effectofosmoticpressureonmigrationbehaviorof nznoingcls · 2019. 7. 30. · researcharticle...

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Research Article Effect of Osmotic Pressure on Migration Behavior of nZnO in GCLs Ping Yang, 1 Tao Jiang , 2 Youlong Zhang, 3 and Zhicheng Li 4 1 Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai, China 2 Department of Geotechnical Engineering, Tongji University, Shanghai, China 3 China Aviation International Construction and Investment Co. Ltd, Beijing, China 4 Department of Geotechnical Engineering, Tongji University, Shanghai, China Correspondence should be addressed to Tao Jiang; [email protected] Received 14 June 2018; Revised 21 August 2018; Accepted 18 September 2018; Published 16 October 2018 Academic Editor: Annan Zhou Copyright © 2018 Ping Yang et al. is is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. e migration of zinc oxide nanoparticles (nZnO) in geosynthetic clay liners (GCLs) under different osmotic pressures was conducted using a self-developed geosynthetic clay liner osmometer. e effects of the osmotic pressure on the migration behavior of nZnO in GCLs were analyzed. e results showed that, with an increase of osmotic pressure, the retention rate of nZnO increased greatly, the particle size increased, the stability of the soliquoid declined, GCLs pores were compressed, the infiltration coefficient of GCLs reduced, and the interception effect of GCLs on nZnO particles strengthened. e two-site model can simulate the migration behavior of nZnO in GCLs very well. e correlativity between the maximum migration distance (L max )ofnZnOin GCLs and the osmotic pressure was negative. 1. Introduction Zinc oxide nanopartilces (nZnO) are a high-performance inorganic product and are currently one of the most widely used engineered nanoparticles (ENPs) in the world [1, 2]. However, Collins [3] reported that nZnO can affect the survival of organisms in the soil and can even change their community structure. At concentrations of 50 and 100 mg/L, nZnO exhibited cytotoxicity in Neuro-2A cells [4]. More- over, nZnO can reach the membranes of human aortic endothelial cells (HAECs) and can be absorbed. At a con- centration of 10 mg/L, nZnO induced a conspicuous in- flammatory response in HAECs. At higher concentrations, nZnO could lead to HAEC necrosis [5]. e toxic effects of nZnO on human lung adenocarcinoma cells (A549) were concentration-dependent and time-dependent [6]. Deng [7] holded that the cytotoxicity of nZnO was mainly caused by the dissolved zinc ions. Solid waste landfill leaking is a key path for nanoparticles to enter the natural environment [8]. With increasing ap- plication of nano materials, large amounts of nanoparticles have entered landfills as three types of waste [9]. Nano- particles in liquid waste can easily enter the leachate of landfill. Bolyard et al. [10] and Khan et al. [11] have found that nanoparticles suspended in leachate can migrate suc- cessfully through garbage soil. Current studies have mostly adopted column elution tests to simulate nanoparticle mi- gration in the soil. e testing systems mainly consisted of a suspension of nZnO particles (nZnO suspension) and a porous medium [12]. e porous medium was typically composed of quartz sand, silica sand, and glass beads, which serve as a simplified replacement of natural soil. e physical and chemical properties of the porous medium are dis- tinctively different from those of natural soil. Research re- sults showed that the migration of carbon nanotubes was weaker in quartz sand than in glass beads [13]. e smaller the particle size of quartz sand is, the weaker the migration of nanoparticles is. When the particle size of quartz sand de- creased from 0.106mm to 0.043 mm, the concentration of nanoparticles in the effluent declined by 60% [14]. Similar patterns have also been observed in nTiO 2 and nAg in subsequent studies [15]. e interception ratio of nC60 in Hindawi Advances in Civil Engineering Volume 2018, Article ID 6703485, 9 pages https://doi.org/10.1155/2018/6703485

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Page 1: EffectofOsmoticPressureonMigrationBehaviorof nZnOinGCLs · 2019. 7. 30. · ResearchArticle EffectofOsmoticPressureonMigrationBehaviorof nZnOinGCLs PingYang,1 TaoJiang ,2 YoulongZhang,3

