E ﬀ ects of Soil Conditioning on Characteristics of a Clay-Sand-Gravel Mixed Soil Based on Laboratory Test

: Soil conditioning is of great signiﬁcance for tunneling in soft ground with earth pressure balance shield (EPBS) machines, which leads to safe, highly e ﬃ cient, and high-quality tunneling. To study the e ﬀ ects of soil conditioning on properties of a clay-sand-gravel mixed soil encountered in an EPBS tunneling project in Beijing, a series of geotechnical test methods was carried out based on laboratory test in this paper. The decay behaviors of foam particles generated by the Waring-Blender method were studied ﬁrst using the image particle analysis system, and then the feasibility of soil conditioning on the mixed soil was qualitatively and quantitatively assessed through the mixing test, slump test, and friction coe ﬃ cient test. The preliminary test results indicate that drainage of water in liquid ﬁlm plays an important role in the decay of foam microstructure. The viscosity and ﬂowability of the conditioned soil were modiﬁed dramatically by using various amount of water and foam, and a suitable state meeting the requirement of EPBS machines was obtained. The net power and mixing time, which reﬂects the interaction between the blending rods and tested soils, as well as the slump value, providing the overall indication for liquidity of the conditioned soils, and friction coe ﬃ cient, reﬂecting the friction between steel and tested soils, were used to provide insight into the variation in viscosity and ﬂowability of the tested soils. foam. The used for the and pictures of after pulling and


Introduction
For the sustainable development of the big city, developing more underground space is effective, and the development of intensive tunnels, including metro tunnels, road tunnels, and utility tunnels, is carried out throughout the world. Earth pressure balance shield (EPBS) machines, which were originally developed and used in a close mode for fine grained soils or mixed grained soils with at least 30 wt.% fines (d < 0.06 mm) [1,2], have been extensively used in various tunnels because of their high security in driving, high efficiency in tunneling, and high feasibility in stratums. EPBS machines achieve stability of tunnel face by filling the chamber and applying chamber pressure at the back of cutterhead [3], and they have been used in many kinds of excavation soils with complicated characteristics, such as caking property of clayed soils [4], looseness of sandy soils [5], and abrasivity of gravelly soils [6]. Many studies on the application of soil conditioning in various given soils have been carried out in recent years. Today, EPBS tunneling is possible through almost all geological conditions, and more and more EPBS machines work in mixed ground due to their large excavation diameter [7] thanks to the application of the soil conditioning system and soil conditioning agents.
Foam was defined as a physical state in which a gaseous phase is dispersed in bubble form in a second liquid phase [13]. In order to obtain the decay behaviors of the used foam, the BT-1600-type image particle analysis system, which is the production of combing traditional microscopic methods with modern image processing techniques, was used to observe the variation in foam microstructure with time. The BT-1600-type image particle analysis system is a multifunctional particle analysis system consisting of optical microscope, digital charge coupled device (CCD) camera, image processing and analysis software, and so on. The test procedure is as follows: (1) The generated foam was dripped on the glass slide; (2) the dripped foam was covered with a coverslip immediately to obtain a thin foam layer; (3) videos and photos were taken under the condition of the microscope with 10-times eyepiece and 4-times objective lens magnification for 60 min; (4) the particle images were transferred to a computer using USB data transmission and the images were analyzed using special particle image analysis software; (5) the results were exported using the display and printer.

Mixing Test
To mix foam with tested soils and preliminarily obtain the flowability state of conditioned soils, a mixing tester with electric power meter was used in this study. The device consists of a vertically oriented steel cylindrical chamber with 385 mm in inner diameter and 255 mm in height, as shown in Figure 1. A rod with eight steel sheets driven by an electric motor can rotate inside the vertical container. The mixer has the capability of mixing water and foam with tested soils. The tested soils were mixed with soil conditioning agents according to the following procedure: (1) A quantity of 25 kg of mixed soils was first placed in the cylinder container; (2) water with the designed injection ratio was added into the soil and mixed thoroughly; (3) the generated foam with the required concentration of foam agent (C f ), foam expansion ratio (FER), and foam injection ratio (FIR) was added to soil samples; (4) the mixture was blended for 2 min and the mixing time necessary to obtain a homogeneous mixture without apparent foam. The electric motor power used for the mixing process and pictures of conditioned state after pulling up of the stirring rod, were recorded, monitored, and taken for each test.
Appl. Sci. 2020, 10, x FOR PEER REVIEW 3 of 17 EPBS tunneling project in Beijing. The microstructure of the foam particle was first investigated to 95 explore the decay mechanism, followed by the description of the evaluation methods, testing 96 procedures, and tested soil used in this study. After that, the detailed results and discussion of the 97 laboratory tests, which demonstrates the effect of the soil conditioning, are presented. 98

