Structural Significance of the Mid-level Décollement Within the Western Sichuan Fold-And-Thrust Belt (WSFTB), Insights From Sandbox Modeling

Sun, Chuang; Li, Zhigang; Wu, Shimin; He, Zhiyuan; Zhao, Shaotian; Wang, Panfei

doi:10.3389/feart.2021.631405

ORIGINAL RESEARCH article

Front. Earth Sci., 29 March 2021

Sec. Structural Geology and Tectonics

Volume 9 - 2021 | https://doi.org/10.3389/feart.2021.631405

This article is part of the Research Topic Active Fold-and-Thrust Belts: From Present-Day Deformation to Structural Architecture and Modelling View all 24 articles

Structural Significance of the Mid-level Décollement Within the Western Sichuan Fold-And-Thrust Belt (WSFTB), Insights From Sandbox Modeling

Chuang Sun^1,2*

Zhigang Li^1,2*

Shimin Wu^1,2

Zhiyuan He³

Shaotian Zhao¹

Panfei Wang¹

¹Guangdong Provincial Key Lab of Geodynamics and Geohazards, School of Earth Sciences and Engineering, Sun Yat-Sen University, Guangzhou, China
²Southern Marine Science and Engineering Guangdong Laboratory, Zhuhai, China
³Laboratory for Mineralogy and Petrology, Department of Geology, Ghent University, Ghent, Belgium

The WSFTB is located outboard of the eastern Tibetan Plateau, western China. It has received great attention due to high earthquake risks and rich resources of oil and gas. For both issues, the detailed structural configuration and deformation mechanism behind it are of great importance, but remain unclear due to the complexity created by the presence of multiple décollements. The effect of regionally distributed shallow Triassic salt décollement (SD) and the basal one (BD) has been well understood. In this paper, we focus on the third décollement situated between them. We conducted three sandbox experiments by varying this mid-level décollement (MD) from absence to presence, and from frictional to viscous, to test the effect on diversity of regional structural configuration. Our experimental results illustrated that 1) Absence of MD facilitated decoupling on SD, forming the greatest contrast between subsurface deformation front and the blind one beneath SD; 2) Frictional MD itself showed little decoupling, while its weakness reduced the bulk strength of deep structural level, lowering decoupling effect on SD and leading to approximating deformation fronts in the shallow and deep; 3) The viscous MD, along with SD relieved the resistance on their interbed layer. Consequently, the fastest deformation propagation rate and farthest deformation front (in all the experiments) occurred in the middle structural level. The modeled fold and thrust structures are comparable with the southern, central and northern WSFTB respectively, suggesting that varied MD may control the along-strike structural variations presented. The results also indicate that MD can alter the deformation partition in depth of any other multiple décollement system.

1. Introduction

The western Sichuan fold and thrust belt (WSFTB) extends the front of Longmen Shan mountain (Figure 1), standing as an extremely important target for oil and gas exploration, and a region of high seismicity. It is the first natural gas exploiting area in China and has long been considered a prime area for natural gas exploration owing to the presence of abundant source-reservoir-cap rocks, (e.g. Jia et al., 2006; Tang et al., 2008; Liu et al., 2012; Zou et al., 2015; Gong et al., 2015; Li et al., 2019a; Chen et al., 2019). Recently, a historic discovery was made in the northern segment of the WSFTB, a giant gas field with a maximum daily output of 220 × 10⁴ m³ was found in a blind structure named Shuangyushi. This confirms previous exploring prospects and indicates huge potential in similar structures. On the other hand, the WSFTB is still under active shortening in response to eastward growth of the Tibetan Plateau (Wang et al., 2013a; Wang et al., 2013b; Li et al., 2016; Li et al., 2017; Wang and Lin, 2017; Li et al., 2019c; Jia et al., 2020). Its deformation front (the Longquan anticline) is seismically active and may be responsible for the 1967 Ms5.5 Renshou earthquake (Wang and Lin, 2017). While in the Frontier of Longmen Shan (the transition zone between the Longmen Shan orogen and the WSFTB), several blind structures exist, these include the range front fault, (e.g. Hubbard et al., 2010; Li et al., 2014; Li et al., 2016; Li et al., 2017) and the Hongya blind fault (Wang et al., 2014a). These faults represent deformation migration in the deep, and also exert significant seismic hazards to the densely populated Chengdu Plain as illustrated by the 1970 M_s6.2 Dayi earthquake and the 2013 M_w6.6 Lushan earthquake (Li et al., 2016).

FIGURE 1

FIGURE 1. Morphological features in the western Sichuan (an oblique view). The pink lines indicated the locations of four cross sections in Figure 2, roughly. A. indicates anticline; LMS, Longmen Shan.

To assess both potential size of gas and oil reservoir and the possible maximum co-seismic rupture, an understanding of the structures bearing them (especially the structural continuity along the strike and dip) is clearly issue of significant importance. The WSFTB striking ∼500 km long in the NE-direction (Figure 1) is characterized by along-strike segmentation and decoupling in deep. In its southern segment (south of Dujiangyan), the superficial structures are isolated anticlines detached by the shallower Triassic salt décollement at the depth of ∼5 km, (e.g. Jia et al., 2003, Jia et al., 2006, Jia et al., 2010; Jin et al., 2010; Hubbard and Shaw, 2009; Hubbard et al., 2010; Lu et al., 2012, Lu et al., 2014; Li et al., 2013; Figure 2A). Deeper deformation is concentrated in the front of the Longmen Shan, but part of shortening may have propagated a little forward, resulting in the formation of blind structures (Wang et al., 2014a). In contrast, wide and gentle folds are identified in the northern segment (north of Anxian) (Figure 2C). These structures involve a much deeper structural level (>10 km in depth) and did not produce large structural relief (Jia et al., 2006; Chen et al., 2008; Jia et al., 2010; Jin et al., 2010; Wang et al., 2014b; Chen et al., 2019). Previously, they were considered as concentric folds, but new high-resolution seismic profiles suggested that except the basal décollement, deformation there was decoupled by at least another two décollements, as lots of small-scale folds have been identified solely in the middle structural level (Wang et al., 2014b; Chen et al., 2019; Figure 2D). In center segment between the Dujiangyan and Anxian, deformation is also decoupled by the Triassic salt décollement, but in a very low degree as both shallow and deep structures still focus on the front of Longmen Shan (Figure 1, Figure 2B).

