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infilling material, roughness, • <br />intact rock, and water q <br />conditions are among those that ~ ~ <br />may be considered. The larger / <br />the DSI, the greater the ~~ ~~ <br />possibility of failure along cwc_~u„ <br />that discontinuity given an <br />unfavorable geometry, as g "°°•`~" <br />explained later. Zn other ; <br />words, the DSI calculations <br />combine several important ~J <br />characteristics to create a -~ vu„e / <br />,, <br />single value useful for °~•^• »•••••M~^o <br />comparing the importance of """°' •~"~•• <br />discontinuities to one another. C <br />Figure 8 shows the general form '(/,1 <br />of Watts' DSI equation. The <br />complexity of the equation makes "'mac` `~~--~ <br />it impractical to calculate all <br />of the DSI values for large data D <br />sets by hand. Computers handle ~~~ <br />it easily however. The ~ ~•,' <br />derivation is treated in detail ~ \ <br />by Watts and West (1986) . ,ova„c ``/ • <br />Although based on limiting '11' <br />e q u i l i b r i u m t h e o r y, giqure 7. Types of rock slope <br />discontinuity significance is failures and stereoplots of pole <br />not meant to replace safety cluster orientations likely to <br />factor calculations. The produce them. (From Hoek and <br />indices provide a means of <br />quickly ranking discontinuities Bray, 1981.) <br />so that the more significant <br />ones may receive greater attention. The significance values are <br />intentionally independent of slope orientation, so that they may <br />be of use before slope alignment is selected. <br />DSI values may be plotted on either rectangular dip plots or on <br />stereonets. Data from Cedar Bluff, Virginia illustrate the DSI <br />concept. Figure 9 is a plot of the maximum calculated DSI values <br />occurring at each orientation on the plot. It is similar in <br />appearance to a population glot which shows the number of <br />discontinuities in the data set at each orientation. However, the <br />numbers here represent the highest DSI values at each orientation. <br />In terms of population, Cluster 3 would be deemed most important <br />as the field data show it to contain 35 discontinuities. Cluster <br />4 would be next in importance, containing 25, followed by Cluster <br />1, containing 16 discontinuities. However, failures involving the <br />discontinuities of Cluster 4 would require the shearing of <br />considerable intact rock, as the site investigation revealed those <br />joints to be short and poorly connected. Hence, Cluster 4 is not • <br />as significant to the stability of the slope as its population <br />might indicate. <br />Stereonet Analyses 8 ~ Appendi% A <br />/'~R ~y <br />APPRoveO 3/a~I~oy <br />