## 1 Introduction  
A slope's soil, separated by common type of geologic body and slope stability analysis, is very important to know regarding the safety of the slope. Rain and earthquakes are two major causes of landslides. Generally, it is necessary to monitor rainfall and earthquakes at the same time to assess the stability of the slope. Many useful and detailed analyses have already been published regarding landslides due to rainfall or earthquakes [1, 2, 3, 4]. Landsliding of artificial or natural soil slopes normally occurs during or after strong earthquakes. These landsliting events depend on earthquake loading and geological conditions. Compared to the damage caused by the earthquake itself, it has been observed that earthquake-induced landslides cause more damage to infrastructure. Dynamic slope stability analysis is broadly used to compute and analyze the seismic stability of manmade and natural slopes [5]. Pore-water pressure is increased after rainfall and hence lowers the active pressure and reduces the soil's shear strength [6]. Field and laboratory experiments were performed to study the rainfall-induced soil slope failures [7]. Another researcher examined laboratory, field tests and the study of specific, large and accessible data based on 49 different landslides caused by the worst rainfall events in northern Australia and gave an indication of possible earthquake-induced landslide sites in the future [7]. Numerous quantitative studies have been conducted to investigate infiltration issues [8; 9]. Some other researchers have also studied the limits on the stability analysis of the soil slope under rainfall [10]. In the case of landslides caused by earthquakes, the dynamic performance of slopes depends on factors such as slope geometry, magnitude, and seismic signals [11; 12; 13]. The earthquake-induced landslide susceptibility, earthquake-affected landslide spatial distribution and dynamic slope failure mechanisms have been studied [14; 15; 16; 17; 18]. The difference in dynamic response between the counter-bedding slope and bedding slope by using the shaking table test was checked, and it was found that the displacement of the bedding slope surface was more than that of the counter-bedding slope surface [19]. In Turkey, a study was conducted to examine the multi-dimensional mechanism of a landslide induced by earth-shaking using dynamic numerical modeling as well as the limit equilibrium method. The study concluded that a multi-dimensional roto-translational mechanism is responsible for the landslide mass into sub-masses and hence overcoming the characteristic period related to the landslide length [20]. Considering the combined effect of rain and earthquakes, laboratory experiments in controlled conditions are performed where most of the uncertainty of actual conditions is absent or less widespread. For example, a researcher [21] conducted an experimental analysis to study the combined effect of rainfall and earthquakes on the loess slopes. This is the only example that was found that combined both of these phenomena. The effect of weak layers on the failure of the soil slope due to earthquakes was not considered. It was also found that the weak soil layers can significantly weaken the earthquake amplitude, in the shaking table test [22]. Critical acceleration is a natural feature of the slope, and it determines the stability of the slope under the action of an earthquake. The critical acceleration model is a key component of the regional earthquake risk assessment. Therefore, the purpose of this paper is to highlight the impact of various types of acceleration on the assessment of the potential landslide caused by earthquakes. Traditionally, [PERSON]'s sensitive acceleration model is often used to assess the potential cause of landslides. This method requires the soil properties as input and to estimate the shear strength of soil to find out the factor of safety. The factor of safety plays an important role in the design of an embankment.