FIGURE 2

FIGURE 2. (A and B) Cross sections across the southern and central segment of WSFTB (after Li, 2014). (C) Typical cross section from the northern segment of WSFTB, modified from Li. (2014) and Chen et al. (2019); (D) New obtained high-resolution seismic profile across the Guangyuan syncline from Chen et al. (2019), showing folding that confined in the middle structural level. The locations of these four profiles are indicated on Figure 1, roughly.

Within the WSFTB, several locally or regionally distributed weak rock layers like the Triassic and Cambrian salts and the Silurian shale (Figure 3), may have taken advantage to decouple the deformation and form distinct structural styles within different structural levels and along the strike as mentioned above (Cai and Liu, 1997; Jia et al., 2006; Tang et al., 2008; Jin et al., 2010; Lu et al., 2012; Li et al., 2013; Li et al., 2014; Chen et al., 2019; Figure 2). Recently, Cui et al. (2020) conducted sandbox experiments and illustrated that the Triassic salt décollement could account for nucleation of the Longquan anticline far into the Sichuan Basin. Using the same method, Fan et al. (2020) found that synchronous participation of the Triassic and Cambrian décollements provided an essential condition for the formation of blind duplex in the northern WSFTB. Their contributions confirmed that the activation of different décollements was the main reason for the presence of along-strike structural diversity. However, there lacks a comprehensive understanding of how contrast structures along the ∼500 km-long WSFTB were developed. For example, the Triassic salt décollement is evenly distributed within the western Sichuan Basin (Jia et al., 2006; Li, 2014), but it is not clear why the decoupling in its southern segment is much more outstanding. Meanwhile, factors controlling the differential deformation migration within deep structural levels (beneath the Triassic salt) are also poorly investigated.

FIGURE 3

FIGURE 3. Décollement layers in the WSFTB summarized from Chen and Wilson. (1996); Cai and Liu. (1997); Jia et al. (2006); Chen et al. (2008); Tang et al. (2008); Jin et al. (2010); Li et al. (2013); Li et al. (2014); Li et al. (2016).

Weak rock units like salt or shale, as well as the planes between sediments and base of the basin (potential décollements) stand at the forefront in controlling structural style of a fold-and-thrust belt (Davis et al., 1983; Davis and Engelder, 1985; Dahlen, 1990), and have been extensively explored by analogue and numerical modeling methods, (e.g. Cotton and Koyi, 2000; Koyi et al., 2000; Bonini, 2001; Couzens-Schultz et al., 2003; Bonini, 2007; Storti et al., 2007; Graveleau et al., 2012; Ruh et al., 2012; Feng et al., 2015; He et al., 2018; Zhang et al., 2019). These studies suggest that the resultant deformation patterns are sensitive to the rheology, thickness and strength of décollements. They also found the close relationship between along-strike structural variations and lateral changes of the décollements, as proposed for the southern belt of the Tian Shan in China (Borderie et al., 2018), the Salt Range in Pakistan (Cotton and Koyi, 2000; Borderie et al., 2018), the external zone of Gibraltar Arc between the Africa and Europe (Marı́a et al., 2003), the northern Apennines in Italy (Massoli et al., 2006) and the Zagros belt in Iran (Koyi et al., 2000; Bahroudi and Koyi, 2003; Ali and Koyi, 2014). These previous studies, however, mainly explored the cases of single or two décollements. Stratigraphy containing more than two décollements like that of the Sichuan Basin is poorly studied (Yan et al., 2016; Huang et al., 2020). Moreover, most of them only focused on the map-view structural and geomorphic changes, conditions beneath shallow décollement (important structural levels in the Sichuan Basin for petroleum resources and seismicity) received much less attention.

In this study, we conducted 2D sandbox experiments with a simplified stratigraphy of the WSFTB. We fixed basal and shallower décollement like that in Cui et al. (2020) and Fan et al. (2020), but a third one was added between them to represent the mid-level, locally distributed décollements such as the Cambrian salt or the Silurian shale (Figure 3). This is based on the structural style analysis (Figure 2) which leads us to speculate that along-strike variation of this third décollement may have played an important role in shaping current WSFTB. We varied this mid-level décollement (MD) both from absence to presence and from frictional to viscous in three experiments (Figure 4). Their results are found comparable with the southern, central and northern WSFTB respectively, which consequently confirmed our speculation about the formation of the WSFTB. Further, they also allow us to assess the role of different MDs on deformation propagation in each structural level and the activation of other décollements, which shed new light on the evolution of multiple décollement systems not only the WSFTB.

FIGURE 4

FIGURE 4. Experimental designs. The layers outlined by red are our investigated mid-level decollements. All the other boundary conditions are identical in the three experiments. SD: shallow décollement; MD: mid-level décollement; BD: basal décollement.

2. Geological Setting

The Sichuan Basin (western China) covering an area of 2.6 × 10⁵ km² is a large petroliferous basin that currently bounded by mountain belts all round. As a superimposed basin developed on a Proterozoic cratonic basement, it has experienced several episodes of extension and compression near its boundary, and has accumulated >10 km thick layer-cake stratigraphic architecture during its long evolution history. Two major stages were distinguished corresponding to the stratigraphic architecture changing from late Paleozoic to early Middle Triassic marine sequences to post Middle Triassic wedge-shaped terrestrial strata, (e.g. Li et al., 2003; Meng et al., 2005; Jia et al., 2006; Yan et al., 2011; Yan et al., 2018; Liu et al., 2020). Within this thick sedimentary cover, a large number of incomplete or weak rock units were found activated as décollement layers on outcrops and interpreted seismic profiles, for example the argillaceous siltstone of Cambrian, the black coaly shale of Silurian and the halite-salt of Triassic in marine stratum at the lower-middle structural levels, as well as the shallow-level coal and mudstone of upper Triassic and Jurassic, (e.g. Chen and Wilson, 1996; Cai and Liu, 1997; Chen et al., 2005; Jia et al., 2006; Tang et al., 2008; Jin et al., 2010; Li et al., 2010; Lu et al., 2012; Li et al., 2013; Li et al., 2014; Wang et al., 2014b; Li et al., 2016; Chen et al., 2019; Figure 3).

