Extending service life of household water filters by mixing metallic iron with sand 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Noubactep Chicgoua*(1,5), Caré Sabine(2), Togue-Kamga Fulbert(3), Schöner Angelika(4), Woafo Paul(3) (1) Angewandte Geologie, Universität Göttingen, Goldschmidtstraße 3, D - 37077 Göttingen, Germany. (2) Université Paris-Est, Laboratoire Navier, Ecole des Ponts - ParisTech, LCPC, CNRS, 2 allée Kepler, 77420 Champs sur Marne, France. (3) Laboratory of Modelling and Simulation in Engineering and Biological Physics, Faculty of Science, University of Yaounde I, Box 812 Yaounde, Cameroon. (4) Institut für Geowissenschaften, Friedrich-Schiller-Universität Jena, Burgweg 11, D–07749 Jena, Germany. (5) Kultur und Nachhaltige Entwicklung CDD e.V., Postfach 1502, D - 37005 Göttingen, Germany. (*) corresponding author: cnoubac@gwdg.de; Tel. +49 551 39 3191, Fax: +49 551 399379. Running Title: Mixing inert additives and reactive Fe0 is a prerequisite for sustainable filters. Acronym List CIM Composite iron matrix KAF Kanchan™ arsenic filters MDG Millennium Development Goal SAF SONO arsenic filters Keywords: Drinking water, Filter clogging; Iron/sand filter; Long-term reactivity; Zerovalent iron. 1 Abstract 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 The use of metallic iron filters (Fe0 filters) has been discussed as a promising low-cost option for safe drinking water production at household level. Filter clogging due to the volumetric expansive nature of iron corrosion has been identified as the major problem of Fe0 filters. Mixing Fe0 and sand (yielding Fe0/sand filters) has been proposed as a tool to extent filter service life. However, no systematic discussion rationalizing Fe0:sand mixtures is yet available. This communication theoretically discussed suitable Fe0:sand proportions for efficient filters. Results suggested that Fe0/sand filters should not contain more that 50 vol-% Fe0 (25 wt-% when Fe0 is mixed with quartz). The actual Fe0 percentage in a filter will depend on its intrinsic reactivity. 1 Introduction Safe water provision in emergency situations and in remote communities is a serious global problem [1-12]. In such situations, available raw waters are often polluted by microbial and chemical contaminants. Several filtration systems suitable for rendering raw waters potable have been presented [1, 2, 7, 13-17]. For example, the Josab AqualiteTM System using a natural zeolite was developed and successfully used during the Balkan conflict and after the tsunami [7]. SONO filters based on a composite-iron matrix (CIM) is extensively used for arsenic removal at household level in rural Bangladesh and Nepal [1, 13]. Josab AqualiteTM Systems use ultra filtration and are available as portable and mobile units weighing from 95 to 1800 kg. Although Josab AqualiteTM 2 filtration systems can be readily transported to the points-of-need, it is clear that simpler efficient systems like SONO filters may be very helpful even in emergency situations. Other more practical systems similar to Josab Aqualite 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 TM Systems have been presented [18-22]. These systems mostly use synthetic membranes and are rarely universally affordable. In the developing world the application of low cost household water treatment technology of variable effectiveness (boiling, chlorination, filtration, solar disinfection) has been promoted in recent years in the frame work of efforts to achieve the Millennium Development Goals (MDG) for water [8, 23, 24]. Filtration was identified as the simplest efficient technology [13, 14 ,17]. The main research question is how to design a good stand-alone filter which operates for long time (e.g. 12 months or more) demanding neither electricity nor addition of chemicals. Based on recent progresses on understanding mechanistic aspects of aqueous contaminant removal in the presence of Fe0 (e.g. in Fe0/H2O systems) [25-28]. Fe0 filters have been suggested as low cost, efficient systems for universal safe drinking water production [17, 29, 30]. Previous efforts using Fe0 filters were limited to individual contaminants, e.g. arsenic [13, 15] or viruses [31]. The main concern with Fe0 filters is the reduction in pore space caused by mineral precipitation (mineral fouling or filter clogging). Fouling of the pore space reduces the porosity and hydraulic conductivity of filter [17, 32, 33]. Likely causes of filter clogging are: (i) adsorption