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_ u Lu+Lc <br /> 3) qr qo = Sya dt hdx - K + S dt Hdx - H0(Lu+Lc) <br /> 0 Lu <br /> where: <br /> q is the regional flux, L2/t; <br /> r <br /> q is the flux into the pit, L2/t; <br /> 0 <br /> b is the confined aquifer thickness, L; and <br /> H is the pressure head above the confining unit in the undisturbed zone. <br /> 0 <br /> Substituting for h, Lu, H, and Lc and carrying out the integration results in the <br /> following equation: <br /> 4) dt <br /> E <br /> gr q0 = <br /> go <br /> where: <br /> 5) (SyaTb2 + STH02 + STHob <br /> E _ \ 6 2 2 <br /> Taking the differential of the right-hand side of equation 4 and rearranging, results in <br /> the following equation: <br /> 6) dt = -E dq0 <br /> 3 2 <br /> qo grg0 <br /> Integrating both sides of equation 6 results in the following: <br /> 7) t qo(t) -E <br /> dt = 3 2 dq0 <br /> q - q q <br /> 0 q0(0) _�o r o <br /> go qr <br /> 8) t = - E + '2ln[�_' <br /> r q 0 q qo <br /> r <br /> The total flux of water into the open pit as a function of time is represented by the q <br /> 0 <br /> term in equation 8. Therefore, the flux of water as a function of time can be determined <br /> by solving for the roots of equation 8. The program numerically solves for the roots <br /> through the use of a Newton-S iteration method. <br /> The total volume of flow into the pit is determined by integrating the flux as a function <br /> 17-7 Revised 04/11/88 <br />