Image Particle Analysis System 100
Foam was defined as a physical state in which a gaseous phase is dispersed in bubble form in a 101 second liquid phase [13]. In order to obtain the decay behaviors of the used foam, the BT-1600-type 102 image particle analysis system, which is the production of combing traditional microscopic methods 103 with modern image processing techniques, was used to observe the variation in foam microstructure 104 with time. The BT-1600-type image particle analysis system is a multifunctional particle analysis 105 system consisting of optical microscope, digital charge coupled device (CCD) camera, image 106 processing and analysis software, and so on. The test procedure is as follows: (1) The generated foam 107 was dripped on the glass slide; (2) the dripped foam was covered with a coverslip immediately to 108 obtain a thin foam layer; (3) videos and photos were taken under the condition of the microscope 109 with 10-times eyepiece and 4-times objective lens magnification for 60 min; (4) the particle images 110 were transferred to a computer using USB data transmission and the images were analyzed using 111 special particle image analysis software; (5) the results were exported using the display and printer. 112

Mixing Test 113
To mix foam with tested soils and preliminarily obtain the flowability state of conditioned soils, 114 a mixing tester with electric power meter was used in this study. The device consists of a vertically 115 oriented steel cylindrical chamber with 385 mm in inner diameter and 255 mm in height, as shown in 116 Figure 1. A rod with eight steel sheets driven by an electric motor can rotate inside the vertical 117 container. The mixer has the capability of mixing water and foam with tested soils. The tested soils 118 were mixed with soil conditioning agents according to the following procedure: (1) A quantity of 25 119 kg of mixed soils was first placed in the cylinder container; (2) water with the designed injection 120 ratio was added into the soil and mixed thoroughly; (3) the generated foam with the required 121 concentration of foam agent (Cf), foam expansion ratio (FER), and foam injection ratio (FIR) was 122 added to soil samples; (4) the mixture was blended for 2 min and the mixing time necessary to obtain 123 a homogeneous mixture without apparent foam. The electric motor power used for the mixing 124 process and pictures of conditioned state after pulling up of the stirring rod, were recorded, 125 monitored, and taken for each test.

Slump Test
After the mechanical mixing tests, slump tests were carried out to provide an overall indication of the flowability of the fully conditioned soil. A standard slump cone with 100 mm in diameter of top opening, 200 mm in diameter of bottom opening, and 300 mm in height was used, as shown in Figure 2. The procedure of the slump test is as follows: (1) The slump cone was filled three times, that is, to the height of 1/3, 2/3, and 3/3, respectively; (2) the filled soil was tamped after each fill; (3) the soil was flatted at the top opening and the cone was lifted slowly; (4) the dropping height of the tested materials was measured.

Slump Test 129
After the mechanical mixing tests, slump tests were carried out to provide an overall indication 130 of the flowability of the fully conditioned soil. A standard slump cone with 100 mm in diameter of 131 top opening, 200 mm in diameter of bottom opening, and 300 mm in height was used, as shown in 132 Figure 2. The procedure of the slump test is as follows: (a) The slump cone was filled three times, 133 that is, to the height of 1/3, 2/3, and 3/3, respectively; (2) the filled soil was tamped after each fill; (3) 134 the soil was flatted at the top opening and the cone was lifted slowly; (4) the dropping height of the 135 tested materials was measured.

Friction Coefficient Test 139
To study the effect of soil conditioning on the viscosity of the conditioned soil, the friction 140 coefficient between soil and steel was tested by measuring the friction angle using the friction 141 coefficient test. The procedure of the friction coefficient test is as follows: (a) A plastic cylinder with 142 an inner diameter of 100 mm and height of 100 mm was filled with soil samples and then it was 143 placed on the flat steel plate; (2) one end of the plate was lifted up slowly and the angle on the angle 144 dial was recorded when the cylinder starts to move, as shown in Figure 3; (3) the friction coefficient 145 was obtained by the following equation: 146 where f is the friction coefficient, and  is the friction angle between soil and steel (°) 147

Friction Coefficient Test
To study the effect of soil conditioning on the viscosity of the conditioned soil, the friction coefficient between soil and steel was tested by measuring the friction angle using the friction coefficient test. The procedure of the friction coefficient test is as follows: (1) A plastic cylinder with an inner diameter of 100 mm and height of 100 mm was filled with soil samples and then it was placed on the flat steel plate; (2) one end of the plate was lifted up slowly and the angle on the angle dial was recorded when the cylinder starts to move, as shown in Figure 3; (3) the friction coefficient was obtained by the following equation: where f is the friction coefficient, and δ is the friction angle between soil and steel ( • )

