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1. Evapotranspiration Plan
ET in Water Resources
Evaporation physics
Transpiration Process
Methods to estimate E and ET
2. ET
3. Evapotranspiration
4. Evaporation Transition from liquid to vapor
Sublimation from solid to vapor
6. Evapotranspiration in Water Resources Recall Homework 1, how much of the annual precipitatation was lost to ET in Dry Creek?
7. ET in Water Resources Agrimet (http://www.usbr.gov/pn/agrimet/)
(http://www.kimberly.uidaho.edu/ETIdaho/)
8. ET and Streamflow
10. ET in Water Resources Water Yield Vegetation is sometimes cleared to improve water yield
http://ag.arizona.edu/oals/watershed/highlands/ponderosapine/ppmanagement.html
http://books.google.com/books?id=dHo4nO4ssJYC&pg=PA124&lpg=PA124&dq=watershed+ET+yield&source=bl&ots=7WfWdoMS6n&sig=oZFAVIR8LP1oVM-0PSm0DYflaYo&hl=en&ei=Nr6sSayIDcTAnQejl8C2Bg&sa=X&oi=book_result&resnum=3&ct=result
http://www.srnr.arizona.edu/nemo/newsitems/NEMO_RipETBrochure.pdf
11. Evaporation Physics Basic physical principles
Conservation of Mass
Conservation of Energy
Ideal Gas Law related to water vapor
Latent heat of phase change
Turbulent transfer near the ground - (diffusion of momentum) Conservation of Mass
Diffusive process driven by a vapor pressure gradient
12. Evaporation Physics
13. Evaporation Physics Daltons Law
E a (esat(Ts) ea)
esat(Ts) is the vapor pressure of the liquid which is related to the temperature of the liquid
Evaporation occurs when the above relationship is positive.
Condensation occurs when the above relationship is negative.
What happens if relative humidity is 100%, but esat(Ts) > ea?
14. Evaporation Physics
15. Evaporation Physics Daltons law is a proportionality. We make it an equality by adding a conductance term
E = KeVa (esat(Ts) ea))
UNITS: E = (LT2M-1)(LT-1)(ML-1T-2) = L/T
16. Evaporation Physics Note the similarity between Daltons Law and our equation for LE:
E = KeVa (esat(Ts) ea) = L/T
LE = KleVa (esat(Ts) ea) = Energy/(L2T)
The relationship between E and LE is embodied in the K terms.
Ke = Kle/?w?v
17. Evaporation Physics
18. Evaporation Physics So, there are 4 conditions necessary for evaporation to occur.
Energy available for phase change
Water available at the surface or in root zone
Vapor pressure gradient, or dry air
Wind Capacity of the atmosphere to transport away moisture
Factors that influence evaporation include anything that influence the above
19. Evaporation from different surfaces are represented by different K values
20. Open Water Evaporation
21. Bare Soil Evaporation (pp 291-293
22. Bare Soil Evaporation
23. Transpiration
24. Transpiration
25. Transpiration
26. Transpiration
27. Transpiration The physics of evaporation from stomata are the same as for open water. The only difference is the conductance term.
Conductance is a two step process
stomata to leaf surface
leaf surface to atmosphere
28. Transpiration Evaporation from the leaf surface is simply open water evaporation
E = KeVa(es-ea)
For transpiration we simply need to add the first step
T = KeVa(es-ea) + Cleaf(est-es)
Cleaf is leaf conductance and est is the vapor pressure in the stomatal cavity
29. Transpiration Leaf Conductance
See equation 7-52
Related to
number of stomata per unit area
Species particular
size of the stomatal opening (Table 7-6)
Controlled by light intensity, CO2, vapor pressure difference, leaf temperature, leaf water content
See figure 7-13
30. Transpiration Canapy Conductance
Ccan = fs(LAI)Cleaf
fs = shelter factor
LAI = Leaf Area Index
31. Estimating Evaporation and ET
33. EstimatingEvaporation, POT, and actual Evapotranspiration No good direct measurement method
Methods
Pan
Water balance
Mass transfer approach
Energy balance approach
Combination Penman Monteith
Eddy correlation
Temperate index Thornthwaite
Radiation index Priestley Taylor
34. Pan method
35. Pan Evaporation
36. Water Balance Evaporation or Actual Evapotranspiration can be calculated as the residual
in-out = ds
Can be written for any body of open water, watershed, soil, pan..
difficult to apply for large water bodies
accuracy increases as dt increases
38. Soil Water Balance
39. Mass Transfer Approach apply Daltons law see equations 7-18a,b
requires measurement of wind speed, surface vapor pressure, and air vapor pressure. None of these are commonly measured.
Only good over short periods of time
Gives instantaneous rate
Ke is highly variable
Many problems make this technique difficult to apply.
40. Energy Balance Approach Just like snowmelt calculations
See equation 7-22. Solve the energy budget equation for everything except LE. LE is the residual, then convert to E
Notice the addition of Aw. What is advected water energy?
Again, the technique is difficult to apply
Data intensive
Only good over small time intervals
Need water surface temperature
Bowen ratio is often used to eliminate the need to calculate sensible heat.
42. Combination Approach A key difficulty to applying the mass-transfer or energy balance approach is the need for surface temperature. If the two approaches are combined, the need to measure Ts disappears.
See equation 7-33. Evaporation is the weighted sum of the rate due to net radiation and the rate due to mass transfer.
Data needed
K, L, Va, Ta, RH
Question: how do we obtain L?
Penman is a commonly used approach
Open water eqn 7-33, page 286
ET eqn 7-56, page 299
Whats the difference?
43. Combination Approach Lets look at the terms in the Penman-Monteith equation
D= ?
(K+L) = ?
Gamma = ?
Cat Ccan = ?
Wa=?
Is this an actual or potential ET approach?
44. Combination Approach
45. Other Concepts to Know Priestly Taylor
Radiation Index (not in book)
Thornthwaite
Temperature Index (not in book)
Turbulent transfer
Eddy correlation, Bowen ratio
Soil Moisture Balance
Isotopes