ENV 4932 UW Wetland Hydrology Transport Using Moments Analysis Report

Description

We are currently learning about wetland transport using Moments analysis, advection dispersion equation and tanks in series model using given breakthrough curve data. Please see the assignment and excel data attached. I will supply lecture material as well as a BTC practice we didnt finish. We only finished moments analysis. I will try to finish the ADE and TIS and send when I can.

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START RECORDING!
Solute transport in the Everglades
(Harvey et al. 2005)
Wetland Hydrology
Fall 2020 – Lecture 18
David Kaplan, Ph.D.
UF Environmental Engineering Sciences
Coming Up
• Friday: Office Hours (Zoom, via Canvas):
4 – 5 PM
Next Week
• 11/3 – No class – VOTE!
• 11/5 – Exam 2 Review (in class)
• 11/6 – HW#2 Due
Later, But Soon
• 11/10 – Exam 2 (2 hours, any time)
à
à
Recall: Wetland Transport
Our overarching job: understand constituent fate and transport
transport
fate
fate
TRANSPORT: Hydrology
FATE: Physics, Chemistry, Biology
Harvey et al. 2005
Harvey et al. 2005
Harvey et al. 2005
Harvey et al. 2005
Harvey et al. 2005
Everglades
Ridge
Slough
Harvey et al. 2005
• Steady, 22-hr injection (100
mL/min) of NaBr
• Br: conservative and very low
background concentration
• Monitored 6.8 m downstream
of the injection for 48 hrs.
• Small volume, low flow
samples in water column,
porewater, and peat sediment.
Harvey et al. 2005
Harvey et al. 2005
Harvey et al. 2005
Harvey et al. 2005
Harvey et al. 2005
Harvey et al. 2005
Harvey et al. 2005
“A key result was that the average velocity through the
surface water system (0.34 cm s1) was retarded by… 50%
compared to mean velocity of flow in the relatively ‘‘open’’
part of the water column (0.69 cm s1), where only
emergent macrophyte stems were present.”
The reduction in the rate of solute transport was due to
exchange that occurs with relatively slow moving or
stagnant water in floating vegetation, and in pore water of
floc and peat. We tentatively conclude that storage zone 1
predominantly characterized solute exchange between the
main flow zone and the thick floating mat of Utricularia
spp., while storage zone 2 predominantly characterized
surface-subsurface exchange with pore water in floc and
peat in our Everglades tracer experiment.
Everglades
Ridge
Slough
Harvey et al. 2005
“Increased understanding of these storage processes is important for
several reasons. Storage in wetlands causes dispersion and delay of
solutes moving through the Everglades. Storage zones are likely also to
be locations of enhanced biogeochemical reactions, which could have
substantial effects on water quality in the Everglades.
Future research could focus on more
definitive identification of storage
processes and how to parameterize
them based on physical principles…in
order to investigate the combined
effects of physical transport and
chemical reaction on water quality in
the Everglades and in other wetlands.”
Coming Up
• Friday: Office Hours (Zoom, via Canvas):
4 – 5 PM
Next Week
• 11/3 – No class – VOTE!
• 11/5 – Exam 2 Review (in class)
• 11/6 – HW#2 Due
Later, But Soon
• 11/10 – Exam 2 (2 hours, any time)
à
à
START RECORDING!
Wetland Transport Models IV:
Intro to Pollutant Removal
Wetland Hydrology
Fall 2020 – Lecture 17
David Kaplan, Ph.D.
UF Environmental Engineering Sciences
Coming Up
• Thursday: Case Studies…and I’ll stick around for HW help
• Friday: Office Hours (Zoom, via Canvas): 4 – 5 PM
Next Week
• 11/3 – No class – VOTE!
• 11/5 – Exam 2 Review (in class)
• 11/6 – HW#2 Due
Later, But Soon
• 11/10 – Exam 2 (2 hours, any time)
Last Time: Living in the Moment
Well, at least the first three moments…
Last Time: Moment Analysis of BTC Data
In general:
#
𝑀! = # 𝑡 ! 𝑄 𝑡 𝐶(𝑡)𝑑𝑡
”
Zero, First, Second Moments:
#
𝑀” = #
𝑡 “𝑄
#
𝑡 𝐶 𝑡 𝑑𝑡 = # 𝑄 𝑡 𝐶 𝑡 𝑑𝑡
”
”
#
#
𝑀$ = # 𝑡 $𝑄 𝑡 𝐶 𝑡 𝑑𝑡 = # 𝑡 ∗ 𝑄 𝑡 𝐶 𝑡 𝑑𝑡
”
#
𝑀% = # 𝑡 %𝑄 𝑡 𝐶 𝑡 𝑑𝑡
”
”
𝐿! 𝑀
𝑇 =𝑀
𝑇 𝐿!
𝐿! 𝑀
[𝑇]
𝑇 = 𝑀𝑇
𝑇 𝐿!
!
𝐿
𝑀
[𝑇 ” ]
𝑇 = 𝑀𝑇 ”
!
𝑇 𝐿
Last Time: Practice
2. ADE – Fit analytical solution to observations (fit Co, D, Dt, delay)
𝐶
1
𝑥 − 𝑣𝑡
𝑣𝑥
𝑥 + 𝑣𝑡
= erfc
+ exp
erfc
𝐶! 2
𝐷
2 𝐷𝑡
2 𝐷𝑡
v = mean water velocity =
Q/(h*w*e)
3. TIS – Fit “gamma” model to observed data (fit N, delay)
𝐶(𝑡2𝜏)
𝑁
𝑡
=
𝑁
𝑀!
Γ(𝑁)
𝜏
“#$
𝑒𝑥𝑝 −𝑁
𝑡
𝜏
C(t)/M0
1. How to find “best” fit?
2. How to shift/delay
1
2
3
4
5
t/t
6
7
8
…
Last Time: Practice
2. ADE – Fit analytical solution to observations (fit Co, D, Dt, delay)
𝐶
1
𝑥 − 𝑣𝑡
𝑣𝑥
𝑥 + 𝑣𝑡
= erfc
+ exp
erfc
𝐶! 2
𝐷
2 𝐷𝑡
2 𝐷𝑡
v = mean water velocity =
Q/(h*w*e)
You will solve for v based on t, L, h, e, and Q (so v will be known)
Need to fit Dt, D, and Co
x = L (length of wetland), since C(t) is at the outlet
Some other hints:
§ erfc(-b) = 1 + erf(b);
§ erfc(-b) = 2 – erfc(b)
§ erfc(b) = 1 – erfc(b)
§ So…IF(b

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Tags:
University of Washington

PFR

Wetland Hydrology

TIS Model

wetland velocity

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