**Table 9.1: Values of Well Function $ W(u) $ as a Function of the Non-Dimensional Parameter $ u $**This table presents the values of the well function $ W(u) $ across various non-dimensional parameter values $ u $. The table is structured with $ u $ values as rows and indices from 1 to 9 as columns. The leftmost column indicates the multiplier for $ u $.| $ u $ Multiplier | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 ||-------------------|-------|-------|-------|---------------|--------------|---------------|------------|---------|----------|| $ \times 1 $ | 0.219 | 0.049 | 0.013 | 3.8 $ \times 10^{-3} $ | 1.1 $ \times 10^{-3} $ | 3.6 $ \times 10^{-1} $ | 1.2 $ \times 10^{-4} $ | 3.8 $ \times 10^{-5} $ | 1.2 $ \times 10^{-5} $ || $ \times 10^{-1} $ | 1.82 | 1.22 | 0.91 | 0.7 | 0.56 | 0.45 | 0.37 | 0.31 | 0.26 || $ \times 10^{-2} $ | 4.04 | 3.35 | 2.96 | 2.68 | 2.47 | 2.3 | 2.15 | 2.03 | 1.92 || $ \times 10^{-3} $ | 6.33 | 5.64 | 5.23 | 4.95 | 4.73 | 4.54 | 4.39 | 4.26 | 4.14 || $ \times 10^{-4} $ | 8.63 | 7.94 | 7.53 **Problem 10: Aquifer Pumping Calculation**A single well pumps water from a horizontally infinite confined aquifer at a rate of 6 m³/day, starting at time $ t = 0 $. The aquifer has the following properties:- Transmissivity ($ T $): 50 m²/day- Storativity ($ S $): 0.0001**Objective:**Utilize the Theis solution (Equations 9.4.5-7) along with data from Table 9.1 to compute the drawdown in a monitoring well situated 44 meters from the pumping well. Perform this calculation for two scenarios:- **After 10 days**- **After 90 days**Please refer to the relevant equations and tables in your study materials to determine the drawdown values accurately.

10. A single well pumps water from a horizontally infinite confined aquifer at a rate of 6 m³/day beginning at time t = 0. The aquifer has a transmissivity (T) of 50 m²/day and a storativity S of 0.0001. Use the Theis solution (eqs. 9.4.5-7) and Table 9.1 to calculate the drawdown in a monitoring well located 44 m from the pumping well after 10 days and after 90 days.

10. A single well pumps water from a horizontally infinite confined aquifer at a rate of 6 m³/day beginning at time t = 0. The aquifer has a transmissivity (T) of 50 m²/day and a storativity S of 0.0001. Use the Theis solution (eqs. 9.4.5-7) and Table 9.1 to calculate the drawdown in a monitoring well located 44 m from the pumping well after 10 days and after 90 days.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Principles of Seepage

In hydrology, when water flows down in a pore or crack of unsaturated soil due to gravity, the deep layer of soil is called seepage. It is the slow movement of water in the soil layer. Seepage is mainly found near hydraulic structures and is responsible for the stability of earthen-type hydraulic structures.

Question

**Table 9.1: Values of Well Function $ W(u) $ as a Function of the Non-Dimensional Parameter $ u $**

This table presents the values of the well function $ W(u) $ across various non-dimensional parameter values $ u $. The table is structured with $ u $ values as rows and indices from 1 to 9 as columns. The leftmost column indicates the multiplier for $ u $.

| $ u $ Multiplier | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|-------------------|-------|-------|-------|---------------|--------------|---------------|------------|---------|----------|
| $ \times 1 $ | 0.219 | 0.049 | 0.013 | 3.8 $ \times 10^{-3} $ | 1.1 $ \times 10^{-3} $ | 3.6 $ \times 10^{-1} $ | 1.2 $ \times 10^{-4} $ | 3.8 $ \times 10^{-5} $ | 1.2 $ \times 10^{-5} $ |
| $ \times 10^{-1} $ | 1.82 | 1.22 | 0.91 | 0.7 | 0.56 | 0.45 | 0.37 | 0.31 | 0.26 |
| $ \times 10^{-2} $ | 4.04 | 3.35 | 2.96 | 2.68 | 2.47 | 2.3 | 2.15 | 2.03 | 1.92 |
| $ \times 10^{-3} $ | 6.33 | 5.64 | 5.23 | 4.95 | 4.73 | 4.54 | 4.39 | 4.26 | 4.14 |
| $ \times 10^{-4} $ | 8.63 | 7.94 | 7.53

**Problem 10: Aquifer Pumping Calculation**

A single well pumps water from a horizontally infinite confined aquifer at a rate of 6 m³/day, starting at time $ t = 0 $. The aquifer has the following properties:
- Transmissivity ($ T $): 50 m²/day
- Storativity ($ S $): 0.0001

**Objective:**

Utilize the Theis solution (Equations 9.4.5-7) along with data from Table 9.1 to compute the drawdown in a monitoring well situated 44 meters from the pumping well. Perform this calculation for two scenarios:
- **After 10 days**
- **After 90 days**

Please refer to the relevant equations and tables in your study materials to determine the drawdown values accurately.

Expert Solution

Step 1

Given data:-

Rate of flow, $Q = 6 m^{3} / day$

Transmissivity, $T = 50 m^{2} / day$

Storativity, $S = 0.0001$

Radial distance of well, $r = 44 m$

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