1 GROUNDWATER HYDROLOGY AND CONTAMINANT TRANSPORT CEVE 518 P.C. de Blanc C.J. Newell 1.Porosity and...
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Transcript of 1 GROUNDWATER HYDROLOGY AND CONTAMINANT TRANSPORT CEVE 518 P.C. de Blanc C.J. Newell 1.Porosity and...
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1
GROUNDWATER HYDROLOGY AND CONTAMINANT TRANSPORTCEVE 518
P.C. de BlancC.J. Newell
1. Porosity and Density Continued
2. Saturation and Water Content
3. Darcy’s Law
4. Hydraulic Head
Lecture 3
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GROUNDWATER HYDROLOGY AND CONTAMINANT TRANSPORTCEVE 518
P.C. de BlancC.J. Newell
1. Porosity and Density Continued
2. Saturation and Water Content
3. Darcy’s Law
4. Hydraulic Head
Lecture 3
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GROUNDWATER HYDROLOGY AND CONTAMINANT TRANSPORTCEVE 518
P.C. de BlancC.J. Newell
1. Porosity and Density Continued
2. Saturation and Water Content
3. Darcy’s Law
4. Hydraulic Head
Lecture 3
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Capillary Rise in a Tube
Domenico and Schwartz, 1992.
=pw
xA
Qpw −=
xA
Qpw −=
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5Charbeneau, 2000.
Soil Moisture Held by Capillary Pressure
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Soil Water Characteristic Curve isa Function of pore size
Charbeneau, 2000.
0 nclaynsandr,layr,and
Capillary forces hold water tightly in small clay pores.Capillary forces hold water tightly in small clay pores.
Larger sand pores produce lower capillary pressures.
Larger sand pores produce lower capillary pressures.
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7Fetter, 1999.
Relatively wide range of pore sizes from small to large results in widely
varying capillary pressures.
Relatively wide range of pore sizes from small to large results in widely
varying capillary pressures.
Narrow range of particle sizes results in relatively small range of capillary
pressures.
Narrow range of particle sizes results in relatively small range of capillary
pressures.
Soil Water Characteristic Curve is a Function ofSorting (Pore Size Distribution)
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Soil Water Characteristic Curves Also Represent WaterContent as a Function of Height Above Water Table
Fetter, 1999.
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Capillary pressure May Be More EasilyConceived of as the Independent Variable
Charbeneau, 2000.
capillary pressure(increasing height above water table)
0 -103
wat
er
con
ten
tnclay
nsand
clay
sand
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GROUNDWATER HYDROLOGY AND CONTAMINANT TRANSPORTCEVE 518
P.C. de BlancC.J. Newell
1. Porosity and Density Continued
2. Saturation and Water Content
3. Darcy’s Law
4. Hydraulic Head
Lecture 3
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Who Was Darcy? Henry Philibert Gaspard Darcy was born June 10, 1803 in
Dijon, France.
Admitted to the French School of Bridges and Roads in Paris, part of the Corps of Bridges and Roads. After graduation, he was eventually assigned by the Corps to a position in Dijon.
In 1828, Darcy designed a 12.7 km system of aqueducts to supply the city of Dijon with surface water. The system included 28,000 m of pressurized surface lines and required no pumps or filters.
Made important contributions to flow and friction loss in pipes, created an improved pitot tube design, and was the first to postulate the existance of a boundary layer in fluid flow.
In 1856, carried out experiments while researching sand filters that lead to Darcy’s Law.
Died unexpectedly January 3, 1858 from pneumonia during a trip to Paris.
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Darcy’s Experimental Apparatus
Domenico and Schwartz, 1992.
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Darcy’s Experimental Data
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Darcy’s Experimental Data
Darcy's Data from One Experiment
y = 2.6743x + 1.2547
R2 = 0.9972
0
5
10
15
20
25
30
35
0 2 4 6 8 10 12
Head Loss (m)
Flow Rate (L/min)
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L 0.58 mdiam. 0.35 mn 0.38
A 0.096211 m2
CalcExperiment Duration Q dp Ratio K K
No. (min) L/min (m) V/dp (m/min) cm/s1 25 3.6 1.11 3.25 0.019552 3.26E-022 20 7.65 2.36 3.24 0.019541 3.26E-023 15 12 4 3 0.018085 3.01E-024 18 14.28 4.9 2.91 0.017568 2.93E-025 17 15.2 5.02 3.03 0.018253 3.04E-026 17 21.8 7.63 2.86 0.017224 2.87E-027 11 23.41 8.13 2.88 0.017359 2.89E-028 15 24.5 8.58 2.85 0.017214 2.87E-029 13 27.8 9.86 2.82 0.016997 2.83E-0210 10 29.4 10.89 2.7 0.016275 2.71E-02
Darcy’s Data in English (One Experiment)
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Velocity through Porous Medium
“Porosity” = 0.5
en
qv =
xA
Qv =
Porosity = 0.5
Pipe Porous Medium
Solid
Void Space
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Darcy’s Legacy
Place Darcy, Dijon, France.
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18
Can you Help the French Postal Service?
39¢ 39¢
YoungDarcy
OldDarcy
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GROUNDWATER HYDROLOGY AND CONTAMINANT TRANSPORTCEVE 518
P.C. de BlancC.J. Newell
1. Porosity and Density Continued
2. Saturation and Water Content
3. Darcy’s Law
4. Hydraulic Head
Lecture 3
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20
Pressure and Elevation Heads - Laboratory
Freeze and Cherry, 1979.
= pressure headz = elevation headh = + z = total head
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21Freeze and Cherry, 1979.
= pressure headz = elevation headh = total head
Pressure and Elevation Heads - Field
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Horizontal and Vertical Head Gradients
Freeze and Cherry, 1979.
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23
Two Confined Aquifers with Different Heads
Charbeneau, 2000.
Groundwater will tend to flow from the top aquifer to the bottom aquifer.
(Assuming that horizontal distance between piezometers is small)
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Hydraulic Head is a Potential Field
Hubbert (1940): potential – a physical quantity, capable of measurement at every point in a flow system, whose properties are such that flow always occurs from regions in which the quantity has a higher values of those in which it has lower, regardless of the direction in space.
Potential fields and associated physical laws:
Head (Darcy’s Law)
Temperature (Fourier’s Law) Conduction of heat in solids
Concentration (Fick’s Law) Diffusion of chemicals dx
dCDJ
dx
dTkF
dx
dhKq
m−=
−=
−= FluidFlux
HeatFlux
MassFlux
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Horizontal and Vertical Head Gradients
Freeze and Cherry, 1979.
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Horizontal and Vertical Head Gradients
Freeze and Cherry, 1979.
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27
Potentiometric Surface – Dakota Sandstone
Domenico and Schwartz, 1992.