Parameterization and prediction of nanoparticle transport in porous media: A reanalysis using artificial neural network

The continuing rapid expansion of industrial and consumer processes based on nanoparticles (NP) necessitates a robust model for delineating their fate and transport in groundwater. An ability to reliably specify the full parameter set for prediction of NP transport using continuum models is crucial. In this paper we report the reanalysis of a data set of 493 published column experiment outcomes together with their continuum modeling results. Experimental properties were parameterized into 20 factors which are commonly available. They were then used to predict five key continuum model parameters as well as the effluent concentration via artificial neural network (ANN)-based correlations. The Partial Derivatives (PaD) technique and Monte Carlo method were used for the analysis of sensitivities and model-produced uncertainties, respectively. The outcomes shed light on several controversial relationships between the parameters, e.g., it was revealed that the trend of math formula with average pore water velocity was positive. The resulting correlations, despite being developed based on a “black-box” technique (ANN), were able to explain the effects of theoretical parameters such as critical deposition concentration (CDC), even though these parameters were not explicitly considered in the model. Porous media heterogeneity was considered as a parameter for the first time and showed sensitivities higher than those of dispersivity. The model performance was validated well against subsets of the experimental data and was compared with current models. The robustness of the correlation matrices was not completely satisfactory, since they failed to predict the experimental breakthrough curves (BTCs) at extreme values of ionic strengths.

[1]  Lei Wang,et al.  Preparation and electrochemical properties of LiFePO4/C nanoparticles using different organic carbon sources , 2013, Journal of Nanoparticle Research.

[2]  D. Grasso,et al.  Prediction of colloid detachment in a model porous media: hydrodynamics , 2000 .

[3]  S. Bryant,et al.  Flow enhancement of water-based nanoparticle dispersion through microscale sedimentary rocks , 2015, Scientific Reports.

[4]  C. Chrysikopoulos,et al.  Effective velocity and effective dispersion coefficient for finite-sized particles flowing in a uniform fracture. , 2003, Journal of colloid and interface science.

[5]  R. Cook Detection of influential observation in linear regression , 2000 .

[6]  Soichi Nishiyama,et al.  Analysis and prediction of flow from local source in a river basin using a Neuro-fuzzy modeling tool. , 2007, Journal of environmental management.

[7]  Kurt D. Pennell,et al.  A multi-constituent site blocking model for nanoparticle and stabilizing agent transport in porous media , 2015 .

[8]  Ashraf Aly Hassan,et al.  Transport and deposition of CeO2 nanoparticles in water-saturated porous media. , 2011, Water research.

[9]  Christopher M. Bishop,et al.  Regularization and complexity control in feed-forward networks , 1995 .

[10]  Ulrich Hermann,et al.  Sensitivity Analysis of Neural Networks in Spool Fabrication Productivity Studies , 2001 .

[11]  J. Schafer,et al.  Missing data: our view of the state of the art. , 2002, Psychological methods.

[12]  Jamie R. Lead,et al.  Progress towards the validation of modeled environmental concentrations of engineered nanomaterials by analytical measurements , 2015 .

[13]  Z. Geng,et al.  Transport of graphene oxide in saturated porous media: effect of cation composition in mixed Na-Ca electrolyte systems. , 2015, The Science of the total environment.

[14]  Y. Adachi,et al.  Dielectric and electrophoretic response of montmorillonite particles as function of ionic strength. , 2013, Journal of colloid and interface science.

[15]  J. Wan,et al.  Impacts of bridging complexation on the transport of surface-modified nanoparticles in saturated sand. , 2012, Journal of contaminant hydrology.

[16]  Charles R. O'Melia,et al.  Clarification of Clean-Bed Filtration Models , 1995 .

[17]  Yan Liang,et al.  Retention and remobilization of stabilized silver nanoparticles in an undisturbed loamy sand soil. , 2013, Environmental science & technology.

