09-19 Lecture.ppt
- 1. Watershed Hydrology Lab. Fall 2006 1 5/10/2023 Evapotranspiration Watershed Hydrology NREM 691 Week 3 Ali Fares, Ph.D.
- 2. 5/10/2023 Watershed Hydrology Lab. Fall 2006 2 Objectives of this chapter • Explain and differentiate among the processes of evaporation from a water body, evaporation from soil, and transpiration from a plant • Understand and be able to solve for evapotranspiration (ET) using a water budget & energy budget method • Explain potential ET and actual ET relationships in the field. • Under what conditions are they similar? • Under what conditions are they different? • Understand and explain how changes in vegetative cover affect ET. • Describe methods used in estimating potential and actual ET
- 3. 5/10/2023 Watershed Hydrology Lab. Fall 2006 3 Conservation of Energy • The conservation equation as applied to energy, or conservation of energy, is known as the energy balance. • How precipitation is partitioned into infiltration, runoff, evapo-transpiration, etc., similarly, we can look at how incoming radiation from the sun and from the atmosphere is partitioned into different energy fluxes (where the term flux denotes a rate of transfer (e.g. of mass, energy or momentum) per unit area).
- 4. 5/10/2023 Watershed Hydrology Lab. Fall 2006 4 Water & Energy relationship • There is strong link between the water and energy balance: • Partitioning of incoming radiation into the various fluxes of energy ( energy for ET, energy to heat the atmosphere and energy to heat the ground) depends on the water balance and how much water is present in soils and available for evapotranspiration. • the partitioning of precipitation into the various water fluxes (e.g. runoff and infiltration) depends on how much energy is available for ET. • Just as changes in water balance were reflected in changes in storage in water amounts (soil moisture in a root zone; level of a lake) changes in energy balance are reflected in temperature changes. • Just as we wrote water balances for a number of different control volumes, we could write energy balances for the same control volumes.
- 5. 5/10/2023 Watershed Hydrology Lab. Fall 2006 5 Evapotranspiration ΔS= watershed storage variation (mm): Send–Sbeginning P = Precipitation (mm) Q = Stream flow (mm) ΔD = Seepage out – seepage in (mm) ET = evaporation and transpiration (mm) ET = P – Q – ΔS - ΔD
- 6. 5/10/2023 Watershed Hydrology Lab. Fall 2006 6 Energy Budget for an ideal surface • An ideal surface is: • smooth • horizontal • homogeneous • extensive • very thin land/atmosphere interface • no mass • no heat capacity • no horizontal heat exchange
- 7. 5/10/2023 Watershed Hydrology Lab. Fall 2006 7 Energy Budget for an ideal surface • Energy budget is: • Rn = H + LE + G • where Rn is net radiation at the surface; • H is sensible heat exchanged with the atmosphere; • LE is latent heat exchanged with the atmosphere; and • G is heat exchanged with the ground.
- 8. 5/10/2023 Watershed Hydrology Lab. Fall 2006 8 Net Radiation • Net radiation is composed of shortwave radiation, K, from the sun, and longwave radiation, L from the atmosphere and from the ground, so that • Rn = K + L • The radiation from the sun (solar radiation) is often referred to as shortwave radiation, and the radiation from the atmosphere and the ground (i.e. atmospheric and terrestrial radiation) as longwave radiation, since the wavelength of the electromagnetic emitted by these bodies is inversely proportional to their temperatures.
- 9. 5/10/2023 Watershed Hydrology Lab. Fall 2006 9 Shortwave radiation input. • What happens to incoming SR as it enters the earths atmosphere on the way to the surface • Backscattered by air e.g. when radiation strikes particles in the atmosphere on the same order of magnitude as the radiation wavelength (dust, moisture, aerosols) • Reflected in the atmosphere by clouds • Absorbed by clouds, dust, water vapor; or • Reflected at land surface Chow et al. (1988)
- 10. 5/10/2023 Watershed Hydrology Lab. Fall 2006 10 Net Solar Energy Flux • The net flux of solar energy entering the land surface is therefore given as • K = Kin - Kout = Kin (1-a) • where • K in is the incident solar energy on the surface, and it includes direct solar radiation (i.e. that which makes it through the atmosphere unscathed) and diffuse (due to scattering by aerosols and gases); • Kout is the reflected flux; • a is the albedo • Solar radiation is measured in specialized meteorological stations with radiometers.