Décollement layers are the major paths for deformation propagation from the basin margins to its interior. Our study area (WSFTB) is adjacent to the major tectonic boundary where the Songpan-Ganzi terrane (part of current Tibetan Plateau) thrusts over the Sichuan Basin and the Longmen Shan forms (Zhao et al., 2012; Guo et al., 2013). Structurally, the WSFTB is the thin-skinned part of Longmen Shan orogen and displays strong segmentation along its strike, (e.g. Jia et al., 2006; Jin et al., 2010). Taking Dujiangyan and Anxian as the boundaries like the Longmen Shan in the hinterland, (e.g. Li et al., 2010), it can be divided into three segments. The southern-central segments are delineated by the >200 km long Longquan anticline (Figure 1) which represents the shallow deformation front of the Longmen Shan orogen (Figure 2A). Between this anticline and the foothill of the Longmen Shan, a ∼100 km wide Paleogene-Neogene basin with deposits <1000 m thick has developed. Within this restricted basin, several shallow fault-related fold structures like the Dayi and Xiongpo anticlines have emerged or are buried (Figure 2), and recent low-temperature thermochronological data suggests that they developed by an in-sequence manner above the Triassic salt décollement, (e.g. Jia et al., 2020). However, it is noted that most of the emerged structures nucleate within the southernmost segment. In the central segment (north of Dujiangyan), only the Longquan anticline show clear geomorphology. While regarding the north segment, there exist few emerged structures as the Longquan anticline has plunged before reaching Anxian (Figure 1). Except for the shallow structural variations above the Triassic salt, the subsalt deformation and its relationship with shallow structural level change along the strike as well. The southern segment with the farthest shallow deformation front has a deep deformation front restricted near the foothill of the Longmen Shan (Figure 2A). A range front ramp fault there connects the basal décollement beneath the Longmen Shan orogen with shallow décollement in the western Sichuan Basin, forming a crustal scale flat-ramp-flat structural system (Hubbard and Shaw, 2009; Hubbard et al., 2010; Li et al., 2014; Li et al., 2016). In the central segment, a structural wedge has occurred beneath the shallow splay faults (Li et al., 2010; Lu et al., 2016; Lu et al., 2018; Figure 2B). Although deformation fronts in both shallow and deep structural levels are close, they are decoupled. As to the northernmost segment, layered deformation controlled by décollements at different depth becomes more pronounced and complex (Wang et al., 2014b; Chen et al., 2019; Figure 2C), especially a series of small folds independent of regional structures have developed within the middle structural level interbedded by two décollements (Figure 2D).

Most of modern structures adjacent to our study area (especially within the Longmen Shan orogen) display rather linear and continuous geometry (Figure 1). However, evidence for along-strike variation in the tectonic evolution has been widely recognized (Jia et al., 2006; Jia et al., 2010; Jin et al., 2010; Yan et al., 2011; Yan et al., 2018), indicating that the existence of contrast stratigraphic architectures. Terrestrial strata in the shallow structural level are associated with formation of the Longmen Shan there and two major orogenic events could be identified (Burchfiel et al., 1995; Jia et al., 2006; Jia et al., 2010). The first one witnessed by wedge-shaped terrestrial clastic rocks took place in Late Triassic to Late Cretaceous times when the Songpan-Ganzi ocean basin closed (Luo and Long, 1992; Liu et al., 1996; Meng et al., 2005; Liu et al., 2012; Liu et al., 2020). It produced flexurally loaded foredeep affecting the whole western margin of the Sichuan Basin (Li et al., 2003; Jia et al., 2006). During this evolution, significant lateral migration and expansion of the foredeep (from the south to north) occurred, possibly related with clockwise rotation of the Sichuan Basin (Meng et al., 2005). The latest event is related to the India-Asia collision (Burchfiel et al., 1995; Chen and Wilson, 1996) and only very limited Cenozoic sediments were preserved in the southwest conner of the basin. Taking this nonmarine sedimentary rocks in the western Sichuan Basin as a whole, their thickness is relatively small (maximum thickness in foothill of the Longmen Shan, ∼5 km). Weak rock units therein only show decupling locally in the mountainous area (Tang et al., 2008). Therefore, their deformation style and the along-strike difference are probably more controlled by behaviors of the Triassic salt and marine strata beneath (Figure 2).

With regard to the marine strata in middle-deep structural levels, several intracratonic sags and palaeo-uplifts of different ages were developed beneath the Triassic salt (Liu et al., 2020 and references therein). The sags occurred in the central-northern segments of the western Sichuan Basin, while the uplifts nucleated in the southern-central segments (Figure 14 in Liu et al., 2020). They all orient at high angles to modern Longmen Shan orogen and may have greatly affected stratigraphic architectures, thus contribute to along-strike variation of weak rock distribution. Coincidentally, deformation complexity beneath the Triassic salt also varies, with weak rock units showing different degrees of decoupling along strike of the WSFTB (Figures 2, 3). Therefore, we speculate that the potential décollement layers and their along-strike changes (in this marine strata) have played important roles during the deformation. Moreover, considering the Triassic salt extends steadily beneath the western Sichuan Basin, we also suggest that the middle-level décollement may have not only affected the middle-deep structural deformation, but controlled the shallow deformation as well.

3. Analogue Modeling

3.1 Modeling Setup

Our experimental apparatus is a 100 cm-long, 30 cm-wide glass-sided box with a horizontal PVC base. Backstop in the left connects with computer-controlled motor that provides shortening for the models, while the right side is fixed (Figure 4).

Analogue of stratum in the Western Sichuan Basin is carefully designed and installed in the sandbox. In all our experiments, one basal frictional décollement (BD) and one shallow viscous décollement (SD) are introduced constantly at the same structural levels, simulating the décollement between sedimentary cover and the basement of Sichuan Basin and the regional distribution of Triassic salt décollement, respectively (Figure 3). A third décollement has been inserted between the shallower and basal ones (Figure 4). The rheology of this middle-level décollement is the only variable. We alter it from absence (no weak materials added as a middle-level décollement in Exp. M1, Figure 4A) to presence (frictional middle-level décollement in Exp. M2 (Figure 4B) and viscous middle-level décollement in Exp. M3 (Figure 4C). The latter two are representatives of the Silurian shale and Cambrian salt, respectively (Figure 3), or other locally distributed décollements at similar structural level.

