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weakly cemented sandstones and conglomerates, with no clearly defined structure or discontinuities, we <br />considered the deposits a heterogeneous and isomorphic rock mass. In addition, we assumed the exposed <br />rock slopes represented the most weathered and weakest conditions for the rock mass. <br />GEOMECHANICAL ROCK MASS CLASSIFICATIONS <br />Our team classified the rock mass of the slopes using Bieniawski's (1989) Rock Mass Rating <br />(RMR) and Hoek and Brown (1997) Geologic Strength Index (GSI). This approach by Hoek and others <br />has been modified and improved over the last 10 years (Marinos and Hoek, 2001; Hoek and others, 2002; <br />RocLab, 2012). <br />In general, because the rock mass is amorphous with no clear structure, it was difficult to establish <br />an accurate RMR and subsequent GSI. We estimated a GSI of about 40; however, after review of Hoek <br />and Brown's charts for GSI, we downgraded the value to about 35; which seemed more appropriate. The <br />intact strength of the rock matrix ranged between 145 to 725 psi with a mean strength of about 483 psi. In <br />addition, since the matrix of the conglomerate consisted of a weakly cemented sandstone, we selected a <br />Hoek -Brown intact rock materials index of 17 for sandstone (conglomerate is 21 and not appropriate for <br />this material; RocLab, 2012). The stability of the slope was very sensitive to the intact rock strength. To <br />evaluate and select conservative strength data for the design, we used the "Three -Sigma Rule" described <br />by Duncan (2000). This rule is based on the fact that 99.73% of all values of a normally distributed <br />parameter fall within approximately three standard deviations of the mean value. Therefore, if HCV <br />equals the highest conceivable value of the parameter, and LCV equals the lowest conceivable value of <br />the parameter, these are approximately three standard deviations above and below the average value. One <br />may elect to choose a value that is one to three standard deviations below the mean value to be <br />conservative or in situations where there is limited data available. Therefore, for these slopes we <br />estimated the strength as follows: <br />HCV = 725 psi, LCV = 145 psi. <br />Standard Deviation = a = (725 - 145)/6 = 97 psi, 3a = 290 psi <br />Mean = 483 psi <br />Mean - 3a = 483 psi — 290 psi = 193 psi. <br />Therefore, intact rock strength of 193 psi was used to model the global stability of the cut slopes. This <br />rock strength is probably conservative with respect to short term stability because it does not reflect the <br />less weathered condition of the rock on the interior of the slope. However, we assumed that it was <br />representative of the long term strength of the rock mass further into the slope if the rock mass is allowed <br />to continue to degrade over time. <br />MOHR- COULOMB SHEAR STRENGTH BY BACK ANALYSIS <br />We estimated the Mohr- Coulomb shear strength of the rock mass exposed in the cut slopes using <br />back analysis. The geologic conditions of a rock mass at both cut slopes demonstrated there were no <br />apparent distinct discontinuity surfaces on which sliding might take place during failure. The sliding <br />surface in these rock masses will be along both natural discontinuity surfaces (indistinct bedding, joints or <br />faults) together with shear through the intact rock or the matrix that holds the rock mass together. Two <br />empirical methods have been established to establish the Mohr- Coulomb shear strengths; back analysis <br />and general Hoek -Brown criterion. According to Wyllie and Mah (2004), the most reliable method to <br />establish the strength of the rock mass is to back analyze a failed or failing slope. Only one strength <br />parameter can be calculated in a back analysis. Typically, one would select a reasonable friction angle for <br />the rock mass based on testing or the literature. The engineer would then employ a computer program <br />