Research ArticleEffect of Osmotic Pressure on Migration Behavior ofnZnO in GCLs

Ping Yang,1 Tao Jiang ,2 Youlong Zhang,3 and Zhicheng Li4

1Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai, China2Department of Geotechnical Engineering, Tongji University, Shanghai, China3China Aviation International Construction and Investment Co. Ltd, Beijing, China4Department of Geotechnical Engineering, Tongji University, Shanghai, China

Correspondence should be addressed to Tao Jiang; [email protected]

Received 14 June 2018; Revised 21 August 2018; Accepted 18 September 2018; Published 16 October 2018

Academic Editor: Annan Zhou

Copyright © 2018 Ping Yang et al. +is is an open access article distributed under the Creative Commons Attribution License,which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

+e migration of zinc oxide nanoparticles (nZnO) in geosynthetic clay liners (GCLs) under different osmotic pressures wasconducted using a self-developed geosynthetic clay liner osmometer.+e effects of the osmotic pressure on themigration behaviorof nZnO in GCLs were analyzed. +e results showed that, with an increase of osmotic pressure, the retention rate of nZnOincreased greatly, the particle size increased, the stability of the soliquoid declined, GCLs pores were compressed, the infiltrationcoefficient of GCLs reduced, and the interception effect of GCLs on nZnO particles strengthened.+e two-site model can simulatethe migration behavior of nZnO in GCLs very well. +e correlativity between the maximummigration distance (Lmax) of nZnO inGCLs and the osmotic pressure was negative.

1. Introduction

Zinc oxide nanopartilces (nZnO) are a high-performanceinorganic product and are currently one of the most widelyused engineered nanoparticles (ENPs) in the world [1, 2].However, Collins [3] reported that nZnO can affect thesurvival of organisms in the soil and can even change theircommunity structure. At concentrations of 50 and 100mg/L,nZnO exhibited cytotoxicity in Neuro-2A cells [4]. More-over, nZnO can reach the membranes of human aorticendothelial cells (HAECs) and can be absorbed. At a con-centration of 10mg/L, nZnO induced a conspicuous in-flammatory response in HAECs. At higher concentrations,nZnO could lead to HAEC necrosis [5]. +e toxic effects ofnZnO on human lung adenocarcinoma cells (A549) wereconcentration-dependent and time-dependent [6]. Deng [7]holded that the cytotoxicity of nZnO was mainly caused bythe dissolved zinc ions.

Solid waste landfill leaking is a key path for nanoparticlesto enter the natural environment [8]. With increasing ap-plication of nano materials, large amounts of nanoparticles

have entered landfills as three types of waste [9]. Nano-particles in liquid waste can easily enter the leachate oflandfill. Bolyard et al. [10] and Khan et al. [11] have foundthat nanoparticles suspended in leachate can migrate suc-cessfully through garbage soil. Current studies have mostlyadopted column elution tests to simulate nanoparticle mi-gration in the soil. +e testing systems mainly consisted ofa suspension of nZnO particles (nZnO suspension) anda porous medium [12]. +e porous medium was typicallycomposed of quartz sand, silica sand, and glass beads, whichserve as a simplified replacement of natural soil. +e physicaland chemical properties of the porous medium are dis-tinctively different from those of natural soil. Research re-sults showed that the migration of carbon nanotubes wasweaker in quartz sand than in glass beads [13]. +e smallerthe particle size of quartz sand is, the weaker themigration ofnanoparticles is. When the particle size of quartz sand de-creased from 0.106mm to 0.043mm, the concentration ofnanoparticles in the effluent declined by 60% [14]. Similarpatterns have also been observed in nTiO2 and nAg insubsequent studies [15]. +e interception ratio of nC60 in

HindawiAdvances in Civil EngineeringVolume 2018, Article ID 6703485, 9 pageshttps://doi.org/10.1155/2018/6703485