3.2 Modeling Materials

Like many previous sandbox modeling studies, (e.g. Weijermars et al., 1993; Cotton and Koyi, 2000; Bahroudi and Koyi, 2003; Nilforoushan et al., 2008; Wu et al., 2014; Sun et al., 2016, Sun et al., 2019; Yan et al., 2016; He et al., 2018; Cui et al., 2020; Fan et al., 2020), we use dry quartz sand, glass microbeads and viscous silicone polymer to build rheologically analogous stratum of the Sichuan Basin.

The first two materials deform in a brittle manner and obey the Coulomb failure criterion, thus are suitable representatives for the brittle crustal rock (Colletta et al., 1991; Lohrmann et al., 2003; Panien et al., 2006; Ritter et al., 2016). In our experiments, sieved quartz sand (grain size of 0.2–0.4 mm) serves as principal part of model stratum, simulating competent rock units in the WSFTB. The sand pile has an internal friction of around 0.7, a cohesive strength of ∼150 Pa and a bulk density of ∼1400 kg/m³. Layers of glass microbeads are introduced as brittle frictional décollements (normal pressured shale or mudstone, coal layer or the plane between sediments and the basement), because they have a lower frictional strength (approximately 0.4) than dry quartz sand and are able to slip easily due to their spherical shapes (Krantz, 1991; Klinkmüller et al., 2016). The used glass microbeads are cohesiveless and have a mean diameter of 0.3 mm with a density of ∼1000 kg/m³. We choose Newtonian silicone polymer to simulate viscous detachments like overpressured shale, salt and gypsum, (e.g. Borderie et al., 2018; Wang et al., 2019). Because at typical laboratory strain rates, the rheological characteristics of silicone putty are consistent with the salt rock at geological strain rate (Weijermars and Schmeling, 1986; Weijermars et al., 1993; Reber et al., 2020). The density of the silicone putty used here is ∼1000 kg/m³ and the viscosity is about 10⁴ Pa.s at room temperature (24°C).

3.3 Scaling

Reasonable models should be properly scaled with nature in geometry, kinematics, and dynamics (Weijermars and Schmeling, 1986). Mechanical properties of used materials and their ratios to the prototype determine the finally length and kinematic scales, (e.g. Ritter et al., 2016). For the brittle deformation, the Smoluchowsky number (S_m, Ramberg, 1981) is a commonly used benchmark, which is defined by the ratio of the gravitational force $(σ = ρ g h)$ to the frictional force $(τ = μ σ + C)$ , where μ and $∁$ are friction coefficient and the cohesion. Dynamic similarity is achieved when this ratio is of the same order in nature and the sandbox. Because the friction coefficient of sand and real brittle rocks is similar (Colletta et al., 1991; Lohrmann et al., 2003), a simplified length ratio $(\frac{h_{m}}{h_{n}} = \frac{∁_{m} ρ_{n}}{∁_{n} ρ_{m}})$ is therefore obtained. Taking mechanical properties listed in Table 1, it is calculated to be ∼2.5 × 10^–6. As a result, 1 cm in our sandbox represents 4 km in nature.

TABLE 1

TABLE 1. Material properties and scaling parameters between model and nature.

As for the time-dependence viscous deformation, we use the Ramberg number (R_m, Weijermars and Schmeling, 1986) that represents the ratio of gravitational to viscous forces: $R_{m} = \frac{σ}{τ} = \frac{ρ g l}{η ε}$ . Assuming that simple shear dominates within the viscous layer, $τ$ here can be transferred as $τ = η ε = η \frac{v}{l}$ . This gives the velocity ratio as $\frac{v_{m}}{v_{n}} = \frac{ρ_{m} l_{m}^{2} η_{n}}{ρ_{n} l_{n}^{2} η_{m}}$ . Based on materials properties (Table 1), GPS velocity of 4 ± 2 mm/yr (Zhang et al., 2004; Gan et al., 2007) and the same length scale as the brittle deformation, we calculate the experimental shortening rate as ∼10⁻⁴ mm/s. However, this value is too small to be carried out in the experimental platform. We therefore apply a shortening rate of 0.005 mm/s instead to all the present experiments.

3.4 Construction

After cleaning the sandbox with alcohol solution and drying, we first deposit a 3 mm-thick glass microbeads layer in the sandbox as the basal décollement (BD). Then, layers of quartz sand are sieved to build competent rock units from a constant height of 40 cm (to ensure the homogeneity of resultant sand piles). The used color sand has the same mechanical property as the white sand, they just act as passive markers to identify the ongoing deformation. When introducing the shallower décollement (SD, 5 mm thick), a 15 cm-long gap is left between the mobile backstop and pinch-out of the décollement. This design allows the formation of a thrust wedge like the Longmen Shan orogen before deformation reaches the basin area (Sun et al., 2016; Cui et al., 2020; Fan et al., 2020). Notably, the MDs in Exp. M2 and Exp. M3 cover the same region as the SD (Figures 4B,C), with a fixed thickness of 3 mm (Figure 4D). The total thickness in all experiments is identical, at 4 cm. According to the length scale ratio, it corresponds to 16 km in nature.

We stress that all décollements in the experiments are chosen as 3 mm-thick artificially (that is 1200 m in nature, thicker than their prototypes), as thinner layers are difficult to deposit. The depth of corresponding décollement is also forced at the same level for all the three experiments for simplification.

4. Results

In this section, we describe the cross-sectional evolution of our experiments to show how differential deformation is induced by the investigated MDs.

4.1 Experiment M1: No Middle-Level Décollement

There were two décollements in this experiment, including the basal one covering the whole sandbox and the shallower one distributed only in the foreland (Figure 4A), while no MD was considered. Experimental shortening induced deformation ahead of the moving backstop immediately. During the first 78 mm of shortening, two in-sequence thrusts (F1 and F2) nucleated and emerged (Figures 5A–C), as there was no shallow décollement within the involved sand pile yet. They both dipped at ∼35° in their initial stage. During successive shortening, the two faults progressively stacked against the backstop. At 120 mm of regional shortening, deformation was propagated forward and began to affect the foreland area where shallow viscous décollement was situated (Figure 5D). In response, two new structures, namely the deep thrust F3 and the shallow fold S1 formed. They were separated by the SD. The blind thrust F3 displayed an gentle initial dip angle at ∼20°. It merged into the SD and continued taking up the experimental shortening and transferred displacement to the shallower level. During this stage, deformation propagated only in the shallow level with the nucleation of detachment folds S2 and S3 (Figures 5D–F). The space between S2 and S3 was ∼10 cm, smaller than that of F3, ∼16 cm. Once the shortening reached 258 mm, another blind thrust F4 was developed in the deep structural level (Figure 5G). The deep deformation front stepped out at a distance of ∼24 cm. After that, F4 and its conjugated fault F5 nucleated and became the major structure that accommodated the regional shortening (Figures 5G–J), similar to the role of F3 during previous stages (Figures 5D–F). While in the shallow level, a total of four detachment folds (S4–S7) occurred, representing another period of rapid shallower deformation propagation. This experiment finally ended up with a total shortening of 400 mm (Figure 5J). At the latest stage, another deep thrust F6 was generated ∼30 cm away from F5, following the appearance of a low-amplitude fold geometry beneath S5 and S6. The fault space in deep structural level increased with their sequence. In contrast, the shallow ones remained similar, in the range of 6–10 cm. Vergence of these shallow folds were random, consistent with Davis and Engelder. (1985)’s prediction about fold-and-thrust belts over salt décollement.