[18]  Heather J. Shipley,et al.  Modeling and sensitivity analysis on the transport of aluminum oxide nanoparticles in saturated sand: effects of ionic strength, flow rate, and nanoparticle concentration. , 2014, The Science of the total environment.

[19]  M. Bebianno,et al.  Immunocytotoxicity, cytogenotoxicity and genotoxicity of cadmium-based quantum dots in the marine mussel Mytilus galloprovincialis. , 2014, Marine environmental research.

[20]  B. Patterson,et al.  Colloid release and clogging in porous media: Effects of solution ionic strength and flow velocity. , 2015, Journal of contaminant hydrology.

[21]  Zhiqiang Deng,et al.  How Reliable Are ANN, ANFIS, and SVM Techniques for Predicting Longitudinal Dispersion Coefficient in Natural Rivers? , 2016 .

[22]  S. Yates,et al.  Modeling colloid attachment, straining, and exclusion in saturated porous media. , 2003, Environmental science & technology.

[23]  G. Lowry,et al.  Physicochemistry of Polyelectrolyte Coatings that Increase Stability, Mobility, and Contaminant Specificity of Reactive Nanoparticles Used for Groundwater Remediation , 2014 .

[24]  Heather J. Shipley,et al.  Transport of aluminum oxide nanoparticles in saturated sand: effects of ionic strength, flow rate, and nanoparticle concentration. , 2013, The Science of the total environment.

[25]  Denis M. O'Carroll,et al.  Simulation of the subsurface mobility of carbon nanoparticles at the field scale , 2010 .

[26]  Bernard Bobée,et al.  Daily reservoir inflow forecasting using artificial neural networks with stopped training approach , 2000 .

[27]  Jinsheng Fu,et al.  Prediction of the Particle Size Distribution Parameters in a High Shear Granulation Process Using a Key Parameter Definition Combined Artificial Neural Network Model , 2015 .

[28]  G. Owens,et al.  Distinguishable transport behavior of zinc oxide nanoparticles in silica sand and soil columns. , 2015, Science of the Total Environment.

[29]  R. Dennis Cook,et al.  Detection of Influential Observation in Linear Regression , 2000, Technometrics.

[30]  Qiang Zhang,et al.  Three-dimensional hierarchically ordered porous carbons with partially graphitic nanostructures for electrochemical capacitive energy storage. , 2012, ChemSusChem.

[31]  Krzysztof Matyjaszewski,et al.  Ionic strength and composition affect the mobility of surface-modified Fe0 nanoparticles in water-saturated sand columns. , 2008, Environmental science & technology.

[32]  Clinton S. Willson,et al.  Predicting colloid transport through saturated porous media: A critical review , 2015 .

[33]  D. Jaisi,et al.  Effect of Size-Selective Retention on the Cotransport of Hydroxyapatite and Goethite Nanoparticles in Saturated Porous Media. , 2015, Environmental science & technology.

[34]  E. Tombácz,et al.  Colloidal behavior of aqueous montmorillonite suspensions: The specific role of pH in the presence of indifferent electrolytes , 2004 .

[35]  Menachem Elimelech,et al.  Mobile Subsurface Colloids and Their Role in Contaminant Transport , 1999 .

[36]  P. Cook,et al.  Coupled effects of hydrodynamic and solution chemistry on long-term nanoparticle transport and deposition in saturated porous media , 2014 .

[37]  Kin Keung Lai,et al.  Data Preparation in Neural Network Data Analysis , 2007 .

[38]  Nathalie Tufenkji,et al.  Spatial distributions of Cryptosporidium oocysts in porous media: evidence for dual mode deposition. , 2005, Environmental science & technology.

[39]  Dengjun Wang,et al.  Transport of ARS-labeled hydroxyapatite nanoparticles in saturated granular media is influenced by surface charge variability even in the presence of humic acid. , 2012, Journal of hazardous materials.

