Washing and Heat Treatment of Aluminum-Based Drinking Water Treatment Residuals to Optimize Phosphorus Sorption and Nitrogen Leaching: Considerations for Lake Restoration

: Drinking water treatment residuals (DWTRs) generated during drinking water treatment have been proposed for use in lake restoration as a solid-phase sorbent to inactivate phosphorus (P) in lake sediment. However, treatments that minimize leaching of nitrogen (N) and optimize P sorption capacity may be necessary prior to use. This study assessed seven different treatment methods, including washing and heat treatments at different temperatures and with and without oxygen limitation, among two DWTRs from Thailand. Results showed that oxygen-limited heat treatment at 600 ◦ C substantially reduced N leaching (<0.2 mg/kg TKN) while also improving P sorption capacity (increase of 18–32% compared to untreated DWTR) to a maximum of 45.7 mg P/kg. Washing with deionized water reduced N leaching if a sufﬁcient volume was used but did not improve P sorption. Heating at 200 ◦ C with or without the presence of oxygen did not improve N leaching or P sorption. Regression of P sorption parameters from a two-surface Langmuir isotherm against physio-chemical properties indicated that oxalate-extractable (i.e., amorphous) aluminum and iron were signiﬁcantly associated with total P sorption capacity (R 2 = 0.94), but micropores and oxalate-extractable P modulated the P sorption from high-afﬁnity to low-afﬁnity mechanisms. In conclusion, this study conﬁrmed the importance of amorphous aluminum in DWTRs for inactivating P, and the results suggest that high-temperature treatment under oxygen-limited conditions may be the most reliable way to optimize DWTRs for environmental remediation applications.


Introduction
Anthropogenic eutrophication of freshwater lakes as a result of excessive nutrient loading has contributed to the global proliferation of harmful cyanobacterial blooms and deterioration of ecological health of surface waters [1]. Phosphorus (P) management is recognized as an essential strategy to reduce eutrophication and improve water quality [2], particularly as part of a dual nutrient management strategy [3]. One common geoengineering strategy for P management is the addition of solid-phase sorbents to lakes, which can be used to reduce dissolved P concentrations, target external P loading, and/or inactivate P in lake sediment in order to reduce internal P loading [4][5][6]. Several metal salts and modified clays have been used and studied for internal P reduction in lakes [6]. The most commonly used solid-phase sorbents for P immobilization in lakes are aluminum (Al) salts, including aluminum sulfate (alum), polyaluminum chloride (PAC), and aluminum chloride (AlCl 3 ), having been applied to many hundreds of lakes worldwide [7]. While in-lake application of Al salts can be the most cost-effective measure to address eutrophication in lakes [8], limitations to the use of Al salts have been identified, including the possibility for transient toxicity to freshwater organisms from newly formed amorphous Al hydroxide [9] and reduced P adsorption effectiveness due to competing compounds [10] or crystalline aging of the newly formed, amorphous mineral [11]. Other P sorbents, such as iron (Fe) salts and lanthanum modified bentonites (LMBs), are limited by narrow physio-chemical conditions and cost, respectively [12,13]. Therefore, the development of new and alternative P immobilizing materials is still needed [14].
Drinking water treatment residual (DWTR) is the sludge byproduct generated in the flocculation and sedimentation unit processes of drinking water treatment production and is commonly landfilled as a waste product [15]. Because water treatment plants (WTPs) commonly use Al salts as coagulants, the DWTRs generated from WTPs often contain high amounts of Al hydroxides (Al(OH) x ) and Al ions [16,17], which are effective at adsorbing metals, metalloids, and organic compounds [18]. In particular, the Al hydroxides in DWTRs are effective at adsorbing P in the form of ortho-and polyphosphates [19]. The high P sorption capacity of DWTRs has been extensively documented [16,17,20] and is primarily associated with the amorphous Al and Fe content in the DWTR [21,22]. Due to these characteristics, much research has gone into evaluating reuses for DWTR to control P in the environment, including application as a soil amendment to reduce nutrient runoff [23] and as a soil substrate in constructed wetlands to treat wastewater and runoff [24,25]. DWTR has also been identified as a possible candidate for in situ application to lakes for sediment P inactivation [26,27].
However, DWTR contains substantial quantities of organic matter, including organic nitrogen (N) and P [28]. The N in recycled DWTR has been shown to release or desorb [29] when DWTR is used as a substrate for treating wastewater [30], in fixed-column treatment of eutrophic surface water [31], and for sediment capping [26]. In response, several pretreatment solutions have been proposed to reduce the release of N from DWTR, including oxygen-limited heat treatment [32,33], intermittent aeration [28], aging [34], washing [29], and various granulation methods [35]. However, many of these methods can be energy and resource intensive, limiting the feasibility and sustainability of DWTR as a recycled product. Additionally, these treatment methods have not been heretofore compared directly against each other but only against untreated DWTR. Therefore, it is important to isolate the effects of these treatments on N desorption and subsequent effects on P sorption capacity in order to optimize the process and elucidate the underlying mechanisms enacting changes in the characteristics of the DWTR. Furthermore, DWTR is highly variable in its composition [17,36]. The raw water source, coagulant used, and dewatering technique can affect DWTR properties [37,38]. Finally, the study of recycled DWTR for lake restoration purposes remains very limited in tropical environments.
Therefore, the purpose of this study was to identify an optimized treatment method of DWTR that achieved low N desorption and high P sorption for application in lake restoration using several DWTRs collected in tropical Thailand. The specific objectives were to: (1) generate and characterize several DWTRs using a variety of treatment methods; (2) assess the effect of the treatment methods on N desorption and P sorption; and (3) identify properties associated with P sorption capacity and, thus, provide recommendations for treatment of DWTR for use in lake restoration applications.