FIGURE 5

FIGURE 5. Evolutionary stages of Exp. M1 that contains no MD. The yellow dash line outlines the viscous SD. On the base of the model, a frictional BD was also added. Uppercase letters S and F are used to indicate Folds involving the shallow structural level (above the SD) only and thrusts nucleated from the basal décollement. (A–C) early stages before the SD was affected by shortening; Experimental shortening produced a thrust wedge against the mobile backstop (not shown here). (D–J) Deformation started its propagation within the shallow and deep structural levels (separated by SD), respectively. A fast, in-sequence development of shallower folds occurred synchronous with deep faulting. Shortening in deep was localized in fewer faults in comparison to the shallow, resulting in a delay in the migration of the deep deformation front toward the foreland.

Overall, this experimental model run without MD displayed fast, shallow propagation of deformation toward the foreland, and episodic step of deep deformation front in the deep.

4.2 Experiment M2: Frictional Middle-Level Décollement

In contrast with Exp. M1 that had no MD, a middle-level layer of glass microbeads was added in this experiment (Figure 4B). This was simulating the potential MD consisting of shales or coal bed in the center WSFTB (Figure 3). The initial deformation still took place by in-sequence nucleation of closely space (1–2 cm) thrusts against the moving backstop (Figures 6A–C), but four faults (F1–F4) had formed before SD in the foreland was involved, which were double of those in Exp. M1 at the same stage (Figure 5C). They showed an average dip angle of ∼33°, and were counterclockwise rotated in the following shortening. When the fifth thrust F5 showed up beneath the SD, a shallower backthrust-dominated fold S1 also emerged. They together with the imbricate fan containing F1–F4 made up a passive roof duplex (Figure 6C). Interestingly, the dip angle of F5 was just ∼20°.

FIGURE 6

FIGURE 6. Evolutionary stages of Exp. M2 that has a frictional MD (outlined by green line). The yellow dash line outlines the viscous SD. A frictional BD was also added on the base of the model. Uppercase letters S and F are used to represent folds involving the shallow structural level (above the SD) only and thrusts nucleated from the basal décollement. (A–B) initial stacking of small thrust slices in the right; (C–E) deformation started to affect the shallow structural level (above the SD). Synchronously, small thrusts F6–7 nucleated beneath the SD; (F–J) Asynchronous deformation propagation in the shallow and deeper structural levels. The deeper faults in these stages showed much large spaces than the former stages.

As experimental shortening continued, both the deep and shallower deformation fronts propagated toward the foreland (Figures 6C–E). But the rate of propagation of the shallower system was faster than the deeper system. Moreover, we noted that the propagation rate of the deep deformation was also lower than its counterpart in Exp. M1 after the deformation reached the multiple layered pile, as it progressed in the form of small blind thrusts F6–F8 (Figure 6E). When the shortening amounted to 234 mm, the first long (∼18 cm) thrust sheet F9 came out beneath the SD, which helped the deep deformation front catch up with the shallower one (Figure 6F). Notably, during the same period, strong vertical stacking of thrust sheets was in progress near the moving backstop. With continuous shortening, thrust F8 in the hinterland then truncated the roof sequence of the duplex and emerged in the high-relief slope (Figure 6G). This fault along with another out-of-sequence fault F10 and F9 in the foreland acted as major shortening absorbers and caused structural thickening nearby. During the same period, part of shortening was transferred to the shallow level, promoting the occurrence of S5 and S6 there (Figures 6H,I).

When shortening came to 378 mm, another blind thrust F11 nucleated ∼24 cm away from F9, with the previous shallower detachment fold S6 located in its backlimb (Figure 6I). From then till the end of 400 mm shortening, the whole foreland shallower level (above the SD) was progressively detached from the deeper on the shallow décollement. This resulted in rapid flow of the viscous material of SD into a weakly folding structure S6 in the foreland (Figures 6H–J). The space between shallow folds was random, due to the distortion from formation of deeper structures.

4.3 Experiment M3: Viscous Middle-Level Décollement

A viscous MD analogue to viscous décollement like salt or overpressured shale, was introduced in this experiment (Figure 4C), at the same depth as the frictional décollement in Exp. M2 (Figure 4B). While the initial deformation was more similar to Exp. M1 that had no MD (Figures 6A–C), with in-sequence formation of two thrusts F1 and F2 during the first 45 mm of shortening (Figures 7A,B). They both dipped at ∼33°. Once the shortening reached 75 mm, deformation came to the foreland multiple décollement system (Figure 7C). The third thrust F3 was developed and a small shallower fold S1 also nucleated from the SD. The dip angle of F3 was also ∼20°, similar to its counterparts F3 in Exp. M1 and F5 in Exp. M2. As experimental shortening continued, an out-of-sequence fault F4 emerged in the hanging wall of F3 (Figure 7D).

FIGURE 7

FIGURE 7. Evolutionary stages of Exp. M3 that includes a viscous MD (marked by yellow dash line, the same as the SD above). Uppercase letters S and F indicate Folds involving the shallow structural level (above the SD) only and thrusts nucleated from the basal décollement. Lowercase letter f is used to label faults limited in the middle level (between SD and MD). (A–C) Thrust stacking stages before SD in the foreland were involved by shortening; (D–J) Layered deformation within the foreland multiple décollements system. Notably, the mid-level folding affected most of the foreland area very quickly, from (D) to (E) with ∼45 mm of shortening. This fast deformation propagation toward the foreland controlled the styles of successive deformation in both the shallow and deep levels. See the text for details.

