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<br />SANTA MARIA DAM - 2 - July 11, 2013 <br />INUNDATION MAPPING REPORT <br />close to the normal storage listed in the state’s records. The datums were matched up using the <br />spillway crest elevation as a reference. A summary of the elevation data is shown in Table 1. <br /> <br /> <br />Table 1. Santa Maria Reservoir Dam Failure <br />Summary of Elevation Data <br />Description <br />1911 & 1990 <br />Plans (feet, <br />unknown <br />datum) <br />Capacity Table <br />(feet, gage <br />height) <br />Dam Crest 9490 101 <br />Emergency Spillway Crest 9482 93 <br />Approx. Natural Ground under Embankment 9400 11 <br /> <br /> <br />The elevations cited in the remainder of this memo are in reference to the gage height. <br /> <br />The approximate surface area of Santa Maria Reservoir was estimated for each gage height from the <br />capacity table. At the spillway crest elevation (gage height 93) the surface area was estimated as <br />621 acres. This was very close to the reservoir pool surface area which was measured from a USGS <br />quad map in ArcMap (617 acres), therefore validating the assumption that gage height 93 was a <br />reasonable estimate of the spillway crest elevation. An elevation-area-capacity curve based on the <br />capacity table is provided in Appendix B.1 <br /> <br />The modeled breach location for a clear day failure was assumed to be a piping failure of the main <br />dam down to natural ground below the embankment (gage height 11 feet). A clear day failure of <br />the outlet tunnel below the auxiliary dam would not cause as large of a peak outflow because the <br />majority of the tunnel is excavated in rock and the natural ground interface below the centerline of <br />this embankment is approximately gage height 81 feet. <br /> <br />Two empirical methods for predicting the average breach width and failure time were compared. <br />The methods, which are included as spreadsheets in Appendix C are the Froehlich (2008) equations <br />and the MacDonald & Langridge – Monopolis/Washington State (MLM-WA, 2007) equations <br />(collectively referred to as the “empirical equations”). The empirical equations predict the average <br />breach width and failure time as a function of depth of water, dam height, and volume of water <br />stored. The MLM-WA method also takes into consideration the estimated volume of embankment <br />eroded. <br /> <br />The Froehlich method resulted in predicted bottom and average breach widths of 230 and 293 feet, <br />respectively, and a breach formation time of 1.44 hours. However, based on the Typical Sections <br />sheet in the 1911 plan set, the canyon will constrain the breach to a bottom width of approximately <br />175 feet. The breach formation time of 1.44 hours remains unchanged because it is independent <br />from the breach width in the Froehlich method. <br /> <br />1 Discontinuities were identified in the elevation-area curve by D&A which showed drops in reservoir pool surface <br />areas corresponding to increases in gage height. D&A determined that this was likely due to error in the handwritten <br />capacity table, so D&A adjusted the storage values as shown in the capacity table in Appendix A.