An analysis of the entrainment effect of dry debris avalanches on loose bed materials
© The Author(s) 2016
Received: 27 April 2016
Accepted: 8 September 2016
Published: 20 September 2016
Substrate entrainment can greatly influence the mass movement process of a debris avalanche because it can enlarge the landslide volume and change the motion characteristics of the sliding masses. To study the interaction between debris avalanches and erodible substrate, physical modeling experiments varying in the mass of granular flow and substrate thickness were performed. The experimental results show that both the entrained materials and the maximum erosion depth are increased with increasing mass of the debris avalanche and decreasing substrate thickness. During the experiment, several tests were recorded using a high-speed digital camera with a frequency of 500 frames per second, so that the process of entrainment could be clearly observed. Combined with the experiment result and results of previous studies from predecessors, the entrainment mechanism during debris avalanches are analyzed and discussed. The entrainment effect of the sliding masses on the loose bed materials include basal abrasion and impact erosion of the avalanche front, the latter of which can contribute to the former by failing or yielding the erodible bed.
In recent years, the occurrence frequency of catastrophic landslides has significantly increased because of human activities and changes in global climate (e.g., rising temperature and heavy rainfall), causing a tragic loss of lives and properties (Crosta et al. 2009; He et al. 2010; Monjez et al. 2011; Zhou et al. 2013; Singh et al. 2014; Umrao et al. 2015). However, most catastrophic landslides are triggered by strong earthquakes (Ding et al. 2012; Wu et al. 2012; Zhou et al. 2016a), e.g., the 2008 Wenchuan earthquake directly caused more than 15,000 geohazards in the form of landslides, rockfalls and debris flows, which resulted in approximately 20,000 deaths (Yin et al. 2009; Xing et al. 2015). The 2010 Haiti earthquake triggered tens of thousands of landslides, killed more than 200,000 people and caused approximately $8 billion in damages (Calais et al. 2010; Xu et al. 2012). Field investigations indicate that the magnitude of debris avalanches can rarely be determined by the volume of the initiating landslide, which may be small, as they can increase by several times during the moving process (Hungr et al. 2005). Landslide paths are often covered by surficial materials, including colluvium, glacial till, residual soil, alluvium and organics, which may be loose and saturated (McDougall and Hungr 2005). During the motion process of debris avalanches, rapid sliding masses will interact with the bed materials along the traveling paths and then entrain them (Legros 2002; Dufresne 2012). The entrainment of bed materials can increase the volume of the landslide by several times, alter avalanche characteristics because of the involvement of substrate materials, and enhance avalanche mobility (Hungr and Evans 2004; McDougall and Hungr 2005).
Because the entrainment effect is critical to the motion process of debris avalanches, considerable attention has been given to this topic over a long time span, and many cases involving this phenomenon have been well documented. For example, the 2000 Yigong landslide, with an initial volume of approximately 1 × 108 m3, increased its volume to more than 3 × 108 m3 because of the entrainment of a large amount of bed materials (colluvium with snow and ice) along the moving path (Shang et al. 2003). Zhou et al. (2016a) considered that there are three types of entrainment modes for high-speed landslides, namely, impact, scouring and erosion, and that high motion speed and water flow were primary factors for the intense entrainment of the Yigong landslide. The 1999 Nomash River landslide, with an initial volume of 300,000 m3, entrained approximately 360,000 m3 of materials, with an entrainment ratio of 0.96 (McDougall and Hungr 2005). The Val Pola rock avalanche entrained approximately 8 × 106 m3 of bed materials, which was approximately 20 % of the initial volume (Crosta et al. 2004). Crosta (1994) reported a rock slide/avalanche with an original volume of 0.15 × 106 m3 entrained approximately 0.25 × 106 m3 of materials while moving along a 35° inclined slope covered with deposit. Based on a large number of reported landslide cases, the entrainment effect is a common phenomenon in many large-scale landslides.
Previous studies on the entrainment effect have included experiments and numerical simulations with variable emphases or considering different factors. For example, Zhou et al. (2016a) studied the effect of the weight ratio of a debris avalanche between substrate and water on entrainment, indicating that landslides entrain bed materials via impact failure, scouring and erosion, and water plays a key role in this process. Dufresne (2012), through a small-scale laboratory test, found that increasing basal boundary roughness of the substrate increases the stability of the chain force and results in a shorter runout distance and that entrainment mechanisms include ploughing, deformation waves, fluidization and basal abrasion. Mangeney et al. (2010) conducted research on erosion and mobility in a granular collapse, drawing a conclusion that the erosion efficiency strongly increases with increasing slope. Furthermore, different numerical methods are conducted to study the entrainment effect of landslides on bed materials under different conditions (McDougall and Hungr 2005; McDougall et al. 2006; Mangeney et al. 2007; Crosta et al. 2015), and the discrete element method is widely used for simulation of the entrainment effect during mass movement processes. However, the entrainment effect of landslides on bed materials is a complicated problem, which is not only related to the volume and velocity of the flows but also related with the properties of the substrate materials (e.g., density, water content, grain graduation and others). In this paper, according to the entrainment effect of debris avalanches on loose bed materials, a flume is designed to simulate a debris avalanche on a slope, and several laboratory tests under different test conditions are performed. During the experimental process, a high-speed camera was used to record the mass movement process. Mass movement, entrainment and deposition of the sliding masses are analyzed. Combined with previous research results and the physical modeling test results, a new understanding on the entrainment mechanism of debris avalanches on loose bed materials is presented.
