水力发电学报
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JOURNAL OF HYDROELECTRIC ENGINEERING ›› 2016, Vol. 35 ›› Issue (3): 28-35.doi: 10.11660/slfdxb.20160304

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Analysis on envelopes for potential slip surfaces of slopes

  

  • Online:2016-03-25 Published:2016-03-25

Abstract: Envelope of potential slip surfaces of a slope at certain safety factors can be obtained by drawing the contours of the factors. For a given point in the computational domain of a slope, limit equilibrium method can be used to calculate the minimum safety factor among the potential slip surfaces passing this point. Then, safety factor contours, which show the spatial patterns of safety factors, are easily achieved after the minimum safety factors of all the LEM nodes have been calculated. This approach can be extended to calculation of those envelopes of potential slip surfaces at certain acceleration and inertial force. This paper presents the contours of safety factors, accelerations, and inertial forces calculated for a simple slope and two-step slopes with different bench widths. The results reveal that for the two-step slopes, the contours of safety factors and accelerations are similar to those of simple slopes if bench width is small, while their critical slip surfaces at the minimum safety factor and maximum acceleration tend to go through the steps of the slope if bench width is large. In contrast, the contours of inertial forces are less affected by the bench width of slopes.

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