Page 2: EffectofOsmoticPressureonMigrationBehaviorof nZnOinGCLs · 2019. 7. 30. · ResearchArticle EffectofOsmoticPressureonMigrationBehaviorof nZnOinGCLs PingYang,1 TaoJiang ,2 YoulongZhang,3

clay-containing soil specimens was far higher than that inquartz sand and glass beads. +e interception in soil spec-imens was irreversible [16]. +e findings indicated that soilproperties exert significant influence on nanoparticle mi-gration in soil. In addition, specific chemical properties ofthe suspension (e.g., ionic strength, organic matter content,surface active agents, and pH values) can indirectly affect themigration behavior of nanoparticles in a porous medium byinfluencing nanoparticle scattering and suspension stability[17, 18, 19, 20].

Aforementioned research on the migration of nano-particles in ideal porous media (e.g., glass beads and quartzsand) or sand obtained preliminary results [21, 22]. +e NPsmigration and sorption processes are related to the soilproperties differentiation [23]. Until now, no publishedstudies have considered the influence of osmotic pressure onthe migration properties of nanoparticles in a porous me-dium. A previous test conducted at landfill sites indicatedthat the water level of leachate inside landfills could be ashigh as 20m–30m [24]. Geosynthetic clay liner (GCL) wasused as the last barrier preventing garbage leachate to enterthe natural environment [25]. Whether can GCLs effectivelyintercept nanoparticles under high osmotic pressure?+erefore, it is an important issue that how osmotic pressurein landfill leachate impacts on migration behaviors of nZnOparticles from GCLs to the groundwater.

2. Experimental Materials and Methods

2.1. Material

2.1.1. Geosynthetic Clay Liner. +e GCL was prepared bystitching sodium bentonite particles between two layers ofgeotextiles. According to the data provided by the GCLmanufacturer, the bottom layer was woven geotextile witha unit mass of 221 g/m3, the top layer was nonwoven geo-textile with a unit mass of 112 g/m3, and the middle layer wasbentonite. +e performance of GCL and properties ofbentonite are shown in Tables 1 and 2, respectively. +estructural representation of the GCL is shown in Figure 1.

2.1.2. Preparation of the nZnO Suspension. nZnO particleswere synthesized by a solid reaction process in this exper-iment. +e specific processes are as follows:

(1) After a specific amount of nZnO had been scatteredin an adequate amount of deionized water, themixture was subjected to an ultrasonic crusher. +enZnO suspension achieved optimal scattering whenthe frequency, temperature, and time of the ultra-sonic crusher were set at 28 kHz, 50°C, and 25min,respectively [26].

(2) +e experiment employed inductively coupledplasma mass spectrometry (ICP) to measure theconcentrations of nZnO suspensions. When theconcentrations of elements differed, the suspensionsemitted characteristic lights of varying intensity.Quantitative analysis was conducted using thisproperty. +e measuring process included the

following steps: (i) tetraacetic acid digestion toprocess the dispersion (the acid converted nZnO tozinc ions; the acid also dissolved soil and otherimpurities); (ii) ICP to measure the concentrationof zinc ions and to calculate the concentration ofnZnO suspension; and (iii) ZetaPALS to measurethe zeta potential of the solution. +e zeta potentialis a measurement of the intensity of mutual re-pulsion or attraction among particles. +e zetapotential represents the stability of colloidal dis-persion. Table 3 shows the dispersion properties ofnZnO suspension which is gotten as describedabove.

2.2. Experimental Setup. +e osmometer self-developedcomprised a pressure control system (composed of a pres-sure controller, an air pressure pump, and a pressure gauge),a temperature control system (a constant temperature sink),an infiltration chamber, and an automatic collector. +evarious parts of the system were connected by plexiglasshollow tubes to form a closed system (Figure 2). Osmoticpressure could be adjusted from 0.1MPa to 0.5MPa usinga pneumatic pump.

Table 1: Basic performance of GCLs.