of fouling substances (e.g. colloids), (ii) bio-corrosion, (iii) cake formation, and (iv) pore filling or filter 3 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 clogging. Bio-corrosion is microbial accelerated iron corrosion likely yielding to rapid clogging. Generally, filter clogging is solved by using mechanical and chemical cleaning. The systems discussed in this communication should not need any cleaning operation apart from some possible intermittent additions of boiled water or lemon juice as recently discussed [17]. The aim of this communication is to bring some design of Fe0/sand filter based on proper theoretical evaluation. A reactive zone containing Fe0 is incorporated in the fine sand layer of a conventional slow sand filter. The proportion of Fe0 in this reactive zone varied from 0 to 100 %. The efficiency of the resulting Fe0/sand filters are discussed. The efficiency of each filter was evaluated by the extent of filling of the initial pore space upon Fe0 depletion. A range of suitable combination of Fe0 and sand as filter media was deduced. For the sake of clarity, the process of aqueous iron corrosion and its use in water treatment will be recalled. 2 Aqueous iron corrosion and contaminant removal in Fe0 filters Filtration through a layer of a suitable medium or a combination of media (anthracite, gravel, sand) is an important process for water treatment [34, 35]. Based on the rate of filtration, filters are divided into slow and rapid types. Rapid filters mostly clarify water by physical and physicochemical processes with less biological mechanisms. In slow filters on the contrary, biological action plays an important role. Household iron filters discussed in this communication are primarily slow filters. Due to improper consideration of the expansive nature of iron oxidative 4 dissolution (at pH > 4.5) in a porous Fe0 bed, early attempts to use Fe0 as filter medium was nonsatisfying in term of acceptable service life [9, 17]. Properly considering the mechanism of iron corrosion will certainly bring some design information for the theoretical evaluation of the filter service life. 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 2.1 Aqueous iron corrosion and filter clogging Aqueous Fe0 oxidation or immersed iron corrosion (without external current) can be regarded as a series of galvanic reactions [36, 37]. At the iron/water interface, ferrous ions (Fe2+) generated from the Fe0 initially form a FeII hydroxide intermediate [Fe(OH)2]. In the presence of suitable oxidizing agents (contaminants, MnO2, O2), Fe(OH)2 oxidizes to an amorphous FeIII oxide scale [Fe(OH)3]. The accumulated corrosion layer restricts diffusion of dissolved oxidizing agents (including O2), allowing the formation of an inner layer of magnetite (Fe3O4). This magnetite layer is less permeable and can effectively inhibit O2 diffusion from the bulk solution to the bare Fe0 [38]. Within this local anaerobic environment, sulfate-reducing bacteria may impact the corrosion process over time. Under such conditions, a ferric layer of lepidocrocite (γ-FeOOH) can be formed and be transformed to a sulfated green rust [GR(SO42-)]. Other identified iron corrosion products included: goethite (α-FeOOH), akaganeite (β-FeOOH), and maghemite (γ-Fe2O3) [39-41]. In general, the solution pH, the abundance of dissolved O2 (and other oxidizing agents), the dissolved ionic species, and the time-scale of the experiment can influence the nature of iron corrosion products [12]. 5 The presentation above clearly shows that aqueous iron corrosion inevitably generates various iron oxides which are larger in volume than iron in the metal lattice [42-45]. This volumetric expansion is the fundamental cause of progressive filter fouling. Therefore, adsorption of fouling substances and cake formation will not be further considered in this work as they are clearly of secondary importance. On the other hand, adsorption of fouling substances can be ruled out as the Fe 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 0 reactive zone is implemented within a fine sand layer of a conventional Biosand filter [14]. As concerning cake formation, mixing Fe0 and sand is a tool to retard or even eliminate this process. 