Many studies have indicated that substrate entrainment can alter the mobility of debris avalanches and greatly enlarge its volume, which may cause more severe catastrophes (Hungr and Evans 2004; Mangeney et al. 2010). In this paper, a flume is designed to study the entrainment effect of dry debris avalanches on loose bed materials by using friction model. The detail information of the flume and the use of materials, test conditions and experimental processes are briefly introduced in this section.
As shown in Fig. 1b, the terrain of the debris avalanche path changes everywhere, which inevitably causes the projection of the flow and the impact with the substrate. Therefore, an elevation difference between the moving and accumulation section was designed, connecting with a board, with a length of 28 cm and inclination of 60°. To observe the entrainment process, one side of the flume is made of transparent organic glass, and the other side and the base are made of organic plastics. Furthermore, several bars were glued on the flume surface of the accumulation section to increase the frictional resistance, which can avoid shear failure at this contact surface between the flume and loose bed materials.
Experimental design and entrainment effect test results
Mass of debris avalanche (kg)
Maximum thickness of bed materials (cm)
Maximum entrainment depth (cm)
As shown in Fig. 3a, most of the bed materials are accumulated at the front of the lower part of the flume, and three maximum thickness conditions of the bed materials are used here, which include 13, 16 and 19. Furthermore, the accumulated shape of the bed materials in the flume is an irregular triangle, and the accumulation thickness is decreased with decreasing height. Once the debris avalanche is initiated, the bed materials will be entrained by the sliding masses, and the final accumulation shape of the bed materials will be changed. As shown in Fig. 3b, the entrainment profile refers to the bed materials accumulated in the flume, and the entrainment depth is the difference between the original profile and the entrainment profile of the bed materials (where the maximum entrainment depth is the corresponding maximum value).
Before the start of the laboratory tests, regular squared grids were drawn on the transparent side of the flume (the original profile of the bed materials is measured previously), and then the whole mass movement process and final deposition shape can be observed using a high-speed camera, a digital camera and a Single Lens Reflex (SLR) camera. The fine bed materials were paved in different thicknesses on the accumulation section, and the thickness of the erodible bed in different locations were measured. A determined mass of the coarse materials was taken into the hopper to simulate the sliding masses of debris avalanche. During the experimental process, a MotionPro-Y3-S1 type high-speed camera with a determined frequency (500 frames/s) was used to record the entrainment process of the sliding masses on the bed materials. Additionally, a digital camera in front of the flume was used to observe the moving process of the whole sliding masses. Once the gate of the hopper was opened, the debris avalanche was initiated and the masses would transport in the flume, and then entrained the bed materials. After the mass movement process is finished, the final profile (entrainment profile) of the bed materials is measured again, and several photos are taken from different positions. Some key phenomena and parameters are indirectly determined using the videos and photos.
In this section, experimental results related with the mass movement and entrainment processes are first analyzed, and then comparative analyses of the deposition profile of bed materials under different conditions are conducted. Mass of debris avalanche and thickness of bed materials are the key factors affecting the entrainment process of debris avalanche discussed here.
There are three stages for the upper motion debris: stage I is when the motion velocity continues to increase, although the debris has not yet been in contact with the substrate materials. As shown in Fig. 5, the motion velocities of particles both in front and postmedian are slightly increased after they leave the movement section. Stage II is when the motion velocity rapidly decelerates, and strong interactions occur between the motion debris and substrate materials (impacting, scouring and erosion cause great energy dissipation for the motion debris). The velocity sharply decreases when the sliding masses encounter the bed materials accumulated in the flume, activating the bed materials through the transmission of kinetic energy. The frontal particle will bound up and then undergo a process of deceleration and acceleration in sequence. The process of impact with the substrate and bouncing off the bed can last for several cycles, but the fragment will slide along the bed with decreasing velocity. Stage III is the continued motion process, with a gradual decrease in the overall velocity as the bed materials mix into the upper motion debris. The particles in the postmedian section bounce off the bed the first time it encounters the substrate, and then move down along the surface of the bed, decelerating until they stop. During the deceleration process, part of the consumed energy will be transmitted to the static substrate materials which then are entrained. Furthermore, the velocity fluctuates when the particles move forward because of the collision of the following particles.
