# Effect of the Matrix Dam in the Paddy Field Drainage Ditch on Water Purification Based on the Physical Model Test

^{1}

^{2}

^{3}

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^{*}

## Abstract

**:**

## 1. Introduction

## 2. Materials and Methods

#### 2.1. Water Circulation System

#### 2.2. Design and Location of the Matrix Dam

#### 2.3. Determination of the Measuring Velocity Section

#### 2.4. Test Conditions

## 3. Results

#### 3.1. The Effect of the Location of Matrix Dam on the Flow Rate

#### 3.2. The Effect of the Matrix Dam Thickness on Flow Rate

## 4. Discussion

^{3}, and we set it at 2650 kg/m

^{3}in this paper. $\rho $ is the water density, and we set it at 1000 kg/m

^{3}. g is the gravitational acceleration, and we set it at 9.8 m/s

^{2}.

## 5. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Conflicts of Interest

## References

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**Figure 1.**Schematic diagram of water circulation system. 1. Water pump. 2. Water tower. 3. Overflow tube. 4. Water outlet pipe. 5. Inlet valve. 6. Inlet chamber. 7. Water level stylus. 8. Flume. 9. Tail tank. 10. Return water gallery. 11. Water storage pond.

**Figure 4.**The location of matrix dam in the flume. Section 1-1, 2-2, and 3-3 positions of the matrix dam in the flume. 4. Flume inlet. 5. Flume outlet.

**Figure 5.**The locations of the matrix dam, measuring velocity section, and velocity measuring point. (

**a**) The locations of the measuring velocity section and velocity measuring point when the matrix dam was at section 1-1. (

**b**) The locations of the measuring velocity section and velocity measuring point when the matrix dam was at section 2-2. (

**c**) The locations of the measuring velocity section and velocity measuring point when the matrix dam was at section 3-3.

**Figure 8.**The effect of the matrix dam thickness on flow rate and water level. (

**a**) The flow rates of each section in section 1-1 of three thicknesses of matrix dams. (

**b**) The water levels of each section in section 1-1 of three thicknesses of matrix dams. (

**c**) The flow rates of each section in section 2-2 of three thicknesses of matrix dams. (

**d**) The water levels of each section in section 2-2 of three thicknesses of matrix dams. (

**e**) The flow rates of each section in section 3-3 of three thicknesses of matrix dams. (

**f**) The water levels of each section in section 3-3 of three thicknesses of matrix dams.

Order | Matrix Dam Location | Dam Thickness (m) |
---|---|---|

1 | 0.3 | |

2 | 1-1 Section | 0.4 |

3 | 0.5 | |

4 | 0.3 | |

5 | 2-2 Section | 0.4 |

6 | 0.5 | |

7 | 0.3 | |

8 | 3-3 Section | 0.4 |

9 | 0.5 | |

10 | Nothing | -- |

**Table 2.**Flow rate and water level of each section under the action of matrix dams of different thicknesses.

Matrix Dam Thickness | Measurement Sections | The Matrix Dam Was Set in Section 1-1 | The Matrix Dam Was Set in Section 2-2 | The Matrix Dam Was Set in Section 3-3 | ||||||
---|---|---|---|---|---|---|---|---|---|---|

Flow Rate (m/s) | Water Level (m) | Decreasing Amplitude | Flow Rate (m/s) | Water Level (m) | Decreasing Amplitude | Flow Rate (m/s) | Water Level (m) | Decreasing Amplitude | ||

0.3 m | Section A-A | 0.316 | 0.119 | 69% | 0505 | 0.088 | 50% | 0.524 | 0.07 | 46% |

0.4 m | 0.416 | 0.099 | 59% | 0.878 | 0.05 | 14% | 0.836 | 0.051 | 14% | |

0.5 m | 0.377 | 0.102 | 63% | 0.783 | 0.057 | 23% | 0.882 | 0.050 | 9% | |

0.3 m | Section B-B | 0.206 | 0.145 | 80% | 0.24 | 0.13 | 76% | 0.273 | 0.105 | 72% |

0.4 m | 0.253 | 0.125 | 75% | 0.331 | 0.103 | 67% | 0.356 | 0.095 | 63% | |

0.5 m | 0.274 | 0.13 | 73% | 0.365 | 0.098 | 64% | 0.304 | 0.098 | 69% | |

0.3 m | Section C-C | 0.157 | 0.168 | 85% | 0.174 | 0.155 | 83% | 0.164 | 0.154 | 83% |

0.4 m | 0.205 | 0.139 | 80% | 0.21 | 0.138 | 79% | 0.202 | 0.138 | 79% | |

0.5 m | 0.202 | 0.141 | 80% | 0.21 | 0.136 | 79% | 0.188 | 0.145 | 81% |

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**MDPI and ACS Style**

Liu, H.; Yang, H.; Shang, H.; Su, F.; Ji, C.; Cheng, J.
Effect of the Matrix Dam in the Paddy Field Drainage Ditch on Water Purification Based on the Physical Model Test. *Sustainability* **2022**, *14*, 8620.
https://doi.org/10.3390/su14148620

**AMA Style**

Liu H, Yang H, Shang H, Su F, Ji C, Cheng J.
Effect of the Matrix Dam in the Paddy Field Drainage Ditch on Water Purification Based on the Physical Model Test. *Sustainability*. 2022; 14(14):8620.
https://doi.org/10.3390/su14148620

**Chicago/Turabian Style**

Liu, Haisheng, Hao Yang, Honghua Shang, Fangli Su, Changzhi Ji, and Jing Cheng.
2022. "Effect of the Matrix Dam in the Paddy Field Drainage Ditch on Water Purification Based on the Physical Model Test" *Sustainability* 14, no. 14: 8620.
https://doi.org/10.3390/su14148620