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Comparison of Three Advection Dispersion Equations
- Varitations in x & v only affect breathrough time
- If Dx relationships remain the same no change in BTC shape
- Dx impacts equations
Conclusions
From Class
- Inaccurate ADE assumptions
(Homogenous isotropic saturated medium)
Logan (1999)
- Flaws of classical A.D.E at high Dx highlighted
Traditional A.D.E:
- logans ADE simplification justified
Groundwater Simplification:
Kuntz et. al.
Comparison of Three A.D.E.s
The Point
Br- Tracer
Problem Statement
ADE, MIM, CTRW
Solute Transport
What was Used
Compare strengths and weaknesses of the three A.D.Es
A.D.E. variation
Parker et. al.
Field scale variability
Adjusts velocity term
Derive BTC data
Tracer study parameters
Variations of Kuntz et. al.
x & v
x,v, Dx
Using the study "Quantifying Solute Transport at the Shale Hills CZO"
By Greg Lackey
Solution Approach
Calculate inital Dx
Need more parameters
Results
Dx = 0.1Lpv+D
D = 10^-5 cm2s-1
Lp = Plume length (x)
Vary Dx by 0.4,4,&40
Same v, x, varied Dx
v =2.7E-3 cm/s x = 4.5 m
Different v & x. Calculated Dx
F: Dx = 0.1556
E: Dx = 1.556
Slower V from class
Another arbitrary x
A: v = 2.7E-3 cm/s
x = 4.5 m
B: v = 1E-4 cm/s
x = 100 m
H: Dx = 0.01556
Different v, x. Dx*40
G: Dx = 0.039
D: v = 1E-4 cm/s
x = 100 m
C: v = 2.7E-3 cm/s
x = 4.5 m