Soil Samples and Foam Agent Used in Experiments 150
A mixed soil consisting of silty clay, fine-medium sand, and sandy gravel, with a volume 151 proportion of 2:2:1 encountered in an EPBS tunneling projects in Beijing, was used in this study. The 152 selected properties of the soil were tested based on GB/T 50123 [23] and are listed in Table 1. For silty 153 clay, X-ray diffraction tests were performed to determine the mineral constituent, as shown in Table  154 2. Figure 4 shows the grain size distribution of the fine-medium sand and sandy gravel. Based on the 155 liquid-plastic limit combined method [23], the plastic limit (WP) and liquid limit (WL) of the silty clay 156 were 30% and 44%, respectively. For the natural silty clay with a water content of 25%, the plasticity 157 index (IP) and liquidity index (IL) were 14% and -0.36, respectively. The gravel particles wrapped by 158 silty clay and sand particles cohere the cutting tools on the cutterhead and it is hard to discharge the 159 mixed soils via screw conveyor. The mechanical behavior of the mixed soil is not suitable for EPBS 160 tunneling. Soil conditioning is needed to modify characteristics of the mixed soil to meet the 161 requirement of EPBS machine. The natural water content of the mixed soil was approximately 25%, 162 and the original water content was set to 25% for a group of soil sample test in this study. 163

Soil Samples and Foam Agent Used in Experiments
A mixed soil consisting of silty clay, fine-medium sand, and sandy gravel, with a volume proportion of 2:2:1 encountered in an EPBS tunneling projects in Beijing, was used in this study. The selected properties of the soil were tested based on GB/T 50123 [23] and are listed in Table 1. For silty clay, X-ray diffraction tests were performed to determine the mineral constituent, as shown in Table 2. Figure 4 shows the grain size distribution of the fine-medium sand and sandy gravel. Based on the liquid-plastic limit combined method [23], the plastic limit (W P ) and liquid limit (W L ) of the silty clay were 30% and 44%, respectively. For the natural silty clay with a water content of 25%, the plasticity index (I P ) and liquidity index (I L ) were 14% and -0.36, respectively. The gravel particles wrapped by silty clay and sand particles cohere the cutting tools on the cutterhead and it is hard to discharge the mixed soils via screw conveyor. The mechanical behavior of the mixed soil is not suitable for EPBS tunneling. Soil conditioning is needed to modify characteristics of the mixed soil to meet the requirement of EPBS machine. The natural water content of the mixed soil was approximately 25%, and the original water content was set to 25% for a group of soil sample test in this study. For foam agents, there are two performance indicators which are often used to characterize foaming behaviors and select a foam agent: Foamability and foam stability. Foamability means how many volumes of bubbles with stable structure and moderate size can be produced by a given amount of a foaming agent, which is quantified by the ratio between the resulting volume of the foam and the volume of foaming liquid (foaming agent + water), that is, the foam expansion ratio (FER). Foam stability (or drainage behavior) means how long the foam can remain and how long foamed soils can sustain the desirable properties or behaviors. The half-life period (T 1/2 ), representing the time for half volume of the liquid matrix flowing out of the foam, can be used to characterize the foam stability. There are several important conditioning parameters for foam agent, which are defined as follows [2,15]: where C f is the concentration of the foaming agent (%), FER is the foam expansion ratio (dimensionless), FIR is the foaming injection ratio (%), V f is the volume of foaming agent (mL), V F is the volume of foam (mL), V L is the volume of foaming agent and water (mL), and V S is the volume of soil (mL). foaming behaviors and select a foam agent: Foamability and foam stability. Foamability means how 169 many volumes of bubbles with stable structure and moderate size can be produced by a given 170 amount of a foaming agent, which is quantified by the ratio between the resulting volume of the 171 In order to obtain the foam during laboratory test, a commonly used method called the Waring-Blender method was used in this study. The procedure of foam production in the Waring-Blender test is as follows: (1) 100 mL foaming liquid (foaming agent + water) with different concentration of foaming agent (C f , vol.%) was added into a mixer; (2) the foaming liquid was thoroughly mixed for 1 min at a rotational speed of 3000 rpm (revolutions per minute), as shown in Figure 5a. Then, the foamability (i.e., FER) and foam stability (i.e., T 1/2 ) of the generated foam were tested, as shown in Figure 5b. Finally, the foam agent with C f = 4%, FER = 7 and T 1/2 = 30 min under the room temperature of 25°C was used in this study. The generated foam was used for the observation of the microstructure and subsequent evaluation tests of the conditioned soil. The generated foam was added after thoroughly mixing of tested soils and water (see Figure 6a). The foam injection ratios (FIR) were set as 0%, 10%, 20%, and 30% for various soil samples. After that, the injected foam and soil were stirred into a homogeneous mixture (see Figure 6b). concentration of foaming agent (Cf, vol.%) was added into a mixer; (2) the foaming liquid was 185 thoroughly mixed for 1 min at a rotational speed of 3000 rpm (revolutions per minute), as shown in 186 Figure 5(a). Then, the foamability (i.e., FER) and foam stability (i.e., T1/2) of the generated foam were 187 tested, as shown in Figure5(b). Finally, the foam agent with Cf = 4%, FER = 7 and T1/2 = 30 min under 188 the room temperature of 25 ℃ was used in this study. The generated foam was used for the 189 observation of the microstructure and subsequent evaluation tests of the conditioned soil. The 190 generated foam was added after thoroughly mixing of tested soils and water (see Figure 6(a)). The 191 foam injection ratios (FIR) were set as 0%, 10%, 20%, and 30% for various soil samples. After that, the 192 injected foam and soil were stirred into a homogeneous mixture (see Figure 6(b)).  air and the surface is covered with liquid film. After 0.5 min of decay, the generated bubbles were 204 separated by the thick liquid film full of free water and microbubbles. The shape of bubble particle 205 was approximately circle or oval regardless of bubble size, as shown in Figure 8(a). After 5 min of 206 Waring-Blender test is as follows: (1) 100 ml foaming liquid (foaming agent + water) with different 184 concentration of foaming agent (Cf, vol.%) was added into a mixer; (2) the foaming liquid was 185 thoroughly mixed for 1 min at a rotational speed of 3000 rpm (revolutions per minute), as shown in 186 Figure 5(a). Then, the foamability (i.e., FER) and foam stability (i.e., T1/2) of the generated foam were 187 tested, as shown in Figure5(b). Finally, the foam agent with Cf = 4%, FER = 7 and T1/2 = 30 min under 188 the room temperature of 25 ℃ was used in this study. The generated foam was used for the 189 observation of the microstructure and subsequent evaluation tests of the conditioned soil. The 190 generated foam was added after thoroughly mixing of tested soils and water (see Figure 6(a)). The 191 foam injection ratios (FIR) were set as 0%, 10%, 20%, and 30% for various soil samples. After that, the 192 injected foam and soil were stirred into a homogeneous mixture (see Figure 6(b)).

