A confined aquifer 20.0 m thick has two monitoring wells spaced 500m apart along the direction of groundwater flow. The difference in water level in the wells is 2.0m (the difference in piezometric head). The hydraulic conductivity is 50m/day. Estimate the rate of flow per meter of distance perpendicular to the flow. Aquifer porosity is 0.2 Suppose the aquifer becomes contaminated and the upgradient well is used as a monitoring well, whose purpose is to provide early detection of the approaching contaminant plume, how long after the monitoring well is contaminated would the drinking water from the second well become contaminated?

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter6: Hydraulic Conductivity
Section: Chapter Questions
Problem 6.15P
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Answer the following environmental engineering practice questions.

QUESTION No. 1
A confined aquifer 20.0 m thick has two monitoring wells spaced 500m apart along the
direction of groundwater flow. The difference in water level in the wells is 2.0m (the
difference in piezometric head). The hydraulic conductivity is 50m/day. Estimate the rate
of flow per meter of distance perpendicular to the flow. Aquifer porosity is 0.2
Suppose the aquifer becomes contaminated and the upgradient well is used as a
monitoring well, whose purpose is to provide early detection of the approaching
contaminant plume, how long after the monitoring well is contaminated would the
drinking water from the second well become contaminated?
QUESTION No. 2
Consider a contaminant plume that is 200m wide x 20m thick x 1000m long. If d'Arcy's
velocity is 2.0 x 106 m/s and the aquifer porosity is 0.4, what minimum pumping rate
would assure full plume capture, and how far apart should two wells be placed for
optimal location and alignment along the leading edge of the plume? (10+ 15 marks)
How long would it take to pump an amount of water equal to the volume of the water
contained in the plume?
QUESTION No. 3
A wastewater treatment plant serving a city of 600,000 persons discharges 4.0cu.m/s of
treated effluent having an ultimate BOD of 20.0mg/L into a stream that has a flow of
10.0cu.m/s and a BOD of its own equal to 6.0mg/L. The deoxygenation constant, kis
0.20/day. Assuming complete and instantaneous mixing, estimate the ultimate BOD of
the river just downstream from the outfall.
If the stream has a constant cross section, so that it flows at a fixed speed equal to
0.50m/s, estimate the BOD remaining in the stream at a distance 43,200m downstream.
GIVEN: L₁ = Loe-kdi
Transcribed Image Text:QUESTION No. 1 A confined aquifer 20.0 m thick has two monitoring wells spaced 500m apart along the direction of groundwater flow. The difference in water level in the wells is 2.0m (the difference in piezometric head). The hydraulic conductivity is 50m/day. Estimate the rate of flow per meter of distance perpendicular to the flow. Aquifer porosity is 0.2 Suppose the aquifer becomes contaminated and the upgradient well is used as a monitoring well, whose purpose is to provide early detection of the approaching contaminant plume, how long after the monitoring well is contaminated would the drinking water from the second well become contaminated? QUESTION No. 2 Consider a contaminant plume that is 200m wide x 20m thick x 1000m long. If d'Arcy's velocity is 2.0 x 106 m/s and the aquifer porosity is 0.4, what minimum pumping rate would assure full plume capture, and how far apart should two wells be placed for optimal location and alignment along the leading edge of the plume? (10+ 15 marks) How long would it take to pump an amount of water equal to the volume of the water contained in the plume? QUESTION No. 3 A wastewater treatment plant serving a city of 600,000 persons discharges 4.0cu.m/s of treated effluent having an ultimate BOD of 20.0mg/L into a stream that has a flow of 10.0cu.m/s and a BOD of its own equal to 6.0mg/L. The deoxygenation constant, kis 0.20/day. Assuming complete and instantaneous mixing, estimate the ultimate BOD of the river just downstream from the outfall. If the stream has a constant cross section, so that it flows at a fixed speed equal to 0.50m/s, estimate the BOD remaining in the stream at a distance 43,200m downstream. GIVEN: L₁ = Loe-kdi
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