2.2 Contaminant removal in an iron filter While intentionally ignoring the interactions between Fe0 and water, the initial filtration in an iron filter is comparable to slow sand filtration (Fig. 1). As expansive corrosion products are generated, the initial pore space in the filter is progressively filled and the system is gradually transformed to an ultra-filtration one. Accordingly, regardless from physico-chemical interactions between contaminants, iron and corrosion products, contaminant removal by pure size exclusion (or adsorptive size exclusion) will inevitably occur with increasing service life. This fundamental aspect has received little attention to date as the scientific community was focused on interactions between selected contaminants and Fe0. In this effort a particular attention was paid to chemical transformations of the contaminants [13, 46-50]. The next important feature concerns the dynamic nature of iron oxide formation within the filter. It 6 has already been demonstrated that contaminants are fundamentally entrapped within the film of corrosion products in the vicinity of the Fe 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 0 surface [25-28]. It is essential to note that the formation of corrosion products is a cycle of expansion/contraction [27] occurring in the pore space. During this process native iron (Fe0: SSA < 1 m2/g) is first transformed to voluminous iron hydroxides possibly having specific surface area (SSA) > 500 m2/g before progressively contracted to amorphous and crystalline oxides with SSA ≤ 10 m2/g. The voluminous colloid which is intermediary formed [51] during an expansion/contraction cycle can be compared to a spider web which traps inflowing contaminants and keeps them adsorbed while the colloid is further transformed. In other words, before the pore space becomes close enough for the Fe0 filter to act as an ultra-filtration system, the expansion/contraction cycle traps contaminants from the infiltrating water. It is certain, that the kinetics of iron oxidation will decrease as soon as not enough space is available for expansive corrosion. This is a possible explanation for the controversial observation, that TCE removal rates were higher in a system with 85 wt-% Fe0 than they were in a 100 % Fe0 system (0 % sand) [52]. In the present study substituting a portion of Fe0 by sand (an inert material) targets at retarding filter clogging. 3 Retarding filter fouling Previous efforts mixing inert materials (e.g. pumice, sand) and Fe0 in remediation Fe0/H2O systems targeted at: (i) trapping dissolved O2 to enable anoxic conditions in the subsequent 100 % Fe0 zone 7 [39], (ii) retarding pore filling as inert materials will not generate new voluminous particles [39, 52], (iii) controlling pH as inert materials will not contribute to pH elevation [53, 54], and (iv) minimizing Fe 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 0 installation costs by reducing the amount of Fe0 to be used [52, 55], In previous works, it was commonplace to consider that mixing Fe0 with sand will diminish the rates of the decontamination process: (i) by decreasing the number of reactive sites, and (ii) by lowering the kinetic of contaminant mass transfer to the Fe0 surface [52, 56, 57]. In the present study it is acknowledged that Fe0 filters are primarily filtrating systems (contaminant removal by adsorptive size exclusion and co-precipitation). Accordingly, a Fe0/sand filter is regarded as iron assisted slow sand filtration system (or iron assisted biosand filter) [14, 17, 58, 59]. In such a system, contaminants are primarily removed by adsorptive size exclusion. In the Fe0/sand reactive zone, size exclusion is actively improved by: (i) the cycle of expansion/contraction accompanying iron corrosion as discussed above, and (ii) iron corrosion products progressively filling the pore space possibly yielding to an ultra-filtration system (and at the term to a clogged system when the porosity is zero). Ideally, an optimal proportion of Fe0 in the Fe0/sand reactive zone of a filter should exist for which efficient water treatment and long-term reactivity of Fe0 is achieved. Similarly, (i) a critical minimal proportion of Fe0 should exist beyond which filters are not significantly more efficient than biosand filters, and (ii) a critical maximal proportion of Fe0 should exist above which filter clogging will 8 rapidly occur. The possibility of adding calculated amounts of Fe0 to assist biosand filter will be discussed in the next section on the basis of an hypothetic case. Because size exclusion depends on the available pore in the inter-granular space of the filter bed, the discussion will be based on the volume occupied by initial particles (Fe 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 0 and sand). That is the volume available for in-situ generated iron corrosion products (ICPs). Clearly, the volumetric proportion of Fe0 (vol-%) in the initial filter should be preferentially given. Actually the weight percent (wt-%) is routinely given [52, 56, 57]. However, given the large difference of specific weight (ρ in kg/m3) between iron (7,800 kg/m3) and inert materials (< 2,700 kg/m3), the weight percent is not primarily appropriate. 