Analysis of Decay Behavior of Foam Microstructure 200
Foam is a gas-liquid two-phase conditioner. The picture of foam microstructure before 201 treatment under 40-times magnification is clearly shown in Figure 7, and the pictures of 202 microstructure under different decay times are shown in Figure 8. The inside nucleus was filled with 203 air and the surface is covered with liquid film. After 0.5 min of decay, the generated bubbles were 204 separated by the thick liquid film full of free water and microbubbles. The shape of bubble particle 205 was approximately circle or oval regardless of bubble size, as shown in Figure 8(a). After 5 min of 206

Analysis of Decay Behavior of Foam Microstructure
Foam is a gas-liquid two-phase conditioner. The picture of foam microstructure before treatment under 40-times magnification is clearly shown in Figure 7, and the pictures of microstructure under different decay times are shown in Figure 8. The inside nucleus was filled with air and the surface is covered with liquid film. After 0.5 min of decay, the generated bubbles were separated by the thick liquid film full of free water and microbubbles. The shape of bubble particle was approximately circle or oval regardless of bubble size, as shown in Figure 8a. After 5 min of decay, the relatively large size bubbles became bigger, while the relatively small bubbles become smaller gradually until vanishment. The shape of bubbles started to be polygon, especially for large-size bubbles, as shown in Figure 8b. After 10 min of decay, the bubble size further became larger, and the bubbles were firmly attached to each other because of thinner liquid film induced by the loss of free water. The number of bubble particles decreased further on account of the vanishment of microbubbles and small bubbles because of the merger. The shape of the remaining bubbles became polygon, while the pentagon and hexagon were the most common, as shown in Figure 8c. After 15 min, 20 min, 25 min, and 30 min of decay, it can be seen that the bubble size further became larger and the liquid film further became thinner. The liquidity of the bubbles dried up gradually and the bubbles no longer had obvious deformations, as shown in Figure 8d-g. After 60 min of decay, the film was adsorbed and bent by the micro solid body and the bubble structure had all but disappeared (see Figure 8h). decay, the relatively large size bubbles became bigger, while the relatively small bubbles become 207 smaller gradually until vanishment. The shape of bubbles started to be polygon, especially for 208 large-size bubbles, as shown in Figure 8(b). After 10min of decay, the bubble size further became 209 larger, and the bubbles were firmly attached to each other because of thinner liquid film induced by 210 the loss of free water. The number of bubble particles decreased further on account of the 211 vanishment of microbubbles and small bubbles because of the merger. The shape of the remaining 212 bubbles became polygon, while the pentagon and hexagon were the most common, as shown in 213 Figure 8(c). After 15min, 20min, 25min, and 30min of decay, it can be seen that the bubble size 214 further became larger and the liquid film further became thinner. The liquidity of the bubbles dried 215 up gradually and the bubbles no longer had obvious deformations, as shown in Figure 8(d-g). After 216 60 min of decay, the film was adsorbed and bent by the micro solid body and the bubble structure 217 had all but disappeared (see Figure 8(h)).