[40]  V. Colvin,et al.  Effect of surface coating composition on quantum dot mobility in porous media , 2013, Journal of Nanoparticle Research.

[41]  Chi Tien,et al.  Trajectory analysis of deep‐bed filtration with the sphere‐in‐cell porous media model , 1976 .

[42]  Timothy Scheibe,et al.  Apparent decreases in colloid deposition rate coefficients with distance of transport under unfavorable deposition conditions: a general phenomenon. , 2004, Environmental science & technology.

[43]  M. Gevrey,et al.  Two-way interaction of input variables in the sensitivity analysis of neural network models , 2006 .

[44]  Hamide Ehtesabi,et al.  Enhanced Heavy Oil Recovery in Sandstone Cores Using TiO2 Nanofluids , 2014 .

[45]  J. Herzig,et al.  Flow of Suspensions through Porous Media—Application to Deep Filtration , 1970 .

[46]  Hao Wang,et al.  Deposition and transport of graphene oxide in saturated and unsaturated porous media , 2013 .

[47]  W. Johnson,et al.  Colloid population heterogeneity drives hyperexponential deviation from classic filtration theory. , 2007, Environmental science & technology.

[48]  M. Zembala,et al.  Kinetics of localized adsorption of colloid particles , 1992 .

[49]  Navid B. Saleh,et al.  Aggregation and sedimentation of aqueous nanoscale zerovalent iron dispersions. , 2007, Environmental science & technology.

[50]  Tanapon Phenrat,et al.  Partial oxidation ("aging") and surface modification decrease the toxicity of nanosized zerovalent iron. , 2009, Environmental science & technology.

[51]  Vahid Nourani,et al.  Sensitivity analysis of the artificial neural network outputs in simulation of the evaporation process at different climatologic regimes , 2012, Adv. Eng. Softw..

[52]  G. Marsily Quantitative Hydrogeology: Groundwater Hydrology for Engineers , 1986 .

[53]  B. Wen,et al.  Modeling the transport of TiO2 nanoparticle aggregates in saturated and unsaturated granular media: effects of ionic strength and pH. , 2013, Water research.

[54]  J. Scott-Fordsmand,et al.  Fate assessment of engineered nanoparticles in solids dominated media - Current insights and the way forward. , 2016, Environmental pollution.

[55]  Mehdi Bettahar,et al.  Concentration dependent transport of colloids in saturated porous media. , 2006, Journal of contaminant hydrology.

[56]  Charles R. O'Melia,et al.  Water and waste water filtration. Concepts and applications , 1971 .

[57]  Dong-mei Zhou,et al.  Facilitated Transport of Copper with Hydroxyapatite Nanoparticles in Saturated Sand Soil Chemistry Hydroxyapatite nanoparticles , 2012 .

[58]  G. Hornberger,et al.  Spatial distribution of deposited bacteria following Miscible Displacement Experiments in intact cores , 1999 .

[59]  Mark Beale,et al.  Neural Network Toolbox™ User's Guide , 2015 .

[60]  N. Sun,et al.  A novel two-dimensional model for colloid transport in physically and geochemically heterogeneous porous media. , 2001, Journal of contaminant hydrology.

[61]  Menachem Elimelech,et al.  Single-walled carbon nanotubes exhibit limited transport in soil columns. , 2009, Environmental science & technology.

[62]  Nirupam Aich,et al.  Research strategy to determine when novel nanohybrids pose unique environmental risks , 2015 .

[63]  Tomihisa Iwasaki,et al.  Some Notes on Sand Filtration , 1937 .

[64]  Hongwei Yang,et al.  The Case for Being Automatic: Introducing the Automatic Linear Modeling (LINEAR) Procedure in SPSS Statistics , 2013 .

[65]  Arturo A. Keller,et al.  Global life cycle releases of engineered nanomaterials , 2013, Journal of Nanoparticle Research.

[66]  M. Kosmulski pH-dependent surface charging and points of zero charge II. Update. , 2004, Journal of colloid and interface science.