ParametersMass per unit area (kg/m2) 5.56+ickness (mm) 6.78Longitudinal breaking strength (kN/m) 11.85Transverse breaking strength (kN/m) 10.28Longitudinal breaking elongation (%) 19.50Transverse breaking elongation (%) 10.67Vertical permeability coefficient (m/s) 2.69×10−9

Sodium bentonite content (kg/m2) 5.32

Table 2: Basic properties of bentonite.

Mineral composition (%)

Montmorillonite 67Kaolinite 14Illite 12

Orthoclase 4Quartz 2

Chemical composition (%)

SiO2 57.2Al2O3 16.5CaO 3.4TiO2 0.8Fe2O3 5.7Na2O 3.3K2O 0.7MgO 3.7

Ion exchange capacity (mmol/g)

Na+ 0.445K+ 0.010Ca2+ 0.159Mg2+ 0.017

Initial water content (%) 17.0Initial thickness (mm) 6.65pH 9.89∼10.67

2 Advances in Civil Engineering

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2.3. Experimental Methods. To investigate the e�ects ofvarying osmotic pressure on the migration of nZnO particlesin GCLs, �ve osmotic pressure levels were set according tothe water level of land�ll leachate. Table 4 shows the ex-perimental parameters.

�e experiment steps were as follows:

(1) Inject 20 pore volumes (PV, obtained by dividingexudate volume by GCLs pore volume) of deionizedwater into the in�ltration chamber and in�ltrateGCLs under a speci�c pressure.

(2) Mix nZnO granule stock solution with a suitableamount of background solution at a speci�c pro-portion and use a magnetic stirrer to stir for 3 h toensure complete mixing.

(3) Inject uniformly mixed nZnO granule suspensioninto the in�ltration chamber and set a correspondingosmotic pressure using the control system.

(4) Collect exudate every 1/3 PV.

(5) When 15 PV of exudate have been collected, elutenZnO particles that have been intercepted in theGCLs using 5 PV of deionized water.

(6) Collect the exudate at the bottom of the in�ltrationchamber by using an automatic collector and cen-trifuge tubes. All exudate samples obtained throughin�ltration and elution were collected in 5mL cen-trifuge tubes.

(7) Measure nZnO particle concentration using ICP.

Nonwoven geotextile

Bentonite

Woven geotextile

Figure 1: Structural representation of the GCL.

Table 3: �e basic properties of nZnO suspensions.

Component State Particle distribution range Dispersive medium pH Zeta potential ConcentrationnZnO Pure white uniform colloid 2∼40 nm Deionized water 10∼11 37mV 50mg/L

Pressure gauge

Nanoparticle dispersion

GCL

Permeate

Pressure controller

Pneumatic pump

�ermostatic water bath

Figure 2: Schematic diagram of GCLs permeameter.

Table 4: �e parameters of experiment.

Experimental condition Osmotic pressureInitial concentration 50mg/L

From 0.1 to 0.5MPaIonic strength 1mmol/LOrganic content 1mg/LTemperature 30°CNote. C� degrees centigrade.

Advances in Civil Engineering 3

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Mark the concentration of nZnO particles before in-�ltrating GCLs as C0 and that in the exudate collected afterin�ltrating GCLs as C. After the experiment has beencompleted, adopt the PV number as the abscissa and C/C0 asthe ordinate to plot a breakthrough curve (BTC) of nZnOparticles. �e maximum C/C0 indicates maximum break-through equilibrium concentration (Cmax). When at leastthree consecutive C/C0 values are ≥95 percent of the Cmax,it is de�ned as equilibrium in the breakthrough curve. �esmallest PV value corresponding to Cmax is de�ned as theequilibrium critical PV.

�e compression test and in�ltration test of GCLs wereconducted with Chinese standard for soil test method (GB/T50123-1999).