223
The above phenomena were caused by the drainage of water in liquid film and air fusion 224 among bubbles [16]. The drainage of water in the liquid film was caused by gravity and pressure 225 difference. The free water flowed under the influence of gravity when the liquid film was full of free 226 water. Meanwhile, a plateau boundary was formed at the intersection of adjacent bubbles (see 227 Figure 9(a)). The movement of free water caused by pressure difference can be expressed by the 228 Laplace equation as follows: 229 decay, the relatively large size bubbles became bigger, while the relatively small bubbles become 207 smaller gradually until vanishment. The shape of bubbles started to be polygon, especially for 208 large-size bubbles, as shown in Figure 8(b). After 10min of decay, the bubble size further became 209 larger, and the bubbles were firmly attached to each other because of thinner liquid film induced by 210 the loss of free water. The number of bubble particles decreased further on account of the 211 vanishment of microbubbles and small bubbles because of the merger. The shape of the remaining 212 bubbles became polygon, while the pentagon and hexagon were the most common, as shown in 213 Figure 8(c). After 15min, 20min, 25min, and 30min of decay, it can be seen that the bubble size 214 further became larger and the liquid film further became thinner. The liquidity of the bubbles dried 215 up gradually and the bubbles no longer had obvious deformations, as shown in Figure 8(d-g). After 216 60 min of decay, the film was adsorbed and bent by the micro solid body and the bubble structure 217 had all but disappeared (see Figure 8(h)).

223
The above phenomena were caused by the drainage of water in liquid film and air fusion 224 among bubbles [16]. The drainage of water in the liquid film was caused by gravity and pressure 225 difference. The free water flowed under the influence of gravity when the liquid film was full of free 226 water. Meanwhile, a plateau boundary was formed at the intersection of adjacent bubbles (see 227 Figure 9(a)). The movement of free water caused by pressure difference can be expressed by the 228 Laplace equation as follows: 229 The above phenomena were caused by the drainage of water in liquid film and air fusion among bubbles [16]. The drainage of water in the liquid film was caused by gravity and pressure difference. The free water flowed under the influence of gravity when the liquid film was full of free water. Meanwhile, a plateau boundary was formed at the intersection of adjacent bubbles (see Figure 9a). The movement of free water caused by pressure difference can be expressed by the Laplace equation as follows: where P A , P B are the pressure at A point and B point, respectively; σ is surface tension of liquid film; and R is radius of constant volume circle. Free water flows from A point to B point when P A > P B , Appl. Sci. 2020, 10, 3300 9 of 16 as shown in Figure 9a. The existence of microbubbles in the liquid film hinders the movement of the free water and contributes to the stability of the bubble microstructure. When the angle of plateau boundary is 120 • , the pressure at A point and B point is the minimum, and the bubble is stable. Therefore, the shape of bubble in two-dimension plane is hexagon, which expresses the phenomena of existence of hexagon in Figure 8c

Results and Discussion of Mixing Test 256
Various amounts of water content (25 w.t.% and 40 w.t.%) and foam injection ratios (0 vol.%, 10 257 vol.%, 20 vol.%, and 30 vol.%) were added to the tested soil to achieve different conditioned soils. 258 Figure 10 shows the pictures of tested soils with various water content and FIR after 2 min of mixing.

