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Evaluation of Natural Attenuation_ 7500 West Eleventh Street, Tracy, C4. Page 44 <br /> distribution of monitoring wells within the well array as site characterization work is <br /> extended over greater ares around the release site. Accordingly, it is necessary to perform <br /> Mann-Kendall statistical analysis of the trend of the zeroth moment with time and to <br /> evaluate the statistical confidence with which the trend can be determined. Appendix A <br /> includes the results of the zeroth moment analyses for each of the BTEX compounds and <br /> MTBE (in the MAROS software, the alternate name, tert-butyl ethyl ether, is used for <br /> MTBE) for the 7500 West Eleventh Street site. <br /> -+ For each of the BTEX compounds, the Mann-Kendall statistics show that the zeroth <br /> moment trends are all declining and the trends have very high statistical confidence - in <br /> no case less than 98%. This is strong evidence that the primary plume at the site is stable <br /> and that the mass the mass of contaminants within the groundwater is decreasing. It is <br /> recognized that the zeroth moment analysis data for MTBE is classified as having "no <br /> trend" due to the low statistical confidence (56.4%) of the Mann-Kendall trend line; <br /> however, this is of little practical concern because of the concentrations of MTBE in the <br /> J plume are all at trace levels and the inability to compute a reliable trend in the data is <br /> related to the frequent reoccurrence of undetectable concentrations intermixed with very <br /> low positive detections of that analyte in the few wells where it has been, at any time, <br /> detected. <br /> Note: The MAROS software is also capable of computing first and <br /> second moment trends from the geochemical data, but, due to the <br /> sensitivity of such computations to changes with time in the number of <br /> :-. •.� wells in a monitoring array and the affect of the remediation by removal <br /> of contaminated groundwater from the source area that was conducted in <br /> 1998 on the distribution of concentrations of analytes of concern with <br /> distance down-gradient along the axis of the plume, such statistics are <br /> not useful for the purpose of evaluating the plume at the Navarra Site. <br /> 8.2.2.3 Well Redundancy Analysis <br /> The MAROS software can examine the statistical time history of contaminant <br /> ;_ concentrations in individual wells together with the contaminant mass distribution history <br /> of a plume to evaluate whether any of the wells in the well field can be eliminated <br /> without significantly degrading the statistical quality of the monitoring program. Details <br /> of the statistical procedures that the protocol applies for this purpose are presented in the <br /> software User's Guide (United States Air Force 2004). The methodology was developed <br /> based on Delaunay triangulation, which is the triangulation of a point set that has the <br /> property that no point in the set falls within the interior of the circumcircle of any triangle <br /> in a triangulation. (Okabe et al 1992, Watson 1994). Delaunay triangles are formed by <br /> lines joining all well locations in the well array. Spatial analyses are then made to <br /> 1 determine the relative importance of each well. The relative importance of a well is <br /> measured by its slope factor. The slope factor of a well location is defined as the <br /> - standardized difference between the logarithmic scales of its measured analyte <br /> concentrations and the estimated concentrations at the well locations if the well had not <br /> been present and concentrations at that point had been estimated from concentrations in <br /> sic <br />