- 11. 5/10/2023 Watershed Hydrology Lab. Fall 2006 11 Longwave radiation input • Longwave radiation input. All matter at a temperature above absolute zero radiates energy in the form of electromagnetic radiation which travels at the speed of light. • The rate at which this energy is emitted is given by the Stefan-Boltzman law • Qr = esT4 • where Qr is the rate of energy emission per L2 T- 1, T is the absolute temperature of the surface, s is a universal constant called the Stefan- Boltzman constant, e is a dimensionless quantity called the emissivity
- 12. 5/10/2023 Watershed Hydrology Lab. Fall 2006 12 • The emissivity ranges from 0 to 1, depending on the material and surface texture. • A surface with e equal to 1 is called a blackbody. Most earth materials have emissivities near 1. • LW radiation is emitted by bodies at near earth surface temperatures (the land surface and the lower atmosphere). • The net input of LW radiation, L, is the difference between the incident flux, Lin, which is emitted by the atmosphere, clouds and overlying vegetation canopy, and the outgoing radiation emitted from the land surface: • L = Lin - Lout • LW radiation is measured using radiometers. • As in the case of shortwave, the instruments are rare except at intense research sites. So, it is usually estimated from more readily available meteorological information. These estimates are based on the following physics.
- 13. 5/10/2023 Watershed Hydrology Lab. Fall 2006 13 • The flux or radiation emitted by the atmosphere is • Lin = eatsTat 4 • and at denotes atmosphere . Outgoing radiation is the sum of the radiation emitted by the surface and that fraction of the incoming longwave that is reflected • Lout = essTs 4+(1-es)Lin • The subscript s denotes land surface. For the case of gray bodies (e<1) reflectivity equals 1 - emissivity.
- 14. 5/10/2023 Watershed Hydrology Lab. Fall 2006 14 Sensible heat • Sensible Heat • H = cara/rah (Ta-Ts) • Note that this equation is essentially a conductivity times a gradient, corrected for the properties of the fluid. • ca is the heat capacity of air • ra is the density of air • rah is the aerodynamic resistance to heat transport and is given by • • rah = 1 / k2 u (z(m)) {ln{zm/zo}}2 • k is von Karmann's constant (0.4) • u (z(m)) is wind speed at measurement height zm • zo is known as the roughness height of the surface and depends of the irregularity of the surface
- 15. 5/10/2023 Watershed Hydrology Lab. Fall 2006 15 Latent Heat • Latent Heat • LE = cara/ grav (es-ea) • where • L is the latent heat of vaporization • E is the rate of evaporation • rav = rah • g is the psychrometric constant, and is a function of atmospheric pressure, density of air, etc. • es,ea are the vapor pressures measured at the surface and in the lower atmosphere •
- 16. 5/10/2023 Watershed Hydrology Lab. Fall 2006 16 Ground heat Flux • Ground Heat Flux • G = kG dT/dz • where • kG is the thermal conductivity of the soil • dT/dz is the vertical temperature gradient • Thermal conductivities of soils depend on soil texture, soil density, and moisture content, and vary widely in space. Owing to this variability, and the fact that dT/dz is tough to measure, G is often neglected or estimated in energy balance computations
- 17. 5/10/2023 Watershed Hydrology Lab. Fall 2006 17 Evapotranspiration • More than 95% of 300mm in Arizona • > 70% annual precipitation in the US • In General: ET/P is – ~ 1 for dry conditions – ET/P < 1 for humid climates & ET is governed by available energy rather than availability of water • For humid climates, vegetative cover affects the magnitude of ET and thus, Q (stream flow). • In Dry climate, effect of vegetative cover on ET is limited. • ET affects water yield by affecting antecedent water status of a watershed high ET result in large storage to store part of precipitation
- 18. 5/10/2023 Watershed Hydrology Lab. Fall 2006 18 evapotranspiration summarizes all processes that return liquid water back into water vapor - evaporation (E): direct transfer of water from open water bodies or soil surfaces - transpiration (T): indirect transfer of water from root- stomatal system • of the water taken up by plants, ~95% is returned to the atmosphere through their stomata (only 5% is turned into biomass!) • Before E and T can occur there must be: • A flow of energy to the evaporating or transpiring surfaces • A flow of liquid water to these surfaces, and • A flow of vapor away from these surfaces. •Total ET is change as a result of any changes That happens to any of these 3. Evapotranspiration
