1. Introduction
Rainfall is one of the main factors triggering landslides. Zuo Zibo et al. studied the mechanism of rainfall-induced landslides in accumulation bodies with different gradations through model tests. They found that gradation has a significant impact on landslide initiation [
1]. Lin Hongzhou et al. investigated the effect of rainfall characteristics on the instability of soil slopes and reported that rainfall intensity and duration are key factors [
2]. Shi Zhenming et al. conducted model tests to analyze accumulated layer landslides, revealing the impact of rainfall infiltration on landslide stability [
3]. Li Zhuo et al. studied the influence of antecedent rainfall on slope landslides, emphasizing the importance of the cumulative rainfall amount [
4]. Wang Bin et al. simulated the process of intense rainfall-induced landslides in accumulated materials via model tests and explored the critical conditions for landslide initiation [
5]. Wu et al. experimentally studied the instability characteristics of loess slopes induced by rainfall [
6]. Ching-Chuan et al. examined the responses of the soil moisture content and pore water pressure to rainfall-induced shallow landslides [
7]. Chueasamat et al. employed a 1 g physical slope model to study rainfall-induced slope instability [
8]. Cui et al. experimentally investigated the migration characteristics of fine particles in widely graded unconsolidated soil under heavy rainfall conditions [
9]. Honghua et al. studied the disaster mechanism of completely weathered granite landslides induced by extreme rainfall [
10]. These studies have laid the foundation for understanding the relationship between rainfall and landslides, but they lack consideration of the specificity of landslides on gently inclined loess–bedrock contact surfaces. Most physical model experiments for landslide analysis involve the adoption of steeper slopes, whereas research on gently inclined slopes (typically less than 15°) is relatively scarce. The instability mechanism of gently inclined slopes differs significantly from that of steep slopes and involves more complex stress states and deformation processes. Under gently inclined conditions, factors such as the creep characteristics of loess and progressive failure may fulfill more important roles.
Zhang et al. proposed a generalized early warning criterion based on the Deformation Probability Index (DPI) for landslide risk assessment, which provided a new evaluation indicator for landslide monitoring [
11]. Additionally, Zhang et al. developed a new early warning criterion based on the Deformation Standardized Anomaly Index for landslide movement assessment, further improving the early warning system [
12]. Yang Xiaohui et al. investigated the coupled effect of earthquakes and rainfall on accumulated material landslides via model tests, revealing the synergistic effects of these two factors [
13]. F et al. conducted model tests to study rainfall-induced landslides in loose soil bodies in the Wenchuan earthquake area [
14]. Liu Peng et al. performed model test research on the initiation mechanism of shallow landslides triggered by rainstorms and proposed new initiation criteria [
15]. Chen Lixin et al. studied the hydraulic distribution patterns and initiation mechanisms of typical translational landslides, providing theoretical support for early warning of landslides [
16]. Zhao Quanli et al. revised the initiation criteria for translational landslides, thus improving the prediction accuracy [
17]. Iverson et al. investigated the acute sensitivity of landslide rates to the initial soil porosity, offering a new perspective for understanding landslide initiation processes [
18]. While these studies have provided important reference data for understanding landslide initiation processes, they lack sufficient consideration of the unique characteristics of gentle slope loess landslides. Wang Zhihua et al., via the use of the Fengdian landslide as an example, studied a geomechanical model of gentle slope landslides, providing new insights for landslide stability analysis [
19]. Yang Zhongkang et al. conducted stability analysis and threshold research on gentle slope loess landslides, focused on the Liaoji village landslide, and explored the critical conditions for landslide initiation [
20]. Li Lin et al. studied risk monitoring and early warning of landslide–debris flow disaster chains via experimental simulations, thereby offering new approaches for comprehensive disaster prevention and mitigation [
21]. Liu Linan et al. investigated the rainfall-induced mechanism underlying Jialanpute loess landslide–debris flow in Yili, Xinjiang, revealing the transformation relationship between landslides and debris flows in loess areas [
22]. Li et al. performed physical model experiments to assess the risk of rainfall-induced debris landslides [
23]. Acharya et al. studied the impact of shallow landslides on the sediment supply [
24]. Although these studies have provided important reference data for understanding the landslide initiation process, limitations still exist. The formation of landslides on gently inclined loess–bedrock contact surfaces is typically a long-term, slow process involving the cumulative effect of multiple rainfall events, seasonal changes, and other factors. However, most of the aforementioned studies involving physical model experiments have focused mainly on single heavy rainfall events or short-term effects, making it difficult to simulate long-term evolutionary processes.
