Groundwater Radon Precursor Anomalies Identification by EMD-LSTM Model
Abstract
:1. Introduction
2. Geological Setting
3. Methods and Model
3.1. Data Processing and Seismic Setting
3.2. Empirical Mode Decomposition (EMD)
- (1)
- The maximum and minimum values of the data set are obtained, and the interpolation function is fitted to all extreme points to obtain the upper envelope Ut and the lower envelope Lt.
- (2)
- The average values between the upper and lower envelopes are calculated using the equation:
- (3)
- Let . If the is the IMF, then is equal to . Otherwise, as a new input, repeating the above steps until the IMF is obtained.
- (4)
- Let residual , then as a new input, repeating the steps (1) and (2). When the last residual satisfies monotonicity, the termination conditions are obtained. The original signal Xt can be reconstructed by a series of IMFs and Rt, that is, (Rt is the residual function).
3.3. Long Short-Term Memory (LSTM)
3.4. EMD-LSTM Model Development
- (1)
- Collated the data set. The data set (including groundwater radon, air pressure, temperature, and precipitation) during the non-seismic activities period was arranged chronologically. The collated data were then set as training set and validation sets. Next, the data set during the seismic activities period was set as the prediction set. The radon data set after collating is shown in Figure 4.
- (2)
- The EMD method was applied to the collated data set, then the IMFs functions and residual functions Rt were obtained.
- (3)
- The IMFs and Rt were predicted by the LSTM neural network. Eighty percent of the decomposed signal during the period without any earthquakes was set as the training set, and 20% of the decomposed signal during the period without earthquakes was set as the validation set. Then, the 7 seismic activity periods were set as the prediction set.
- (4)
- The EMD decomposition signal’s prediction results were superimposed to obtain the final prediction results.
3.5. Model Performance Criteria
4. Results
4.1. The Result of EMD-LSTM Model Prediction
4.2. The Result of Seismic Anomaly Identification
5. Discussion
5.1. Duration of Seismic Activity Impact on Precursor Anomaly Identification
5.2. Comparison with Other Models
5.3. Mechanism in the Precursory Anomalies of Radon
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Group | Magnitude of Earthquake (M) | Epicentral Distance (km) | Date | Seismic Energy Density (J/m3) |
---|---|---|---|---|
1 | 5.7 | 155 | 24 June 2012 | 100.442 |
5.7 | 176 | 7 September 2012 | 100.272 | |
2 | 5.9 | 284 | 31 August 2013 | 10−0.021 |
4.3 | 54 | 14 October 2013 | 10−0.068 | |
3 | 5.3 | 134 | 5 April 2014 | 100.017 |
4 | 6.5 | 136 | 3 August 2014 | 101.584 |
5.0 | 125 | 7 August 2014 | 10−0.097 | |
5.0 | 76 | 1 October 2014 | 100.361 | |
6.3 | 274 | 22 November 2014. | 100.564 | |
5.8 | 265 | 25 November 2014 | 10−0.118 | |
5 | 5.1 | 24 | 31 October 2018 | 102.024 |
6 | 6.0 | 265 | 17 June 2019 | 100.173 |
7 | 5.0 | 116 | 18 May 2020 | 10−0.194 |
T | The Value Of R2 in the Training Set | The Value of R2 in the Validation Set | The Average Value of R2 in the Prediction Set | The Difference between the Validation Set and the Prediction Set |
---|---|---|---|---|
±10 | 0.889 | 0.936 | 0.607 | 0.329 |
±30 | 0.895 | 0.949 | 0.671 | 0.278 |
±50 | 0.892 | 0.953 | 0.748 | 0.169 |
±100 | 0.890 | 0.961 | 0.756 | 0.205 |
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Feng, X.; Zhong, J.; Yan, R.; Zhou, Z.; Tian, L.; Zhao, J.; Yuan, Z. Groundwater Radon Precursor Anomalies Identification by EMD-LSTM Model. Water 2022, 14, 69. https://doi.org/10.3390/w14010069
Feng X, Zhong J, Yan R, Zhou Z, Tian L, Zhao J, Yuan Z. Groundwater Radon Precursor Anomalies Identification by EMD-LSTM Model. Water. 2022; 14(1):69. https://doi.org/10.3390/w14010069
Chicago/Turabian StyleFeng, Xiaobo, Jun Zhong, Rui Yan, Zhihua Zhou, Lei Tian, Jing Zhao, and Zhengyi Yuan. 2022. "Groundwater Radon Precursor Anomalies Identification by EMD-LSTM Model" Water 14, no. 1: 69. https://doi.org/10.3390/w14010069
APA StyleFeng, X., Zhong, J., Yan, R., Zhou, Z., Tian, L., Zhao, J., & Yuan, Z. (2022). Groundwater Radon Precursor Anomalies Identification by EMD-LSTM Model. Water, 14(1), 69. https://doi.org/10.3390/w14010069