# Effect of Tailings Fine Content on the Properties of Cemented Paste Backfill from the Perspective Packing Density

Authors: Haijun Wang; Xiaogang Sun; Jianwen Wang; Yun Duan; Changsuo Zhang; Jingping Qiu; Zhenbang Guo
Journal: Advances in Civil Engineering
 (2021)

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## Abstract

In order to quantitatively study the influence of tailings fine content on the properties of cemented paste backfill (CPB) and further understand the mechanism of tailings fine content acting, the concept of packing density was introduced in this study. The packing density of each tailings sample was measured by the wet packing method after the samples with various fine contents were prepared. Moreover, CPBs with different tailings fine contents were tested by the mini slump test, rheological test, uniaxial compressive strength (UCS) test, and mercury intrusion porosimetry test. The results demonstrated that the flow spread and UCS both increase first and then decrease with the increase of tailings fine content, while the yield stress shows an opposite trend. The fine content of tailings affects the flowability of fresh CPB mainly through the packing density. When the fine content is high, the influence of the specific surface area of tailings cannot be ignored. The packing density is an important factor affecting the strength of CPB, and there is an obvious linear relationship between the packing density and UCS. The pore structure of CPB samples with different tailing fine contents is significantly different, and the macroscopic packing density changes the strength of CPB by affecting the microscopic pores.


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## Body

## 1. Introduction

Mining activities will inevitably have adverse effects on the environment, such as the generation of solid wastes (tailings and coal gangue) and geological disasters such as surface collapse and dam failure of tailings ponds [1–5]. Cemented paste backfill (CPB) technology has become one of the most effective methods to solve these problems in underground mining [6–9]. Its advantages include effective utilization of tailings waste, thus reducing the tailings disposal on the surface, alleviating the surface subsidence during underground mining, and reducing ore loss and dilution [10–12]. CPB is generally composed of tailings, cementitious materials, and mixing water [13–15]. The cementitious material is generally ordinary Portland cement (OPC), which aims to make CPB gain strength to support the surface after a certain curing age [16–19]. Since the backfill cost mainly comes from cementitious materials, it has become a trend to mix OPC with solid wastes such as blast furnace slag and fly ash [20–27]. The solid content of CPB slurry is generally 70–85%, so as to achieve the desired consistency and make the slurry transported to the stope smoothly [28–30].It is worth noting that tailings are the main components of the CPB, accounting for more than 66% of the mass [31]. This means that the properties of tailings cannot be ignored for CPB. Xiapeng et al. [32] studied the effect of initial sulphate content on the rheological properties of CPB. They found that with the increase of initial sulphate concentration, the yield stress decreases continuously, but the apparent viscosity shows an opposite trend. Li and Fall [33] explored the effect of the sulphate effect on the early strength of CPB. They reported that sulphate is not conducive to the increase of CPB strength in the early age. Fall et al. [2] concluded that the increase of tailings density will lead to the increase of cementitious material consumption, so it is beneficial to the increase of CPB strength. Qi et al. [34] predicted the uniaxial compressive strength (UCS) of CPB by using the coupling model of boosted regression trees (BRT) and particle swarm optimization (PSO) and carried out sensitivity analysis on the influencing factors of the UCS. They believed that the influence of chemical composition of tailings cannot be ignored.In addition to sulphate content and density, tailings particle size is also an important factor affecting CPB properties. Ke et al. [35] studied the effect of tailings fineness on the development of pore structure of CPB. The results show that the critical pore diameter and large pores decreased with the increase of tailings fineness. Deng et al. [36] observed that the CPB samples with finer particle sizes display a higher yield stress compared to the samples with coarser tailings particle sizes. On the basis of laboratory experiments and numerical simulation, Yang et al. believes that the cemented superfine unclassified tailings backfill prepared by reasonable mix proportion can achieve the function of subsidence control [10]. Cheng et al. studied [37] the effect of tailing particle gradation on the yield stress of fresh CPB. They concluded that particle gradation changed yield stress by affecting skeleton structure and pore structure. To sum up, tailings gradation has a significant impact on the performance of fresh or hardened CPB, and these studies have made significant contributions to understanding of the influence of tailings characteristics on CPB properties. However, on the other hand, there are few reports on the quantitative research on the influence of tailings grading, and the mechanism of tailings grading on flowability and UCS of CPB is also few. This is undoubtedly an obstacle to understanding the properties of CPB. Although Qiu et al. introduced the index of water film thickness (WFT) to quantify the influence of tailings fineness, the tailings sample does not contain coarse tailings [38]. Furthermore, rheological properties were not involved in the study of Qiu et al. [37, 39]. Therefore, it is necessary to further explore the influence of tailings particle size on CPB properties.Based on the above discussion, the concept of packing density of tailing particles was introduced to quantify the influence of tailing particle size. After preparing tailings samples with different fine contents (<20 m), a series of related experiments were carried out, such as the mini slump test, rheological test, UCS test, mercury intrusion porosimetry (MIP) test, and so on. Moreover, because tailings particles are generally fine, the dry packing method often has great limitations in measuring tailings packing density, so the wet packing method was adopted to measure packing density. The purpose of this study is to further understand the influence of tailings fine content on CPB properties and to provide theoretical basis for the design of mine backfill mix.