259
For the soil sample with w = 25% &FIR = 0%, the soil composed of loose soil clumps, which was 260 caused by the gravel particle wrapped by silty clay and fine-medium sand, showed a dry, loose, and 261 rigid state, as shown in Figure 10(a). For w = 25% &FIR = 10%, w = 25% &FIR = 20%, and w = 25% 262 &FIR = 30%, the tested soils showed a sticky, stiff, and water shortage state, as shown in Figure  263 10(b-d). The foam could not work in a water shortage soil because the water in liquid film of foam 264 was easily absorbed by the unsaturated soil, which was found in the foam microstructure test. 265 Therefore, it was necessary to improve the water content in the tested soils before the addition of 266 foam, and then the other group soil samples with w = 40% were adopted. For tested soil with w = 40% 267 &FIR = 0%, the state was consistent and the flowability increased, as shown in Figure 10 Figure 9b shows the sketch of curved surface in three dimensional. The pressure difference can be expressed as follows: where ∆P is pressure difference, γ is coefficient of surface tension, and R 1 and R 2 are curvature radius at orthogonal plane. If the bubble is the standard spherical, then R 1 = R 2 = R, and then the Equation (6) can be changed to: The pressure difference between large size bubble and the adjacent small size bubble can be expressed as: where P s and P b are the pressure in small size bubbles and adjacent large size bubbles, respectively; and R s and R b are the radius of small size bubbles and adjacent large size bubbles, respectively. According to Equation (8), the air in small-size bubbles diffuses into adjacent large-size bubbles, and then the size of small bubbles becomes smaller until vanishment while adjacent large size bubbles become larger. The large size bubbles become larger as the micro and small bubbles are continuously captured by the neighboring large size bubbles with higher adsorption energy. To make the foam stable and maximum its effect, the water should be sufficient to prevent from the decay of foam microstructure induced by drainage of water.

Results and Discussion of Mixing Test
Various amounts of water content (25 w.t.% and 40 w.t.%) and foam injection ratios (0 vol.%, 10 vol.%, 20 vol.%, and 30 vol.%) were added to the tested soil to achieve different conditioned soils. Figure 10 shows the pictures of tested soils with various water content and FIR after 2 min of mixing. For the soil sample with w = 25% &FIR = 0%, the soil composed of loose soil clumps, which was caused by the gravel particle wrapped by silty clay and fine-medium sand, showed a dry, loose, and rigid state, as shown in Figure 10a. For w = 25% &FIR = 10%, w = 25% &FIR = 20%, and w = 25% &FIR = 30%, the tested soils showed a sticky, stiff, and water shortage state, as shown in Figure 10b-d. The foam could not work in a water shortage soil because the water in liquid film of foam was easily absorbed by the unsaturated soil, which was found in the foam microstructure test. Therefore, it was necessary to improve the water content in the tested soils before the addition of foam, and then the other group soil samples with w = 40% were adopted. For tested soil with w = 40% &FIR = 0%, the state was consistent and the flowability increased, as shown in Figure 10e. For w = 40% &FIR = 10%, w = 40% &FIR = 20%, and w = 40% &FIR = 30%, the tested soils were turned into a loose and fluffy state, where the soil volume left on the rod decreased as FIR increased, as shown in Figure 10f

277
Each mixing test was conducted for 2 min and the mixing time necessary to obtain a 278 homogeneous mixture without apparent foam was recorded by a timer, as shown in Figure 11. The 279 time used for foamed soils with w = 25% &FIR = 10% was less than the time used for foamed soils 280 with w = 25% &FIR = 20%. This might have been caused by the smaller amount and faster defoaming 281 in tested soils with w = 25% &FIR = 10%. For tested soils with w = 40%, the general mixing time was 282 less than tested soils with w = 25% because the soils already had a good flowability at w = 40%. The 283 general mixing time for soils with w = 40% decreased as FIR increased, which might have been 284 caused by the decrease of viscosity induced by foam dispersion and increase of flowability induced 285 by foam lubrication. 286 Meanwhile, the net power of the electric mixer motor with a resolution of 1 W was monitored 287 during the mixing test, as shown in Figure 12. The net power value and fluctuation value induced by 288 the soils with w = 25% were higher than tested soils with w = 40%, which might have been caused by 289 the poor liquidity and high viscosity. The average net power and standard deviation, as well as the 290 change rate of the net power for various tested soils, are further plotted in Figure 13. Figure 13(a) 291 indicates that the fluctuation of net power for tested soils with w = 25% did not change significantly 292 Each mixing test was conducted for 2 min and the mixing time necessary to obtain a homogeneous mixture without apparent foam was recorded by a timer, as shown in Figure 11. The time used for foamed soils with w = 25% &FIR = 10% was less than the time used for foamed soils with w = 25% &FIR = 20%. This might have been caused by the smaller amount and faster defoaming in tested soils with w = 25% &FIR = 10%. For tested soils with w = 40%, the general mixing time was less than tested soils with w = 25% because the soils already had a good flowability at w = 40%. The general mixing time for soils with w = 40% decreased as FIR increased, which might have been caused by the decrease of viscosity induced by foam dispersion and increase of flowability induced by foam lubrication. Meanwhile, the net power of the electric mixer motor with a resolution of 1 W was monitored during the mixing test, as shown in Figure 12. The net power value and fluctuation value induced by the soils with w = 25% were higher than tested soils with w = 40%, which might have been caused by the poor liquidity and high viscosity. The average net power and standard deviation, as well as the change rate of the net power for various tested soils, are further plotted in Figure 13. Figure 13a indicates that the fluctuation of net power for tested soils with w = 25% did not change significantly with increase of FIR, while the fluctuation of net power for tested soils with w = 40% decreased drastically as the FIR increased from 0% to 10%. Figure 13b shows the change rate of net power with FIR. For tested soils with w = 25%, the change rate of net power increased as FIR increased from 0% to 10% and then decreased with the further injection of foam. This might have been caused by the increase of viscosity in the mixed soils because of the defoaming of foam at w = 25% &FIR = 10% caused by insufficient water in soil. However, the net power of tested soils with w = 40% decreased by 50% as FIR increased from 0% to 30%, which might have been caused by the decrease of viscosity and increase of flowability in the mixed soils because of the dispersion and lubrication induced by enough air bubbles. The decrease of net power value and fluctuation value in the mixing test means that the cutter head torque, as well as electric energy, could be decreased during EPBS tunneling after the reasonable application of soil conditioning in this mixed soil.