[67]  Jirka Simunek,et al.  Physical factors affecting the transport and fate of colloids in saturated porous media , 2002 .

[68]  Yan Jin,et al.  Effects of solution chemistry on straining of colloids in porous media under unfavorable conditions , 2008 .

[69]  Jack F Schijven,et al.  Two-site kinetic modeling of bacteriophages transport through columns of saturated dune sand. , 2002, Journal of contaminant hydrology.

[70]  Fritjof Fagerlund,et al.  Particle size distribution, concentration, and magnetic attraction affect transport of polymer-modified Fe(0) nanoparticles in sand columns. , 2009, Environmental science & technology.

[71]  P. Ackerer,et al.  Modeling the effects of water velocity on TiO2 nanoparticles transport in saturated porous media. , 2014, Journal of contaminant hydrology.

[72]  R. Harvey,et al.  Humic acid facilitates the transport of ARS-labeled hydroxyapatite nanoparticles in iron oxyhydroxide-coated sand. , 2012, Environmental science & technology.

[73]  D. Velegol,et al.  Transport of rodlike colloids through packed beds. , 2006, Environmental science & technology.

[74]  S. Vasudevan,et al.  Graphene—a promising material for removal of perchlorate (ClO4−) from water , 2013, Environmental Science and Pollution Research.

[75]  J. Wan,et al.  Release of quantum dot nanoparticles in porous media: role of cation exchange and aging time. , 2013, Environmental science & technology.

[76]  Dongye Zhao,et al.  Transport of carboxymethyl cellulose stabilized iron nanoparticles in porous media: column experiments and modeling. , 2009, Journal of colloid and interface science.

[77]  B. Haznedaroglu,et al.  Coupled factors influencing concentration-dependent colloid transport and retention in saturated porous media. , 2009, Environmental science & technology.

[78]  C. Chrysikopoulos,et al.  Colloid particle size‐dependent dispersivity , 2014 .

[79]  S. Yates,et al.  Significance of straining in colloid deposition: Evidence and implications , 2006 .

[80]  R. Tilton,et al.  Fe0 nanoparticles remain mobile in porous media after aging due to slow desorption of polymeric surface modifiers. , 2009, Environmental science & technology.

[81]  A. Mehrizad,et al.  Decontamination of 4-chloro-2-nitrophenol from aqueous solution by graphene adsorption: equilibrium, kinetic, and thermodynamic studies , 2014 .

[82]  Saeed Torkzaban,et al.  Resolving the coupled effects of hydrodynamics and DLVO forces on colloid attachment in porous media. , 2007, Langmuir : the ACS journal of surfaces and colloids.

[83]  J. Šimůnek,et al.  Transport and straining of E. coli O157:H7 in saturated porous media , 2006 .

[84]  L. Cockx,et al.  A pedotransfer function to evaluate the soil profile textural heterogeneity using proximally sensed apparent electrical conductivity , 2009 .

[85]  Harry Vereecken,et al.  Transport and retention of multi-walled carbon nanotubes in saturated porous media: effects of input concentration and grain size. , 2013, Water research.

[86]  M. Elimelech,et al.  Dynamics of colloid deposition in porous media: Modeling the role of retained particles , 1993 .

[87]  Zhao Qiang,et al.  近赤外蛍光プローブとしてのRGDS共役CdSeTe/CdS量子ドット 調製,キャラクタリゼーションおよび生体応用 , 2016 .

[88]  D. O’Carroll,et al.  Electrophoresis enhanced transport of nano-scale zero valent iron , 2012 .

[89]  L. Stanciu,et al.  Multifunctional calcium carbonate microparticles: Synthesis and biological applications , 2010 .

[90]  F. E. Grubbs Procedures for Detecting Outlying Observations in Samples , 1969 .