## 2. Experimental

### 2.1. Materials

In order to obtain tailings samples with different fine contents, the tailings from an iron mine in Liaoning Province, China, were adopted as the original material. The XQM-2 planetary ball mill was used for grinding at different times, and five tailings samples with different fine contents were obtained, which were 22.08%, 31.51%, 42.20%, 51.63, and 62.94%, respectively. The particle size distribution of tailings samples with various fine contents is shown in Figure1. The main chemical components of tailings include SiO2, Fe2O3, and Al2O3, and their mass percentages are 65.3%, 15.52%, and 2.89% respectively. The commercial OPC (namely, PO42.5R) generally used in mines in China was adopted, the specific surface area is 5808 cm2/g, and the specific gravity is 3.3. The main physical and chemical properties of tailings and cement are given in Table 1. Furthermore, tap water was used as mixing water to obtain a fresh CPB slurry of desired consistency [26]. Detailed information on tap water can be found in [38].Figure 1
Particle size distribution of tailings and OPC.Table 1
Main chemical and physical properties of OPC and tailings.
Physical propertiesOPCTailingsChemical composition (%)OPCTailingsSpecific gravity3.33.02SiO221.4365.3<20μm (%)66.322.08CaO62.343.0131.5142.2051.6362.94D10 (μm)5.236.79Fe2O35.0615.523.352.081.751.24D30 (μm)10.1830.13Al2O34.252.8918.3510.286.954.89D60 (μm)17.886.23MgO2.610.5870.5945.5430.3517.57Coefficient of uniformity3.3612.69Na2O0.412.8821.0523.3317.3914.18Coefficient of curvature1.11.55K2O0.738.761.421.050.911.10———SO31.480.32Coefficient of uniformity =D60/D10; coefficient of curvature = (D30)2/(D10  ×  D60).


### 2.2. Experimental Program

The main purpose of this study is to study the influence of the fine content of tailings on the properties of fresh or hardened CPB, so other factors remain unchanged. The binder dosage and solid content are fixed at 8% and 72%, respectively, which are calculated from the following equations (equations (1) and (2)). In addition, the specific test scheme is given in Table 2.(1)BDw%=100∗MbinderMtailings,(2)SCw%=100∗Mtailings+MbinderMtailings+Mbinder+Mwater,where BDw% is the binder dosage, SCw% is the solid content, and Mbinder, Mtailings, and Mwater represent the mass of dry binder, dry tailings, and water in the CPB, respectively.Table 2
Experimental program.
Binder dosage (%)Solid content (%)Fine content (%)87222.928.237.346.959.8


### 2.3. Testing Procedures

In this study, the wet packing method was used to measure the packing density of tailings. Detailed experimental procedures are given in [40]. The research results of Qiu et al. [38, 39, 41] showed the rationality of using the wet packing method to measure the density of tailings. The tailings and OPC were weighed according to a preset proportion, poured into a stirring container, and then mixed at a low speed for 1 minute to make the dry materials evenly mixed.Once the dry materials were mixed evenly, different amounts of water (shown as various water-solid ratios in the abscissa of Figure2) were added to the solid particle system. After fully stirring evenly, fresh slurry was poured into a cylindrical container with a diameter and height of 10 cm to measure the packing density. When the water content is low, the concentration of the mixed system increases with the increase of water content due to the effect of liquid bridge [42, 43]. When the water content exceeds a certain threshold, the concentration of the system decreases continuously if the water content continues to increase. Therefore, there is a threshold water content, at which time the system concentration reaches the maximum, and the maximum solid concentration can be regarded as the particle packing density. The concentration of the system can be obtained according to the following formulas:(3)u=V−VsVs,∅=VsV,where V and Vs represent the volume of the cylindrical container and the volume of the solid particles in slurry, respectively. ∅ is the solid concentration of the system with various water contents. u is the voids ratio. It is worth noting that the voids ratio and solid concentration satisfy the following relationship:(4)∅=11+u.Figure 2
Wet packing test results for tailings.Due to the fine tailing particles, the mini slump cone was used to measure the flow spread of fresh CPB slurry and characterize the flowability of slurry. The top diameter of the mini slump cone is 5 cm, the bottom diameter is 10 cm, and the height is 15 cm. Detailed information on mini slump and mini slump test procedures can be found in [39].The rheological properties of fresh CPB were tested by the Brookfield RSR-SST rheometer. A four-bladed vane with a diameter of 20 mm and a height of 40 mm was selected in this study [44]. Once the CPB mixture was ready, it is quickly poured into the sample cup of the rheometer. To ensure that all fresh CPB samples are at a reproducible reference state, preshear progress is performed before each rheological test [45]. During the preshear, a shear rate of 100 s−1 is selected for a duration of 1 min. Subsequently, the shear rate decreases from 100 s−1 to 0.003 s−1 within 1 minute (Figure 3), and the data recorded during this stage were used to fit the rheological model [46]. Based on the experimental results, the correlation coefficients R2 obtained by fitting the Bingham model (equation (5)) are all over 0.98, so it is reasonable to select this model to obtain the rheological parameters of CPB.(5)τ=τ0+η⋅γ,where τ represents the shear stress (Pa); τ0 and η represent the yield stress (Pa) and plastic viscosity (Pa·s), respectively; γ is the shear rate (s−1).Figure 3
Applied rheological protocol.The Humboldt HM-5030 with loading capacity of 50 kN was used to determine the UCS of the CPB. The loading method adopted the displacement loading, and the specific loading rate was 1 mm/min [24]. After the UCS test, a small piece was selected to soak in isopropanol for 24 hours to stop hydration, then vacuum dry to constant weight, and perform the MIP test. A mercury porosimeter of AutoPore IV 9510 was used for pore measurement in this study. This instrument can achieve a maximum pressure of 414 MPa, and the measurable pore diameter range is 0.003–1000 μm.It is worth noting that for the accuracy and reproducibility of the experimental results, each proportion of the sample is tested three times.


