基于随机共振的震电测井信号检测方法

A Signal Detection Method for Seismoelectric Logging Based on Stochastic Resonance

  • 摘要: 为了克服传统随机共振方法在高频信号处理中的局限性,引入相位轨迹时间尺度变换改进非线性双稳态随机共振系统动态方程,通过数值仿真和电路设计提升系统的实用性,开展了数值仿真模型和电路输出信号的时域和频域波形分析。以输出信噪比为评价函数,采用遗传算法对系统参数寻优,以获得最优输出,构造基于相位轨迹时间尺度变换的双稳态随机共振系统,并将该系统应用于震电测井信号中。研究结果表明,随机共振系统输出信号的信噪比提升了23.5642 dB,输出信号特征频率处的幅值是传统线性滤波的44倍。基于相位轨迹时间尺度变换的双稳态随机共振系统能够直接处理高频震电测井信号,削弱信号中的噪声,显著提升信号的清晰度和质量。该系统可突破小参数局限性,实现对震电测井的成功检测,为复杂环境下油井特征微弱信号的提取提供了新的方法。

     

    Abstract: To overcome the limitations of traditional stochastic resonance methods in high-frequency signal processing, the scale transformation of phase trajectory time was introduced to improve the dynamic equations of the nonlinear bistable stochastic resonance system. Through numerical simulation and circuit design, the practicality of the system was enhanced, and time-domain and frequency-domain waveform analysis of the numerical simulation model and circuit output signals was conducted. With the output signal-to-noise ratio as the evaluation function, a genetic algorithm was employed to optimize system parameters and obtain the optimal output. A bistable stochastic resonance system based on the scale transformation of phase trajectory time was constructed and applied to seismoelectric logging signals. The results show that the signal-to-noise ratio of the stochastic resonance system’s output signal has improved by 23.5642 dB, and the amplitude at the output signal’s characteristic frequency is 44 times that of traditional linear filtering techniques. The bistable stochastic resonance system based on scale transformation of phase trajectory time can directly process high-frequency seismoelectric logging signals, reduce noise in the signals, and significantly improve signal clarity and quality. This system can overcome the limitations of small parameters and achieve successful detection of seismoelectric logging, providing a new solution for extracting weak signals from oil wells in complex environments.

     

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