4 Discussing Fe0:sand ratios in a filter 4.1 Design A conventional household biosand filter builds in a cylinder with 90 cm height and 30 cm width (Fig. 1a) will be modified to contain a reactive zone with ≤ 3 kg Fe0 in the fine sand layer (Fig. 1b). In a conventional biosand filter the fine sand layer is about 40 to 50 cm high. [14] The aim of this investigation is to introduce a reactive zone (rz) of Fe0 with a thickness Hrz ≤ 10 cm in the fine sand layer. The used iron fillings are spherical in shape with an average diameter of 1.2 mm. Spherical sand particles of comparable particle size are used to “dilute” Fe0. Calculations show that N = 425,093 Fe0 particles are equivalent to 3 kg according to Eq. 1: 9 R034 M=N 3 Fe ./. πρ (1) 165 166 167 168 169 170 171 172 173 174 η175 176 177 178 179 180 181 182 where M is the mass of Fe (3 kg), is the specific weight of Fe (7,800 kg/mFeρ 3) and R0 is the initial radius of the Fe particle (6 10-4 m). The same number of sand particles (as quartz with specific weight: ρsand = 2,650 kg/m3) weights 1.02 kg. These calculations demonstrate that mixing sand and Fe0 in a 1:1 proportion (50 vol-%), yields a weight percent of 74.6 % for Fe0 and 25.4 % for sand. The relation between the vol-% and the wt-% depends on the relative specific weights of mixed materials. A proper discussion on the evolution of the porosity is necessarily based on the vol-%. It is assumed that Fe3O4 is the sole iron corrosion product. This assumption is justified by the fact that a biosand filter ideally works under anoxic conditions. Therefore, the coefficient of volumetric expansion defined as the ratio between the volume of expansive corrosion products (VFe3O4) to the volume of iron in the metallic lattice (VFe) is 2.1. 4.2 Rationale for the used design The used Fe0 mass (3 kg) corresponds to the minimum iron amount that was used in the three-pitcher filter in Bangladesh and Nepal [1, 58, 60]. The three-pitcher filter was very effective in arsenic removal for about six weeks, afterwards a decrease in removal efficiency was observed. Accordingly, the Fe0 containing pitcher would have been replaced up to eight times per year. Moreover, the iron fillings in the filter became clogged and hardened (is transformed to a “cake”) 10 while treated water contained high iron concentration. On the other hand, despite effectiveness in arsenic removal, the bacteriological contamination in the effluent water was sometimes high. Based on these limitations, Fe 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 0 filters were quickly abandoned and replaced by two other devices: (i) Fe0 assisted biosand filters or Kanchan Arsenic Filters (KAF) [15, 16], and (ii) the SONO Arsenic Filter (SAF) [1,13]. In SAF Fe0 is replaced by a composite iron matrix (CIM) made up of Fe0 and manganese oxides [1]. CIM has the property to sustain Fe0 oxidation and thus in-situ produces reactive iron oxides for continuous As removal. Independent researchers have reported on the superiority of SAF on KAF [50]. On the other hand, first attempts to reproduce KAF in Vietnam were not successful [60-62]. One major reason of failure of KAF should be that the As removal unit ideally depletes dissolved oxygen necessary for effectiveness of biosand filters. The present design takes into account the enumerated weakness of three-pitcher filters and KAF filters. 