Civil Engineering Reference
In-Depth Information
Figure 6.22 Piezometric head distribution acting on a rock block located in a rock slope
The force resulting from the dynamic pressure component is denoted as the“seepage
force” {F S } and the force resulting from the hydrostatic pressure component is called
the “uplift force” or “hydrostatic uplift” {F U } (Wittke 1990):
{F S } =
γ w · {I} · V,
(6.79)
{F U } =
γ w · {e z } · V,
(6.80)
where V is the volume of the rock block and is the unit vector in the z direction,
which is oriented opposite to gravity (cf. Fig. 6.22). The direction of {F S } coincides with
the direction of the hydraulic gradient {I}, while {F U } is oriented opposite to gravity.
The three-dimensional hydrostatic uplift and seepage force acting on a rock mass block
bounded by six discontinuities of three discontinuity sets are illustrated in Fig. 6.24.
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