[91]  D. Zhao,et al.  Direct Synthesis of Controllable Microstructures of Thermally Stable and Ordered Mesoporous Crystalline Titanium Oxides and Carbide/Carbon Composites , 2010 .

[92]  J. Amorós,et al.  Electrokinetic and rheological properties of highly concentrated kaolin dispersions: Influence of particle volume fraction and dispersant concentration , 2010 .

[93]  A. Braun,et al.  Transport and deposition of stabilized engineered silver nanoparticles in water saturated loamy sand and silty loam. , 2015, The Science of the total environment.

[94]  D. Jaisi,et al.  Hyperexponential and nonmonotonic retention of polyvinylpyrrolidone-coated silver nanoparticles in an Ultisol. , 2014, Journal of contaminant hydrology.

[95]  M. Gevrey,et al.  Review and comparison of methods to study the contribution of variables in artificial neural network models , 2003 .

[96]  G. Hornberger,et al.  First- and second-order kinetics approaches for modeling the transport of colloidal particles in porous media , 1994 .

[97]  E. E. L O G A N,et al.  Transport of Rodlike Colloids through Packed Beds , 2022 .

[98]  S. Walker,et al.  Effects of solution chemistry on the transport of graphene oxide in saturated porous media. , 2013, Environmental science & technology.

[99]  M. M. Mohan Kumar,et al.  Correlation equations for average deposition rate coefficients of nanoparticles in a cylindrical pore , 2015 .

[100]  Bin Gao,et al.  Straining of colloidal particles in saturated porous media , 2006 .

[101]  G. Lowry,et al.  Modified MODFLOW-based model for simulating the agglomeration and transport of polymer-modified Fe0 nanoparticles in saturated porous media , 2018, Environmental Science and Pollution Research.

[102]  D. Grasso,et al.  Prediction of colloid detachment in a model porous media: Thermodynamics , 1999 .

[103]  Fang Wang,et al.  Factors controlling transport of graphene oxide nanoparticles in saturated sand columns , 2014, Environmental toxicology and chemistry.

[104]  Wei Chen,et al.  Transport of graphene oxide nanoparticles in saturated sandy soil. , 2014, Environmental science. Processes & impacts.

[105]  C. Su,et al.  Transport and retention of colloids in porous media: does shape really matter? , 2013, Environmental science & technology.

[106]  M. Jonsson,et al.  Effects of γ-irradiation on the stability of colloidal Na+-Montmorillonite dispersions , 2009 .

[107]  Mark Hernandez,et al.  Fluorescent microspheres as virion surrogates in low-pressure membrane studies , 2009 .

[108]  Dong-mei Zhou,et al.  Transport behavior of humic acid-modified nano-hydroxyapatite in saturated packed column: effects of Cu, ionic strength, and ionic composition. , 2011, Journal of colloid and interface science.

[109]  J. Tour,et al.  Salt- and temperature-stable quantum dot nanoparticles for porous media flow , 2014 .

[110]  J. Saiers,et al.  Colloid straining within water‐saturated porous media: Effects of colloid size nonuniformity , 2009 .

[111]  Dong-mei Zhou,et al.  Biofilms and extracellular polymeric substances mediate the transport of graphene oxide nanoparticles in saturated porous media. , 2015, Journal of hazardous materials.

[112]  M. Elimelech,et al.  Deviation from the classical colloid filtration theory in the presence of repulsive DLVO interactions. , 2004, Langmuir : the ACS journal of surfaces and colloids.

[113]  D. Chittleborough,et al.  Retention and dissolution of engineered silver nanoparticles in natural soils , 2012 .

[114]  D. Jaisi,et al.  Cotransport of hydroxyapatite nanoparticles and hematite colloids in saturated porous media: Mechanistic insights from mathematical modeling and phosphate oxygen isotope fractionation. , 2015, Journal of contaminant hydrology.

[115]  Shangping Xu,et al.  Colloid straining within saturated heterogeneous porous media. , 2008, Water research.

