A Modified Newmark Method for Calculating Permanent Displacement of Seismic Slope considering Dynamic Critical Acceleration

Table 1

Calculation results of the permanent displacement for seismic time-history curves 1, 2, and 3.

Curve	Cohesion standard deviation (kPa)	Average permanent displacement (m)	Permanent displacement standard deviation (m)	Logarithm of cohesion standard deviation	Average permanent displacement (m)	Permanent displacement standard deviation (m)
Curve  1	10	0.06902	0.00019	0.05	0.06859	0.000049
	16	0.06522	0.002016	0.1	0.06876	0.000113
	20	0.05387	0.003599	0.2	0.04444	0.003848
	25	0.03878	0.002127	0.3	0.02115	0.001312
	35	0.02133	0.001257	0.4	0.01077	0.001049
Curve 2	16	0.05998	0.001347	0.1	0.06369	0.000333
	20	0.04958	0.003669	0.2	0.03909	0.003272
	25	0.03327	0.003259	0.3	0.01689	0.000939
	30	0.02271	0.00167	0.4	0.01041	0.000766
	35	0.01721	0.001088	0.6	0.00115	0.000483
Curve 3	9	0.01962	0.00139	0.05	0.0203	1.054  ×  10^−17
	14	0.0115	0.001859	0.1	0.01925	0.001625
	16	0.00721	0.001716	0.15	0.0076	0.001856
	20	0.00214	0.000543	0.2	0.00162	0.000309
	22	0.00135	0.000232	0.25	0.00081	0.000041