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Outline. Announcements Soil Thermal Regime Evaporation. Soil Physics 2010. Announcements. Review sessions this week: Today, 11-1 in G217 Wednesday, 11-1, 1581 No quiz today!. Soil Physics 2010. Homework 6, question 3a.

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Presentation Transcript
slide1

Outline

  • Announcements
  • Soil Thermal Regime
  • Evaporation

Soil Physics 2010

slide2

Announcements

  • Review sessions this week:
    • Today, 11-1 in G217
    • Wednesday, 11-1, 1581
  • No quiz today!

Soil Physics 2010

slide3

Homework 6, question 3a

You are monitoring soil temperature, wetness, and CO2 concentrations, and want to calculate the CO2 efflux. A spreadsheet of your data (SP_HW6_gasdiff.xls) is available on the course website. Plot the calculated (a) CO2 diffusivity as a function of depth and time. (see pdf online for more details)

Soil Physics 2010

slide4

Homework 6, question 3b

Plot the calculated (b) CO2 efflux (diffusion across the soil surface) as a function of time for the period given. State your assumptions.

What is D(q,T) for

?

How do you average diffusivity (or conductivity)?

Conductors in series use a harmonic mean (in parallel, they use the arithmetic mean)

Soil Physics 2010

slide5

Homework 6, question 3b

Plot the calculated (b) CO2 efflux (diffusion across the soil surface) as a function of time for the period given. State your assumptions.

parallel: arithmetic mean

=average(1,2,3…) in excel

y-axis units are ppm / cm2 s

series: harmonic mean

=harmean(1,2,3…) in excel

Soil Physics 2010

slide6

Back to the soil thermal regime

Ta= Average Temperature

A0 = amplitude of temperature at the surface

w = 2p / period (say, 24 hours): normalizes the “clock time” t to the 2p sine wave period.

d = “damping depth”: depth z at which thermal amplitude is A0/e:normalizes “physical depth” z to exponential function depth. Specifically,

Soil Physics 2010

slide7

The sine part

This is about the soil surface warming during the day, and cooling at night.

Soil Physics 2010

slide8

More sine stuff

Clock time at the surface, normalized to 2p

Phase shift with depth

Phase constant: adjust so peak is at the right time of day

3:00 pm

6:00 am

midnight

noon

midnight

For a period of 24 hours, and a peak at the surface at 3:00 pm (the 13th hour),

Soil Physics 2010

slide9

The e-z part

exponential decay, half-lives, etc.

Soil Physics 2010

slide10

Summary

  • Thermal properties (specifically DT) appear only in the definition of damping depth:
  • Phase shifts (delays) as sine wave propagates downward
  • Amplitude decreases as the wave propagates downward
  • Temperature is constant at infinite depth

Soil Physics 2010

slide11

Applications

  • The questions we ask this equation are usually about either
    • timing and phase shift, or
    • amplitude
  • but not both.
  • When it’s a timing question, focus on the sin() part
  • When it’s about amplitude, concentrate on the e-z/d part

Soil Physics 2010

slide12

Example application

On the coldest day of the year, at what depth is the warmest soil found?

Translation: what depth z is ½ cycle (i.e., p) later than the surface?

½ cycle delay requires that ,

where and ,

so

Soil Physics 2010

slide13

Example application

Around June 20, the soil surface temperature may have an amplitude of 15 °C in one day. At what depth is the amplitude only 2.5 °C in one day?

This is an amplitude problem, so we are only concerned with the e-z/d part.

Soil Physics 2010

slide14

Evaporation

Soil wets: Infiltration

Soil dries: Drainage

Transpiration

Evaporation – John?

Soil Physics 2010