Collection and Preparation of DWTRs
The DWTRs used in these experiments was collected from four different WTPs that supply domestic water to municipalities in northeast Thailand, identified by two-letter abbreviations as BP, MS, DP, and UD. The WTPs produce between 14,400 and 48,000 m 3 /day of drinking water; use raw water supplied from a river, lake, or reservoir; and use PAC, alum, or a combination of PAC and alum as coagulants in treatment (Table 1). Raw DWTR was collected directly from the sedimentation tanks during regular maintenance from several different locations in the tank and then composited into plastic containers for transport back to the laboratory, where the samples were stored in a refrigerator (4 • C). Within 28 days, the composite samples were homogenized and then oven dried at 105 • C for 48 h to dewater the DWTR. The dewatered DWTR was ground and sieved to <150 µm (sieve #100).

Experimental Treatment of DWTRs
Two of the four prepared DWTRs (DP, UD) were studied for how treatment methods affect the physiochemical characteristics, P sorption capacity, and leachability of N. Seven experimental treatments were assessed ( Table 2). Washing was completed by adding dried DWTR to a glass beaker and mixing deionized water at a 1:10 m/v ratio using a glass rod for 5 min, leaving it stagnant for 3-6 h, siphoning off the supernatant, and then drying the washed DWTR for 48 h at 105 • C. A higher 1:20 m/v ratio was used in the multi-washing. Heat treatment was completed using a muffle furnace without covering the crucibles containing the dried DWTR. Oxygen-limited treatment was completed using a muffle furnace (ISOLAB Laborgeräte GmbH, Eschau, Germany) under a N 2 atmosphere while covering the crucible. Following each treatment, the treated DWTR was ground and sieved to <150 µm, similar to the prepared (untreated) DWTR. Oxygen-limited heat treatment at 600 • C OL600 heated to 600 • C for 2 h in muffle furnace with N 2 atmosphere 60-85% Multi-washing and oxygen-limited heat treatment at 600 • C MW600 Multi-washing followed by oxygen-limited treatment at 600 • C 55-80% 1 = Approximate yield was determined as the proportion of dry mass remaining following the specified treatment compared to the dry mass before treatment, which varied between DWTRs. This mass reduction follows the 10-50% reduction in mass following dewatering of fresh DWTR.

Leaching Assays
To determine the affinity of N to leach from the DWTRs, samples were mixed with deionized water at a 1:20 m/v ratio and shaken on an orbital shaker at 200 rpm for 6 h at room temperature (~23 • C) [26]. The suspension was centrifuged at 500× g for 10 min, decanted, and filtered through a 0.45-µm fiber filter. The filtered water was analyzed for ammonia (NH 3 -N), TKN, nitrate (NO 3 -N), and nitrite (NO 2 -N) using the Kjeldahl method with mercury as a catalyst. Organic N (TKN less ammonia) and total N (sum of TKN, NO 3 -N, and NO 2 -N) were computed from the analyses.

