Laserfiche WebLink
<br />u u+Lc <br />- 3) qr - qo s S a At hdx - hLU + S dt Hdx - Ho Lu+LC) <br />Y <br />0 Lu <br />where: <br />qr Sa the regional flu:, L2/t; <br />qo 1n the flux into the pit, L2/t, <br />b is the confined aquifer thiekneaa, L; and <br />Ho is the pressure head above the confining unit in the undi sturbad :one. <br />Substituting for h, Lu, H, and Le and earryi ng out the {ntegrati on resui is in the <br />following equation: <br />4) d E <br />qr -9°"-Ot <br />90 <br />where: <br />5) E _ /SyaTb2 + S Q2 + STHOhI <br />[` 6 2 2 J <br />Taking the differenii al of the right-hand aT tla of nquati on 4 and rearranging, reauits in <br />• the following equaticn: <br />6) dt = -E dq <br />3 2 ° <br />q° 4rq° <br />Integrating hoth aides of equation 6 maul to in the following: <br />7) Ct o(t) -E <br />J\ dt w ~ q3 - 9 q2 dqo <br />o qo(g) ~ ~ o r o <br />8) e~-E 1 + 121n <br />qr q o q r q° <br />Cq°-qr/~ <br />7hs tote? flux of water into the open pit as a funetfon of tine is represented by the q <br />0 <br />tern in equation 8. Therefore, the flux of water as a fuMti on of tine can ba detemined <br />by eotvi ng for the roots of equation e. The program nunertcally solves for the roots <br />through the use of a Newton-S iteration method, <br />Tha total volume of tl ow into the pit is determined by Integrating tho flux as a function <br />17-7 Revised 04/11/86 <br />CI <br />REVISED MARCH 2006 Attachment 2.05.6(3}2-14 <br />