Groundwater Pollution Source and Aquifer Parameter Estimation Based on a Stacked Autoencoder Substitute
Abstract
:1. Introduction
2. Methodology
2.1. The Mathematical Simulator
2.2. The SAE Substitute
- (1)
- Greedy training layer by layer without supervision
- (2)
- Supervised fine adjustment
2.3. CHSIP
3. Application
3.1. Site Profile
3.2. Operation of Simulator
3.3. Establishment of Substitute
3.3.1. Acquiring of Training and Testing Samples
3.3.2. Establishment of GP Substitute
3.3.3. Establishment of SAE Substitute
4. Outcomes and Discussions
4.1. Accuracy of the Substitute
4.2. Estimation Outcomes
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Unknown Variables | Truth Value |
---|---|
P1 (g/s) | 29.3 |
P2 (g/s) | 21.3 |
P3 (g/s) | 12.8 |
K1 (m/d) | 143.5 |
K2 (m/d) | 36.2 |
K3 (m/d) | 13.4 |
L (m) | 20 |
T (m) | 4 |
Interval | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
---|---|---|---|---|---|---|---|---|
Monitoring well 1 (mg/L) | 101 | 520 | 825 | 1030 | 840 | 600 | 340 | 195 |
Monitoring well 2 (mg/L) | 11 | 23 | 124 | 275 | 440 | 596 | 610 | 580 |
Monitoring well 3 (mg/L) | 3 | 6 | 8 | 12 | 45 | 135 | 240 | 365 |
Parameter | |||||||||
---|---|---|---|---|---|---|---|---|---|
Value | 0.17 | 0.06 | 0.02 | 0.06 | 0.50 | 1.47 | 0.27 | 0.15 | 0.29 |
Unknown Variable | Truth Value | Point Estimation | Relative Error |
---|---|---|---|
P1 (g/s) | 29.3 | 29.7 | 1.37% |
P2 (g/s) | 21.3 | 20.7 | 2.82% |
P3 (g/s) | 12.8 | 13.2 | 3.12% |
K1 (m/d) | 143.5 | 140.5 | 2.09% |
K2 (m/d) | 36.2 | 36.8 | 1.66% |
K3 (m/d) | 13.4 | 13.1 | 2.24% |
L (m) | 20 | 20.5 | 2.50% |
T (m) | 4 | 3.85 | 3.75% |
Monitoring Well | Precision Evaluation Index | GP | SAE |
---|---|---|---|
1 | Index I | 0.8935 | 0.9912 |
Index II (%) | 24.66 | 14.73 | |
Index III (mg/L) | 27.69 | 18.01 | |
Index IV (%) | 14.16 | 4.17 | |
2 | Index I | 0.8827 | 0.9937 |
Index II (%) | 32.73 | 10.30 | |
Index III (mg/L) | 30.13 | 16.58 | |
Index IV (%) | 17.41 | 3.85 | |
3 | Index I | 0.8852 | 0.9945 |
Index II (%) | 27.90 | 8.56 | |
Index III (mg/L) | 32.23 | 16.12 | |
Index IV (%) | 15.26 | 3.59 |
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Wang, H.; Zhang, J.; Li, H.; Li, G.; Guo, J.; Lu, W. Groundwater Pollution Source and Aquifer Parameter Estimation Based on a Stacked Autoencoder Substitute. Water 2024, 16, 2564. https://doi.org/10.3390/w16182564
Wang H, Zhang J, Li H, Li G, Guo J, Lu W. Groundwater Pollution Source and Aquifer Parameter Estimation Based on a Stacked Autoencoder Substitute. Water. 2024; 16(18):2564. https://doi.org/10.3390/w16182564
Chicago/Turabian StyleWang, Han, Jinping Zhang, Hang Li, Guanghua Li, Jiayuan Guo, and Wenxi Lu. 2024. "Groundwater Pollution Source and Aquifer Parameter Estimation Based on a Stacked Autoencoder Substitute" Water 16, no. 18: 2564. https://doi.org/10.3390/w16182564