Snow CrystalSNOW HYDROLOGY (GEOG 4321/5321): HOMEWORK ASSIGNMENT 3

Instuctor: Mark Williams
Telephone: 492-8830


TA: Qinghuan Zhang
Email: qinghuan.zhang@colorado.edu


Homework 3

  • Assigned February 3.

  • This assignment will be due Monday, February 8, to be turned into Qinghuan's mailbox in Guggenheim by 5pm.

  • Late assignments will be penalized 5% per day. No work will be accepted after 2pm on Wednesday

  • 40 possible points.

  • Please box all your quantitative answers.

  • Please show all your work! Answers without work will only receive partial credit.

  • For the snowpit that you worked on, make separate graphs of snow density, snow temperature, and hardness. Extra Credit (5 points). Explain in one paragraph how your density, temperature, and hardness profiles differ and explain the difference.
    1. Mountain snowpacks are best characterized by digging snowpits in order to measure changes in physical properties of the snowpack (temp, density, stratigraphy...) with depth. For the next two questions, you will compare data collected from pits 006 and T3E on 14 March 1995. Pit 006 is a snow pit at a natural site on the saddle of Niwot Ridge. Pit T3E is behind a snowfence, only 50 m from pit 006. The snowfence is part of a long-term experiment to look at the effects of increased snow deposition on the biology and chemistry of an alpine tundra ecosystem. Please show all of the work for your answers. To find the data, go to http://niwot.colorado.edu/, under Data select Data, then type Green Lakes Valley snow cover profiles: Data Download.
    2. For the same snowpits (006 and T3E on 14 March 1995), graph a temperature profile and graph a density profile. The x-axis is either temperature or density, increasing from left to right. The y-axis is snow depth in meters, with 0 (the soil) at the bottom of the y-axis and the top of the y-axis is the top of the snowpack. Density is the column "measured weight"; units are grams/1000ml, which is the same as kg/m3. Temperature is the column "measured temperature".
    3. Wind during snow events generally causes precipitation gauges to undercollect the "true" snowfall amount. The Niwot Ridge saddle area during the winter months is characterized by average wind speeds of about 10-13 m/s. Further up Niwot Ridge, the D1 meteorological site has much lower wind speeds. Compare the annual precipitation amounts from Sdl and D1 to see if they do in fact collect significantly different amounts of annual precipitation.
    4. Year    Saddle  D1
      (year)  (mm)    (mm)
      ----    ----    ----
      1986    1117    0908
      1987    1790    1271
      1988    1497    1055
      1989    1827    1074
      1990    1877    1037
      1991    1269    1213
      1992    1985    1502
      1993    1544    1159
      1994    2683    1568
      1995    2955    1231

    5. Following is a small data set on wind speed and catch ratio of snowfall from Niwot Ridge. Graph wind speed (x axis) versus catch ratio on the y-axis. Explain these results in 5 sentences or less.
    6. Wind    Catch
      Speed   Ratio
      (m/s)   (fraction)
      ----    ----
      1.6     1.00
      1.75    0.91
      2.5     0.59
      2.7     0.58
      8.2     1.23
    7. The precipitation amount measured by a precipitation gauge can be adjusted for blowing snow using the following equations:
    8.         Pa = K * Pg
                      Pa = adjusted precipitation
                      Pg = gauge-measured precipitation
                       K = 1/CR, adjustment factor for wind-induced error
                      CR = catch ratio of the gauge
                      CR = alter shield and snow = exp (0.0055-0.133Ws)
                      CR = no shield and snow = exp (-0.251-0.176Ws)
                      Ws = Wind speed (m/s) at gauge opening 
                      CR = HAS NO UNITS, SINCE WE ARE CALCULATING A RATIO
                      note: exp(x) = ex