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Radial flow to a confined aquifer
From Mays, 2011, Ground and Surface Water Hydrology
𝑄 = 2𝜋𝐾𝑏
ℎ − ℎ𝑤
ln(𝑟/𝑟𝑤)
ℎ − ℎ𝑤 =
𝑄 ln 𝑟/𝑟𝑤
2𝜋𝐾𝑏
Radial flow to a confined aquifer
From Mays, 2011, Ground and Surface Water Hydrology
𝑄 = 2𝜋𝐾𝑏
ℎ − ℎ𝑤
ln(𝑟/𝑟𝑤)
ℎ − ℎ𝑤 =
𝑄 ln 𝑟/𝑟𝑤
2𝜋𝐾𝑏
In the above figure and equations, transmissivity is
represented by
A ln(𝑟/𝑟𝑤); B Q; C Kb; D h-hw; E None of the
options
Radial flow to a confined aquifer
From Mays, 2011, Ground and Surface Water Hydrology
𝑄 = 2𝜋𝐾𝑏
ℎ − ℎ𝑤
ln(𝑟/𝑟𝑤)
ℎ − ℎ𝑤 =
𝑄 ln 𝑟/𝑟𝑤
2𝜋𝐾𝑏
The well labeled A is a
A Artesian well; B Flowing well; C Observation well;
D Fracking well; E None of the options
A
Radial flow to a confined aquifer
From Mays, 2011, Ground and Surface Water Hydrology
𝑄 = 2𝜋𝐾𝑏
ℎ − ℎ𝑤
ln(𝑟/𝑟𝑤)
ℎ − ℎ𝑤 =
𝑄 ln 𝑟/𝑟𝑤
2𝜋𝐾𝑏
The piezometric surface is labeled
A B C D E
A
C
D
B
E
Radial flow to a confined aquifer
From Mays, 2011, Ground and Surface Water Hydrology
𝑄 = 2𝜋𝐾𝑏
ℎ − ℎ𝑤
ln(𝑟/𝑟𝑤)
ℎ − ℎ𝑤 =
𝑄 ln 𝑟/𝑟𝑤
2𝜋𝐾𝑏
The drawdown is denoted by
A r; B h; C s; D b; E Kb;
The Dupoit assumptions mean
A. The groundwater flow is in a straight line
B. The groundwater flow is horizontal
C. The groundwater flow is radial to a confined aquifer
D. The groundwater flow has Reynolds number less
than 1
E. Apply only to unconfined aquifers
Radial Flow to an Unconfined Aquifer
From Mays, 2011, Ground and Surface Water Hydrology
A well penetrates an unconfined aquifer.
The initial water level is ho=25 m. After a
long period of pumping at 0.05 m3/s, the
drawdowns at 50 and 150 m from the well
were observed to be 3 and 1.2 m
respectively.
Compute the hydraulic conductivity and
radius of influence
What type of deposit is the aquifer
If rw=0.5 m, what is the drawdown at the
well
If the water height in the well is hw= 10 m,
what are the head losses at the well
What is the drawdown at 500 m.
Figure 3.2.2
Range of Values of Hydraulic Conductivity
From Mays, 2011, Ground and Surface Water Hydrology
Radial Flow to an Unconfined Aquifer with Recharge
From Mays, 2011, Ground and Surface Water Hydrology
Example 4.2.5.
A pumping well is used to maintain a
lowered water table at a construction
site. 25 cm dia well. K=0.864 m/day,
W=0.06 m/day. Water table must be
lowered 3 m over the site that is 50 m
square.

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UnconfinedAquifer14.pptx

  • 1. Radial flow to a confined aquifer From Mays, 2011, Ground and Surface Water Hydrology 𝑄 = 2𝜋𝐾𝑏 ℎ − ℎ𝑤 ln(𝑟/𝑟𝑤) ℎ − ℎ𝑤 = 𝑄 ln 𝑟/𝑟𝑤 2𝜋𝐾𝑏
  • 2. Radial flow to a confined aquifer From Mays, 2011, Ground and Surface Water Hydrology 𝑄 = 2𝜋𝐾𝑏 ℎ − ℎ𝑤 ln(𝑟/𝑟𝑤) ℎ − ℎ𝑤 = 𝑄 ln 𝑟/𝑟𝑤 2𝜋𝐾𝑏 In the above figure and equations, transmissivity is represented by A ln(𝑟/𝑟𝑤); B Q; C Kb; D h-hw; E None of the options
  • 3. Radial flow to a confined aquifer From Mays, 2011, Ground and Surface Water Hydrology 𝑄 = 2𝜋𝐾𝑏 ℎ − ℎ𝑤 ln(𝑟/𝑟𝑤) ℎ − ℎ𝑤 = 𝑄 ln 𝑟/𝑟𝑤 2𝜋𝐾𝑏 The well labeled A is a A Artesian well; B Flowing well; C Observation well; D Fracking well; E None of the options A
  • 4. Radial flow to a confined aquifer From Mays, 2011, Ground and Surface Water Hydrology 𝑄 = 2𝜋𝐾𝑏 ℎ − ℎ𝑤 ln(𝑟/𝑟𝑤) ℎ − ℎ𝑤 = 𝑄 ln 𝑟/𝑟𝑤 2𝜋𝐾𝑏 The piezometric surface is labeled A B C D E A C D B E
  • 5. Radial flow to a confined aquifer From Mays, 2011, Ground and Surface Water Hydrology 𝑄 = 2𝜋𝐾𝑏 ℎ − ℎ𝑤 ln(𝑟/𝑟𝑤) ℎ − ℎ𝑤 = 𝑄 ln 𝑟/𝑟𝑤 2𝜋𝐾𝑏 The drawdown is denoted by A r; B h; C s; D b; E Kb;
  • 6. The Dupoit assumptions mean A. The groundwater flow is in a straight line B. The groundwater flow is horizontal C. The groundwater flow is radial to a confined aquifer D. The groundwater flow has Reynolds number less than 1 E. Apply only to unconfined aquifers
  • 7. Radial Flow to an Unconfined Aquifer From Mays, 2011, Ground and Surface Water Hydrology A well penetrates an unconfined aquifer. The initial water level is ho=25 m. After a long period of pumping at 0.05 m3/s, the drawdowns at 50 and 150 m from the well were observed to be 3 and 1.2 m respectively. Compute the hydraulic conductivity and radius of influence What type of deposit is the aquifer If rw=0.5 m, what is the drawdown at the well If the water height in the well is hw= 10 m, what are the head losses at the well What is the drawdown at 500 m.
  • 8. Figure 3.2.2 Range of Values of Hydraulic Conductivity From Mays, 2011, Ground and Surface Water Hydrology
  • 9. Radial Flow to an Unconfined Aquifer with Recharge From Mays, 2011, Ground and Surface Water Hydrology Example 4.2.5. A pumping well is used to maintain a lowered water table at a construction site. 25 cm dia well. K=0.864 m/day, W=0.06 m/day. Water table must be lowered 3 m over the site that is 50 m square.

Notes de l'éditeur

  1. Work example 4.2.1 and 4.2.2
  2. Work example 4.2.1 and 4.2.2
  3. Work example 4.2.1 and 4.2.2
  4. Work example 4.2.1 and 4.2.2
  5. Work example 4.2.1 and 4.2.2
  6. Work example 4.2.1 and 4.2.2
  7. Work example 4.2.3
  8. Work example 4.2.5