Dou Xiaodong et al. investigated the failure mechanism of deep accumulated ancient landslides via laboratory model tests, providing novel insights into understanding landslides under complex geological conditions [
25]. Chu et al. studied the deformation behavior and evolution process of multislip band landslides via physical model tests [
26]. Zhu Yuanjia et al. conducted numerical simulations of gentle slope landslides under intermittent rainfall and explored the impacts of rainfall characteristics on landslide stability [
27]. Yongshuai et al. combined model tests and numerical simulations to study rainfall-induced slope instability processes [
28]. Lee et al. simulated rainfall-induced landslides via full-scale flume tests [
29]. While these studies have offered new tools for understanding landslide processes under complex rainfall conditions, physical model tests are needed to verify gentle slope loess landslides. Wang Li et al. studied the infiltration characteristics and deformation mechanisms of rainfall-induced landslides in the Three Gorges Reservoir area via one-dimensional and two-dimensional model tests, offering novel insights into the influence of hydrogeological conditions on landslides [
30]. Yang et al. elucidated the hydrological mechanisms and thresholds for rainfall-induced landslides via in situ monitoring and unsaturated slope stability analysis [
31]. Meng Zhenjiang et al. conducted model tests to study rainfall-induced loess landslides with preset joints, thereby revealing the influences of joints on landslide occurrence and development [
32]. Guodong et al. assessed the impact of loess slope excavation under long-term rainfall conditions via model tests [
33]. Matziaris et al. used centrifuge models to study the thresholds for rainfall-induced landslides on sandy slopes [
34]. In terms of numerical simulation technology, Zhang et al. employed an SVR-based ensemble model to predict landslide displacements in reservoir areas, enhancing prediction accuracy through input parameter optimization, which provided a new approach for landslide numerical simulation [
35]. While these studies have offered new perspectives to better understand landslide mechanisms under specific conditions, existing physical model experiments have focused mostly on the impact of surface rainfall infiltration on landslides, with relatively insufficient simulations of dynamic processes such as groundwater level changes and deep groundwater movement. Particularly for landslides on gently inclined loess–bedrock contact surfaces, long-term changes and seasonal fluctuations in groundwater may play crucial roles in their formation and development, but complex hydrological processes can rarely be reproduced accurately in short-term physical model experiments.
Via a review of existing research, current studies have focused primarily on general landslides or steep slope landslides, with insufficient consideration of the specificity of gently inclined slopes (slope < 15°), thus neglecting the unique mechanical properties and deformation processes of gently inclined slopes (<15°). Although gently inclined slopes have relatively low gradients, they still exhibit significant instability due to the unique properties of loesses: loesses are characterized by large pores and well-developed vertical joints, making it susceptible to softening and disintegration upon water exposure, leading to a significant reduction in strength; additionally, weak interlayers often develop at the loess–bedrock contact surface, which can form preferential seepage channels under long-term hydraulic action. Additionally, most studies have focused on the impact of short-term heavy rainfall, with insufficient research on the deformation evolution process of landslides on gently inclined loess–bedrock contact surfaces under long-term continuous rainfall conditions. Furthermore, existing physical model experiments have focused largely on the effect of surface rainfall infiltration on landslides, whereas simulations of dynamic processes such as groundwater level changes and deep groundwater movement are lacking. On the basis of the current research status and existing problems, in this study, physical model experiments were conducted to analyze the formation mechanism of gently inclined loess landslides, using the Libi landslide in Shanxi Province as an example. A physical model suitable for capturing the characteristics of landslides on gently inclined loess–bedrock contact surfaces was constructed to simulate the effects of different rainfall conditions and groundwater level changes on landslide stability. This study aimed to examine the deformation evolution process of gently inclined loess landslides under long-term rainfall and to reveal the critical conditions for landslide initiation.
2. Overview of the Libi Landslide
2.1. Structural Characteristics of the Libi Landslide
The Libi landslide is located on the southern side of the Libi Coal Mine Preparation Plant in Qinshui County, Shanxi Province (112°17′50″ E, 35°41′46″ N), situated at the western foot of the Taihang Mountains and the eastern margin of the Qinshui Basin. The area has convenient transportation access, being approximately 2 km west of Provincial Road S340, 15 km from Qinshui County town, and 45 km east of Jincheng City. The regional transportation location and panoramic photograph of the landslide are shown in
Figure 1. The study area is characterized by a temperate continental monsoon climate, with an average annual temperature of 11.3 °C and an average annual precipitation of approximately 600 mm, with rainfall primarily concentrated between July and September. The landslide, which occurred in 2021, is classified as a gentle slope loess landslide. The rear edge of the landslide exhibits an elevation of 843.6 m, whereas the front edge exhibits an elevation of 764.5 m, yielding a relative height difference of 79.1 m. The maximum thickness of the landslide body is approximately 35.0 m, with a volume of approximately 3.79 × 10
4 m
