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<br />of time. This is performed nuamrically in the Drogram Dy auhdivi ding each day into 100 <br />equal Cfma increments, calculating the flux at the fixed tiioa increments, and using <br />Simpson'a rule to Humeri ca3ly integrate the area under the Flux versus time curve. The <br />daily rate of flow into an open pit dacreasea to an exponent{ al rate. TM program <br />automatically reduces the number of time iMremants each day is subdi vidad Snto when the <br />change 1n daily flaw rates 15 lees than one percent. <br />If the rags anal .gradient is zero (S .e., qr ~ D), equation 7 reduces to the following: <br />9) Si q (t) <br />dG = ~ O -E <br />0 qo(O) moo qo 3 dqo <br />and <br />10) qo ~ (1 /2E)~t ~ <br />The total flow into the pit is calculated by anslytleally integrating equation 10 with <br />• respect to time. <br />77) 0 ~ 2(1 /2Et)~ <br />Hence, an analytical integration for equation 10 has eliminated the Head Co perform a <br />numerical integration, as was the ease for equation 8. <br />The definition of "E" to equation 5 is for the combined ease of an unconfined/confined <br />aquifer system. In order to obtain aol uti ons for the strictly uneonfinnd end confined <br />cases, the deftnS ti on of •'E" (equation S) has to be awdified. For the ease of an <br />uneonf toed aquifer, the second end third terms in equation 5 are set to zero and for a <br />confined aquifer, Che first tam in equal{ on 5 is set to zero. Equations 8 and 11, which <br />are used to calculate the total flan into a pit. raaain unchanged for all solutions. <br />The deSinitlons of tams used in pit inflow cslcul ati an tables (Tables 77-1 and 17-2) are <br />es follows: <br />]. Total }ength of Dit fs the length in fast that The pit will be open until the next <br />cui is made anO the previous cut is filled in. <br />t7-8 Reused O4/tt/eB <br />• <br />REVISED MARCH 2006 Attachment 2.05.6(3}-2-15 <br />