- 19. 5/10/2023 Watershed Hydrology Lab. Fall 2006 19 • Three main factors affect E or T from evaporating & transpiring surfaces: – Supply of energy to provide the latent heat of evaporation – Ability to transport the vapor away from the evaporative surface – Supply of water at the evaporative surface • Source of energy? Is solar radiation • What take vapors away from evaporating surface? Wind and humidity gradient • Evaporation includes: – Soil -- vegetation surface – transpiration – => Evapotranspiration, ET
- 20. 5/10/2023 Watershed Hydrology Lab. Fall 2006 20 The linkage between water and energy budgets • Is direct; • the net energy available at the earth’s surface is apportioned largely in response to the presence or absence of water. • Reasons for studying it are: – To develop a better understanding of Hydrological cycle – Be able to quantify or estimate E and ET (soil, water or snowmelt)
- 21. 5/10/2023 Watershed Hydrology Lab. Fall 2006 21 Radiation • All substances with T > 0 0K (0C + 273) emit EM radiation as: – W = εσT4 Eq. 3.2 • Radiation amount is temp. dependent. • Short- and long- wave are T depended • Shortwave radiation: the hotter the sub the shorter the wavelength • Absorbed shortwave radiation depends on Albedo. • Albedo is the portion of shortwave reflected by an object. • Sun @ 6000oK emits 105 cal cm-2 min- 1 vs. soil 300oK (27oC) emits 0.66 cal cm-2 min-1 • Shortwave radiation comprises direct solar radiation (Ws) & diffuse radiation (ws) – ws scattered and reflected radiation • Caused by air molecules; reflection from cloud, dust & other particules • Diffuse skylight is about 15% of total sol radiation • Total amount of SW radiation absorbed by objects depends on albedo. • The net SW radiation at a surface is: (1-α)(Ws + ws) • Light colored surfaces have a higher albedo than dark-colored surfaces. – New snow 80-95% – Dry sand 35-60% – Mixed forest 18% – Bare soil 11 • Atmosphere & terrestrial objects emit long wave radiation. • Soil and plant surfaces reflect only a small portion of total downward long wave radiation (Ia). • The net longwave radiation at is a surface is difference between incoming (Ia) & emitted (Ig) long water radiation: Ia – Ig • Net radiation available at a surface: • Rn = (1-α)(Ws + ws) + Ia – Ig
- 22. 5/10/2023 Watershed Hydrology Lab. Fall 2006 22 Energy Budget • Net radiation: Rn=(Ws+ws)(1- α)+Ia-Ig • Rn is determined by measuring incoming & outgoing short- & long- wave rad. over a surface. • Rn can – or + • If Rn > 0 then can be allocated at a surface as follows: • Rn = (L)(E) + H + G + Ps • L is latent heat of vaporization, E evaporation, H energy flux that heats the air or sensible heat, G is heat of conduction to ground and Ps is energy of photosynthesis. • LE represents energy available for evaporating water • Rn is the primary source for ET & snow melt.
- 23. 5/10/2023 Watershed Hydrology Lab. Fall 2006 23 • In a watershed Rn, (LE) latent heat and sensible heat (H) are of interest. • Sensible heat can be substantial in a watershed, Oasis effect were a well- watered plant community can receive large amounts of sensible heat from the surrounding dry, hot desert. • See Table 3.2 comparison • See box 3.1 illustrates the energy budget calculations for an oasis condition. • An island of tall forest vegetation presents more surface area than an low- growing vegetation does (e.g. grass). • The total latent heat flux is determined by: – LE = Rn + H • Advection is movement of warm air to cooler plant- soil-water surfaces. • Convection is the vertical component of sensible- heat transfer.
- 24. 5/10/2023 Watershed Hydrology Lab. Fall 2006 24 Water movement in plants • Illustration of the energy differentials which drive the water movement from the soil, into the roots, up the stalk, into the leaves and out into the atmosphere. The water moves from a less negative soil moisture tension to a more negative tension in the atmosphere.