4.3 Improved Fe0 assisted biosand filters Contaminant removal in slow sand filters ideally occurs in an in-situ generated biofilm (so-called Schmutzdecke). The Schmutzdecke is a biologically active layer consisting of algae, bacteria, diatoms and zooplankton. A ripening period of 6 to 8 weeks is required for this layer to form, during which time filter performance is sub-optimal [63]. Despite 130 years expertise with biosand filters, complete pathogen removal can not be guaranteed [14, 17]. On the other hand, the removal of chemical contaminants is not their primary target. Therefore, incorporating a Fe0/sand zone in the 11 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 fine sand layer (Fig. 1) will increase the filter performance for microbial decontamination while certainly remove chemical contaminants as discussed above. The next section discusses the proportion of sand in the reactive zone. 4.4 Proportion of Fe0 in the reactive zone The experience with the three-pitcher filters taught that a reactive layer of 3 kg Fe0 will be effective only for some six weeks; afterwards the whole layer is transformed to a sort of “cake”. As discussed above replacing a portion of Fe0 by an inert material will delay or even avoid cake formation. To test the suitability of Fe0:sand mixtures to sustain the long-term reactivity of Fe0 assisted biosand filters, evolution of the residual porosity as function of the initial percent Fe0 in the reactive zone is determined from a modeling of the filling of the pore space by iron corrosion products. 4.5 Modeling the evolution of the residual porosity For granular materials, the compactness C (-) is defined as the ratio of the volume of the particles to the total packing volume (V = volume of the reactive zone). Considering the granular material (sand and Fe0) as composed of mono-dispersed spheres subjected to soft vibrations, the compactness C is generally considered to be equal to 0.64 for a random close packing. The virtual compactness value (C = 740 23 .=π ) for mono-dispersed spheres will not be considered in this study as it is far from reality [64-66]. In laboratory studies, the experimental value for compactness for each system can be determined and used to discuss achieved results. 216 217 218 12 219 220 221 222 223 224 225 226 227 228 229 The initial porosity Φ0 (-) of the reactive zone is then given by: Φ0 = 1 – C (2) The filling of the porosity by iron corrosion products can be estimated from a simplified modelling (Fig. 2) based on the following assumptions: (i) uniform corrosion: the diameter reduction of the particle is the same for all the Fe particles, (ii) iron corrosion products are fluid enough to progressively fill available pore space, (iii) the compactness C and then the initial porosity Φ0 remain constant. The volume of the granular material is not modified by the corrosion process: no pressure induced by rust formation around Fe particles and no compaction of the Fe0/sand mixture during the corrosion process. With these hypotheses the residual porosity Φ can be given as a function of the volume of the iron corrosion products VFe3O4 (m3) according to: V VV= consumedFe0 )( Fe3O4 −−ΦΦ (3) 230 231 232 233 234 where VFe3O4 – Vconsumed Fe(m3) is the volume of the iron corrosion product without the volume of the consumed Fe0 and V (m3) is the volume of the reactive zone. The volume of the iron corrosion product without the volume of the consumed Fe0 (VFe3O4 – Vconsumed Fe) is given by: )(./)..(Fe3O4 RR0341N=VV 3 3 consumedFe −π−η− (4) 235 where R (m) is the radius of the consumed iron particle and 236 η the coefficient of volumetric 13 237 238 expansion. The proportion of consumed iron (% consumed Fe) is given by: ).(% R0 RR0100consumedFe 3 33 −= (5) 239 240 241 242 It is possible to determine the proportion of consumed iron when the volume of the iron corrosion product without the volume of the consumed Fe (VFe3O4 –Vconsumed Fe) is equal to the initial porosity Φ0 (m3) according to: ) ./)..( .()% ( R341N 0 100consumedFe VV 3 0 0consumedFe304Fe π−η Φ=Φ=− (6) 243 244 245 246 247 248 249 250 251 252 253 4.6 Discussion of modeling results Calculations shown that the depth (or thickness) of a reactive zone of 425,093 spherical particles of 1.2 mm diameter (equivalent to 3 kg Fe0 in a three-pitcher-like filter) is 8.5 mm vs. 30 mm (3 cm) in the device discussed by Pokhrel et al. [59]. While Fe0 is spherical here, the samples used in some three-pitcher filters were commercial iron nails. Currently, granular Fe0 is mostly available as chips or fillings. Therefore, for real situations the weights (kg) of iron and sand from Table 1 should be used. The calculation results are summarized in Table 1. Figure 3 shows the percent variation of the residual porosity as the proportion of sand in the reactive zone of the filter varies from 0 (biosand filter) to 100 % (three-pitcher filter). The results show progressive uniform decrease of the porosity for all Fe0-containing systems (Fe0 > 0) yielding at the term to filter clogging for vol-% Fe0 > 51. 