The angle of earth-
slide
slope of Higashiyama Hill is investigated from the dynamic viewpoint: the earth-
slide
actually occurred in June, 1976. The
slide
surface (plane) of this earth-
slide
is located inside the weathered debris of gabbro (Fig. 1). The slope section indicates that this earth-
slide
belongs to the “slab-
slide
”. The average rate of the initial sliding is estimated at about 50 mm/day. Field observations performed in July to October, 1977, approximately one year after the event indicate that groundwater table continues to rise in approximately parallel with the
slide
surface following to the rainfall, hence the rate of
slide
-movement increases (Fig. 2).
Application of the Infinite Slope analysis would be reasonable for the present case. The equation given by Skempton and DeL.ory (1957, p. 309) was modified:
Fs=
c'+[(γ
1Z1+γ
2Z2+γ
3Z3)-
mγ
wZ]cos
2βtanφ'/(γ
1Z1+γ
2Z2+γ
3Z3)sinβcosβ
where γ and
Z denote respectively the saturated unit weight of the soil and the thickness of the soil, with suffixes 1, 2, and 3 indicating respectively volcanic ash soil, pumice, and earth-
slide
soil,
FS is the factor of safety, γ
w is the unit weight of the water, β is the slope angle,
c' and φ' are the cohesion and the angle of shearing resistance of earth-
slide
soils, respectively, and
m is the fraction of
Z such that
mZ is the vertical height of the ground-water table above the
slide
surface.
Drained direct shear tests were performed on the intact earth-
slide
soils using a 6-cm diameter shear box adapted for reversals. The tests were conducted under a strain control of 0.03_??_0.045 mm/min. Figure 3 shows the one example of stress-strain relations. The strength envelops in Fig. 4 give the following data:
c'p=0.169 kgf/cm
2, φ'
p=27.8° for peak strength, and
c'r=0.122 kgf/cm
2, φ'
r=10.6° for residual strength.
Substituting 1) these strength parameters and 2)
Z1=2.8 m,
Z2=0.5 m,
Z3=3.1 m,
Z=6.4 m, γ
1=1.74 gf/cm
3, γ
2=1.20 gf/cm
3, and γ
3=1.79 gf/cm
3 into equation (1), the relationships between
FS and β were obtained under various
m-values (
m=0, full drained;
m=1.0, water table to the slope surface) (Fig. 5). At the actual slopes, as shown in Fig. 2, the groundwater table fluctuated between the half depth of
slide
mass (
m=0.5) and the slope surface (
m=1.0).
The average angle of pre-
slide
slope is estimated to be about 13.9°. The factor of safety calculated using this slope angle and the peak strength and assuming
m=1.0 is 1.55 (Fig. 5). Thus, the pre-
slide
slope might be stable under this condition. On the other hand, at the critical stable under a condition that the
m-values fluctuate between 0.5 and 1.0, the calculated residual factor ranges from 0.72 to 1.01. This suggests that the soil strength had reduced nearly to the residual strength when the initial failure occurred.
The slope angle of one year after the initial
slide
is estimated at about 11.3°. The factor of safety calculated using this slope angle and the residual strength and assuming
m=0.5 to 1.0 lies in a range of 1.24_??_0.97 (Fig. 5).
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