When the experimental shortening reached 168 mm, most of the intermediate level (between the SD and MD) was affected by long-wave (∼8 cm) folding (Figure 7E). The amplitude of these folds decreased from ∼2 cm (beneath S4) toward the foreland. Regarding the right fixed backstop, folding of the sand layer was already too small to be identified. At the same time, a wedge-front syncline bounded by S1 and newly formed S2 developed in the shallow level, synchronously with nucleation of blind F5 near the pinch out of MD. With continued shortening, the amplitude of folds detaching on the intermediate level increased (Figures 7F–I), and the fold geometry also evolved from symmetry to asymmetry with the forelimb overturned progressively. At the shortening of 211.5 mm, 307.5 mm and 358.5 mm, three thrusts f1, f2 and f3 hve nucleated in-sequence and truncated forelimbs of the associated intermediate folds respectively. Synchronous with folding and contraction at the middle structural level, the shallow level was also folded. Uplift caused by folding beneath the SD had driven flow of the viscous materials and produced another five shallower structures, S3–S8 (Figures 7E–J). However, they were generated under the influence of deeper deformation, which did not obey an in-sequence manner. In contrast to both shallow and intermediate structural levels, deformation in the deep level highly focused on the hinterland. Five closely spaced thrusts F6–F10 had stacked there, forming blind imbricates that merged into the MD. By the end of 400 mm experimental shortening, no long thrust sheets like F4 in Exp. M1 (Figure 5G) and F9 in Exp. M2 (Figure 6I) have ever developed in this experiment.

5. Discussion

5.1 Effect of MDs on Lateral Deformation Propagation

The three experiments we described illustrate that the response of foreland multiple layered system (like the western Sichuan Basin) to regional shortening relies heavily on the MDs. The presence or absence of MD will lead to significant difference in lateral propagation of deformation at each structural level, thus control the resultant structural styles. We measured the width of the deforming zone at the shallow/intermediated/deep structural levels (separated by the SD and MD, or situated at the corresponding depth when MD was absent in Exp. M1), and obtained three lateral growth curves for each experiment at the same levels (Figure 8). Approximating curves in one experiment suggested that deformation within the corresponding structural levels were coupled. While a greater difference on them indicated a stronger decoupling effect. They thus help to quantitatively constrain the differences in modeled deformation.

FIGURE 8

FIGURE 8. Width curves of deforming zones in the three sandbox experiments. Each experiment has three curves to illustrate the difference in foreland-ward deformation propagation at different structural levels separated by the SD and MD. Approximating curves in one model indicate coupling between them. Otherwise, decouple occurred.

In Exp. M1, there is no MD in the foreland multiple layered system (Figure 5A). The intermediate-deep structural levels are therefore coupled during the whole evolution. Longer, blind thrust sheets with the boundary faults cutting both levels occurred (Figures 5D–J), resulting in episodic propagation of deformation toward the foreland (black sawtooth-type growth curves with circles and triangles in Figure 8). The small difference between lateral growth curves of the intermediate-deep levels is a result of the dip geometry of the deformation front (fore-thrusts). As the shallower structural level above the SD only involved a thin layer (Figures 4, 5), its deformation front stepped toward the foreland rapidly, but with a limited step width each time. Consequently, the growth curve (marked by rhombus) is relatively smooth, in contrast to the intermediate-deep levels.

A brittle frictional MD has been introduced in our Exp. M2 (Figure 6A). However, we note that during most of stages (before 330 mm of shortening), the intermediate-deep levels did not experience effective decoupling. The growth curves of them (light blue lines with circles and triangles in Figure 8) were comparable with their counterparts in Exp. M1 which lacked an MD. Only in the latest stage (after 330 mm of shortening), a differentiation between curves of intermediated and deep levels occurred, which reflected the initiation of slip or called detachment along the brittle MD. Wang et al. (2013c) proposed that a similar interbedded frictional décollement can only be activated when enough vertical loading (syn-tectonic sedimentation in their sandbox experiments) was added. In our experiment M2, a similar process took place with the increased topographic relief, playing the same role as that of syn-tectonic sedimentation in Wang et al. (2013c).

Notably, all growth curves from the Exp. M2 (at each depth, including the shallow level) were similar to, but located below their counterparts in the Exp. M1 (black vs. light blue lines in Figure 8). As predicted by the critical taper theory, a thrust wedge composed of weaker materials would have a larger critically tapered angle under which forelandward deformation propagation can be motivated, (e.g. Davis et al., 1983; Dahlen, 1990). The introduction of a frictional MD in Exp. M2 reduced the strength of foreland multiple layered system. Thus, more structural relief (additional stacking of small slice, F6–F7 in Figures 6C–E) than Exp. M1 was required to achieve the larger taper. This has resulted in the lower rates of lateral growth we observed.

In our third experiment M3, a viscous MD was added (Figure 7A). This led to an extremely weak multi-décollement foreland basin system that effectively decoupled along the SD and MD. The deformation propagation toward the foreland at its shallow (red line with rhombuses Figure 8) approximated to that in Exp. M1 and Exp. M2. However, the viscous décollements above and below the intermediate layer were too weak, their resistance to outward deformation propagation was therefore quite small. Thus, after the arrival of experimental compression, the deformation affected most of this intermediated layer rapidly by long-wave gentle folding (Figures 7E–J). This gave rise to a sudden forelandward shift in deformation at 168 mm of shortening, characterized by a steep ramp on the growth curve (red line with circles Figure 8). After that, the intermediated deforming zone became significantly wider than both the shallow and deep levels, indicating its leading role in deformation of the distal foreland. With regard to the deep structural level, formation of closely spaced thrusts (Figure 7) exhibited a smooth growth curve (red line with triangles Figure 8). We propose that earlier deformation within its overlying levels increased the loading on it and suppressed its further forelandward deformation migration.

5.2 Comparison With the WSFTB

There is no doubt that the presence of décollements controlled the first-order style of the WSFTB. Their role in shaping fold-and-thrust belt ahead of the Longmen Shan has been tested by both physical and numerical modeling (Zhang et al., 2019; Cui et al., 2020; Fan et al., 2020), as well as by analytical solution (Hubbard et al., 2010; Zhang et al., 2018). One remarkable phenomenon associated with the décollements is the nucleation of Longquan anticline that extends far into the basin (Figure 1). Using sandbox modeling, Cui et al. (2020) showed that weakness of the shallow salt décollement was the dominant factor for the observed fast and further deformation propagation as indicated by the Longquan anticline. However, a problem emerged here about the contrast structural style in the northern segment where the Triassic salt layer exist as well (Figure 2A vs. Figure 2C). Why does this segment display different deformation style?