14 The kinetics of filter clogging under atmospheric conditions depends on Fe0 intrinsic reactivity and the water chemistry. Discussing this important issue is over the scope of this communication. However, it can be postulated that using a calculated amount of a Fe 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 0 material of known reactivity, an initial biosand filter (0 % Fe0) can be transformed to an ultra-filtration system. For example, if the depletion of used Fe0 amount could reduce the initial porosity to 70 %. Such a filter should initially contain less than 51 vol-% Fe0. Contaminant removal is due to two important processes (i) size exclusion and species trapping during expansion/contraction cycles coupled with iron oxidation within the pore space (before Fe0 depletion) and (ii) pure size exclusion upon Fe0 depletion. An important feature from Figure 3 (also see Tab. 1) is that Fe0 depletion could only occur for 0 < mFe (kg) ≤ 1.53. This corresponds to the mass of iron which corrosion yields complete fouling of the pore space. This result reveals that in a conventional three-pitcher-like filter up to 1.47 kg (from 3 kg) may be superfluous. It can be anticipated that the amount of really superfluous Fe0 depends on the intrinsic reactivity of the material. In all the cases, bringing more than 70 vol-% Fe0 in the reactive zone could be regarded as pure resource wastage. Furthermore, too high Fe0 proportions yield to more rapid clogging (or short filter service live) as uniform corrosion produces more Fe oxides within the pore space (see below). Figure 3 also shows the evolution of consumed and non-consumed Fe0 as function of the initial volumetric proportion of Fe0 in the reactive zone. It can be seen that Fe0 depletion (100 % 15 consumption) can occur only in systems with up to 51 vol-% iron. It appears that there are two types of reactive zone: (i) type 1: Fe 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 0 > vol-51 %, the pore space is totally filled with iron corrosion products but iron is not depleted, and (ii) type 2: Fe0 < 51 vol-%, iron is depleted but the pore space is not totally filled by iron corrosion products. Depending on the reactivity of Fe0, it can be postulated that filters with 30 to 55 vol-% Fe0 may be very efficient for safe water production. The optimal proportion in filters has to be ascertained in feasibility laboratory studies. Recently, Gottinger [67] reported on a very efficient system containing only 30 vol-% Fe0 for efficient As removal in a pilot plant for a small community in Saskatchewan/Canada. The results of Gottinger [67] could be regarded as the first validation of the conceptual approach presented here. Gottinger’s design was based on primary calculations considered as a rough estimate by the authors [68, 69]. The present work has improved the calculus of Leupin et al. [68] in taking into account the inter-granular voids in the Fe0/sand bed. The results show that simple Fe0/sand filters (3-Kolshi filters, KAF) have been abandoned because of lack of system understanding. The theoretical calculations of the present study and the encouraging results of Gottinger [67] suggest that the huge potential of Fe0/sand filters is yet to be exploited. 4.7 Expanding the reactive zone The presentation above has shown two important features: (i) a good Fe0 filter may contain only about 40 vol-% Fe0 mixed with sand; (ii) with 3 kg Fe0 a reactive zone is only 8.5 mm high. 16 Realizing such a thin homogeneous reactive zone with a mixture of Fe0 and sand necessarily requires particular experimental aptitudes and could be a laborious task. On the other hand, a filter with only less than 1.50 kg Fe 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 0 may be of limited service life. Therefore, one could keep the Fe0 mass constant to 3 kg and vary the mass of sand to achieve various percent of Fe0 in the reactive zone. In this effort, it should be kept in mind, that the reactive zone should ideally not exceed 10 cm (1/4 to 1/5 of the fine sand layer). On the other hand the calculations above have shown that Fe0 depletion occurs for too low Fe0 proportions. In such cases, the desired enhancement of the biosand filter performance could remain unsatisfactorily. Based on these considerations this discussion was limited to Fe0 > 10%. Table 2 shows that the result of dilution 3 kg Fe0 with various amounts of sand is a thicker reactive zone (up to 8.5 cm). The relative porosity Φ/Φ0 versus the consumed iron proportion (% consumed Fe) is shown in Table 2, Figure 3, and Figure 