Result and Discussion of Slump Test
After the mechanical mixing test, a series of slump tests were carried out in triplicate on each soil sample to evaluate the workability and flowability of the conditioned soils quantitatively. Figure 14 shows the selected pictures of the slump test, and the test results are summarized in Table 3. For conditioned soils with w = 25% regardless of foam injection ratio, the soil sample was dry, rigid, and stiff, such that they either stood straight with very small drop value (see Figure 14a-c) or collapsed (see Figure 14d) once the cones were lifted. For tested soils with w = 25% in Table 3, the slump values show that the foamed soil had a small increase in liquidity as FIR increased, although a collapse still occurred after the lifting of the cone. It was hard to obtain a desirable state when w = 25%.
Proper slump values of 100-200 mm were obtained when the water content was improved to 40% regardless of foam injection ratio. The mean slump values of w = 40% &FIR = 0%, w = 40% &FIR = 10%, w = 40% &FIR = 20%, and w = 40% &FIR = 30% were 154.3 mm, 174.7 mm, 179.0 mm, and 182.3 mm, respectively, as shown in Table 3. The slump value increased as the foam injection ratio increased. Figure 14e-h shows that the foamed soils with w = 40% had an increased liquidity and no collapse occurred. It indicates that the flowability of tested soils with w = 40% was improved dramatically after the improvement of water content, and the flowability increases with increase of FIR. Tested soils with w = 40% regardless of FIR meet the requirement of EPBS tunneling according to the slump value. It also indicates that if the water content is enough, even low FIR can cause it to be too fluid-like [3].

Result and Discussion of Slump Test 313
After the mechanical mixing test, a series of slump tests were carried out in triplicate on each 314 soil sample to evaluate the workability and flowability of the conditioned soils quantitatively. Figure  315 14 shows the selected pictures of the slump test, and the test results are summarized in Table 3. For 316 conditioned soils with w = 25% regardless of foam injection ratio, the soil sample was dry, rigid, and 317 stiff, such that they either stood straight with very small drop value (see Figure 14(a-c)) or collapsed 318 (see Figure 14(d)) once the cones were lifted. For tested soils with w = 25% in Table 3, the slump 319 values show that the foamed soil had a small increase in liquidity as FIR increased, although a 320 collapse still occurred after the lifting of the cone. It was hard to obtain a desirable state when w = 321

Results and Discussion of Friction Coefficient Test 339
The friction coefficient test device, developed by the China University of Geosciences in Beijing, 340 China, was adopted to conduct the friction coefficient test in triplicate on each tested soil after the 341 mechanical mixing test. The angle of external friction and friction coefficient are shown in Figure 15.