[116]  Dengjun Wang,et al.  Facilitated transport of Cu with hydroxyapatite nanoparticles in saturated sand: effects of solution ionic strength and composition. , 2011, Water research.

[117]  Nathalie Tufenkji,et al.  Correlation equation for predicting single-collector efficiency in physicochemical filtration in saturated porous media. , 2004, Environmental science & technology.

[118]  S. Ghoshal,et al.  Straining of polyelectrolyte-stabilized nanoscale zero valent iron particles during transport through granular porous media. , 2014, Water research.

[119]  Chunming Su,et al.  Fate and transport of elemental copper (Cu0) nanoparticles through saturated porous media in the presence of organic materials. , 2012, Water research.

[120]  Yan Liang,et al.  Sensitivity of the transport and retention of stabilized silver nanoparticles to physicochemical factors. , 2013, Water research.

[121]  M. Borkovec,et al.  Aggregation and deposition kinetics of mobile colloidal particles in natural porous media , 2001 .

[122]  Dong-mei Zhou,et al.  Transport of fluorescently labeled hydroxyapatite nanoparticles in saturated granular media at environmentally relevant concentrations of surfactants , 2014 .

[123]  J. Šimůnek,et al.  Equilibrium and kinetic models for colloid release under transient solution chemistry conditions. , 2014, Journal of contaminant hydrology.

[124]  Mohammad Bagher Menhaj,et al.  Training feedforward networks with the Marquardt algorithm , 1994, IEEE Trans. Neural Networks.

[125]  H. Maier,et al.  The Use of Artificial Neural Networks for the Prediction of Water Quality Parameters , 1996 .

[126]  R. Doong,et al.  Architectural design of hierarchically ordered porous carbons for high-rate electrochemical capacitors , 2013 .

[127]  Roohollah Noori,et al.  Development and application of reduced‐order neural network model based on proper orthogonal decomposition for BOD5 monitoring: Active and online prediction , 2013 .

[128]  Prabhakar Sharma,et al.  Transport and retention of carbon-based engineered and natural nanoparticles through saturated porous media , 2016, Journal of Nanoparticle Research.

[129]  S. Laumann,et al.  Mobility enhancement of nanoscale zero-valent iron in carbonate porous media through co-injection of polyelectrolytes. , 2014, Water research.

[130]  Qingguo Huang,et al.  Deposition and transport of functionalized carbon nanotubes in water-saturated sand columns. , 2012, Journal of hazardous materials.

[131]  S. M. Hosseini,et al.  Numerical and Meta-Modeling of Nitrate Transport Reduced by Nano-Fe/Cu Particles in Packed Sand Column , 2012, Transport in Porous Media.

[132]  Richard L. Johnson,et al.  Nanotechnologies for environmental cleanup , 2006 .

[133]  M. Elimelech,et al.  Relative Insignificance of Mineral Grain Zeta Potential to Colloid Transport in Geochemically Heterogeneous Porous Media , 2000 .

[134]  Rajandrea Sethi,et al.  Transport of non-newtonian suspensions of highly concentrated micro- and nanoscale iron particles in porous media: a modeling approach. , 2010, Environmental science & technology.

[135]  G. Sorial,et al.  Computational fluid dynamics simulation of transport and retention of nanoparticle in saturated sand filters. , 2013, Journal of hazardous materials.

[136]  Tanapon Phenrat,et al.  Estimating attachment of nano- and submicrometer-particles coated with organic macromolecules in porous media: development of an empirical model. , 2010, Environmental science & technology.

[137]  Vahid Nourani,et al.  Investigating the Ability of Artificial Neural Network (ANN) Models to Estimate Missing Rain-gauge Data , 2012 .

[138]  W. Pitts,et al.  A Logical Calculus of the Ideas Immanent in Nervous Activity (1943) , 2021, Ideas That Created the Future.

[139]  J. Nash,et al.  River flow forecasting through conceptual models part I — A discussion of principles☆ , 1970 .