4. As discussed above, the trend is the same as for Hrz = 8.5 mm. A similar identity is obtained for the evolution of the relative porosity Φ/Φ0 (Fig 4). Figure 3b gives a more specific image of both systems based on the evolution of the excess Fe0 mass. Figure 3b shows the evolution of a conventional three-pitcher filter (point A) as: (i) the thickness of the reactive zone increases from 0.85 to 8.5 cm (line ABC), and (ii) the proportion of iron varies from 100 to 10 vol-% in 0.85 cm reactive zone (line ADE). The line AFG corresponds to the 17 evolution of the excess Fe0 (% non consumed) in the reactive zone with 3 kg Fe0. Point G (0 % Fe0) corresponds to a biosand filter. The line BDF corresponds to filter clogging (porosity equal to zero). The major difference between both investigated systems (constant and variable reactive zones) is reflected in the segment AB and AD. From D to A no additional Fe 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 0 consumption occurs whereas from B to A, a progressive decrease of Fe0 consumption is observed. The most important feature from Figure 3b is that the filter corresponding to point A is the system with the largest iron excess (line AF). Accordingly, the pore space is filled very quickly and the service life is very short. Therefore, the three-pitcher is the worst possible Fe0 filter. A better Fe0 consumption could be achieved by reducing the proportion of Fe0 (ADE) or augmenting the proportion of sand (ABC). While decreasing the Fe0 proportion at constant reactive zone thickness, Fe0 depletion was achieved for systems > 51 vol-% Fe0. A similar result was achieved by extending the thickness of the reactive zone. Extending the reactive zone is a better way to increase filter efficiency because more material is consumed. More Fe0 consumption is directly related to more iron corrosion products for contaminant removal and improved size exclusion. In the case of extending the reactive zone, the two types of reactive zones described for a constant (8.5 mm) reactive zone are reproduced: (i) Fe0 > vol-51 %, filter clogging occurs without Fe0 depletion; and (ii) Fe0 < 51 %, iron depletion occurs and no filter clogging is observed. Thus, a filter concealing long-term reactivity and long term permeability will contain about 50 % Fe0. In this case, 18 3.0 kg Fe0 are used compared to 1.50 kg Fe0 in the other case (see Tab. 1 and Tab.2). Although the actual kinetics of filter clogging depend on several factors, this principle calculation clearly showed that a reactive zone of 100 % Fe 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 0 (conventional three-pitcher filter) is pure material wastage. In other words, mixing inert material to reactive Fe0 is a prerequisite for efficient iron filters. The calculations above for two cases (mFe ≤ 3 kg and mFe = 3 kg) demonstrate the feasibility of delaying filter clogging by rationally choosing the proportion of Fe0 in the filter. For each specific couple (Fe0, contaminated water) researchers will have to identify the optimal Fe0 proportion in their filters as the kinetics of filter clogging depend both on (i) material intrinsic reactivity (susceptibility to corrosion) and on (ii) the aggressiveness of contaminated water. Additionally, the specific contribution of contaminants and other dissolves species (including molecular size) to pore fouling should be taken into account. 5 Concluding remarks In this communication, the perspective regarding Fe0/H2O systems as assisted slow sand filtration systems [15, 16] is rationalized and theoretically optimized. Accordingly, a Fe0/H2O system is a slow sand filtration system which efficiency is improved by addition of a calculated amount of metallic iron (Fe0). The aqueous corrosion by infiltrating raw water should ideally transform the initial Fe0/H2O filter to an ultra-filtration system. Improved efficiency is based on the volumetric expansive nature of iron corrosion which should partly fill initial pore space in the biosand-like 19 filter. Calculations demonstrate improved efficient and extended service life while using about 40 vol-% of Fe 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 0 mixed with sand. To warrant quantitative contaminant removal in the system in the initial stage of the operation, the entrance zone or a separate unit could contain very reactive powdered Fe0 material disseminated in sand. The major output for this theoretical study is that very efficiency filters could be