3, categorizing it as a large-scale deep-seated landslide. The landslide demonstrates an elliptical shape in plan view, with a front width of approximately 340 m and a length of approximately 400 m along the main sliding direction, which is 23° west of north. The overall slope of the landslide is gentle, varying between 15° and 20°. The landslide mass primarily comprises loose accumulation layers, including Quaternary Holocene artificial fill (Q
4ml), loess-like soil (Q
4dl+pl), upper Pleistocene silty clay (Q
3dl+pl), silty clay with gravel (Q
3dl+pl), and boulders (Q
3dl+pl). According to drilling data and laboratory test results, the characteristics of soil layers from top to bottom are as follows: the uppermost layer is artificial fill, 8–10 m thick, grayish-brown in color, primarily consisting of gravel mixed with silty clay and exhibiting a loose structure, with a natural unit weight of 17.8 kN/m
3 and water content of 18.2%; beneath this is a loess-like soil layer, 5–7 m thick, light yellow in color, characterized by large pore structure, with a natural unit weight of 16.5 kN/m
3, water content of 16.8%, liquid limit of 28.5%, and plastic limit of 17.2%; below this is a silty clay layer, 4–6 m thick, brownish-yellow in color, with a natural unit weight of 18.5 kN/m
3, water content of 20.1%, liquid limit of 32.4%, and plastic limit of 19.8%; the lowest layer is silty clay with gravel, 3–5 m thick, grayish-brown in color, with a natural unit weight of 19.2 kN/m
3, water content of 19.5%, and particles < 0.075 mm accounting for 65% of the content (
Figure 2). The rear part of the sliding mass mainly comprises silty clay and silty clay with gravel, whereas the front part is dominated by boulders and cobbles. The entire sliding mass exhibits a thickness ranging from 20 to 35 m. The slip zone is located within the highly weathered sandy mudstone layer of the Upper Shihezi Formation of the Permian System. This rock layer has exhibited long-term weathering and softening due to groundwater saturation. The rock mass is extremely fragmented, with the increased clay content causing a significant reduction in the shear strength. This layer forms a weak interlayer component at the top of the sliding bed, providing the primary material basis for landslide development. The sliding bed mainly encompasses moderately weathered sandy mudstone. This rock layer has retained its original structure, with developed joints and fissures, and the rock core exhibits a mostly short columnar shape. Borehole data indicate that the sliding bed is buried at a depth of approximately 35 m, with significant variations in the inclination angle. The rear part is relatively steep (15°–20°), whereas the middle and front parts exhibit gentler slopes (5°–8°), forming a stepped profile. This stepped bedrock topography provided important geological conditions for the occurrence of this landslide.
2.2. Analysis of the Major Factors Influencing the Formation of the Libi Landslide
The formation of the Libi landslide is not only closely related to internal conditions such as the site stratigraphy, lithology, geological structure, and geomorphology but also greatly influenced by external factors such as rainfall infiltration and human engineering activities. The geological conditions of the Libi landslide constitute a crucial internal factor in its formation. From a stratigraphic and lithological perspective, Quaternary loose deposits are widely distributed across the site, comprising from top to bottom, an artificial fill layer (8–10 m), mainly consisting of gravel mixed with silty clay, exhibiting a loose structure and a natural unit weight of 17.8 kN/m3; a loess-like soil layer (5–7 m), characterized by large pore structure and a natural unit weight of 16.5 kN/m3; a silty clay layer (4–6 m), with high compressibility and a natural unit weight of 18.5 kN/m3; and a silty clay layer with gravel (3–5 m), having a natural unit weight of 19.2 kN/m3. These soil layers generally exhibit characteristics of easy softening upon water exposure and low shear strength. The bedrock consists of sandy mudstone from the Upper Shihezi Formation of the Permian System, with its surface being highly weathered, forming a weak interlayer at the top of the sliding bed. This rock layer, having undergone long-term weathering and groundwater saturation, is extremely fragmented with increased clay content, resulting in significantly reduced shear strength. The fresh bedrock primarily comprises moderately weathered sandy mudstone, retaining its original structure but with well-developed joints and fissures. This soft-over-hard structural characteristic provided favorable conditions for the formation of the sliding surface. Regarding the tectonic background, the Libi mining area is located on the eastern wing of the Qinshui syncline, where regional tectonic movements have led to rock layer folding and deformation. The rock layer dip direction basically coincides with the slope direction, forming a typical “dip slope” structure, which makes interlayer sliding more likely to occur.
The study area is located at the western foot of the Taihang Mountains, geomorphologically belonging to the loess hilly region. The landslide mass exhibits an elliptical distribution, with a front width of approximately 340 m and a length of approximately 400 m along the main sliding direction. While the overall slope is gentle, its internal topography shows significant variations. The rear edge has an elevation of 843.6 m, while the front edge is at 764.5 m, yielding a relative height difference of 79.1 m. Multiple gullies have developed within the area, displaying a dendritic distribution pattern with typical cutting depths of 3–5 m. The presence of these gullies not only increases the fragmentation of the terrain but also provides preferential pathways for rainfall infiltration. Floodplains have developed in the middle and lower portions of the slope, facilitating surface water convergence and creating conditions favorable for groundwater recharge. The slope gradient distribution exhibits a distinct zonation: upper section (15°–20°): relatively steep, susceptible to local instability; middle section (8°–15°): more gentle, constituting the main sliding zone; lower section (5°–8°): most gentle, but significantly affected by groundwater. This topographical configuration makes the upper rock and soil mass prone to downward movement under gravitational forces.