2.4.�eoreticalModel. �is study adopted a two-site kineticattachment model in porous media proposed by van Gen-uchten and Wagenet [27] to analyze the migration ofnanoparticles in porous media. �e dimensionless form ofthe two-site kinetic attachment model can be expressed as:

zC1

zT+(βR− 1)

zC1

zT+(1− β)R

zS

zT�

1Pe

z2C1

zX2 −zC1

zX,

(1− β)RzS

zT� ω C1 − S( ),

(1)

where C1 is the relative concentration C/C0; β is the fractionof instantaneous retardation, denoting the distribution ofinstantaneous equilibrium and rate-limited site types; ω isthe Damkohler number, which is the ratio between theretention time and the characteristic absorption time inhydrodynamics; T is the number of pore volumes; S is thetotal adsorption; Pe is the Peclet number, which is a di-mensionless number designating the ratio between theconvection rate and the di�usion rate; and R is the re-tardation factor, re¤ecting the characteristics of retardationnanoparticles exhibit in migrating through the porousmedium.

3. Analysis of Experimental Results

3.1. BTC of nZnO Particles under Varying Osmotic Pressures.Figure 3 shows the breakthrough curve of nZnO particles atvarying pressures. �e parameters of the BTC are shown inTable 5.

When the pressure rises from 0.1MPa to 0.5MPa, thecritical PV rises from 7.5 to 9.8. As pressure increases, themaximum equilibrium concentration Cmax declines, and theinterception ratio increases.When the osmotic pressure risesfrom 0.1MPa to 0.5MPa, the maximum equilibrium con-centration Cmax drops from 40.04mg/L to 20.145mg/L. Atthe same time, the total rejection rate of nZnO particles inGCLs increases from 48.21% to 82.04%. In the experiments,the interception ratio was 82.04% under an osmotic pressureof 0.5MPa, meaning that a substantial quantity of nZnOparticles deposited in GCLs, with only 17.96% of the par-ticles migrating from GCLs and only 0.18% of the particlesmigrating out of the GCLs. Both the maximum equilibrium

concentration Cmax and interception ratio of nZnO particlesunder varying osmotic pressures indicated that the migra-tion properties of nZnO particles in GCLs weakened whenosmotic pressure increased.

3.2. E�ect of Varying Osmotic Pressure onTransportation Parameters

3.2.1. E�ect of Osmotic Pressure on the Stability of nZnOSuspension. �e test results of the particles size and zetapotential of the nZnO particle suspensions under di�erentosmotic pressures are shown in Figure 4. �e results in-dicated that pressure can cause nZnO particles to grow insize and agglomerate and reduce the scattering stability ofthe nZnO suspension.�e test results revealed that when theosmotic pressure rose from 0.1MPa to 0.5MPa, the zetapotential of the nZnO suspension rose from −38.6mV to−34.2mV and the size of nZnO particles increased by 5.8%from 317.1 nm to 335.5 nm.

3.2.2. E�ect of Osmotic Pressure on the Microstructure andIn�ltration Properties of GCLs. Under pressure changes, theporosity ratios of GCLs change accordingly. �is studyperformed a compression test on the GCLs to obtaina compression curve (Figure 5). When the pressure rosefrom 0.1MPa to 0.5MPa, the GCLs porosity ratio decreasedfrom 7.9 to 2.1. Speci�cally, at the initial stage of pressureapplication (0.05–0.20MPa), the extent of change in theporosity ratio was relatively small because the pressureexerted relatively little force on the internal structure ofGCLs. When the pressure increased from 0.2MPa to0.35MPa, relatively high pressure accelerated the GCLsporosity change rate, causing the porosity ratio to decreaseby 62.5% (i.e., from 6.4 to 2.4), the pressure had a relatively

0 5 10 15 200.0

0.2

0.4

0.6

0.8

1.0

Pressure0.1MPa0.2MPa0.3MPa

0.4MPa0.5MPa

C/C 0

PV

Figure 3: BTC of nZnO particles under di�erent osmoticpressures.