The WSFTB was developed based upon a multiple décollement system (Figures 2, 3). Through the sandbox experiments in this study, we have illustrated that the mid-level décollement played an important role in determining the deformation mode of a thrust and fold belt. Furthermore, in the WSFTB, except for two regionally distributed décollements (the basal one at the bottom of the basin and the shallow one in the Triassic evaporite rocks), several local décollements have also participated in the deformation as identified from both field outcrops and seismic profiles, (e.g. Cai and Liu, 1997; Jia et al., 2006; Tang et al., 2008; Jia et al., 2010; Jin et al., 2010; Li et al., 2010; Lu et al., 2012; Wang et al., 2014b; Lu et al., 2016; Lu et al., 2018; Chen et al., 2019; Wang et al., 2020, summarized in Figure 3). Among them, the Silurian shale from the central-northern WSFTB and the Cambrian salt/mudstone in the northern segment are two representatives in a middle structural level similar to our investigated MDs.

Based on the comparison between our experiments and the typical cross sections, we infer that lateral change in the MDs is the main reason for the observed structural variations along the strike of WSFTB (Figure 9). As shown by Exp. M1, experimental shortening would be transferred directly through ramp structures that connect the basal and shallow décollements if there was no MD (Figure 5). A pronounced shallow folding belt would then form ahead of the ramp before the occurrence of outward-step deformation in the deep level (nucleation of another deep ramp structure) (Figures 5F,J). Such a contrast mode of deformation localization in the vertical direction is also a characteristic of the southern WSFTB (Figure 2A). Meanwhile the shallow folds like S5–S7 in Exp. M1 (Figure 5J) are comparable to the Dayi, Xiongpo and Longquan structures that make up the southern WSFTB as well. Therefore, except for the Triassic salt décollement and the basal décollements, there may exist no other active regional detachment beneath the southern WSFTB (Figure 9). This speculation seems to be supported by the discovery that the southern WSFTB was dominated by a palaeo-uplift context before the Triassic, (e.g., Wei et al., 2008; Liu et al., 2020).

FIGURE 9

FIGURE 9. 3D diagram showing how different MDs contribute to structural diversity along the strike of WSFTB. The absence of MD in the south, presence of brittle shale MD in central WSFTB and viscous salt MD in the northmost can explain the observed first-order structural differences. Notably, the possible variations of décollements thickness and their depth have not been constrained here.

As to the central-northern WSFTB, the deep and shallow deformation fronts are weakly decupled and situated roughly at the same location, both are near the foothill of the Longmen Shan (Figure 2B). This is coherent with some scenarios presented in our Exp. M2 that contains a frictional MD (Figures 6F–H). Some studies based on field outcrop found local detachment along the Longmaxi formation Shale, (e.g. Tang et al., 2008). As shown by Exp. M2, such limited detachment occurred within the frictional décollement layer when its overriding topography is enough (Figure 8). Although decoupling effect of the frictional MD is rather weak, the weakness introduced by it has weakened the bulk strength of the associated structural levels. The weakened horizontal rock units would not sustain too large stress and propagate deformation too far (Figure 6). Thus, more deformation (in the form of thrust stacking) had been localized near the hinterland part of the multiple décollement system, which restricted the shortening being transferred to the shallow décollement and in turn reduced the ability of outward deformation migration. Consequently, the Silurian shale here should control structural pattern in the central-northern WSFTB by weakening the rock units beneath the Triassic salt instead of being activated directly (Figure 9).

In the case of northernmost WSFTB, long-wave, low-amplitude folds occur and dominate the subsurface level (Figure 2C). They were previously considered as concentric folds. However, new higher-resolution seismic profiles revealed strongly decoupling signs as numerous small folding traces were found confined only within the mid-level unit, (e.g. Wang et al., 2014b; Chen et al., 2019; Figure 2D). Such a special structural feature is now well reproduced in our Exp. M3, which has taken a viscous MD into account (for example the area marked by blue rectangle in Figure 7H). During this experiment, the structural level interbedded between the SD and MD experienced a totally different deformation style with related to its above and below levels. When compression started to affect the foreland multiple layered system, deformation propagation first took place within this level through buckling (or low-amplitude folding) that involved the whole foreland area rapidly (Figures 7D,E). With the increase of experimental shortening, the folds near the hinterland amplified progressively, their forelimbs were overturned and finally truncated by late-formed forethrusts (Figures 7E–J). While deformation in both shallow and deep levels were lagging seriously. They (especially the deep structures) would probably overprint and complicate the deformation styles in the mid-level during later evolutionary stages, as observed in the northern WSFTB (Figures 2C,D, Figure 9).

5.3 Implications for Seismicity and Petroleum in the WSFTB

The structural similarities between our experiments and the WSFTB are helpful to understand the distribution of regional seismicity. In the south-central segments of this belt, the shallow deforming belt extends to the Longquan anticline, involving several other anticlines such as the Dayi and Xiongpo (Figure 1, Figures 2A,B). All these structures are active, undergoing shortening at a rate of 0.2–0.4 mm/y (Li et al., 2019c). They may have borne earthquakes like the 1976 M_s5.5 Renshou event in the Longquan anticline (Wang and Lin, 2017). In the deep (beneath the Triassic salt), however, the deformation front should still locate near the mountain-basin boundary where the 2008 M_w7.8 Wenchuan earthquake and 2013 M_w6.6 Lushan earthquake occurred. The strength of sub-salt units maybe one important factor contributing to such mode of deformation localization. As shown in our modeling, both the flat-ramp-flat system in the south segment (Hubbard et al., 2010; Li et al., 2017; Figure 2A) and structural wedge in the central segment (Li et al., 2014; Lu et al., 2017; Figure 2B) are indications for lack of regional weak units (like salt rock) in the deep.