Meteorological conditions serve as a crucial triggering factor for the instability of the Libi landslide. The study area is characterized by a temperate continental monsoon climate, with an average annual precipitation of approximately 600 mm, showing extremely uneven distribution throughout the year, primarily concentrated between July and September. The cumulative precipitation from January to September 2021 reached 957.44 mm, exceeding the average for the same period in normal years by more than 30%. Notably, continuous rainfall occurred for four days from 12 to 15 July, with an average daily rainfall of 85 mm and a maximum rainfall intensity of 32 mm/h. Another period of sustained heavy rainfall occurred from 23 to 26 September, with a four-day cumulative rainfall reaching 312 mm, a maximum daily rainfall of 156 mm, and a maximum rainfall intensity of 38 mm/h, all exceeding the local once-in-a-century storm standard (daily rainfall of 125 mm). The groundwater conditions are complex, primarily comprising Quaternary pore water and bedrock fissure water. Monitoring data indicate that the groundwater level exhibits distinct seasonal variation characteristics: early May: average water level depth of 15.6 m; June–July: water level rapidly increased by 4.8 m due to heavy rainfall; late July: reached peak level, followed by gradual decline; late October: returned to 16.8 m. A significant positive correlation exists between groundwater level changes and landslide displacement rates, indicating that groundwater is a key factor controlling landslide movement. Rainfall infiltration affects landslide stability through two pathways: rapid infiltration through surface fissures and gullies, leading to increased water content and reduced strength in shallow soil layers, and groundwater recharge, resulting in water level rise and increased pore water pressure. The coupled effect of these two processes serves as the primary cause triggering accelerated landslide deformation.
Recent human engineering activities in the study area primarily include the following: highway construction initiated in 2019, involving excavation and filling operations in the upper portion of the slope, which altered the original topography and stress state; mining activities at the Libi Coal Mine on the northern side of the landslide, which created mined-out areas and induced surface subsidence, disrupting the original geological structure; and slope excavation and site leveling works during the construction of the coal preparation plant’s industrial site, which increased the slope load. The cumulative effects of these engineering activities have altered the stress distribution and drainage conditions of the slope, constituting significant anthropogenic factors that have exacerbated landslide instability.
The land use types in the study area primarily comprise woodland, bare land, and construction land. The woodland is mainly distributed in the upper portion of the slope, dominated by shrubs and sparse forests, with relatively low vegetation coverage (<30%), shallow root systems, and limited protective capacity. The middle and lower portions are predominantly bare land, lacking vegetation protection, and prone to surface runoff and soil erosion under rainfall conditions. The construction of industrial sites has altered the original land use patterns, increasing impervious surface area and concentrating surface runoff. Site leveling and ground hardening treatments have modified the original infiltration conditions, leading to increased groundwater recharge in localized areas.
To understand the deformation development pattern of the landslide mass, both surface and deep displacement monitoring points were established in the landslide area. Surface displacement monitoring included 14 monitoring points. During the period from November 2020 to October 2021, the maximum cumulative displacement of the slope reached 68.9 mm, with a maximum settlement of 5.5 mm, generally exhibiting greater displacement on the eastern side compared to the western side. Regarding deep displacement monitoring, six and fourteen inclinometer holes were installed in June and August 2021, respectively, with depths ranging from 15.0 to 35.0 m. The first batch of inclinometer monitoring showed a maximum displacement of 30 mm located in the middle surface area; the second batch recorded a maximum displacement of 44 mm, similarly occurring in the middle surface position. The monitoring results indicated that the landslide deformation exhibited significant spatial variation, characterized by “larger in the east, smaller in the west, and maximum in the middle”, with deformation rates significantly increasing during rainfall periods.
The formation of the Libi landslide results from the combined effects of multiple factors. The intrinsic geological and geomorphological conditions provide the material basis for landslide development, anomalous meteorological and hydrological conditions serve as direct triggering factors for landslide instability, and human engineering activities and inappropriate land use have exacerbated landslide development. The coupled effects of these factors ultimately led to the landslide’s transition from a slow creep to a sudden phase of instability.
3. Physical Model Test Design
3.1. Physical Model Test Methods
Physical model testing serves as an essential means for investigating the formation mechanism of landslides on gently inclined loess–bedrock contact surfaces. Through scaled simulation of prototype landslides under laboratory conditions, this approach enables an in-depth study of the influence mechanisms of rainfall infiltration and groundwater level changes on landslide stability. The 1 g indoor model test method was adopted, and a physical model with a geometric similarity ratio of 1:120 was constructed based on similarity theory principles. The test design comprehensively considered the characteristics of the Libi landslide, including large landslide body thickness (20–35 m), rainfall and groundwater level changes as primary triggering factors, and distinct phases in deformation development. Regarding the similarity ratio design, key similarity criteria were established, including geometric similarity ratio (1:120), gravitational acceleration similarity ratio (1:1), and density similarity ratio (1:1), which formed a complete set of similarity relationships. For model materials, a loess from the prototype landslide was selected and processed through sieving and moisture content adjustment to ensure that the physical and mechanical properties of the model materials closely matched those of the prototype soil mass. Boundary conditions were controlled using a rigid model box, with a bottom drainage system to simulate groundwater level changes and an open-top design to facilitate rainfall simulation. The monitoring system configuration established a multi-parameter monitoring system, including pore water pressure, earth pressure, and water content sensors, enabling real-time monitoring of the model’s internal state.
