Exercise 4-1 (Problem ?? pp. ??)The Theis (Eqn. 5.12, p. 162) and Cooper-Jacob (Eqn. 5.54 p. 180) equations can both be used to estimate drawdown for confined aquifer transient problems.A fully penetrating pumping well flows at 300 gpm in a confined aquifer with transmissivity of 11,500 gpd/ft and storage coefficient of 0.00043.The two models are:1. Theis: s(r, t) =W(u)4&T2. Cooper-Jacob: s(r, t) = -0.5772-In(u)]4πTwhere u =Determine:T²S4Tt1. The drawdown at an observation well 125 ft from the pumping well at 3 hr after pumping started using the Theis solution.2. The drawdown at an observation well 125 ft from the pumping well at 3 hr after pumping started using the Cooper-Jacob simplification.3. For this distance of 125 ft, at what time value in hours does u=0.01?

Rate of flow, Q=300 gpm Transmissivity, T=11500 gpd/ft Storage coefficient = 0.00043 It is asked…

Determine: 1. The drawdown at an observation well 125 ft from the pumping well at 3 hr after pumping started using the Theis solution. 2. The drawdown at an observation well 125 ft from the pumping well at 3 hr after pumping started using the Cooper-Jacob simplification. 3. For this distance of 125 ft, at what time value in hours does u=0.01?

Determine: 1. The drawdown at an observation well 125 ft from the pumping well at 3 hr after pumping started using the Theis solution. 2. The drawdown at an observation well 125 ft from the pumping well at 3 hr after pumping started using the Cooper-Jacob simplification. 3. For this distance of 125 ft, at what time value in hours does u=0.01?

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

Groundwater Flow

The term groundwater refers to the water which is found beneath the earth's surface. Pores present in the soil and rocks with fractures make a passage for rainwater to enter the earth's surface and deposit as groundwater. The flow nature and direction of groundwater under the earth's surface directly impacts the strength and compressibility of the soil, which reflects its ability to support structural loads.

Question

Exercise 4-1 (Problem ?? pp. ??)
The Theis (Eqn. 5.12, p. 162) and Cooper-Jacob (Eqn. 5.54 p. 180) equations can both be used to estimate drawdown for confined aquifer transient problems.
A fully penetrating pumping well flows at 300 gpm in a confined aquifer with transmissivity of 11,500 gpd/ft and storage coefficient of 0.00043.
The two models are:
1. Theis: s(r, t) =
W(u)
4&T
2. Cooper-Jacob: s(r, t) = -0.5772-In(u)]
4πT
where u =
Determine:
T²S
4Tt
1. The drawdown at an observation well 125 ft from the pumping well at 3 hr after pumping started using the Theis solution.
2. The drawdown at an observation well 125 ft from the pumping well at 3 hr after pumping started using the Cooper-Jacob simplification.
3. For this distance of 125 ft, at what time value in hours does u=0.01?

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Step 2: Drawdown at an observation well using Theis solution:

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Step 3: Drawdown at an observation well using Cooper-Jacob solution:

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Step 4: Time value in hours for u=0.01:

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