342
For soil group with w = 25%, it can be seen that the friction angle and friction coefficient first 343 increased to an apparent maximum as the FIR increases from FIR = 0% (without foam) to FIR = 10%. 344 As the FIR continued to increase beyond 10% until FIR = 30%, the friction angle and friction 345 coefficient decreased. The trend is consistent with the trend of net motor power in Figure 13, which 346 might have been caused by the increase of viscosity because of dissolution of foam. For the tested 347 soils with w = 40% regardless of FIR, the friction angle and friction coefficient were less than the 348 tested soils with w = 25% and they decreased as FIR increased from 0% to 30%, as shown in Figure  349 15. This also indicates that the increase of water dramatically changes the characteristics of tested

Results and Discussion of Friction Coefficient Test
The friction coefficient test device, developed by the China University of Geosciences in Beijing, China, was adopted to conduct the friction coefficient test in triplicate on each tested soil after the mechanical mixing test. The angle of external friction and friction coefficient are shown in Figure 15. For soil group with w = 25%, it can be seen that the friction angle and friction coefficient first increased to an apparent maximum as the FIR increases from FIR = 0% (without foam) to FIR = 10%. As the FIR continued to increase beyond 10% until FIR = 30%, the friction angle and friction coefficient decreased. The trend is consistent with the trend of net motor power in Figure 13, which might have been caused by the increase of viscosity because of dissolution of foam. For the tested soils with w = 40% regardless of FIR, the friction angle and friction coefficient were less than the tested soils with w = 25% and they decreased as FIR increased from 0% to 30%, as shown in Figure 15. This also indicates that the increase of water dramatically changes the characteristics of tested soils firstly, and then the foam reduces the viscosity and improve the flowability. The increase of flowability and decrease of viscosity are good for the discharging of the mixed soil in soil chamber through screw conveyor during EPBS operation in soft ground.

Conclusions 357
This article presents the results of an experimental study, which assessed the influence of foam 358 on a mixed soil consisting of silty clay, fine-medium sand, and sandy gravel utilizing several 359 geotechnical methods to provide a reference for soil conditioning on mixed soils often encountered 360 in EPBS tunneling. Based on the preliminary tests conducted in this study, the main findings specific 361 to the soils and conditioners tested in this study can be summarized as follows: 362 Foam microstructure changes with the decay of the liquid film. The microstructure test carried 363 out in this study showed that the bubbles decayed as the time went by and the decay mechanism 364 was the drainage of water in the liquid film caused by the gravity and pressure difference, and the 365 foam fusion among various size bubbled due to the pressure difference. 366 Water plays an important role in modifying the characteristics of the mixed soil. When the 367 water was at the low level (w = 25%), the foam failed to modify the properties of the mixed soil 368 because of its failure behavior of foam particle induced by the tested soil with insufficient water 369 content. However, when w = 40%, the flowability increased and viscosity decreased dramatically.

370
Foam plays an important role in increasing flowability and decreasing viscosity when the water 371 is sufficient in the mixed soil. The mixed soil in this study could be modified into a proper state to 372 meet the slump requirement of 100-200 mm by mixing the foam with the water content of 40%. 373 Foam could maximum its effect when the mixed soil with sufficient water content (i.e., 40%). 374 When the water content was 40%, the mixing time, net power value and fluctuation value, 375 slump value, external friction angle and friction coefficient were better than soil samples with water 376 content of 25%. The net power caused by mixed soil with w = 40% and FIR = 30% could decrease by 377 approximately 50%. The foam could improve the properties of mixed soil further when the water is 378 sufficient.

Conclusions
This article presents the results of an experimental study, which assessed the influence of foam on a mixed soil consisting of silty clay, fine-medium sand, and sandy gravel utilizing several geotechnical methods to provide a reference for soil conditioning on mixed soils often encountered in EPBS tunneling. Based on the preliminary tests conducted in this study, the main findings specific to the soils and conditioners tested in this study can be summarized as follows: Foam microstructure changes with the decay of the liquid film. The microstructure test carried out in this study showed that the bubbles decayed as the time went by and the decay mechanism was the drainage of water in the liquid film caused by the gravity and pressure difference, and the foam fusion among various size bubbled due to the pressure difference.
Water plays an important role in modifying the characteristics of the mixed soil. When the water was at the low level (w = 25%), the foam failed to modify the properties of the mixed soil because of its failure behavior of foam particle induced by the tested soil with insufficient water content. However, when w = 40%, the flowability increased and viscosity decreased dramatically.
Foam plays an important role in increasing flowability and decreasing viscosity when the water is sufficient in the mixed soil. The mixed soil in this study could be modified into a proper state to meet the slump requirement of 100-200 mm by mixing the foam with the water content of 40%. Foam could maximum its effect when the mixed soil with sufficient water content (i.e., 40%).
When the water content was 40%, the mixing time, net power value and fluctuation value, slump value, external friction angle and friction coefficient were better than soil samples with water content of 25%. The net power caused by mixed soil with w = 40% and FIR = 30% could decrease by approximately 50%. The foam could improve the properties of mixed soil further when the water is sufficient.