## 2.1. Materials

In order to obtain tailings samples with different fine contents, the tailings from an iron mine in Liaoning Province, China, were adopted as the original material. The XQM-2 planetary ball mill was used for grinding at different times, and five tailings samples with different fine contents were obtained, which were 22.08%, 31.51%, 42.20%, 51.63, and 62.94%, respectively. The particle size distribution of tailings samples with various fine contents is shown in Figure1. The main chemical components of tailings include SiO2, Fe2O3, and Al2O3, and their mass percentages are 65.3%, 15.52%, and 2.89% respectively. The commercial OPC (namely, PO42.5R) generally used in mines in China was adopted, the specific surface area is 5808 cm2/g, and the specific gravity is 3.3. The main physical and chemical properties of tailings and cement are given in Table 1. Furthermore, tap water was used as mixing water to obtain a fresh CPB slurry of desired consistency [26]. Detailed information on tap water can be found in [38].Figure 1
Particle size distribution of tailings and OPC.Table 1
Main chemical and physical properties of OPC and tailings.
Physical propertiesOPCTailingsChemical composition (%)OPCTailingsSpecific gravity3.33.02SiO221.4365.3<20μm (%)66.322.08CaO62.343.0131.5142.2051.6362.94D10 (μm)5.236.79Fe2O35.0615.523.352.081.751.24D30 (μm)10.1830.13Al2O34.252.8918.3510.286.954.89D60 (μm)17.886.23MgO2.610.5870.5945.5430.3517.57Coefficient of uniformity3.3612.69Na2O0.412.8821.0523.3317.3914.18Coefficient of curvature1.11.55K2O0.738.761.421.050.911.10———SO31.480.32Coefficient of uniformity =D60/D10; coefficient of curvature = (D30)2/(D10  ×  D60).


## 2.2. Experimental Program

The main purpose of this study is to study the influence of the fine content of tailings on the properties of fresh or hardened CPB, so other factors remain unchanged. The binder dosage and solid content are fixed at 8% and 72%, respectively, which are calculated from the following equations (equations (1) and (2)). In addition, the specific test scheme is given in Table 2.(1)BDw%=100∗MbinderMtailings,(2)SCw%=100∗Mtailings+MbinderMtailings+Mbinder+Mwater,where BDw% is the binder dosage, SCw% is the solid content, and Mbinder, Mtailings, and Mwater represent the mass of dry binder, dry tailings, and water in the CPB, respectively.Table 2
Experimental program.
Binder dosage (%)Solid content (%)Fine content (%)87222.928.237.346.959.8