4 Advances in Civil Engineering

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large e�ect on the internal structure of GCLs. Finally, be-cause the consolidation e�ect in the preceding stages hadfully compressed the GCLs, changes in the GCLs porosityratio were inconspicuous in the last stage of compression(0.35–0.5MPa), and the porosity ratio remained between 2.0

and 2.4. �erefore, osmotic pressure exerted notable e�ectson GCLs microstructure.

�e GCLs in�ltration coe©cients under varying pres-sures were tested using the in�ltration test (Figure 6). �etest results indicated that, with continual increases in os-motic pressure, GCLs in�ltration coe©cients continuallydecreased. When the osmotic pressure reached 0.35MPa,the extent of change in in�ltration coe©cients was reduced.

�e e�ect of pressure on the migration performance ofnZnO particles in GCLs has a certain e�ect. �e migrationperformance of nZnO particles deteriorates as the pressureincreases. �is is mainly due to the fact that nZnO particlestend to agglomerate in suspension as the pressure increases,and the nZnO particle size becomes larger, which is notconducive to its migration in porous media. In addition,pressure a�ects the microstructure of GCLs. Pressure causesthe GCLs pores to decrease and the permeability to decrease.�e retention of nZnO particles by GCLs is enhanced.

3.3.Mechanism of E�ect of Osmotic Pressure on nZnOParticleMigration in GCLs. �e two-site model was used to �t thebreakthrough curves of nZnO particles in GCLs underdi�erent osmotic pressures. �e results of the simulation areshown in Figure 7.�e coincidence between the �tting curveand the measured data is good.When the pressure was lower

Table 5: Parameters of the BTC.

Osmoticpressure(MPa)

Critical PV Cmax (mg/L) Total rejection rate (%) Desorption rate/reversible rejection rate (%)

0.1 7.5 40.04 48.21 3.910.2 7.8 40.515 57.00 2.780.3 8.3 30.095 65.48 1.890.4 8.4 30.54 75.38 0.840.5 9.8 20.145 82.04 0.18

0.0 0.1 0.2 0.3 0.4 0.5 0.6–40

–39

–38

–37

–36

–35

–34

–33

–32

–31

–30

Zeta

pot

entia

l (m

V)

Pressure (MPa)0.0 0.1 0.2 0.3 0.4 0.5 0.6

300

310

320

330

340

350

Part

icle

size

(nm

)

Pressure (MPa)

Figure 4: (a) Zeta potential of nZnO suspension and (b) particle size of nZnO particles under di�erent osmotic pressures.

0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.550.00Osmotic pressure (MPa)

0

2

4

6

8

10

Void

ratio

Figure 5: GCLs compression curve.

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Experimental dataSimulation curve

0.0

0.2

0.4

0.6

0.8

1.0

PV0 5 10 15 20

C/C 0

(a)

Experimental dataSimulation curve

0 5 10 15 200.0

0.2

0.4

0.6

0.8

1.0

PV

C/C 0

(b)

0.0

0.2

0.4

0.6

0.8

1.0

PV

Experimental dataSimulation curve

0 5 10 15 20

C/C 0

(c)

Experimental dataSimulation curve

0.0

0.2

0.4

0.6

0.8

1.0

PV0 5 10 15 20

C/C 0

(d)

Figure 7: Continued.

0

50

100

150

200

250

300

Perm

eabi

lity

coef

ficie

nt (1

0–11 m

/s)

0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.550.00Osmotic pressure (MPa)

Figure 6: GCLs permeability coe©cient under di�erent osmotic pressures.

