
Time-frequency analysis can obtain the relevant information of underground reservoir, which plays an important role in reservoir characterization. In this paper, the General linear Frequency-domain chirplet transform (GLFCT) is proposed. Firstly, the time-frequency basis is rotated to match the actual group delay (GD) curve. Then, according to the amplitude of each time-frequency point, the optimal chirp rate is obtained, and finally the high-resolution time-frequency characterization results are obtained. The numerical verification results of the synthesized signal demonstrate the effectiveness of GLFCT in processing transient signals, and the test of simulated seismic records well proves the feasibility in reservoir characterization.
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