## 2.3. Testing Procedures

In this study, the wet packing method was used to measure the packing density of tailings. Detailed experimental procedures are given in [40]. The research results of Qiu et al. [38, 39, 41] showed the rationality of using the wet packing method to measure the density of tailings. The tailings and OPC were weighed according to a preset proportion, poured into a stirring container, and then mixed at a low speed for 1 minute to make the dry materials evenly mixed.Once the dry materials were mixed evenly, different amounts of water (shown as various water-solid ratios in the abscissa of Figure2) were added to the solid particle system. After fully stirring evenly, fresh slurry was poured into a cylindrical container with a diameter and height of 10 cm to measure the packing density. When the water content is low, the concentration of the mixed system increases with the increase of water content due to the effect of liquid bridge [42, 43]. When the water content exceeds a certain threshold, the concentration of the system decreases continuously if the water content continues to increase. Therefore, there is a threshold water content, at which time the system concentration reaches the maximum, and the maximum solid concentration can be regarded as the particle packing density. The concentration of the system can be obtained according to the following formulas:(3)u=V−VsVs,∅=VsV,where V and Vs represent the volume of the cylindrical container and the volume of the solid particles in slurry, respectively. ∅ is the solid concentration of the system with various water contents. u is the voids ratio. It is worth noting that the voids ratio and solid concentration satisfy the following relationship:(4)∅=11+u.Figure 2
Wet packing test results for tailings.Due to the fine tailing particles, the mini slump cone was used to measure the flow spread of fresh CPB slurry and characterize the flowability of slurry. The top diameter of the mini slump cone is 5 cm, the bottom diameter is 10 cm, and the height is 15 cm. Detailed information on mini slump and mini slump test procedures can be found in [39].The rheological properties of fresh CPB were tested by the Brookfield RSR-SST rheometer. A four-bladed vane with a diameter of 20 mm and a height of 40 mm was selected in this study [44]. Once the CPB mixture was ready, it is quickly poured into the sample cup of the rheometer. To ensure that all fresh CPB samples are at a reproducible reference state, preshear progress is performed before each rheological test [45]. During the preshear, a shear rate of 100 s−1 is selected for a duration of 1 min. Subsequently, the shear rate decreases from 100 s−1 to 0.003 s−1 within 1 minute (Figure 3), and the data recorded during this stage were used to fit the rheological model [46]. Based on the experimental results, the correlation coefficients R2 obtained by fitting the Bingham model (equation (5)) are all over 0.98, so it is reasonable to select this model to obtain the rheological parameters of CPB.(5)τ=τ0+η⋅γ,where τ represents the shear stress (Pa); τ0 and η represent the yield stress (Pa) and plastic viscosity (Pa·s), respectively; γ is the shear rate (s−1).Figure 3
Applied rheological protocol.The Humboldt HM-5030 with loading capacity of 50 kN was used to determine the UCS of the CPB. The loading method adopted the displacement loading, and the specific loading rate was 1 mm/min [24]. After the UCS test, a small piece was selected to soak in isopropanol for 24 hours to stop hydration, then vacuum dry to constant weight, and perform the MIP test. A mercury porosimeter of AutoPore IV 9510 was used for pore measurement in this study. This instrument can achieve a maximum pressure of 414 MPa, and the measurable pore diameter range is 0.003–1000 μm.It is worth noting that for the accuracy and reproducibility of the experimental results, each proportion of the sample is tested three times.


## 3. Results and Discussion

### 3.1. Effect of Tailings Fine Content on Packing Density

Figure2 shows the effect of water-solid (W/S) ratio on voids ratio and solid concentration (only sample with fine content of 42.20% is listed here, and other results are similar). It can be clearly seen from the figure that when the W/S ratio is less than the basic water ratio (also known as the optimal water-solid ratio, and the corresponding solid concentration is the wet packing density), the solid concentration increases with the increase of the W/S ratio. This is because the amount of water mixed at this time is not enough to fill all the voids among the particles, and the formation of liquid bridges will reduce the particle spacing [40]. When the W/S ratio is greater than the basic water ratio, the suspension is formed and the tailings particles can be considered to be in a completely dispersed state [47]. Therefore, as the W/S ratio increases, the solid concentration gradually decreases. However, it should be noted that the basic water ratio is not necessarily equal to the minimum voids ratio. This is because when the minimum voids ratio occurs, there may be air trapped in the voids, resulting in a nonzero air proportion, as evidenced by the experimental results in the figure. Kwan et al. [47] also observed similar results when studying the wet packing density of concrete aggregates. Therefore, the basic water ratio should not be misunderstood as the minimum water ratio required to fill the voids among solid particles.The variation of the packing density of the tailings particle system with different tailings fine contents under the wet and dry packing methods is shown in Figure4. The packing density obtained by the dry packing method is in the range of 0.578–0.633, while that obtained by the wet packing method is in 0.585–0.651. Comparing the experimental results of the packing density under dry and wet conditions, it can be found that regardless of the fine content, the results obtained by the wet packing method are significantly greater than that obtained by the dry packing method, which indicates that the effect of water has a significant effect on the packing density of the tailings. This is because the tailing particles are fine, and the strong interparticle interaction forces (electrostatic force and van der Waals force) lead to the tailing particles attracting each other to form aggregates, thus resulting in loose packing [48]. In the dry packing test, this strong interaction cannot be eliminated, but the effect can be weakened to some extent by the action of water, so that the aggregates are dispersed and the particles are packed tightly [47]. This is the main reason why the dry packing method generally underestimates the packing density of fine particle systems. However, it is noteworthy that in the coarse particle system, because the interparticle forces are relatively small, the dry packing method can also achieve accurate results.Figure 4
Results of the packing density measured by different methods.On the other hand, we can notice that with the increase of tailings fine content, the packing density increases sharply at first and then decreases slowly. According to the particle packing theory [39], when the fine content is less than 42.20%, the tailings are relatively coarse at this time. As the content of fine particles increases, the fine particles continue to fill the voids among the coarse particles, resulting in a significant increase in the overall packing density. This effect is called the filling effect of fine particles [39]. The increase of particle size distribution width may also be an important reason [49]. When the fine content is greater than 42.20%, the voids among the coarse particles have been basically filled at this time. If the fine content of the tailings is further increased, the fine tailings will pull apart the coarse tailings, which is the so-called “wedge effect” [50]. Moreover, coarse particles act as a wall, and fine particles adhere to the wall surface, which further increases the voids volume, the so-called “wall effect” [51]. To sum up, when the tailing fine content ranges from 22.08% to 62.94%, there exists an optimal tailing fine content (42.20% in this study), which makes the packing density of the tailing particle system maximum.


