The number of reinforcements was determined by analyzing the stability of the embankment, while considering the safety factor and the resisting moment of the embankment.
The total number of geotextile reinforcement required is highly dependent on the value of delta moment resistance which is the difference between the resisting moment to the driving moment.
where [M.sub.R] is the resisting moment, which is related with the shear resistance on the slip surface; [M.sub.s] is the slip moment, which is related with the shear stress on the slip surface; and [l.sub.i] is the vertical distance from the center of a spherical or ellipsoid to the surface of each element.
The slip moment and resisting moment are 187.9 kN*m and 401.2 kN*m, respectively, the corresponding safety factor is 2.135.
The slip moment and resisting moment are 189.1 kN*m and 414.6 kN*m, respectively; the corresponding safety factor is 2.193.
The simulated results indicate that, for the spherical slip surface, the slip moment and resisting moment are 187.9 kN x m and 401.2 kN x m, respectively, and the corresponding safety factor is 2.135, which is close to the value of the previous three different methods considered [8, 17, 22].
In the conveying process of cuttings, the forces of [F.sub.l], [F.sub.u], and [F.sub.d] acting on auger will produce the resisting moments
which can be, respectively, expressed as [F.sub.l][r.sub.2] cos [alpha], [F.sub.u]r sin([delta] - [alpha]), and [F.sub.d]r sin([delta] + [alpha]).