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<br />J <br />• <br />Job #: 68838.64986.03.3.14 Calc By: N. Anton; M. Nelson <br />Client: Denison Mines CHK By: G. Hazen Date: 1/27/2009 <br />Project: Hydrogeology Report Date: 2/3/2009 Calc #: 1 <br />Detail: Water Balance Estimation of Percolation <br />PETcalculation results for all months according to a water year is shown below in Table A: <br />8560. The <br />water balance calculation was completed using precipitation data for two cases: 1) using the <br />average monthly precipitation for the period of record (1962 through 2007); and 2) the total <br />monthly precipitation for the wettest water year on record (1997). <br />AA Runoff Calculation <br />Runoff was assumed to be 10 percent of the precipitation (Guyman 1994). <br />B. Water Balance Model Calculations <br />For the purposes of performing the water balance calculation, Equation 2 can be simplified <br />further. The water balance is started for the first month of the water year (October), where <br />percolation (Po) is assumed to be zero. Equation 2 then simplifies to the following: <br />Sm = Pi- R.- ET Equation 3 <br />In addition, ET is replaced by the actual amount of evapotranspiration that takes place every <br />month, or AET, and the relationship of Pi - R. is replaced by a new term called infiltration (10). to <br />is the amount of moisture from precipitation that infiltrates into the soil. Equation 3 then <br />simplifies to the following: <br />Sm= Io- AET Equation 4 <br />Since AET is defined as the actual amount of evapotranspiration that occurs, its value is <br />dependent on the actual amount of available moisture in the soil column for each month to <br />evaporate. For any given month, the actual amount of available moisture (MA) is represented as <br />the sum of infiltration for the current month and storage from the previous month (where "1" <br />represents current month and "0" represents previous month): <br />MAl = Iol + Smo Equation 5 <br />Calculation of MA represents a metric to determine if moisture will be stored in the soil or lost <br />from the soil by evaporation. If the MA is greater than the PET (maximum amount that can <br />evaporate), then AET actually equals PET. The current monthly Sm is then calculated according <br />to Equation 4, and the total accumulated Sm is the summation of the current monthly Sm and the <br />MathCAD V14 <br />N:\64986-Denison Mines\Task Order 3 - DMO <br />Tabl e A - PET Calculat ions <br />Va <br />r. Oct Nov Dec Jan Feb Mar Apr May Jun Jul Aug Sep <br />Ph 7.75 6.72 .52 <br />6 .76 <br />6 6.72 8.33 8 <br />.95 10 <br />.02 10 <br />.08 10.22 9.54 8.39 <br />Tf 54.23 40.73 30.61 28.97 36.09 43.94 51.66 61.55 70.93 77.50 75.24 66.00 <br />F 4.20 2.74 2.00 1.96 2.42 3.66 4.62 6.17 7.15 7.92 7.18 .54 <br />5 <br />PET 3.36 2.19 1.60 1.57 1.94 2.93 3.70 4.93 5.72 6.34 5 .74 4.43 <br />PETS 3.36 2.19 0.48 0.47 1.94 2.93 3.70 4.93 5.72 6.34 5.74 4.43 <br />ations <br />Calculations <br />Precipitation <br />A.3 <br />ID <br />weather <br />station <br />NOAA <br />ravan <br />, <br />CO <br />d f <br />from the <br />U <br />collected <br />ecte <br />Precipitation d <br />data <br />was <br />Saved 2/17/20095:15 PM <br />Page 5