# Separation Method of Main and Foreign Water for the Measuring Weirs of Danjiangkou Earth-Rock Dam

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## Abstract

**:**

## 1. Introduction

## 2. Methodology

#### 2.1. Statistical Model for Seepage Monitoring Considering Hysteresis Effect

#### 2.2. Separation Method of Main and Foreign Water for the Measuring Weirs

#### 2.3. Solution Method of Model Parameters

- (1)
- Encircle prey

- (2)
- Hunt

## 3. Results and Discussion

#### 3.1. Project Overview

#### 3.2. Statistical Model

#### 3.3. Separation of Main and Foreign Water for the Measuring Weirs

## 4. Conclusions

- (1)
- Normal distribution function and Rayleigh distribution function can effectively describe the lag effect of reservoir water level and rainfall on earth-rock dam seepage. The grey wolf algorithm can efficiently solve the optimal lag effect parameters of reservoir water level and rainfall.
- (2)
- The overall fitting accuracy of the statistical model is very high, the multi-correlation coefficients are about 0.95 and the residual standard deviations are smaller than 0.09. However, the fitting effect will be reduced and needs to be improved in the case of excessive rainfall leading to a seepage surge.
- (3)
- The correlation between the factors can be significantly reduced by extracting the influence factor components through the partial least square method, and then the main and foreign water of the seepage discharge of the measuring weir can be separated with higher accuracy.
- (4)
- The separated main and foreign water seepage discharge conform to the general law of earth-rock dam seepage, which verifies the effectiveness of this method.

## Author Contributions

## Funding

## Data Availability Statement

## Conflicts of Interest

## References

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**Figure 2.**The diagrams of the earth-rock structure (Unit: cm for the structure and m for the elevation).

WE01XFG | WE01ZXD | WE01YXD | |
---|---|---|---|

${a}_{0}$ | −6.12475 | −0.37834 | −1.62599 |

${a}_{1}$ | 0.02762 | 0.01090 | 0.03447 |

${a}_{2}$ | 0.00012 | 0.00005 | 0.00015 |

${a}_{3}$ | 196.15377 | −86.40445 | −284.75328 |

${a}_{4}$ | 0.02236 | 0.00752 | 0.03731 |

${a}_{5}$ | 0.00079 | 0.00074 | −0.00027 |

${a}_{6}$ | 28.02389 | 13.83270 | 26.42021 |

${a}_{7}$ | −0.26945 | 0.11529 | 0.27446 |

${a}_{8}$ | −0.22962 | 0.03136 | 0.10285 |

${a}_{9}$ | −0.00463 | −0.00170 | 0.00011 |

${a}_{10}$ | −0.15639 | −0.01281 | 0.03411 |

$R$ (Multi-correlation coefficient) | 0.95610 | 0.94490 | 0.94600 |

$S$ (Residual standard deviation) | 0.06880 | 0.08870 | 0.07190 |

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**MDPI and ACS Style**

Fang, W.; Zhang, W.; Zhang, C.; Xie, Z.; Yu, T. Separation Method of Main and Foreign Water for the Measuring Weirs of Danjiangkou Earth-Rock Dam. *Water* **2022**, *14*, 3620.
https://doi.org/10.3390/w14223620

**AMA Style**

Fang W, Zhang W, Zhang C, Xie Z, Yu T. Separation Method of Main and Foreign Water for the Measuring Weirs of Danjiangkou Earth-Rock Dam. *Water*. 2022; 14(22):3620.
https://doi.org/10.3390/w14223620

**Chicago/Turabian Style**

Fang, Weihua, Weiping Zhang, Chenghan Zhang, Zhiwen Xie, and Tiantang Yu. 2022. "Separation Method of Main and Foreign Water for the Measuring Weirs of Danjiangkou Earth-Rock Dam" *Water* 14, no. 22: 3620.
https://doi.org/10.3390/w14223620