3.2. Design of the Model Box and Rainfall System
A model box was constructed using durable square steel tubes as the main structural support, combined with highly transparent tempered glass. The overall framework was assembled via precise welding techniques, thus ensuring sufficient strength and observational convenience. The dimensions of the model box are 4.0 m in length, 2.2 m in width, and 2.0 m in height, fully considering the experimental requirements and operational space. Inside the box, a partition wall was built with machine-made bricks and concrete, thereby dividing the entire space into two equal-sized sections (4.0 m × 1.0 m × 2.0 m). This design allows two sets of model tests to be conducted simultaneously, which increases the experimental efficiency. The bottom and back of the box were constructed with steel plates nearly 1 cm thick, not only guaranteeing the overall strength of the box but also ensuring favorable waterproofing performance. An open design was adopted for the top to facilitate the implementation of simulated rainfall processes. Both sides were sealed with 12 mm thick tempered glass, with grid lines drawn on the outer surface to facilitate soil deformation observation and recording. To minimize the influence of boundary effects on the formation of the sliding surface, a layer of silicone oil was uniformly applied to the inner side of the tempered glass, thereby reducing sidewall friction. All the gaps in the model box were sealed with silicone sealant to prevent leakage during the experiment. Two drainage pipes were installed in the lower part of the box to drain surface water, thus simulating natural drainage conditions. To simulate groundwater level rise, a water tank was placed in the upper part of the slope on the right side of the model box. The groundwater level can be adjusted by controlling the amount of water in the tank, as shown in
Figure 3. To achieve precise control of groundwater levels, the model incorporated a complete groundwater control system. A permeable layer with a thickness of 5 cm was installed 10 cm above the sliding bed surface, constructed using gravel with particle sizes of 2–5 mm to serve as a groundwater seepage channel. The water supply system included a 0.5 m
3 elevated water tank, with its bottom connected to the permeable layer via pipelines, allowing water supply pressure to be controlled by adjusting the water level height in the tank. Adjustable overflow pipes were installed at the bottom of the model box, enabling groundwater level control through modifications to the outlet height of these pipes. The initial groundwater level was set at 15 cm above the sliding bed surface (equivalent to 18 m in the prototype according to the 1:120 similarity ratio), which closely matched the natural groundwater level observed in field monitoring. Two methods were employed for controlling groundwater level fluctuations: for scenario two (rapid rise), the rapid water level increase was achieved by increasing the water supply rate while simultaneously raising the overflow pipe outlet; for scenario three (gradual rise), a constant-flow pump was used to control the water supply rate, with the overflow pipe height adjusted gradually according to predetermined rates to ensure a slow and stable water level rise.
The rainfall system primarily encompasses three parts: a control system, a water supply system, and a rainfall system. The control system provided the use of intelligent automatic adjustment technology, enabling precise control of the rainfall intensity within a range of 10 to 200 mm/h, with the set rainfall duration ranging from 0 h to 600 h. The system was equipped with three types of nozzles for producing light, moderate, and heavy rain, which can be used individually or in combination to meet experimental requirements for different rainfall intensities. The rainfall collection subsystem, connected to the control system via rain gauges, achieved real-time rainfall monitoring and self-checking functions, with measurement errors controlled within 2%, thus ensuring the accuracy of the experimental data. The water supply system includes components such as a 220 V AC power supply system, water pumps, a 1 m3 water storage tank, and water supply pipelines, which can source water from near the laboratory and deliver it to the rainfall system. The rainfall system comprises 2 × 2 rainfall units arranged in a rectangular distribution, with each unit containing three nozzles for producing light, moderate, and heavy rain. The nozzles are positioned 2.5 m above the bottom of the model box, ensuring a uniform distribution of raindrops on the simulated landslide surface. The system design facilitated the generation of separate rainfall events on both sides of the model box, enabling the simulation of different rainfall intensity conditions. The rainfall intensity was controlled by calibrating the pressure, achieving a precise simulation of the rainfall process.
3.3. Monitoring and Data Acquisition System
The monitoring and data acquisition system was designed to comprehensively and accurately monitor the dynamic changes in the slope under the effects of rainfall and groundwater. The monitoring system primarily comprises three types of sensors and corresponding data acquisition equipment used to monitor the pore water pressure, earth pressure, and volumetric water content. The parameters of the monitoring and data acquisition system are summarized in
Table 1. Prior to the experiments, systematic calibration was performed on all sensors. For pore water pressure meters, pressure was applied at 5 kPa intervals within the range of 0–50 kPa, and output voltage values were recorded, with measurements repeated three times to obtain average values for fitting the standard curve. For earth pressure sensors, calibration was conducted using standard weights for graduated loading, with measurements taken at 20 kPa intervals within the range of 0–200 kPa and output voltage values recorded, similarly repeated three times for averaging. For volumetric water content meters, calibration was performed using standard soil samples with known water contents (5%, 10%, 15%, 20%, 25%), where sensor probes were fully inserted into the samples and readings recorded, with three tests conducted for each water content to establish the correlation between water content and output signals. The data acquisition system underwent no-load testing before sensor connection, with the sampling frequency set to once every 3 s to verify the normal operation of all acquisition channels.
3.4. Similarity Analysis of the Landslide Physical Model
The 1 g indoor model test method was adopted, with the geometric similarity ratio between the test model and the physical model set to 1:120. The setting of this ratio accounts for both the feasibility of the experiment and the adequate representation of the main characteristics of the prototype landslide. The similarity ratio for both the gravitational acceleration and test density was set to 1:1 to maintain the maximum mechanical similarity between the model and the prototype.
