地球科学进展

地球科学进展 ›› 2019, Vol. 34 ›› Issue (2): 148 -155. doi: 10.11867/j.issn.1001-8166.2019.02.0148

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基于单形进化优化算法的重力固体潮信号解混及谱相关分析
矣昕宝 1,魏巍 2,全海燕 2, *( )   
  1. 1. 西双版纳职业技术学院师范学院（公课部），云南 西双版纳 666100
    2. 昆明理工大学信息工程与自动化学院，云南 昆明 650500
  • 收稿日期:2018-06-28 修回日期:2018-12-02 出版日期:2019-02-10
  • 通讯作者: 全海燕 E-mail:quanhaiyan@163.com
  • 基金资助:
    国家自然科学基金项目“提取重力固体潮信号中地球物理信息和地震前兆信息的关键信号处理算法研究”(编号:41364002)资助.

Decimation and Spectrum Correlation Analysis of Gravity Solid Tide Signal Based on Surface-Simplex Swarm Evolution Optimization Algorithm

Xinbao Yi 1,Wei Wei 2,Haiyan Quan 2, *( )   

  1. 1. Xishuangbanna Vocational Technical College Teachers College Public Section, Yunnan Xishuangbanna 666100, China
    2. Faculty of Information and Automation, Kunming University of Science and Technology, Kunming 650500, China
  • Received:2018-06-28 Revised:2018-12-02 Online:2019-02-10 Published:2019-03-26
  • Contact: Haiyan Quan E-mail:quanhaiyan@163.com
  • About author:Yi Xinbao1970-）， male， Yuxi City， Yunnan Province， Associate professor. Research areas include physics, computer, office automation and other course teaching and teaching research. E-mail：yxb10182609@126.com|Quan Haiyan（1970-）， male， Shiping City， Yunnan Province， Associate professor. Research areas include optimization algorithm, signal processing. E-mail： quanhaiyan@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China "Research on key signal processing algorithms for extracting geophysical and seismic precursor information from gravitational solid tidal signals"(No. 41364002);Project supported by the National Natural Science Foundation of China "Research on key signal processing algorithms for extracting geophysical and seismic precursor information from gravitational solid tidal signals" (No. 41364002).
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为了揭示地球固体潮中谐波成分间的相关乘性调制关系与非相关叠加关系，并根据这些关系来分析重力固体潮信号中隐含的潮汐谐波。根据地球、月球与太阳旋转轨道的位置关系，建立了一个引潮力的正交分解模型。进一步，基于改进单形进化智能优化算法的独立分量分析的重力固体潮正交分解模型上，利用谱相关方法，对重力固体潮的独立成分进行谱相关分析，从而完整实现了潮汐谐波加性正交分解之后的乘性解调。最后，结合实际观测数据，并引入理论信号作为参考背景，利用以上模型与算法进行对比处理和分析。研究表明，所提出的模型与方法可以有效地实现潮汐谐波的正交分解，凸显能量较弱的长周期谐波分量，并从谱相关图谱中反映潮汐谐波调制关系的变化。

关键词: 重力固体潮, 分解模型, 独立成分分析, 谱相关, 潮汐谐波

In order to reveal the correlation between the harmonic components in the earth's solid tidal wave and the non-correlation superposition relationship, and based on these relations, the tidal harmonic implicit in the gravitational solid tidal signal was analyzed. According to the position relationship among the Earth, the moon and the sun's rotating orbit, an orthogonal decomposition model of tidal force was established. Furthermore, on the orthogonal decomposition model of gravity solid tidal wave based on the independent component analysis of the improved SSSE intelligent optimization algorithm, the spectral correlation method was used to analyze the independent components of gravity solid tidal wave. Thus, the multiplicative demodulation after the orthogonal decomposition of the conformal wave was completely realized. Finally, the above model and algorithm were used to compare and analyze the actual observation data and the theoretical signal as reference background. The results show that the proposed model and method can effectively achieve the orthogonal decomposition of tidal harmonics, highlight the weak energy of the long period harmonics component, and reflect the change of tidal harmonic modulation relationship from the spectral correlation map.

Key words: Gravity solid tides, Decomposition model, Independent component analysis, Spectral correlation, Tidal harmonics.

中图分类号: 

图1 引潮力的正交分解模型
Fig.1 The orthogonal decomposition model of tide force
图2 重力固体潮信号
Fig.2 Gravity tide signals
图3 独立分量
Fig.3 Independent components
图4 地震时长周期波的循环相关谱
Fig.4 Cyclic correlation spectrum of long period harmonics in earthquake
图5 未发生地震时的长周期循环相关谱
Fig.5 Cyclic correlation spectrum of long period harmonics in non earthquake
表1 理论谱相关频率
Table 1 Theory spectrum related frequency
时间 理论信号谱相关频率/Hz 理论信号解调出的频率成分/Hz 理论计算频率/Hz
1995年2月1日至1996年3月1日 f 11 =2.350×10-7 5.880×10-8 6.3377×10-8
α 11 =1.762×10-7 4.112×10-7 4.2004×10-7
f 12 =4.406×10-7 5.880×10-8 6.3377×10-8
α 12 =3.818×10-7 8.224×10-7 8.4725×10-7
2000年1月1日至8月25日 f 21 =2.441×10-7 4.880×10-8 6.3377×10-8
α 21 =1.953×10-7 4.394×10-7 4.2004×10-7
f 22 =4.394×10-7 4.880×10-8 6.3377×10-8
α 22 =3.906×10-7 8.300×10-7 8.4725×10-7
f 23 =6.348×10-7 4.395×10-7 4.2004×10-7
α 23 =1.953×10-7 8.301×10-7 8.4725×10-7
2003年4月1日至11月1日 f 31 =4.326×10-7 5.410×10-8 6.3377×10-8
α 31 =3.785×10-7 8.111×10-7 8.4725×10-7
f 32 =6.489×10-7 4.326×10-7 4.2004×10-7
α 32 =2.163×10-7 8.652×10-7 8.4725×10-7
表2 长周期波的谱相关分析
时间 实测信号的谱相关频率/Hz 实测信号解调出的频率成分/Hz 实测解调频率与理论信解调频率的误差率/ %
1995年2月1日至1996年3月1日 f 11 ' =1.762×10-7 8.8080×10-8 49.80
α 11 ' =8.812×10-8 2.6432×10-7 35.70
f 12 ' =4.406×10-7 8.8100×10-8 49.80
α 12 ' =3.525×10-7 7.9310×10-7 3.60
2000年1月1日至8月25日 f 21 ' =2.441×10-7 9.7600×10-8 100.00
α 21 ' =1.465×10-7 3.9060×10-7 11.10
f 22 ' =4.883×10-7 1.4650×10-7 200.20
α 22 ' =3.418×10-7 8.3010×10-7 0.01
f 23 ' =6.836×10-7 5.3710×10-7 22.20
α 23 ' =1.465×10-7 8.3010×10-7 0
2003年4月1日至211月1日 f 31 ' =4.326×10-7 1.0820×10-7 100.00
α 31 ' =3.244×10-7 7.5700×10-7 6.70
f 32 ' =5.948×10-7 3.2440×10-7 25.00
α 32 ' =2.704×10-7 8.6520×10-7 0
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