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ASLESON, NESTINGEN, GULLIVER, HOZALSKI, AND N IEEER <br />University of Minnesota -St. Paul Campu <br />Inlet <br />Inlet <br />• <br />O <br />• ° O <br />i <br />i <br />• O o • <br />• O <br />f� <br />Hydraulic Conductivity <br />[cmis] <br />• <br />0.0000006 - 0.0006 <br />0.0006- 0.0012 <br />O <br />0.0012 - 0.0024 <br />0.0024 - 0.0048 <br />• <br />0.0048 - 0.0096 <br />• <br />0.0096 - 0.016 <br />FIGURE 7. Map Showing the Range of Ksat Values <br />Measured Using the MPD Infiltrometer at Various Locations <br />Within the UM — St. Paul (6) Rain Garden. <br />1994; Tsegaye and Hill, 1998; Jang and Liu, 2004; <br />Regalado and Munoz - Carpena, 2004). <br />Given the distributions of Ksat, shown in Table 3 <br />and Figure 8, we can now determine the number of <br />measurements required to accurately estimate the <br />true mean of the Ksat. This will provide guidance on <br />selecting the appropriate number of measurements to <br />conduct other experiments or Level 2 assessments. <br />Equation (3) can be used to compute the estimated <br />number of measurements (1) required to be within <br />specified range of the mean (C.L — µ), where z is the <br />tabulated za/2 value for the desired confidence level of <br />estimation (Klute, 1986). <br />N _ ( SD x z Z <br />/ I 3 <br />CI — µ <br />The number of measurements (1) that would be <br />necessary to obtain a mean Ksat value within selected <br />levels of tolerance (i.e., maximum acceptable differ- <br />ence between the true and computed mean values) <br />was calculated for each rain garden assuming a 95% <br />confidence interval. The results of these calculations <br />along with the actual number of measurements made <br />(1) for each rain garden are shown in Table 4. <br />Synthetic Drawdown Tests <br />Three of the sites were evaluated using synthetic <br />drawdown testing (i.e., Level 3). Selection of these <br />sites was based on the size of the rain garden and <br />availability of a water supply. The rain gardens <br />selected for synthetic drawdown testing were Cottage <br />Grove (7), RWMWD #5 (5), and the UM — St. Paul (6) <br />campus. A fire hydrant was used to fill both the <br />RWMWD #5 (5) and UM — St. Paul (6) rain gardens. <br />The Cottage Grove (7) rain garden required the use <br />of a water truck because there was no fire hydrant <br />nearby. The combination of limited volume of water, <br />relatively low delivery flow and high infiltration rate <br />of the soil only allowed the site to be filled to 28% of <br />its estimated maximum capacity. The RWMWD #5 <br />(5) rain garden was filled to 72% of the maximum <br />capacity to prevent overflowing the basin. The UM — <br />St. Paul (6) rain garden was the only site filled to <br />capacity during the synthetic drawdown test. This <br />site had an overflow weir connected to a second rain <br />garden. The rain garden was filled until water began <br />to overflow into the next rain garden and measure- <br />ments began when overflow ceased. <br />The measured drainage times of the three rain <br />gardens are plotted in Figure 9. The Cottage Grove <br />(7), RWMWD #5 (5), and UM — St. Paul (6) rain gar- <br />dens drained in 0.14, 3.13, and 2.14 h respectively. <br />All three rain gardens drained well before the desired <br />maximum 48 -b. drainage period, which indicated that <br />the rain gardens were infiltrating water. <br />The infiltration rate tests were also used to esti- <br />mate the drain time based on the same initial volume <br />used for each synthetic drawdown test. The appropri- <br />ate Ksat value to estimate drainage time, if the piezo- <br />metric head difference is assumed to be equal and <br />the low Ksat values are spaced uniformly throughout <br />the basin, may be determined by conceptually placing <br />two media of differing Ksat next to each other with <br />one piezometric head applied. An application of <br />Darcy's law to the flow through these two media <br />results in an overall flow that is dependent upon the <br />arithmetic mean of the two Ksat values. The drain <br />time is thus proportional to the inverse of the arith- <br />metic mean of the Ksat values. The drain times com- <br />puted using the arithmetic mean Ksat values for all <br />three rain gardens, however, were lower than the cor- <br />responding synthetic drawdown test drain times (Fig- <br />ure 9). It is believed that the location of the higher <br />Ksat values around the perimeter of the basins influ- <br />enced the spatially averaged, arithmetic mean to a <br />JAWRA 1028 JOURNAL OF THE AMERICAN WATER RESOURCES ASSOCIATION <br />