6 Advances in Civil Engineering

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than 0.3MPa, the infiltration coefficients and void ratio ofGCLs decrease quickly with increase of pressure. So, in thefirst 5 PV, the coincidence between the fitting curve and themeasured data is relatively low. +is indicates that the two-site model can describe the migration process very well. Inaddition, the coefficient of correlation (R2) also notes thatthe two-site model has a better fitting effectiveness for themigration process, as shown in Table 6, R2 are all above0.945. Of the four dimensionless parameters, pressure hadrelatively large influences on the Pe, R, and ω. Specifically, Pedropped when pressure rose, which indicated that theconvection effect of nZnO particles weakened in the GCLs.+is phenomenon happened because pressure reducedGCLs porosity so that the flow rate of the suspension slowedin the GCLs. R was positively correlated with pressure.Greater values of R indicated that the nanoparticles en-countered greater retardation when nanoparticles migratedin the porous medium. +erefore, the retardation effect ofGCLs on nZnO particles became increasingly conspicuousas pressure increased.

3.4. Maximum Migration Distance of Nanoparticles. +emaximum migration distance (Lmax) of nanoparticles inporous media is defined as the migration distance when 99%of nanoparticles (i.e., c/c0 � 0.01) are trapped. +e two-sitemodel can accurately describe the migration process ofnZnO particles in GCLs. +erefore, we adopted the two-sitemodel to simulate the relationship between C/C0 of nZnOparticles and the migration distance (z) in GCLs underdifferent experimental conditions by the CXTFITmodule ofthe STANMOD software and to acquire the Lmax.+e resultsof the simulation are shown in Figure 8. From the simulationresults, the correlativity between Lmax and osmotic pressureis negative. It is also proved that the migration properties ofnZnO particles in GCLs drop down with the osmoticpressure increasing.

4. Conclusion

Along with increasing pressure, the zeta potential amongnZnO particles decreased, the maximum energy barrier

Experimental dataSimulation curve

0.0

0.2

0.4

0.6

0.8

1.0

PV0 5 10 15 20

C/C 0

(e)

Figure 7: +e two-site model simulation results. Pressure: (a) 0.1MPa; (b) 0.2MPa; (c) 0.3MPa; (d) 0.4MPa; (e) 0.5MPa.

Table 6: +e fitting values of the dimensionless parameters in thetwo-site model.

Osmotic pressure(MPa) Pe R β ω R2

0.1 251.2448 61.9311 0.4014 0.0632 0.9880.2 229.2961 128.8189 0.3910 0.0981 0.9880.3 69.3585 170.7667 0.3244 0.5214 0.9790.4 62.3821 385.2743 0.3065 1.1122 0.9770.5 36.7632 501.5935 0.3874 2.3723 0.945

0 10 20 30 40 50 60 700.0

0.2

0.4

0.6

0.8

1.0

0.1MPa0.2MPa0.3MPa

0.4MPa0.5MPa

C/C 0

Migration distance (mm)

Figure 8: Migration distance simulation results.

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(Φmax) reduced gradually, the agglomeration properties ofnZnO strengthened, and the tension-induced interception ofnZnO particles in GCLs increased.

Along with increasing pressure, GCLs pores werecompressed, the infiltration coefficient of GCLs reduced, andthe interception effect of GCLs on nZnO particlesstrengthened.

+e two-site model can accurately describe themigrationprocess of nZnO particles in GCLs.+emigration propertiesof nZnO particles in GCLs drop down with the osmoticpressure increasing.

+e correlativity between Lmax and osmotic pressure isnegative. It is also proved that the migration properties ofnZnO particles in GCLs drop down with the osmoticpressure increasing.

Because of the complex environmental conditions oflandfills, the actual conditions of such sites could not beaccurately simulated in this study. However, the afore-mentioned results can serve as a reference for future researchon the migration behaviors and mechanisms of nano-particles in landfills.

Data Availability

+e data used to support the findings of this study are in-cluded within the article.

Conflicts of Interest

+e authors declare that they have no conflicts of interest.

Acknowledgments

+is investigation was supported by the National NaturalScience Foundation of China (projects nos. 41672274 and41002093); the Fundamental Research Funds for the CentralUniversities (projects no. 22120180233); and Opening fundof State Key Laboratory of Geohazard Prevention andGeoenvironment Protection (Chengdu University of Tech-nology) (project no. SKLGP 2014K013). +e authors areextremely grateful for the financial support from these fourorganizations.

References

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