As shown in Fig. 6b, once the high-speed sliding masses encounter the bed materials, an intense impact occurs causing the bed materials to spray forward with a high velocity. After the impact with the substrate, some debris materials bound upward and make additional contact with the bed, which causes secondary collisions. With the bed materials constantly impacted by the upper sliding masses, the bed materials are scoured by the debris and gradually causing deep cuts (Fig. 6c, d). Hence, the subsequent mass will not cause further spray of the bed materials, but instead compresses them and pushes the material forward. During the impact and scouring of the bed materials at the impact area, compression ridge forms in front of this position because of collision and compression of the debris avalanche on the frontal static substrate materials (Marr et al. 2001). Furthermore, a thin layer on the top of the substrate is activated to move under the drag of the debris avalanche because the bed materials are loosely piled and have low resistance strength. According to the videos, the velocity of this layer is slightly slower than the debris avalanche, but it moves synchronously after being accelerated. The thickness of this layer becomes thinner along the accumulation section. In the moving process of the entrained materials, some of the materials are involved in the debris avalanche and move forward together with the debris avalanche. The debris loses considerable energy during the collision with the substrate. Therefore, its velocity decreases substantially at the impact zone, which hinders the following mass from moving forward. As a result, a majority of the debris materials are deposited near the impact area. In the process of our experiment, injection of the debris into the substrate was also observed.
Deposition profile of bed materials
As shown in Fig. 9a and Table 1, the entrainment effect increases with increasing debris mass, this is because a growing mass of the debris avalanche means it contains greater motion energy. Besides, increasing mass also can lead to longer lasting of the erosion process, which can cause more serious impact, scouring and erosion of the bed materials. As shown in Fig. 9b and Table 1, the entrainment effect decreases with the increasing maximum thickness of bed materials, which indicates that greater thickness of the bed material resulted in more shear resistance to prevent the occurrence of shear failure. In a real large-scale debris avalanche, although the sliding masses have substantial kinetic energy, only a small depth of bed materials is entrained by the debris avalanche. The entrainment effect generally occurs on the shallow slope, and rarely occurs in the deep part of the slope.
The scale of the modeling test in our experiment is much smaller than those characteristic of the natural debris avalanche. There have some implicit relationship between the small scale of physical modeling test and the large scale of actual debris avalanche, which is associated with the scale ratio in different aspects. A scaled model is a reduced representation of reality, and it needs to be geometrically and dynamically similar to field events (Hubbert 1937; Ramberg 1981). Thus, it is very important to study the scale effect and the relevance between our results and corresponding quantity of the field debris avalanche.
Regarding to the geometrical scaling of the model, the length scale ratio (λ L) which is defined as the ratio of the length in the model to the corresponding length in the prototype is used herein. By using of the length scale ratio (such as 1/50), some other geometrical variables like the landslide volume and entrainment depth of the scaled-up debris avalanche can be calculated. Actually, same scaling ratio should be chosen for the particle size of the debris materials and substrate materials to fulfill the geometrical scaling. However, if the same scale ratio is selected size of experimental materials, the particle size of substrate materials will be too fine which can lead to the fact that the resistance of the bed materials will be too large to be entrained. Besides, it is not conducive to observe the entrainment process because of the aroused great dust. In fact, it is impossible to exactly represent the prototype grains at small-scale modeling tests, where larger size for experimental materials is often chosen for some certain purposes (Davies and McSaveney 1999). Thus a larger scale ratio for the particle size of the experiment materials (λ D = 1/20) can be selected in the modeling tests. Meanwhile, to maintain the same scale ratio of debris materials and substrate materials, larger size of the debris materials was chosen, which are which are 0.04–0.08 and 0.002–0.005 m for the debris avalanche and substrate materials.
Scaling parameters and dimensionless scaling criteria (an example when the debris mass is 60 kg and the maximum substrate thickness is 19 cm)
ρ d (g/cm3)
M d (kg)
λ M = (λ L )3 = (1/50)3
7.5 × 106
V d (m3)
λ V = (λ L )3 = (1/50)3
(3.33–3.75) × 103
λ L = 1/50
λ L = 1/50
λ U = (λ L )1/2 = (1/50)1/2
H 0 (m)
λ L = 1/50
H e (m)
λ L = 1/50
D d (m)
λ D = 1/20
D s (m)
λ D = 1/20
Even if geometrical similarity and dynamically similarity are carefully designed for the physical modeling tests, it is impossible to uniformly replicate all dynamics in a flume system (Thompson and Wohl 1998). Thus, there still have some differences between the experiments results and corresponding actual situations in the landslide dynamics and entrainment effects, especially when the scale ratio is relatively small. However, the entrainment mechanisms behind the mass movement process are basically similar for the small scale of modeling test and large scale of actual landslide, which are discussed in detail in the following section.