On the basis of the first theorem of similarity, key parameters such as the length, width, and height of the onsite landslide were precisely measured, and the corresponding test model was constructed according to the above 1:120 scale ratio. To meet the kinematic and dynamic similarity requirements, soil samples collected from the study area were employed as model materials. These samples were processed via crushing and sieving to ensure that the physical and mechanical properties of the model materials remained as close as possible to those of the prototype soil. The water content in the model material was controlled at 15%, with a density of 1.64 g/cm
3, and the density similarity ratio was controlled at 1 during model construction. The similarity matrix is detailed in
Table 2.
3.5. Rainfall Working Condition Selection
According to meteorological data from Qinshui County, the cumulative precipitation from January to September 2021 reached 957.44 mm, which is more than 30% greater than the average value for the same period in normal years. Notably, two consecutive once-in-a-century extreme rainstorms occurred in July and September. Considering the impacts of rainfall and groundwater level changes on landslides at different time scales, three typical scenarios were designed for the experiment. Scenario one aimed to simulate the effects of short-term intense rainfall, scenario two aimed to model rapid groundwater level fluctuations under extreme weather conditions, and scenario three aimed to capture the cumulative effect of long-term rainfall and gradual groundwater level changes. The rainfall amounts and rainfall schemes are detailed in
Table 3.
Scenario one: Rainfall only
On the basis of actual rainfall data from Qinshui County for September 2021, a scaled design was implemented with a similarity ratio of 1:120. The rainfall scheme included seven rainfall events distributed over two days, with a total rainfall amount of 30.7 mm.
Scenario two: Rainfall + rapid groundwater level fluctuations
While maintaining the same rainfall conditions as those under scenario one, the factor of rapid groundwater level fluctuations was introduced in this scenario. The water level rapidly increased via the use of the water tank at the rear of the model box until slope failure occurred. This scenario aimed to simulate the impact of sudden groundwater level changes on landslide stability under extreme rainfall conditions. It focused on the abrupt changes in the internal stress state of the slope during rapid groundwater level fluctuations and the potential for triggering sudden sliding.
Scenario three: Rainfall + gradual groundwater level rise
This scenario involved the same rainfall conditions as those under the previous two scenarios but aimed to simulate a gradual increase in the groundwater level. The water level was controlled via the use of the water tank, thereby first increasing to 10 cm, then decreasing, and finally rising again, This cycle was repeated until the water level eventually reached 20 cm. Scenario three lasted for 6 days, with the rainfall amount and timing identical to those under scenarios one and two. Starting from the third day, a slow water addition method was employed to simulate the progressive increase in the groundwater level.
3.6. Sensor Layout
The sensor design comprehensively accounted for the quantity of available sensors and the limitations of the data acquisition equipment while also considering the requirements of the different scenarios. The layout is shown in
Figure 4 and
Figure 5. The specific arrangement plan is as follows:
Scenario one (rainfall only): Two layers of sensors were arranged in the middle cross section, with one group placed in the upper, middle, and lower parts of the slope for each layer. The upper layer sensors were buried at a depth of 10 cm, while the lower layer sensors were buried at a depth of 20 cm, resulting in a total of six groups. Each group included one pore water pressure sensor, one earth pressure sensor, and one moisture content sensor, resulting in eighteen sensors in total.
Scenario two (rainfall + rapid groundwater level rise): Two layers of six sensor groups were arranged on both the left and right sides of the slope surface, totaling twelve groups and thirty-six sensors.
Scenario three (rainfall + gradual groundwater level rise): Two layers of six sensor groups were arranged on the left, center, and right sides of the slope, totaling eighteen groups and fifty-four sensors.
3.7. Experimental Procedure
To ensure smooth experiment execution and data accuracy, a detailed experimental procedure was developed, which can be described as follows:
(1) Soil Selection
A loess from the Libi landslide site in Shanxi was selected as the experimental material to better simulate the mechanical behavior of the actual landslide.
(2) Soil Sieving
The collected loess samples were naturally dried in the laboratory and then sieved via standard sieves, as shown in
Figure 3. A sieve with a 2 mm aperture was employed to remove larger gravel and plant roots, ensuring soil sample uniformity (
Figure 6). The basic physical properties of the sieved soil samples, including water content, density, and liquid and plastic limits, were determined to ensure consistency with the characteristics of the prototype landslide soil. The soil parameters are as follows: natural unit weight, 18.5 kN/m
3; saturated unit weight, 19.0 kN/m
3; cohesion, 11 kPa; internal friction angle, 9.86°; Poisson’s ratio, 0.3; liquid limit, 30.2%; and plastic limit, 19.1%.
(3) Landslide Model Construction
Based on the scaled landslide profile and prototype stratigraphic characteristics, the model construction began with building the basic shape of the sliding bed using concrete at the bottom, setting the slope gradient according to the prototype scale ratio with 15°–20° in the rear part and 5°–8° in the middle and front parts. Subsequently, a fine sand layer (approximately 2 cm thick) was placed as a permeable layer, followed by the loess-like soil layer (approximately 28 cm thick). The filling process employed a layer-by-layer compaction method, with each layer subdivided into 2–3 thin layers (single layer thickness controlled within 5 cm). Meanwhile, the physical and mechanical parameters of each soil layer were strictly controlled to ensure the model could accurately reflect the stratigraphic structural characteristics and mechanical properties of the prototype landslide. To ensure proper bonding between layers, the surface of the lower soil layer was loosened before subsequent filling.