- 25. 5/10/2023 Watershed Hydrology Lab. Fall 2006 25 Yw~ -1.3 MPa Yw~ -1.0 MPa Yw~ -0.8 MPa Yw~ -0.75 MPa Yw~ -0.15 MPa Ys~ -0.025 MPa
- 26. 5/10/2023 Watershed Hydrology Lab. Fall 2006 26 Soil Water Mass Balance • Lysimeters have a weighing device and a drainage system, which permit continuous measurement of excess water and draining below the root zone and plant water use, evapotranspiration. Lysimeters have high cost and may not provide a reliable measurement of the field water balance. • There are different ways to estimate drainage. • The direct method is the use of lysimeters.
- 27. 5/10/2023 Watershed Hydrology Lab. Fall 2006 27 Water Mass balance Equation • ET = Evapotranspiration • R, I = Rain & Irrigation • D = Drainage Below Rootzone • RO = Runoff • S = Soil Water Storage variation • U = upward capillary flow S =(I + R + U) - (D + RO + ET)
- 28. 5/10/2023 Watershed Hydrology Lab. Fall 2006 28 Evapo-transpiration Transpiration Evaporation Rain Runoff Drainage Root Zone Water Storage Irrigation Below Root Zone
- 29. 5/10/2023 Watershed Hydrology Lab. Fall 2006 29 Calendar Days (1997) 0 30 60 90 120 150 180 210 240 270 300 330 360 Daily Evapotranspiration (mm) 1 2 3 4 5 Daily ET ET Standard Deviation Cumulative Evapotranspiration (mm) 0 200 400 600 800 1000 Cumulative ET
- 30. 5/10/2023 Watershed Hydrology Lab. Fall 2006 30 Calendar Days 0 30 60 90 120 150 180 210 240 270 300 330 360 Std. Dev. (mm) 0 1 2 3 4 0 1 2 3 4 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Daily Drainage (mm) 0 5 10 15 20 25 30 35 40 45 Cumulative drainage (mm) 0 150 300 450 600 750 900 Cumulative drainage Daily drainage Standard Deviation
- 31. 5/10/2023 Watershed Hydrology Lab. Fall 2006 31 Days of the Month (April 1996) 27.0 27.5 28.0 28.5 29.0 Hourly ET (mm) 0.0 0.1 0.2 0.3 0.4 0.5 0.6 1.8 m2 wetting area 16.3 m2 wetting area 7.3 m2 wetting area
- 32. 5/10/2023 Watershed Hydrology Lab. Fall 2006 32 Days of the Month (April 1996) 27.0 27.2 27.4 27.6 27.8 28.0 28.2 28.4 28.6 28.8 29.0 Cumulative Daily ET (mm) 0 1 2 3 4 5 6 1.8 m2 wetting area 16.3 m2 Wetting area 7.3 m2 Wetting area
- 33. 5/10/2023 Watershed Hydrology Lab. Fall 2006 33 Rain/Irrig. (mm) 0 5 10 15 20 25 Drainage (mm) 0 1 2 3 4 5 6 Month Date Daily ET (mm) 0 1 2 3 4 5 C B A Drainage Below the Rootzone Daily Evapotranspiration Irrigation or Rainfall March 30 April 9 April 19
- 34. 5/10/2023 Watershed Hydrology Lab. Fall 2006 34 Daily Potential Evapotranspiration (mm) 1 2 3 4 5 6 Daily Evapotranspiration (mm) 1 2 3 4 5 6 r2 = 0.88 Y = 0.724 X
- 35. 5/10/2023 Watershed Hydrology Lab. Fall 2006 35 Effects of Vegetative Cover
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- 40. 5/10/2023 Watershed Hydrology Lab. Fall 2006 40 ET / Potential ET
- 41. 5/10/2023 Watershed Hydrology Lab. Fall 2006 41 Water Content for a Candler Fine Sand (top 10 cm) Time (hours) 0 5 10 15 20 25 Water Content (%) 6 7 8 9 11 12 13 14 16 17 18 19 21 22 23 24 26 27 28 29 31 32 33 34 5 10 15 20 25 30 35 6 7 8 9 11 12 13 14 16 17 18 19 21 22 23 24 26 27 28 29 31 32 33 34 5 10 15 20 25 30 35
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- 43. 5/10/2023 Watershed Hydrology Lab. Fall 2006 43 Available Water Content
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- 45. 5/10/2023 Watershed Hydrology Lab. Fall 2006 45 Available Soil Water
- 46. 5/10/2023 Watershed Hydrology Lab. Fall 2006 46 ET & Available Soil Water
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