### 3.2. Effect of Tailings Fine Content on Flow Spread

Figure5 shows the variation of the flow spread of fresh CPB slurry under different tailings fine contents (solid content is fixed at 72%). It is obvious from the figure that the flowability of CPB with various tailings fine contents is significantly different. When the fine content increases from 22.08% to 42.2%, the flow spread increases. However, when the fine content changes from 42.2% to 62.94%, the flow spread of fresh CPB slurry decreases significantly. The variation trend of flow spread with tailings fine content is similar to that of packing density with tailings fine content, which indicates that packing density affects the flowability of CPB slurry to a certain extent.Figure 5
Flow spread variation with fine contents.It is worth noting that when the coordinate system is established based on packing density and flow spread, the data points are very discrete and no obvious functional relationship appears (Figure6). This shows that it is not comprehensive to study the flowability of CPB slurry only considering the factor of packing density. In other words, there are other important factors that affect the flowability of CPB. Qiu et al. [39] concluded that the specific surface area of tailings is also an important factor affecting the flow properties of fresh CPB slurry. When the fine content of tailings is between 22.08% and 42.2%, the influence of packing density on the flowability of CPB slurry is dominant. When the solid content is constant, the larger the packing density means that there is more water left after filling the particle voids, thus the greater the thickness of the water film formed on the particle surface and the smaller the friction resistance, thus improving the flow performance [52]. However, when the tailings fine content is between 42.2% and 62.94%, the influence of specific surface area of tailings cannot be ignored. On the one hand, the packing density is reduced, which means that there is less water available to form the water film. On the other hand, the specific surface area of tailings also increases sharply. Therefore, under the coupling action of packing density and specific surface area, the flowability of CPB decreases significantly in this range [39]. To sum up, it can be inferred that when solid content remains constant, if the packing density and specific surface area of tailings are coupled into a new index, the index will have a good function relationship with the flow spread of fresh CPB slurry. Of course, water content is also an important factor affecting slurry flow performance and generally not fixed. In this case, a comprehensive index including water content, particle packing density, and specific surface area must be the key to predict the flowability of CPB. The results of Guo et al. [41] and Kwan and Li [53] also prove this view.Figure 6
Relationship between packing density and flow spread.


### 3.3. Effect of Tailings Fine Content on Yield Stress

The yield stress of the fresh CPB slurry varies with the fine content of tailings as shown in Figure7. Obviously, with the increase of tailings fine content, the yield stress decreases first and then increases. The reason for this phenomenon may be that the fine content of tailings changes the packing density of particles, thus affecting the free water content which contributes to flow [36]. The specific mechanism for the effect of packing density on yield stress is similar to that described in Section 3.2. It is worth noting that the packing density essentially reflects the result of particle physical packing, so the effect of hydration of cementitious materials cannot be taken into account. Although some studies have shown that the hydration of the binder has a significant effect on the rheological properties of CPB slurry [54, 55]. However, both the mini slump test and the rheological test were carried out quickly after the mixing was completed. In other words, these experiments were all completed within the induction period of hydration of the binder [56]. Therefore, it is reasonable to ignore the effect of hydration of the binder in this study.Figure 7
Yield stress variation with fine contents.In addition, a function fitting was carried out to explore the relationship between flow spread and yield stress (Figure8). The results show that there is an exponential relationship between flow spread and yield stress, and the correlation coefficient reaches 0.989. Therefore, the exponential model can be used as an empirical formula to estimate the yield stress by using the mini slump test, which has a certain significance for the engineering site. Liu et al. also reached a similar conclusion [56]. However, after comparing with the model in this study, it can be found that the coefficients in the two models are greatly different. This indicates that the composition of CPB has a great influence on the coefficient of the model, so the model with stronger applicability needs to be further studied.Figure 8
Correlation between flow spread and yield stress for fresh CPB.