With regard to the northmost segment of WSFTB, the deformation has been partitioned into shallow, middle and deep levels that were separated by two viscous décollements (Wang et al., 2014b; Chen et al., 2019; Figures 2C,D). According to our modeling, the middle-level folding and thrusting should play a key role when the multiple layered foreland system is affected (Figures 7D,E). The deformation within the middle level accumulates, uplifts the detached shallow level passively, and exerts more and more loading toward the deep (Figures 7D–J). This suppresses forward deformation propagation in the deep and would concentrate shortening within the blind imbricates (Figure 7J), which largely account for the 2017 M_s5.4 Qiangchuan earthquake in the northern WSFTB occurring at a depth of ∼13 km (Li et al., 2019b).

On the other hand, the northern WSFTB has received great attention due to giant gas discovery in the middle-structural-level, upper Paleozoic carbonate rocks, (e.g. Yang et al., 2018; Liang et al., 2019). Through our modeling, we infer that this reservoir stratum may have produced duplex near the mountain front (Figure 7). Therefore, apart from “lateral” exploration, the prospect for deeper expedition is also appreciable.

5.4 Implications for Other Fold-And-Thrust Belts (FTBs)

Our experiments have produced structural styles resembling with the WSFTB, but some features are also comparable with those of several other natural FTBs. Taking Exp. M1 as an example, its shallow level deformation is characterized by decupling along the viscous SD. A foreland deforming belt that is much wider than the deeper level one formed (Figures 5, 8). This is comparable with several famous thin-skinned FTBs that involve dozens or hundreds of kilometers wide deforming zone over an undeformed basement, for instance the Potwar-Salt Range belt in Pakistan (Jaumé and Lillie, 1988; Ghani et al., 2018; Figure 10A), the Jura foreland belt in Swiss (Sommaruga, 1999; Affolter and Gratier, 2004; Figure 10B) and the Appalachian Plateau belt in NE United States (Sak et al., 2012; Mount, 2014; Figure 10C). There is no doubt that the presence of weak salt décollement has defined a small critical taper angle (≤1°) for these deformed belts (Davis et al., 1983; Davis and Engelder, 1985), which results in fast forward deformation migration. However, except for the surface processes (sedimentation and erosion) and other common factors that can affect deformation migration (see Graveleau et al. (2012) for a review), another important issue should be carefully considered. All these belts are in front part of an orogeny where sedimentary cover is just several kilometers thick. In general, there is only one activated décollement that locates on top of the basement (Figures 10A,B) or carbonate rocks (Figure 10C), with relatively higher strength compared with shallow clastic rocks. Formation of such remarkable thin-skinned deforming belts seem to require that the sub-salt unit is relatively strong, with limited regional weak strata (potential MD). Our modeling does support this, for if there is either frictional MD (Exp.M2, Figure 6) or viscous MD (Exp.M3, Figure 7), the foreland shallow deforming zone would more or less reduce compared with the situation when MD is absent (Exp.M1, Figures 5, 9).

FIGURE 10

FIGURE 10. Typical cross sections of (A) The Patowar-Salt Rangle FTB in Pakistan (after Jaumé and Lillie, 1988); (B) The central Jura belt in Swiss (Affolter and Gratier, 2004); (C) The central Appalachian FTB in Pennsylvania, eastern United States (Sak et al., 2012); (D) The eastern Sichuan fold belt in China (Gu et al., 2021); Yellow color indicates the involved salt (evaporites) décollements. Other colors are used to show deformation only, not represent specail strata unless being labbed.

The difference in deformation associated with Exp. M1 (no MD) and Exp. M2 (frictional MD) lies in the strength of imposed MD and their spatial distribution (thickness, depth etc.). In natural cases, they may be hard to distinguish. While Exp. M3 can be treated as the end-member case in which the viscous MD has the strongest influence on the resultant structural style. In this experiment, the middle level was interbedded by double viscous décollements and has experienced faster deformation propagation than the shallow and deep ones (Figure 7). This exhibits a phenomenon that is also well documented in the eastern Sichuan fold belt where deformation is mainly focused in the middle structural levels with clear intensity decrease from the east Sichuan to its center (Figure 10D).

6. Conclusion

Motivated by contrast structural styles in the middle structural level of the WSFTB (Figure 2), we have conducted sandbox experiments varying the mid-level décollement but fixing basal and shallow décollements to test how the difference in mid-level décollement controls the resultant structural styles of a multiple layered foreland system. Our experiments have produced comparable structural styles with those in the WSFTB, indicating that mid-level décollements are major factor controlling the observed along-strike segmentation.

1) Effective decoupling between the shallow and deep structural levels and the pronounced shallow folding belt in the southern WSFTB require a rather uniform unit beneath the Triassic salt decollement (no regionally distributed mid-level décollement).

2) Frictional mid-level décollement (the Silurian shale) in central-northern WSFTB has weakened the bulk strength of deep structural levels, which limits the deformation fronts of both shallow and deep structural levels in the mountain front.

3) In the north WSFTB, fast forelandward deformation propagation in the middle structural level (interbedded between two viscous décollements) controls the deformation above and below. Mountain front duplex within the middle level has good prospects for gas exploration, as regional reservoir stratum involved.

Our experimental results also provide interesting insights for several other fold-and-thrust belt:

4) In addition to a salt décollement, the pronounced thin-skinned deforming zone of Jura belt in Swiss, the Appalachian belt in NE United States and the Potwar-Salt Range belt in Pakistan also benefit from a relatively strong subsalt unit (without regional weak rocks, like salt).

5) Deformation front in shallow structural level is not always located further forward than the deeper one. Double viscous décollements can give birth to a fast-growing middle-level deforming zone like the eastern Sichuan fold belt, China.

Data Availability Statement

The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.

Author Contributions

CS: Conceptualization, Methodology, Investigation, Writing—original draft, Project administration, acquisition, Supervision, Resources. ZL: Conceptualization, Writing—review and editing, Project administration, Funding acquisition, Resources. SW: Conceptualization, Methodology, Writing—review and editing, Supervision. ZH: Conceptualization, Methodology, Writing—review and editing, SZ and PW : Methodology, Investigation, Visualization.

Funding

This work was jointly supported by the National Natural Science Foundation of China (41902201, 41590861, 41772209), the Second Tibetan Plateau Scientific Expedition and Research Program (STEP)(2019QZKK0901) and Guangdong Province Introduced Innovative R and D Team of Geological Processes and Natural Disasters around the South China Sea (2016ZT06N331).

Conflict of Interest

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

Acknowledgments

We would like to express our gratitude to two reviewers for their helpful comments, which significantly improved the manuscript.

References

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