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Oxidation pond for Terai town, 12,000

Short answer

For 12,000 people at 100 lpcd and 250 mg/l BOD, Q=1200 m³/d, BOD load=300 kg/d. Using 300 kg/ha/day, area=1 ha, volume=11000 m³, detention=9.17 days. Adopt 71 m × 142 m at 1.1 m depth, total depth 1.6 m with free board, and provide a buffer zone around the embankment.

Calculate detention time and dimension of an oxidation pond for a town in Terai Region of Nepal with the following data. Draw neat sketch with necessary components showing buffer zone and detail dimensions as designed. Population = 12,000; Sewage flow = 100 lpcd; BOD of incoming sewage = 250 mg/l; Assume operational depth at 1.1 m.

Assumptions

Terai has a warm climate, so a surface organic loading of λs=300\lambda_s=300 kg BOD/ha/day (usual range 200-400) is adopted. Length : width =2:1=2:1. Operational depth =1.1=1.1 m (given). Free board 0.5 m, embankment slopes 1 : 2 (inside) and 1 : 1.5 (outside), crest width 3 m.

Step 1: Flow and load

Q=12000×100/1000=1200 m3/dayBOD load=1200×250/1000=300 kg/day\begin{aligned} Q &= 12000\times100/1000 = 1200\ \text{m}^3/\text{day}\\ \text{BOD load} &= 1200\times250/1000 = 300\ \text{kg/day} \end{aligned}

Step 2: Area, volume and detention time

A=300300=1.00 ha=10000 m2V=A×d=10000×1.1=11000 m3t=VQ=110001200=9.17 days (within 5-30 days: OK)\begin{aligned} A &= \frac{300}{300}=1.00\ \text{ha}=10000\ \text{m}^2\\ V &= A\times d = 10000\times1.1=11000\ \text{m}^3\\ t &= \frac{V}{Q}=\frac{11000}{1200}=9.17\ \text{days}\ (\text{within 5-30 days: OK}) \end{aligned}

Step 3: Dimensions

W=A2=100002=70.7 m (adopt 71 m),L=2W=141.4 m (adopt 142 m)W=\sqrt{\frac{A}{2}}=\sqrt{\frac{10000}{2}}=70.7\ \text{m (adopt 71 m)},\qquad L=2W=141.4\ \text{m (adopt 142 m)}

Pond water surface (at mean depth) =71 m×142 m=10082=71\ \text{m}\times142\ \text{m}=10082 m². Total depth =1.1+0.5=1.6=1.1+0.5=1.6 m. If possible, provide two ponds in parallel (each about half the area), so that one can be desludged.

Sketch (plan)

 +--------------------------------------------+
 |  buffer zone (trees), 50 m (assumed)       |
 |   +------------------------------------+   |
 |   | crest 3 m                          |   |
 |   |  +------------------------------+  |   |
 |   |  |     POND 71 m x 142 m        |  |   |
 |   |  | inlet ->  d = 1.1 m -> outlet|  |   |
 |   |  +------------------------------+  |   |
 |   +------------------------------------+   |
 +--------------------------------------------+
  Section: crest 3m, slope 1:2, FB 0.5 m, d 1.1 m

Answer: detention time =9.17=9.17 days; pond area =10000=10000 m² (≈71 m×142 m\approx71\ \text{m}\times142\ \text{m} at mean depth), depth 1.1 m, with a buffer zone around the embankment.

✓ Answer checked by Claude Opus 5.5 (high effort)

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