[140]  R. Noori,et al.  Uncertainty analysis of streamflow drought forecast using artificial neural networks and Monte‐Carlo simulation , 2014 .

[141]  Hyunjung Kim,et al.  Influence of natural organic matter on the transport and deposition of zinc oxide nanoparticles in saturated porous media. , 2012, Journal of colloid and interface science.

[142]  Menachem Elimelech,et al.  Aggregation and deposition kinetics of fullerene (C60) nanoparticles. , 2006, Langmuir : the ACS journal of surfaces and colloids.

[143]  L. Klein,et al.  Handbook of Sol-Gel Science and Technology , 2017 .

[144]  Jichun Wu,et al.  Transport, retention, and size perturbation of graphene oxide in saturated porous media: effects of input concentration and grain size. , 2015, Water research.

[145]  Yan Jin,et al.  Transport and Retention of Polyvinylpyrrolidone‐Coated Silver Nanoparticles in Natural Soils , 2015 .

[146]  K. Hungerbühler,et al.  Prediction of nanoparticle transport behavior from physicochemical properties: machine learning provides insights to guide the next generation of transport models , 2015 .

[147]  Jagath J. Kaluarachchi,et al.  Application of artificial neural network and genetic algorithm in flow and transport simulations , 1998 .

[148]  T. Karanfil,et al.  Adsorption of halogenated aliphatic contaminants by graphene nanomaterials. , 2015, Water research.

[149]  Timothy Scheibe,et al.  Colloid transport in saturated porous media: Elimination of attachment efficiency in a new colloid transport model , 2013 .

[150]  Q. Liao,et al.  Straining of nonspherical colloids in saturated porous media. , 2008, Environmental science & technology.

[151]  T. Illangasekare,et al.  Empirical correlations to estimate agglomerate size and deposition during injection of a polyelectrolyte-modified Fe0 nanoparticle at high particle concentration in saturated sand. , 2010, Journal of contaminant hydrology.

[152]  C. Su,et al.  Transport and retention of zinc oxide nanoparticles in porous media: effects of natural organic matter versus natural organic ligands at circumneutral pH. , 2014, Journal of hazardous materials.

[153]  R. Tilton,et al.  Effect of kaolinite, silica fines and pH on transport of polymer-modified zero valent iron nano-particles in heterogeneous porous media. , 2012, Journal of colloid and interface science.

[154]  G. Lowry,et al.  Chapter 18 – Physicochemistry of Polyelectrolyte Coatings that Increase Stability, Mobility, and Contaminant Specificity of Reactive Nanoparticles Used for Groundwater Remediation , 2009 .

[155]  Álvaro Ortega,et al.  Hydrodynamic properties of rodlike and disklike particles in dilute solution , 2003 .

[156]  Shanshan Lin,et al.  Effects of surfactants on graphene oxide nanoparticles transport in saturated porous media. , 2015, Journal of environmental sciences.

[157]  E. J. Plaster Soil science and management , 1985 .

[158]  Tao Wen,et al.  Preconcentration of U(VI) ions on few-layered graphene oxide nanosheets from aqueous solutions. , 2012, Dalton transactions.

[159]  S. Walker,et al.  Transport and fate of bacteria in porous media: Coupled effects of chemical conditions and pore space geometry , 2008 .

[160]  Stephen P. Garabedian,et al.  Use of colloid filtration theory in modeling movement of bacteria through a contaminated sandy aquifer , 1991 .

[161]  Stephen C. Y. Lu,et al.  Developing empirical models from observational data using artificial neural networks , 1993, J. Intell. Manuf..

[162]  Seiyed Mossa Hosseini,et al.  Transport and retention of high concentrated nano-Fe/Cu particles through highly flow-rated packed sand column. , 2013, Water research.

[163]  M. Kosmulski The pH-dependent surface charging and points of zero charge: V. Update. , 2011, Journal of colloid and interface science.