constructed by very simple and low cost materials (Fe0 and sand). Intensive research is needed to realize this noble goal. The fate of this concept will depend on the capacity of researchers to properly characterize the reactivity of Fe0 materials and select appropriate ones for household filters. Results will be up-scalable to field Fe0 permeable barriers. Two simple methods for material selection were recently introduced [70-72]. Finally, it should be explicitly said that the approach considering remediation Fe0/H2O systems as primary filtration systems is not negating the complex chemical and physical processes (adsorption, co-precipitation, desorption, oxidation, reduction) occurring in it. On the contrary, this approach takes into account the fundamental fact that volumetric expansive iron corrosion needs free space to occur optimally and explains why so many species have been successfully removed in systems designed for individual compounds [1, 13, 50, 73, 74]. For example, Johnson et al. 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Ideally, iron depletion occurs for [Fe]0 < 51 vol-% without filter clogging. On the contrary, filter clogging occurs without material depletion for [Fe]0 > 51 vol-%. This results suggest that using filter with [Fe]0 > 70 vol-% is pure material wastage. [Fe]0 [Fe]0 [sand]0 Φ/Φ0 [Fe]∞ [Fe]∞ (vol-%) (kg) (kg) (-) (wt-%) (kg) 0.0 0.0 1.02 100 / / 10.0 0.30 0.92 80.4 100.0 0.30 20.0 0.60 0.82 60.9 100.0 0.60 30.0 0.90 0.71 41.3 100.0 0.90 40.0 1.20 0.61 21.8 100.0 1.20 50.0 1.50 0.51 2.2 100.0 1.50 51.1 1.53 0.50 0.0 100.0 1.53 60.0 1.80 0.41 0.0 85.2 1.53 70.0 2.10 0.31 0.0 73.0 1.53 80.0 2.40 0.20 0.0 63.9 1.53 90.0 2.70 0.10 0.0 56.8 1.53 100.0 3.00 0.00 0.0 51.1 1.53 550 551 31 Table 2: Composition and thickness (Hrz) of the reactive zone for 3 kg of Fe0. Fe0 and sand particles are 1.2 mm in diameter. The value C = 0.64 is considered for compactness (see text). 551 552 553 [Fe]0 [Fe]0 [sand]0 Hrz Φ/Φ0 [Fe]∞ [Fe]∞ (vol-%) (kg) (kg) (cm) (-) (wt-%) (kg) 10.0 3.00 9.17 8.50 80.4 100.0 3.00 20.0 3.00 4.08 4.25 60.9 100.0 3.00 30.0 3.00 2.38 2.83 41.3 100.0 3.00 40.0 3.00 1.53 2.13 21.8 100.0 3.00 50.0 3.00 1.02 1.70 2.2 100.0 3.00 51.1 3.00 0.97 1.66 0.0 100.0 3.00 60.0 3.00 0.68 1.42 0.0 85.2 2.56 70.0 3.00 0.44 1.21 0.0 73.1 2.19 80.0 3.00 0.25 1.06 0.0 63.9 1.91 90.0 3.00 0.11 0.94 0.0 56.8 1.70 100.0 3.00 0.00 0.85 0.0 51.1 1.53 554 555 32 Figure captions 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 Fig. 1: Schematic diagrams of (a) a common BioSand filter and (b) an iron-reactive-zone containing BioSand filter. The illustration highlights major principles and generic size dimensions. Modified after ref. [14]. The thickness of the reactive layer containing up to 3 kg Fe0 discussed in the text varies from 8.5 to 42.5 mm (< 5 cm). Figure 2: Reactive zone of volumetric ratio Fe0:sand = 1:1 at the initial date (t0) and at t >> t0. At any time > t0 the pore space is filled of by iron corrosion products (rust). As iron corrosion proceeds the pore space is progressively filled by rust. The net result is a porosity loss yielding filter clogging at the term. Whether and when filter clogging occurs depends on the proportion of Fe0 in the Fe0/sand system (see text). Figure 3: Variation of the residual porosity (%), the proportion (%) and amount (g) of consumed and non-consumed (excess) Fe0 as function of the initial volumetric proportion of Fe0 in the Fe0/sand filters. In percent (%), the same trend is obtained in both systems for all parameters (a). However, there is a net difference in the mass of consumed Fe0 (b). It is clear from Fig. 3b that in the three-pitcher filter (point A, see text), iron consumption is minimal (shortest service life). The lines are not fitting functions; they simply connect points to facilitate visualization. Figure 4: Evolution of the relative porosity (Φ/Φo) of the reactive zone as function of the percent Fe0 consumption for several Fe0/sand mixtures. Again the same trend is observed for (i) a 8.5 mm 33 reactive zone initially containing 0 to 3 kg Fe0 and (ii) a 8.5 to 42.5 mm reactive zone initially containing 3 kg Fe 573 574 575 576 577 0. It can be seen that for 51 vol-% iron (3 kg) and 49 vol-% sand (0.98 kg), the pore space is filled at iron depletion. For Fe0 < 51 vol-%, no filter clogging will be observed, for Fe0 > 51 vol-% no material depletion could occur. This observation attests that a reactive zone of 100 % Fe0 is pure material wastage (see text). 34