(4) Sensor Installation
Various sensors were installed according to the previously designed layout plan. A small pit was first established on the soil surface at each predetermined position, and the sensor was placed and carefully covered with surrounding soil. Then, the establishment of the upper soil layer continued. In the filling process, the compaction degree of the soil around the sensors should be consistent with that of the overall soil to prevent local nonuniformities from affecting the measurement results. Pore water pressure sensors and earth pressure sensors were installed with their sensing surfaces facing upwards, whereas moisture content sensors were maintained with their probes in full contact with the soil. All sensor cables were carefully led out of the model box to prevent disturbance to the soil body in the subsequent tests.
(5) System Debugging
The connections of all the sensors were inspected to ensure that each sensor was correctly connected to the data acquisition system. The data acquisition system was started, and each sensor was calibrated and assessed to ensure that it functioned normally and output accurate data. The data acquisition frequency and data storage capacity were adjusted to ensure continuous uninterrupted data recording during long-term experiments. In accordance with the designed rainfall scheme, the position and water pressure of the nozzles were finely adjusted to ensure a uniform rainfall distribution on the model surface. Via calibration tests, the nozzle opening combinations and pressure settings for achieving different rainfall intensities were determined to simulate the designed rainfall scenarios accurately. The sealing of the water tank and pipe connections was inspected, and multiple water addition tests were conducted to ensure precise control of groundwater level changes. Particularly for scenarios aiming to simulate slow groundwater level rise, the water addition rate was carefully calibrated to ensure that the expected water level change process could be achieved.
(6) Rainfall
In accordance with the previously designed rainfall plan, an intelligent control system was employed to precisely control the rainfall intensity and duration. The rainfall process was divided into seven events, with a total rainfall amount of 30.7 mm distributed over two days. A combination of nozzles for producing light, medium, and heavy rain was used to ensure a uniform rainfall distribution on the model surface. In the rainfall process, rain gauge data were obtained in real time to ensure that the rainfall intensity and cumulative rainfall matched the designed values.
(7) Groundwater Level Application
Scenario 2 (rapid fluctuation): Rapid water injection via the water tank at the back of the model box caused the groundwater level to increase quickly. The water level changes were continuously monitored until obvious deformation or signs of instability were observed in the landslide body. Scenario 3 (slow rise): Starting from the third day, a slow water addition method was adopted to simulate the gradual increase in the groundwater level. The water level was first raised to 10 cm and then lowered and finally raised again, and this cycle was repeated until the water level eventually reached 20 cm. The entire process lasted 4 days, with precise control of the water addition rate to ensure the stability of water level change.
(8) Data Collection and Observation
A YBY-4010 strain analysis system and a YB-R485 data acquisition device were used to collect data from the various sensors at a frequency of once every 3 s. Grid marking points were prearranged across the outer surface of the model box to observe rainfall infiltration. Via the use of data from the buried soil pressure sensors, the internal stress changes in the soil were analyzed to infer internal deformation. Close attention was given to the appearance, expansion, and penetration process of cracks on the model surface, and the crack distribution at key time points was recorded. Once obvious deformation or signs of instability were observed, the landslide body movement process was recorded in detail.
(9) Data Analysis
Sensor data, image analysis results, and observation records were synchronized in both time and space. Combining factors such as rainfall intensity, cumulative rainfall, and groundwater level changes, the internal water-force coupling mechanism of the landslide body was analyzed. By comparing data from the different scenarios, the critical rainfall and groundwater level conditions for triggering landslide instability were determined. On the basis of the continuous monitoring data, the complete deformation evolution trend of the landslide from initiation to instability was summarized.
6. Formation Mechanism Study of Landslides on Gently Inclined Loess–Bedrock Contact Surfaces
Through a combination of physical model experiments and numerical simulations, this study revealed the formation mechanisms of landslides on gently inclined loess–bedrock contact surfaces under various combinations of rainfall and groundwater conditions, with the primary mechanism manifesting as a progressive failure process driven by hydro-mechanical coupling effects.
Under scenario one (rainfall only), the landslide primarily exhibited a process of surface saturation, crack development, and shallow localized instability. During the initial rainfall period (0–5 h), water mainly affected the surface soil, causing a rapid increase in water content at 10 cm depth (from 16.7% to 17.1%), while changes at 20 cm depth were insignificant, demonstrating typical shallow influence characteristics. As rainfall continued, significant water redistribution occurred within the soil mass, with the pore water pressure evolving from negative to positive values, reaching its peak at the 22nd hour. The soil pressure increased with water content, reaching a maximum of 10.02 kPa at 20 cm depth in the upper section, but did not lead to overall instability. The deformation process exhibited distinct spatial differentiation, mainly manifesting as surface crack development and localized collapse, without forming a through-going sliding surface. This indicates that under rainfall conditions alone, gently inclined slopes maintain a certain self-stability capacity, with failure primarily limited to the shallow surface layer and, resulting in a minimal impact on deep soil masses. This closely aligns with numerical simulation results, which showed a maximum displacement of only 0.028 m, with maximum shear strain mainly concentrated in the surface layer and relatively slow deformation development rates.