### 3.4. Effect of Tailings Fine Content on UCS

The variation of UCS of CPB with tailings fine content after 28 days curing is shown in Figure9 (solid content is 72%). With the increase of tailings fine content, the UCS of CPB first increases to the maximum value of 1.65 MPa and then decreases slowly. For example, when the tailings fine content increases from 22.08% to 42.2%, the strength of CPB increases by 30%. However, when the tailings fine content increases from 42.2% to 62.94%, the corresponding strength decreases by 9.1%. The variation trend of strength is consistent with that of packing density. This indicates that the packing density is an important factor affecting the strength of CPB. A fitting analysis was conducted to further analyze the relationship between strength and packing density, and the results are shown in Figure 10. As can be seen from the figure, there is a good linear relationship between strength and packing density, and the correlation coefficient reaches 0.97. This means that the packing density of tailings can be used to predict the strength of CPB. The mechanism by which packing density affects CPB strength is further analyzed in the following section.Figure 9
UCS variation with fine contents.Figure 10
Relationship between packing density and UCS.Wu et al. introduced Talbot gradation theory to study the influence of grain size distribution of waste rock on the cemented waste rock backfill (CWRB), and the results showed that when the gradation Talbot index was between 0.4 and 0.6, CWRB showed the best UCS and UPV performance [57]. Sevim and Demir used Dinger–Funk particle size distribution modulus (q) to explore the influence of fly ash particle size distribution on the compressive and flexural strength of fly ash-blended cement mortars, and the results revealed that when q is 0.4, mortars yield the best mechanical properties [58]. Therefore, it is necessary to explore the quantitative relationship between tailing particle size distribution and UCS for the purpose to further understand the mechanism of tailing particle size distribution affecting CPB properties. Here, the gradation Talbot index (t, obtained according to equation (6)) is used to correlate the UCS of the CPB, and the result is shown in Figure 11. The larger the t value is, the coarser the tailing particles are. Therefore, with the increase of tailings fine content, t value must decrease. It can be seen from Figure 11 that the UCS of CPB presents a good quadratic polynomial relationship with t value (the correlation coefficient reaches 0.929). When t is 0.38, the strength value of CPB is the maximum. In other words, when t is 0.41, the packing density of the particle system at this time is the largest, which is proved by the experimental results of tailings fine content and packing density in Section 3.1. Furthermore, these results are consistent with the conclusions of Wu et al. [31, 59] and Zhang et al. [60].(6)Pi=100∗DiDmaxt,where Di is the particle size of tailings (μm); Dmax is the maximum tailings particle size (μm); Pi represents the tailing volume percentage with particle size smaller than that occupied by Di (%); Pi represents the volume percentage of tailings with particle size less than Di (%).Figure 11
Relationship between gradation Talbot index and UCS.


### 3.5. Effect of Tailings Fine Content on Pore Structure

It is well known that the strength of CPB is essentially determined by its internal microstructure [61]. Figure 12 shows the pore size distribution of CPB with different tailings fine contents (curing time is 28 days). It can be clearly seen from the figure that when the tailings fine content is 42.2%, its pore distribution curve is at the far left, which indicates that this CPB sample has a finer pore structure. The samples with tailings fineness content of 62.94% and 22.08% have obviously poor pore structure, but the pore structure of the former is better than that of the latter. This is consistent with the results of packing density, indicating that the macroscopic packing density affects the strength of CPB by affecting the microscopic pores.Figure 12
MIP test results under different fine contents.


## 3.1. Effect of Tailings Fine Content on Packing Density

Figure2 shows the effect of water-solid (W/S) ratio on voids ratio and solid concentration (only sample with fine content of 42.20% is listed here, and other results are similar). It can be clearly seen from the figure that when the W/S ratio is less than the basic water ratio (also known as the optimal water-solid ratio, and the corresponding solid concentration is the wet packing density), the solid concentration increases with the increase of the W/S ratio. This is because the amount of water mixed at this time is not enough to fill all the voids among the particles, and the formation of liquid bridges will reduce the particle spacing [40]. When the W/S ratio is greater than the basic water ratio, the suspension is formed and the tailings particles can be considered to be in a completely dispersed state [47]. Therefore, as the W/S ratio increases, the solid concentration gradually decreases. However, it should be noted that the basic water ratio is not necessarily equal to the minimum voids ratio. This is because when the minimum voids ratio occurs, there may be air trapped in the voids, resulting in a nonzero air proportion, as evidenced by the experimental results in the figure. Kwan et al. [47] also observed similar results when studying the wet packing density of concrete aggregates. Therefore, the basic water ratio should not be misunderstood as the minimum water ratio required to fill the voids among solid particles.The variation of the packing density of the tailings particle system with different tailings fine contents under the wet and dry packing methods is shown in Figure4. The packing density obtained by the dry packing method is in the range of 0.578–0.633, while that obtained by the wet packing method is in 0.585–0.651. Comparing the experimental results of the packing density under dry and wet conditions, it can be found that regardless of the fine content, the results obtained by the wet packing method are significantly greater than that obtained by the dry packing method, which indicates that the effect of water has a significant effect on the packing density of the tailings. This is because the tailing particles are fine, and the strong interparticle interaction forces (electrostatic force and van der Waals force) lead to the tailing particles attracting each other to form aggregates, thus resulting in loose packing [48]. In the dry packing test, this strong interaction cannot be eliminated, but the effect can be weakened to some extent by the action of water, so that the aggregates are dispersed and the particles are packed tightly [47]. This is the main reason why the dry packing method generally underestimates the packing density of fine particle systems. However, it is noteworthy that in the coarse particle system, because the interparticle forces are relatively small, the dry packing method can also achieve accurate results.Figure 4
Results of the packing density measured by different methods.On the other hand, we can notice that with the increase of tailings fine content, the packing density increases sharply at first and then decreases slowly. According to the particle packing theory [39], when the fine content is less than 42.20%, the tailings are relatively coarse at this time. As the content of fine particles increases, the fine particles continue to fill the voids among the coarse particles, resulting in a significant increase in the overall packing density. This effect is called the filling effect of fine particles [39]. The increase of particle size distribution width may also be an important reason [49]. When the fine content is greater than 42.20%, the voids among the coarse particles have been basically filled at this time. If the fine content of the tailings is further increased, the fine tailings will pull apart the coarse tailings, which is the so-called “wedge effect” [50]. Moreover, coarse particles act as a wall, and fine particles adhere to the wall surface, which further increases the voids volume, the so-called “wall effect” [51]. To sum up, when the tailing fine content ranges from 22.08% to 62.94%, there exists an optimal tailing fine content (42.20% in this study), which makes the packing density of the tailing particle system maximum.


