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1'~f the regional gradient is zero (~i.e., q = 0), equation 7 reduces to the following: • <br />r <br />9 ) qqO°° ( U <br />\ dt = ( _ -E <br />3 dq o <br />0 qo(0) =pfz qo <br />and <br />10) q = (1/2E)ht K <br />0 <br />The total flow into the pit is calculated by analytically integrating equation 10 with <br />respect to time. <br />11) 0 = 2(1/2Et)X <br />went e, an analytical integration for equation 10 has eliminated ,the need to perform a <br />numerical integration, as was the case for equation 8. ~~ <br />Th <br />d <br />fi <br />i <br />i <br />f "E" i <br />i <br />5 i <br />f <br />h fin <br />fi <br />d/ <br />d <br />bi <br />d <br />f <br />e <br />e <br />n <br />on o <br />t n equat <br />on <br />s <br />or t <br />e an uncon <br />ne <br />con <br />e <br />com <br />ne <br />case o <br />aquifer system. In o rder to obtain solutions for the strictly unconfined and confined <br />cases, the definition of "E" (equation 5) has to be modified., For the case of an <br />unconfined aquifer, the ;second and third terms i n equation 5 are'set to zero and for a <br />confined aquifer, the first term in equation 5 is set to zero- Equations 8 and 11, which <br />are used to calculate the total flow into a pit, remain unchanged for all solutions. All <br />input data used in the Mcwhorter pit inflow model are presented in Attachment 17-2. <br />The definitions of terms used in pit inflow summary tables (Tables 17-2 through 17-5) are <br />as follows: ' <br />1. Total length of pit is the length in feet that the pit will be open until the next <br />cut is made and the previous cut is filled in. <br />2. Length in water (feet) is the same as the total length of the cuts for each year. <br />3. Time in water is the result of dividing the length in eater for a given year by the <br />pit advancement per day for the same year. This value represents the number of days <br />the pit will be open and subject to pit inflow each year. • <br />8 Revised 03/24/95 <br />