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Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below Rain Gauge Number 1 2 3 4 5 6 Rainfall Depth (mm) 470 465 435 525 480 510 Area of Thiessen Polygon (×104 m2 ) 95 100 98 80 85 92 Find the average Rainfall using Thissen polygon method.?
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Rainfall depth over a watershed is monitored through six number of wel...
Thiessen Polygon Method for Average Rainfall Calculation
The Thiessen Polygon method is a technique used to estimate average rainfall over a watershed based on rainfall data collected from multiple rain gauges. Here's how you can calculate the average rainfall using the Thiessen Polygon method:
Step 1: Calculate the Area of Each Thiessen Polygon
- The area of each Thiessen polygon is determined by drawing perpendicular bisectors between adjacent rain gauges and calculating the area that each rain gauge influences.
Step 2: Calculate the Weighted Average Rainfall
- To calculate the average rainfall, you need to multiply the rainfall depth at each rain gauge by the area of its corresponding Thiessen polygon.
- Then, sum up all the products obtained in the previous step.
- Finally, divide the total sum by the total area of all Thiessen polygons to get the average rainfall over the watershed.
Calculation Example:
- For rain gauge 1: 470 mm * 95 × 10^4 m2 = 4.465 × 10^7 mm*m2
- For rain gauge 2: 465 mm * 100 × 10^4 m2 = 4.650 × 10^7 mm*m2
- For rain gauge 3: 435 mm * 98 × 10^4 m2 = 4.263 × 10^7 mm*m2
- For rain gauge 4: 525 mm * 80 × 10^4 m2 = 4.200 × 10^7 mm*m2
- For rain gauge 5: 480 mm * 85 × 10^4 m2 = 4.080 × 10^7 mm*m2
- For rain gauge 6: 510 mm * 92 × 10^4 m2 = 4.692 × 10^7 mm*m2
Total sum = 26.350 × 10^7 mm*m2
Total area = 550 × 10^4 m2
Average Rainfall = Total sum / Total area
Average Rainfall = 26.350 × 10^7 mm*m2 / 550 × 10^4 m2
Average Rainfall = 47.91 mm
Therefore, the average rainfall over the watershed using the Thiessen Polygon method is 47.91 mm.
The Thiessen Polygon method is a technique used to estimate average rainfall over a watershed based on rainfall data collected from multiple rain gauges. Here's how you can calculate the average rainfall using the Thiessen Polygon method:
Step 1: Calculate the Area of Each Thiessen Polygon
- The area of each Thiessen polygon is determined by drawing perpendicular bisectors between adjacent rain gauges and calculating the area that each rain gauge influences.
Step 2: Calculate the Weighted Average Rainfall
- To calculate the average rainfall, you need to multiply the rainfall depth at each rain gauge by the area of its corresponding Thiessen polygon.
- Then, sum up all the products obtained in the previous step.
- Finally, divide the total sum by the total area of all Thiessen polygons to get the average rainfall over the watershed.
Calculation Example:
- For rain gauge 1: 470 mm * 95 × 10^4 m2 = 4.465 × 10^7 mm*m2
- For rain gauge 2: 465 mm * 100 × 10^4 m2 = 4.650 × 10^7 mm*m2
- For rain gauge 3: 435 mm * 98 × 10^4 m2 = 4.263 × 10^7 mm*m2
- For rain gauge 4: 525 mm * 80 × 10^4 m2 = 4.200 × 10^7 mm*m2
- For rain gauge 5: 480 mm * 85 × 10^4 m2 = 4.080 × 10^7 mm*m2
- For rain gauge 6: 510 mm * 92 × 10^4 m2 = 4.692 × 10^7 mm*m2
Total sum = 26.350 × 10^7 mm*m2
Total area = 550 × 10^4 m2
Average Rainfall = Total sum / Total area
Average Rainfall = 26.350 × 10^7 mm*m2 / 550 × 10^4 m2
Average Rainfall = 47.91 mm
Therefore, the average rainfall over the watershed using the Thiessen Polygon method is 47.91 mm.
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Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below Rain Gauge Number 1 2 3 4 5 6 Rainfall Depth (mm) 470 465 435 525 480 510 Area of Thiessen Polygon (×104 m2 ) 95 100 98 80 85 92 Find the average Rainfall using Thissen polygon method.?
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Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below Rain Gauge Number 1 2 3 4 5 6 Rainfall Depth (mm) 470 465 435 525 480 510 Area of Thiessen Polygon (×104 m2 ) 95 100 98 80 85 92 Find the average Rainfall using Thissen polygon method.? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below Rain Gauge Number 1 2 3 4 5 6 Rainfall Depth (mm) 470 465 435 525 480 510 Area of Thiessen Polygon (×104 m2 ) 95 100 98 80 85 92 Find the average Rainfall using Thissen polygon method.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below Rain Gauge Number 1 2 3 4 5 6 Rainfall Depth (mm) 470 465 435 525 480 510 Area of Thiessen Polygon (×104 m2 ) 95 100 98 80 85 92 Find the average Rainfall using Thissen polygon method.?.
Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below Rain Gauge Number 1 2 3 4 5 6 Rainfall Depth (mm) 470 465 435 525 480 510 Area of Thiessen Polygon (×104 m2 ) 95 100 98 80 85 92 Find the average Rainfall using Thissen polygon method.? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below Rain Gauge Number 1 2 3 4 5 6 Rainfall Depth (mm) 470 465 435 525 480 510 Area of Thiessen Polygon (×104 m2 ) 95 100 98 80 85 92 Find the average Rainfall using Thissen polygon method.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below Rain Gauge Number 1 2 3 4 5 6 Rainfall Depth (mm) 470 465 435 525 480 510 Area of Thiessen Polygon (×104 m2 ) 95 100 98 80 85 92 Find the average Rainfall using Thissen polygon method.?.
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Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below Rain Gauge Number 1 2 3 4 5 6 Rainfall Depth (mm) 470 465 435 525 480 510 Area of Thiessen Polygon (×104 m2 ) 95 100 98 80 85 92 Find the average Rainfall using Thissen polygon method.?, a detailed solution for Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below Rain Gauge Number 1 2 3 4 5 6 Rainfall Depth (mm) 470 465 435 525 480 510 Area of Thiessen Polygon (×104 m2 ) 95 100 98 80 85 92 Find the average Rainfall using Thissen polygon method.? has been provided alongside types of Rainfall depth over a watershed is monitored through six number of well distributed rain gauges. Gauged data are given below Rain Gauge Number 1 2 3 4 5 6 Rainfall Depth (mm) 470 465 435 525 480 510 Area of Thiessen Polygon (×104 m2 ) 95 100 98 80 85 92 Find the average Rainfall using Thissen polygon method.? theory, EduRev gives you an
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