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The depths of penetrations along the length of a boarder strip at points 30 metres apart were probed. Their observed values are 2.0, 1.9, 1.8, 1.6 and 1.5 metres. Compute the water distribution efficiency.

The depths of penetrations along the length of a boarder strip at points 30 metres apart were probed. Their observed values are 2.0, 1.9, 1.8, 1.6 and 1.5 metres. Compute the water distribution efficiency.

Principles of Geotechnical Engineering (MindTap Course List)
Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Braja M. Das, Khaled Sobhan
Chapter7: Permeability
Section: Chapter Questions
Problem 7.22P: Refer to Figure 7.24. The following data were collected during the field permeability measurement of...
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### Water Distribution Efficiency Analysis **Problem Statement:** The depths of penetrations along the length of a border strip at points 30 meters apart were probed. Their observed values are 2.0, 1.9, 1.8, 1.6, and 1.5 meters. Compute the water distribution efficiency. ### Understanding the given data: - The observed penetration depths at each 30-meter interval are: - First point: 2.0 meters - Second point: 1.9 meters - Third point: 1.8 meters - Fourth point: 1.6 meters - Fifth point: 1.5 meters ### What is Water Distribution Efficiency? Water distribution efficiency is a measure of how evenly water is distributed across the entire irrigated area. It takes into consideration the variation in depth of water penetration into the soil. ### Calculation of Water Distribution Efficiency: There are different methods to calculate water distribution efficiency. One common approach is to calculate the ratio of the minimum depth of water penetration to the average depth of water penetration. 1. **Calculate the average depth of water penetration:** Sum of depths = 2.0 + 1.9 + 1.8 + 1.6 + 1.5 = 8.8 meters Average depth = Total sum of depths / Number of observations = 8.8 meters / 5 = 1.76 meters 2. **Identify the minimum depth of water penetration:** Minimum depth = 1.5 meters 3. **Compute the water distribution efficiency:** Water Distribution Efficiency (%) = (Minimum depth / Average depth) * 100 = (1.5 meters / 1.76 meters) * 100 ≈ 85.23 % ### Conclusion: Therefore, the water distribution efficiency in this example is approximately 85.23%. This indicates how uniformly the water has been distributed along the border strip at the probed points.
Transcribed Image Text:### Water Distribution Efficiency Analysis **Problem Statement:** The depths of penetrations along the length of a border strip at points 30 meters apart were probed. Their observed values are 2.0, 1.9, 1.8, 1.6, and 1.5 meters. Compute the water distribution efficiency. ### Understanding the given data: - The observed penetration depths at each 30-meter interval are: - First point: 2.0 meters - Second point: 1.9 meters - Third point: 1.8 meters - Fourth point: 1.6 meters - Fifth point: 1.5 meters ### What is Water Distribution Efficiency? Water distribution efficiency is a measure of how evenly water is distributed across the entire irrigated area. It takes into consideration the variation in depth of water penetration into the soil. ### Calculation of Water Distribution Efficiency: There are different methods to calculate water distribution efficiency. One common approach is to calculate the ratio of the minimum depth of water penetration to the average depth of water penetration. 1. **Calculate the average depth of water penetration:** Sum of depths = 2.0 + 1.9 + 1.8 + 1.6 + 1.5 = 8.8 meters Average depth = Total sum of depths / Number of observations = 8.8 meters / 5 = 1.76 meters 2. **Identify the minimum depth of water penetration:** Minimum depth = 1.5 meters 3. **Compute the water distribution efficiency:** Water Distribution Efficiency (%) = (Minimum depth / Average depth) * 100 = (1.5 meters / 1.76 meters) * 100 ≈ 85.23 % ### Conclusion: Therefore, the water distribution efficiency in this example is approximately 85.23%. This indicates how uniformly the water has been distributed along the border strip at the probed points.
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