Under scenario two (rainfall + rapid groundwater level rise), the landslide exhibited a process of rapid saturation, stress redistribution, and overall instability. The combined effects of rainfall and a rapid groundwater level rise led to quick soil saturation, with the water content in the upper left section dramatically increasing from 13.9% to 67.1% within 5 h. The pore water pressure changed dramatically, rapidly rising from 0 kPa to 1.43 kPa at 10 cm depth in the middle left section, followed by significant fluctuations, reflecting complex hydro-mechanical coupling effects. Changes in soil pressure were even more significant, increasing from 0 kPa to 25.41 kPa in the middle left section, indicating fundamental changes in the internal stress state of the soil mass. The deformation process showed distinct staged and sudden change characteristics, first forming longitudinal tensile cracks (2–3 mm wide, 30 cm long) in the middle section, followed by horizontal tensile cracks in the upper section, and finally, multiple shear cracks at the slope toe, leading to overall instability. The numerical simulation results showed that the maximum displacement reached 0.04 m, 1.5 times that of scenario one, with a more rapid failure process developing from the slope crest downward, ultimately forming a through-going sliding surface. Based on both the model test and the numerical simulation results, the failure mode under this scenario can be categorized as a “sudden translational failure mode”, characterized by the following features: under the combined effects of rainfall and a rapid groundwater level rise, softening first occurs in the rear portion of the slope, and as the groundwater level continues to rise rapidly, the saturated zone quickly expands downward, accompanied by sudden adjustments in internal slope stresses, increased unit weight of soil in the middle and rear portions, and increased sliding force. Under the weight of the overlying soil mass, sudden overall sliding occurs. This failure mode is characterized by rapid development, deep failure depth, and wide affected area, often leading to disastrous consequences within a very short time.
Under scenario three (rainfall + gradual groundwater level rise), the landslide formation mechanism exhibited typical progressive failure characteristics. The water infiltration process proceeded from fast to slow, with the initial saturation depth reaching only 6 cm on the first day and complete saturation achieved by the sixth day. The water content changes demonstrated clear cumulative effects, increasing from 16.1% to 70% within 20 h in the left slope section, with spatial distribution showing distinct non-uniformity. The evolution of the pore water pressure was gradual but continuously accumulative, increasing from 2.04 kPa to 2.4 kPa in the lower left section during the 85–171 h period. The soil pressure exhibited significant nonlinear characteristics with different variation patterns at different locations, such as a “V-shaped” fluctuation in the lower right section (decreasing from 0 kPa to −17.64 kPa before rising to 18 kPa). The deformation development underwent a complete evolutionary process: from initial fine cracks (1–2 mm wide, 40 cm long), to continued expansion in the middle phase (3–4 mm wide, 60 cm long), and finally forming through-going shear cracks (70 cm long, 4 cm deep), leading to overall instability. The numerical simulation results indicated that this progressive failure process resulted in a maximum displacement of 0.034 m, between that of scenarios one and two, but with a more complete and typical failure process. Based on both the model test and the numerical simulation results, the failure mode under this scenario can be categorized as a “progressive translational failure mode”, characterized by the following features: under continuous rainfall and a gradual groundwater level rise, the soil water content gradually increases and strength begins to deteriorate; due to the gentle slope characteristics, the soil mass generates continuous horizontal thrust under gravity but without an obvious deformation initially; when the accumulated pore water pressure reaches a certain level, a localized translational deformation first appears at weak points, characterized by the horizontal displacement exceeding the vertical displacement, forming independent small translational bodies; as the groundwater level continues to rise slowly, various local translational deformation zones gradually expand and interconnect, forming translational sliding surfaces that are often approximately parallel to the bedrock surface; once the translational sliding surface is fully connected, under continuous hydraulic action and thrust from the upper soil mass, the sliding body exhibits primarily translational movement characteristics, resulting in a large-scale horizontal displacement. This failure mode is characterized by slow development, high predictability, and sufficient warning time.
According to monitoring data, the accumulated precipitation in the Libi landslide area reached 957.44 mm from January to September 2021, more than 30% higher than the average for the same period in normal years, with relatively continuous rainfall patterns. Groundwater level monitoring data showed distinct seasonal variation characteristics: the average water depth was 15.6 m in early May, and slowly rose by 4.8 m during June–July due to heavy rainfall influence. This slow but continuous water level change pattern highly corresponds with scenario three. Regarding the deformation process, monitoring data indicated that the landslide underwent a slow deformation phase lasting several months: during the period from November 2020 to October 2021, the slope’s maximum cumulative displacement reached 68.9 mm, with a maximum settlement of 5.5 mm. These progressive deformation characteristics closely align with the experimental results of scenario three. Therefore, it can be concluded that the formation mechanism of the Libi landslide highly corresponds with the formation mechanism under scenario three conditions; namely, under the long-term coupled effects of continuous rainfall and a gradual groundwater level rise, the landslide underwent a progressive translational failure process.