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<br />78 GROUNDWATER PUMPING TESTS <br />C = (sn/Qn - snjQn-l)/(Qn-, + Qn) <br /> <br />STEP DRAWDOWN TEST ANALYSIS 79 <br /> <br />where s" = increment of drawdown for pumping rate num- <br />ber n, in ft <br />Qn = increase in discharge for pumping rate number <br />n, in cfs <br />s = increment of drawdown for pumping rate num. <br />n-' <br />ber n-l, in ft <br />Qn-l = increase in discharge for pumping rate number <br />n-l, in cfs <br />n = pumping rate number (I, 2, or 3) <br /> <br />Table 4.1. Database for Example Problem 4.1 <br /> <br />Discharge Rate Drawdown <br />(gpm) (ft) <br /> <br />100 3.35 <br />151 5.14 <br />199 6.86 <br /> <br />C, ~d 2 = (S2/Q, - s,/Q,)/IQ, + Q,) (4.2) <br /> <br />output values of well loss coefficient for steps 1 and 2, 2 <br />and 3, 1 +2 and 3, and 2+3 and 1. In addition, the program <br />calculates the well loss for the specified discharge rate. <br />Well loss coefficients are calculated for steps 1 + 2 and .3 <br />and 2+3 and 1 because sometimes production wells are <br />unstable and clogging or development occurs between <br />discharge rate changes. When this happens, the value of <br />well loss coefficient calculated for steps 1 and 2 may be <br />much greater or less-than that calculated for steps 2 and 3. <br />Solution of Equation 4.3 may be impossible; however, the <br />well loss coefficient may be calculated with data for steps <br />1+2 and 3 or 2+3 and 1. <br /> <br />Increments of drawdown are determined by taking in <br />each case the difference between the observed water level <br />in the production well and the extrapolation of the preced- <br />ing water level curve (antecedent trend). Sn and Sn_' values <br />must be for the same time interval. <br />For steps 1 and 2: <br /> <br />For steps 2 and 3: <br />C2~d3 = (S3/Qa - S2/Q,)/(Q, + Qa) (4.3) <br /> <br />Example Problem <br /> <br />A step drawdown test was conducted with a production <br />well in stable condition in Example Problem 4.1. Measured <br />discharge rates and associated drawdowns for three steps <br />are presented in Table 4.1. Calculate the well loss <br />coefficient and well loss for the 151 gpm discharge rate <br />utilizing microcomputer program PTI0. <br />The average calculated value of well loss coefficient is 2.0 <br />sec2/ft5 and well loss at the 151 gpm discharge rate based on <br />Equation 4.1 is 0.23 ft. <br /> <br />Values ofC for pumping test production wells are gener. <br />ally less than 10 sec'/ft' and are often about 2.0 sec'/ft'. <br />Calculation of the well loss coefficient may be impractical <br />with discharge rates of a few gallons per minute or less. <br /> <br />Well Loss Microcomputer Program <br /> <br />Well loss coefficients and well loss may be calculated <br />with microcomputer program PTI0. The interactive input <br />section of the program prompts the user to enter three <br />values of discharge rate and associated changes in <br />drawdown and a value of discharge for which well loss is to <br />be calculated. The program generates and displays as <br />