In nature, the volume of landslide–debris avalanches is generally huge and with high velocity, which means that they generally contain tremendous energy. Additionally, as is stated above, debris avalanches will continuously impact the substrate, thus causing a great failure of the substrate. When the substrate is loose, an intense impact can erode a rather large amount of bed materials directly, whereas when the substrate has a high density, the impact may only fragment, indirectly yielding bed materials. When the substrate fails from the impact of the following avalanche materials, it can be entrained if the shear strength of avalanche materials is larger than or equal to the resistance of the bed materials. Additionally, when the substrate is saturated, the great impact load may cause liquefaction, which can cause a decrease of resistance strength (Hungr and Evans 2004), which favors the process of basal abrasion.
Although the basal abrasion is considered much smaller than frontal entrainment by many researchers, it is rather apparent in our experiment and cannot be neglected. The thickness of the shearing moving layer is different along the accumulation section, namely, this layer is thicker near the impact zone. The reason for this phenomenon is that the depth and density as well as velocity of the debris avalanche are larger in the area close to the impact zone. As the flow moves down, it disperses and consumes energy, causing a thinner shearing layer. Our results conform to the theory of Hungr et al. (2005), which considers that the unstable depth of the substrate increases with the bulk density and thickness of the flows.
Effect of avalanche mass and substrate thickness
The physical mechanical properties of substrate materials located along the landslide path, which can be characterized by different thicknesses, control the process of entrainment together with those of the moving mass (Crosta et al. 2013; Zhou et al. 2016b). In our experiment, the effect of substrate thickness and the mass (or volume) of the debris avalanche on substrate entrainment were studied. According the experiment results, increasing avalanche mass will enhance the entrainment effect due to greater entrainment energy and longer lasting of the erosion process. Many researchers have taken substrate thickness into account when studying the entrainment effect, e.g., Mangeney et al. (2007) found that the entrained substrate materials increase with increasing erodible bed thickness. Additionally, Hungr et al. (2005) also demonstrated that the amount of materials involved in the mass flow is limited to the depth of the weak erodible layer. Furthermore, Crosta et al. (2013) observed that there is no obvious erosion depth difference for different substrate thicknesses. However, in our study, both the erosion depth and the amount of entrained materials increased with decreasing substrate thickness. Our result can be explained by the following three aspects. First, according to Dufresne (2012), increasing basal boundary roughness of the loose substrate increases the stability of force chains and substrate resistance. Increasing substrate thickness leads to a growth of the normal stress on the base of the bed materials, increasing the resistance strength and stabilizing the force chain of the substrate materials. Additionally, the deformation when the mass impact with the bed of the thicker substrate will be more spread in the form of folding, which may consume more energy of the avalanche (Crosta et al. 2013). Furthermore, thicker substrate means a decrease in kinetic energy because of less accelerating time. Although erosion depth and the materials entrained by the debris avalanche increase with increasing substrate thickness in our study, substrate thickness will increase when the debris avalanche has sufficient energy, i.e., the avalanche is supply-limited (Mangeney et al. 2010).
Previous studies have indicated that the entrainment of substrate materials along the runout path of a debris avalanche can substantially increase the volume and change characteristics of the flow. The mechanisms of entrainment are very complex that laboratory tests were conducted herein and recorded by a high-speed camera. According to the monitoring videos, the substrate materials spray intensively as soon as they are impacted, and then are continually scoured by the debris avalanche. Under the drag of the debris avalanche, a thin layer of bed materials are activated to move, and the thickness of this layer decrease along the accumulation section. Therefore, based on these observations, conclusion can be drawn that the entrainment mechanisms of the debris avalanches in our experiments include impact erosion and basal abrasion. The impact erosion of bed materials is seen to be the predominant mode of entrainment. The amount of entrained materials and maximum erosion depth increases with increasing avalanche mass. However, the erosion depth increases nonlinearly with decreasing substrate thickness.
PLu and JZ conceived and designed this study. PL, FX and TH performed the experimental tests and theoretical analyses. PL and JZ wrote the manuscript. XY provided his inputs for improving the manuscript quality. All authors read and approved the final manuscript.
This work is supported by the National Natural Science Foundation of China (41472272, 41102194), the Youth Science and Technology Fund of Sichuan Province (2016JQ0011) and the Science Foundation for Excellent Youth Scholars of Sichuan University (2013SCU04A07). Critical comments by the anonymous reviewers greatly improved the initial manuscript.
The authors declare that they have no competing interests.
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