## 3.2. Effect of Tailings Fine Content on Flow Spread

Figure5 shows the variation of the flow spread of fresh CPB slurry under different tailings fine contents (solid content is fixed at 72%). It is obvious from the figure that the flowability of CPB with various tailings fine contents is significantly different. When the fine content increases from 22.08% to 42.2%, the flow spread increases. However, when the fine content changes from 42.2% to 62.94%, the flow spread of fresh CPB slurry decreases significantly. The variation trend of flow spread with tailings fine content is similar to that of packing density with tailings fine content, which indicates that packing density affects the flowability of CPB slurry to a certain extent.Figure 5
Flow spread variation with fine contents.It is worth noting that when the coordinate system is established based on packing density and flow spread, the data points are very discrete and no obvious functional relationship appears (Figure6). This shows that it is not comprehensive to study the flowability of CPB slurry only considering the factor of packing density. In other words, there are other important factors that affect the flowability of CPB. Qiu et al. [39] concluded that the specific surface area of tailings is also an important factor affecting the flow properties of fresh CPB slurry. When the fine content of tailings is between 22.08% and 42.2%, the influence of packing density on the flowability of CPB slurry is dominant. When the solid content is constant, the larger the packing density means that there is more water left after filling the particle voids, thus the greater the thickness of the water film formed on the particle surface and the smaller the friction resistance, thus improving the flow performance [52]. However, when the tailings fine content is between 42.2% and 62.94%, the influence of specific surface area of tailings cannot be ignored. On the one hand, the packing density is reduced, which means that there is less water available to form the water film. On the other hand, the specific surface area of tailings also increases sharply. Therefore, under the coupling action of packing density and specific surface area, the flowability of CPB decreases significantly in this range [39]. To sum up, it can be inferred that when solid content remains constant, if the packing density and specific surface area of tailings are coupled into a new index, the index will have a good function relationship with the flow spread of fresh CPB slurry. Of course, water content is also an important factor affecting slurry flow performance and generally not fixed. In this case, a comprehensive index including water content, particle packing density, and specific surface area must be the key to predict the flowability of CPB. The results of Guo et al. [41] and Kwan and Li [53] also prove this view.Figure 6
Relationship between packing density and flow spread.


## 3.3. Effect of Tailings Fine Content on Yield Stress

The yield stress of the fresh CPB slurry varies with the fine content of tailings as shown in Figure7. Obviously, with the increase of tailings fine content, the yield stress decreases first and then increases. The reason for this phenomenon may be that the fine content of tailings changes the packing density of particles, thus affecting the free water content which contributes to flow [36]. The specific mechanism for the effect of packing density on yield stress is similar to that described in Section 3.2. It is worth noting that the packing density essentially reflects the result of particle physical packing, so the effect of hydration of cementitious materials cannot be taken into account. Although some studies have shown that the hydration of the binder has a significant effect on the rheological properties of CPB slurry [54, 55]. However, both the mini slump test and the rheological test were carried out quickly after the mixing was completed. In other words, these experiments were all completed within the induction period of hydration of the binder [56]. Therefore, it is reasonable to ignore the effect of hydration of the binder in this study.Figure 7
Yield stress variation with fine contents.In addition, a function fitting was carried out to explore the relationship between flow spread and yield stress (Figure8). The results show that there is an exponential relationship between flow spread and yield stress, and the correlation coefficient reaches 0.989. Therefore, the exponential model can be used as an empirical formula to estimate the yield stress by using the mini slump test, which has a certain significance for the engineering site. Liu et al. also reached a similar conclusion [56]. However, after comparing with the model in this study, it can be found that the coefficients in the two models are greatly different. This indicates that the composition of CPB has a great influence on the coefficient of the model, so the model with stronger applicability needs to be further studied.Figure 8
Correlation between flow spread and yield stress for fresh CPB.


