Stability of Supported Vertical Cuts in Granular Matters in Presence of the Seepage Flow by a Semi-Analytical Approach

Abstract

Abstract. Vertical cuts are prone to several types of failure such as piping, ground heaving, and deep-seated or base failure. The latter is the subject of this study and probably attracts less attention in comparison to other types of failure. Although it is commonly believed that such a failure is rare in normal conditions; in presence of the seepage ow, deep-seated failure is much likely to initiate and advance prior to other types of failure. In this paper, the stability analysis of vertical cuts in granular soils in presence of the seepage ow is studied against the deep failure. To do so, the stability analysis is made by the use of the well-known method of stress characteristics with inclusion of the seepage ow force. This nonuniform ow eld renders the stability analysis quite complex. A semi-analytical approach, based on complex algebra, is presented to nd the ow eld, which is accurate and much faster for calculation of the seepage force at arbitrary points in the eld. The solution of the ow eld is a background solution for the stress eld which is to be found to assess the stability.

Assessment of the Bearing Capacity of Foundations on Rock Masses Subjected to Seismic and Seepage Loads

“…In the example studied, a seepage case was studied, where k v = 0, i o2 = 0 • , m o = 15, UCS = 100 MPa, GSI = 65, α = 0 • and B = 2.25 m were adopted (which did not influence the result because of the assumption of a weightless rock mass). In addition, with i o2 = 0 • , i 2 = arctan(i a ) (see (12)). Table 4 shows the results obtained numerically (P hFDM ) and analytically (P hS&O ) (first chart proposed Figure 7) considering different values of i a .…”

“…Applying a similar approach, in recent years, studies have been published where the pore pressure has been included as an external force, analyzing the slope stability in soil [12] and rock [13], and affecting the bearing capacity of the shallow foundation on soil [14][15][16] and in jointed rock mass [17]. In foundations with large widths such as dams, the seepage tends to present an almost horizontal flow in the influence area of the foundation, as has been possible to verify in real cases [18].…”

Influence of the groundwater level on the bearing capacity of shallow foundations on the rock mass

“…Recent studies focused on seepage, by applying the pseudostatic approach where the pore pressure was included as external forces in the system. Various analyses include the stability of slopes in soils (Veiskarami and Fadaie 2017); rocks (Saada et al 2012); the bearing capacity of rock (Galindo et al 2020); soil (Veiskarami and Kumar 2012;Kumar and Chakraborty 2013;Veiskarami and Habibagahi 2013); and joined rock mass (Imani et al 2012).…”