5.14A fully-penetrating well in a confined aquifer pumps at a constant rate of 1000 m/day for a long time. In two observation wells located 10m and 40m from the well the difference in hydraulic head is 0.5m. If the undisturbed head is 200m above the sea level, and the head in the farthest well is 198m, (1) estimate the aquifer transmissivity, and (2) calculate the radius of influence of the well.
5.14A fully-penetrating well in a confined aquifer pumps at a constant rate of 1000 m/day for a long time. In two observation wells located 10m and 40m from the well the difference in hydraulic head is 0.5m. If the undisturbed head is 200m above the sea level, and the head in the farthest well is 198m, (1) estimate the aquifer transmissivity, and (2) calculate the radius of influence of the well.
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![### Groundwater Hydrology Problem
**Problem 5.14: Estimation of Aquifer Transmissivity and Radius of Influence**
A fully-penetrating well in a confined aquifer is operating at a constant pumping rate of 1000 m³/day over an extended period. The hydraulic characteristics were monitored using two observation wells positioned at different distances from the pumping well.
**Observation Details:**
- The first observation well is situated 10 meters from the pumping well.
- The second observation well is located 40 meters from the pumping well.
- The observed difference in hydraulic head between the two observation wells is 0.5 meters.
- The undisturbed hydraulic head is measured to be 200 meters above sea level.
- The hydraulic head at the farther observation well (40 meters away) is 198 meters above sea level.
**Objectives:**
1. **Estimate the Aquifer Transmissivity:**
The transmissivity (T) of the aquifer needs to be calculated based on the given data. This involves using the hydraulic heads and distances to determine how readily the aquifer can transmit water.
2. **Calculate the Radius of Influence:**
Determine the radius of influence for the pumping well, which is the radial distance within which the pumping affects the groundwater levels.
**Analysis Requirements:**
- Understanding the principles of groundwater flow through confined aquifers.
- Application of appropriate formulas and hydraulic principles to estimate transmissivity and radius of influence.
- Interpreting the differences in hydraulic heads to infer aquifer characteristics.
This problem offers practical insights into groundwater management and the evaluation of aquifer properties, which are crucial for sustainable water resource management. Detailed step-by-step calculations are essential for effective understanding and application.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2d7e9b1-7208-47e7-acf1-5a4d04c3ff3b%2Ff125b5d8-b702-49ef-bcd8-fcd580158aee%2Fjfcuhcw_processed.png&w=3840&q=75)
Transcribed Image Text:### Groundwater Hydrology Problem
**Problem 5.14: Estimation of Aquifer Transmissivity and Radius of Influence**
A fully-penetrating well in a confined aquifer is operating at a constant pumping rate of 1000 m³/day over an extended period. The hydraulic characteristics were monitored using two observation wells positioned at different distances from the pumping well.
**Observation Details:**
- The first observation well is situated 10 meters from the pumping well.
- The second observation well is located 40 meters from the pumping well.
- The observed difference in hydraulic head between the two observation wells is 0.5 meters.
- The undisturbed hydraulic head is measured to be 200 meters above sea level.
- The hydraulic head at the farther observation well (40 meters away) is 198 meters above sea level.
**Objectives:**
1. **Estimate the Aquifer Transmissivity:**
The transmissivity (T) of the aquifer needs to be calculated based on the given data. This involves using the hydraulic heads and distances to determine how readily the aquifer can transmit water.
2. **Calculate the Radius of Influence:**
Determine the radius of influence for the pumping well, which is the radial distance within which the pumping affects the groundwater levels.
**Analysis Requirements:**
- Understanding the principles of groundwater flow through confined aquifers.
- Application of appropriate formulas and hydraulic principles to estimate transmissivity and radius of influence.
- Interpreting the differences in hydraulic heads to infer aquifer characteristics.
This problem offers practical insights into groundwater management and the evaluation of aquifer properties, which are crucial for sustainable water resource management. Detailed step-by-step calculations are essential for effective understanding and application.
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