## 3.4. Effect of Tailings Fine Content on UCS

The variation of UCS of CPB with tailings fine content after 28 days curing is shown in Figure9 (solid content is 72%). With the increase of tailings fine content, the UCS of CPB first increases to the maximum value of 1.65 MPa and then decreases slowly. For example, when the tailings fine content increases from 22.08% to 42.2%, the strength of CPB increases by 30%. However, when the tailings fine content increases from 42.2% to 62.94%, the corresponding strength decreases by 9.1%. The variation trend of strength is consistent with that of packing density. This indicates that the packing density is an important factor affecting the strength of CPB. A fitting analysis was conducted to further analyze the relationship between strength and packing density, and the results are shown in Figure 10. As can be seen from the figure, there is a good linear relationship between strength and packing density, and the correlation coefficient reaches 0.97. This means that the packing density of tailings can be used to predict the strength of CPB. The mechanism by which packing density affects CPB strength is further analyzed in the following section.Figure 9
UCS variation with fine contents.Figure 10
Relationship between packing density and UCS.Wu et al. introduced Talbot gradation theory to study the influence of grain size distribution of waste rock on the cemented waste rock backfill (CWRB), and the results showed that when the gradation Talbot index was between 0.4 and 0.6, CWRB showed the best UCS and UPV performance [57]. Sevim and Demir used Dinger–Funk particle size distribution modulus (q) to explore the influence of fly ash particle size distribution on the compressive and flexural strength of fly ash-blended cement mortars, and the results revealed that when q is 0.4, mortars yield the best mechanical properties [58]. Therefore, it is necessary to explore the quantitative relationship between tailing particle size distribution and UCS for the purpose to further understand the mechanism of tailing particle size distribution affecting CPB properties. Here, the gradation Talbot index (t, obtained according to equation (6)) is used to correlate the UCS of the CPB, and the result is shown in Figure 11. The larger the t value is, the coarser the tailing particles are. Therefore, with the increase of tailings fine content, t value must decrease. It can be seen from Figure 11 that the UCS of CPB presents a good quadratic polynomial relationship with t value (the correlation coefficient reaches 0.929). When t is 0.38, the strength value of CPB is the maximum. In other words, when t is 0.41, the packing density of the particle system at this time is the largest, which is proved by the experimental results of tailings fine content and packing density in Section 3.1. Furthermore, these results are consistent with the conclusions of Wu et al. [31, 59] and Zhang et al. [60].(6)Pi=100∗DiDmaxt,where Di is the particle size of tailings (μm); Dmax is the maximum tailings particle size (μm); Pi represents the tailing volume percentage with particle size smaller than that occupied by Di (%); Pi represents the volume percentage of tailings with particle size less than Di (%).Figure 11
Relationship between gradation Talbot index and UCS.


## 3.5. Effect of Tailings Fine Content on Pore Structure

It is well known that the strength of CPB is essentially determined by its internal microstructure [61]. Figure 12 shows the pore size distribution of CPB with different tailings fine contents (curing time is 28 days). It can be clearly seen from the figure that when the tailings fine content is 42.2%, its pore distribution curve is at the far left, which indicates that this CPB sample has a finer pore structure. The samples with tailings fineness content of 62.94% and 22.08% have obviously poor pore structure, but the pore structure of the former is better than that of the latter. This is consistent with the results of packing density, indicating that the macroscopic packing density affects the strength of CPB by affecting the microscopic pores.Figure 12
MIP test results under different fine contents.


## 4. Conclusions

Based on the experimental results and discussion in this study, the following conclusions can be drawn:(1)
The packing density of tailings obtained by the dry packing method is less than that obtained by the wet packing method. With the increase of tailing fine content, the packing density increases first and then decreases.(2)
With the increase of tailings fine content, the flow spread of fresh CPB increases first and then decreases significantly, while the yield stress shows an opposite trend. There is an exponential relationship between flow spread and yield stress of fresh CPB. The tailings fine content mainly affects the flowability and rheological properties of the CPB slurry through the packing density, but when the fine content is high, the influence of specific surface area of tailings cannot be ignored.(3)
With the increase of tailings fine content, the UCS of CPB increases first and then decreases slightly. The packing density is an important factor affecting the strength of CPB, and there is an obvious linear relationship between the packing density and the UCS of CPB. When the gradation Talbot index is 0.41, the strength of the CPB reaches the maximum.(4)
The pore structure of CPB samples with different tailings fine content is obviously different. The macroscopic packing density changes the strength of CPB by affecting the microscopic pores.It is worth noting that the hydration of the binder was not considered in this study, so the coupling effect of hydration of binders and packing density on CPB performances will be the focus of our future work.



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*Source: 9947620-2021-06-02.xml*