Physio-Chemical Characterization of DWTRs
Prepared and treated DWTRs were characterized for several physio-chemical properties. They were analyzed for metals using inductively coupled plasma optical emission spectrometry (ICP-OES) (EPA Method 3050B). According to the procedure, 0.1 g of dry sediment were digested using 3 mL of nitric acid (HNO 3 ) and 3 mL of perchloric acid and then analyzed using ICP-OES. The following metals were analyzed: Al, Ca, Fe, Mg, Mn, and Zn. Total N and total P were determined using the Dumas method with dry combustion [39] and ICP-OES following microwave digestion (EPA Method 3052), respectively. The Brunauer-Emmett-Teller (BET) adsorption/desorption method using nitrogen (N 2 ) at 77 K with a relative pressure (P/P 0 ) range from 0 to 1 (QUADRASORB evo Gas Sorption Surface Area and Pore Size Analyzer, Anton Paar, Graz, Austria) was used to assess the physical adsorption of the DWTRs. From this data, the QUARASORB software was able to compute the total pore volume at P/P 0 = 0.98, Langmuir specific surface area (SSA), Barret-Joyner-Halenda (BJH) cumulative adsorption pore volume (PV), Horvath-Kawazoe (HK) micropore volume, and average pore radius. Particle size distribution was determined by measuring the diameters of particles that were randomly selected from an image of each DWTR specimen developed using scanning electron microscopy (SEM) (JEOL JSM-6010LA, Tokyo, Japan). SEM samples were prepared with osmium tetroxide 1% aqueous solution and sputter-coated with gold. Five parameters characterizing the size distribution of DWTR were computed from the size distribution data, namely the 10th percentile diameter, D 10 ; 30th percentile diameter, D 30 ; 60th percentile diameter, D 60 ; coefficient of uniformity, C u ; and coefficient of curvature, C c [40]. The concentrations of oxalate-extractable Fe, Al, and P (Fe ox , Al ox , and P ox , respectively) were determined by extracting with ammonium oxalate and oxalic acid. The extraction was performed with a buffered solution of 0.2 M ammonium oxalate [(NH 4 ) 2 C 2 O 4 ] and 0.2 M oxalic acid (H 2 C 2 O 4 ) adjusted to pH 3 at a 100:1 m/v ratio using an orbital shaker for 4 h [20]. Following extraction, the samples were analyzed for Al, Fe, and P using ICP-OES. Oxalate-extractable Fe and Al represent amorphous (non-crystalline) forms of Fe and Al [41]; however, the chemicals may also extract some crystalline forms of the metals [42].

Phosphorus Sorption Capacity and Isotherms
The P sorption capacity of materials is commonly determined using batch experiments; however, the particle size, material-to-solution ratio, initial P concentration, contact time, agitation method, and method for determining maximum capacity can be highly variable across studies, with each variation having some effect on the estimate of sorption capacity [43]. In this study, 50 mg of dried DWTR were equilibrated with 10 mL of P solutions at nine concentrations (0, 1, 5, 10, 20, 50, 100, 200, and 300 mg P/L) created from H 2 PO 4 standard solution, while kept in the dark for 30 days and shaken by hand once per day. After 30 days, the tubes were centrifuged at 500× g for 10 min. Each batch was conducted in triplicate. The amount of P sorbed was determined as the reduction in P following the conclusion of the batch experiment, with P measured using ascorbic acid colorimetric spectrophotometry.
Since adsorption cannot be distinguished in these tests from other mechanisms, the term sorption was used here to refer to all P retention mechanisms collectively [44]. The P sorption capacity of DWTRs was determined using a nonlinear two-surface Langmuir isotherm [45] with a modification to account for native P desorption [46]. Equation (1): where Q is the amount of P sorbed according to the modified two-surface Langmuir equation, C is the aqueous concentration of P following equilibrium; b 1 and b 2 are the highand low-affinity P sorption capacities; K 1 and K 2 are constants related to the high-and lowaffinity binding energies of P sorption; and C 0 , V 0 , and m 0 are the aqueous concentration of P following equilibrium, aqueous solution volume, and mass of DWTR added in the batch in which zero P was added, respectively. The values for parameters b 1 , b 2 , K 1 , and K 2 were determined by minimizing the sum of the squares of the residuals, using the generalized reduced gradient solver within a Microsoft Excel spreadsheet [47]. The Nash-Sutcliffe model efficiency measure, E, was also computed [48].

Statistical Analysis
The P saturation index (PSI) was computed from oxalate extraction data [20] using Equation (2): (2) where P ox , Al ox , and Fe ox were the oxalate-extractable P, Al, and Fe.
To determine which physio-chemical properties were associated with the P sorption outcomes (b, b 1 , b 2 , K 1 , K 2 ), each P sorption outcome was independently regressed against physio-chemical parameter values. Potential factors considered included Al, Fe, Al ox , Fe ox , P ox , PSI, calcium (Ca), total P, Langmuir SSA, BJH cumulative adsorption PV, HK micropore volume, average pore radius, D 30 , and D 60 . First, visual inspection was used to identify non-linear relationships, and log transformation was used if necessary. Next, Pearson's product-moment correlation was computed for all variables. Variables that correlated (p < 0.20) with the P sorption outcome were included in an initial multiple linear regression (MLR) model for that outcome (5 total MLR models). Backwards stepwise methods were used to remove independent variables until the final MLR model included only significant factors (significance level, α = 0.05).

Metal and Nutrient Content
Despite differences in the initial contents in the two raw DWTRs (Supplementary  Materials Table S1), the experimental treatments had relatively consistent effects on the contents of metals and nutrients ( Figure 1). The metals Al, Fe, Mn, and Zn generally increased in concentration following treatment, with greater increases occurring at higher treatment temperatures. For this group of metals, washing had minimal effects on the contents. Therefore, these compounds were relatively stable, and the changes observed in heat treatments were likely the result of a concentrating effect as other compounds were removed during treatment.
A second group of metals, however, consisted of Ca and Mg, which are commonly divalent. While their concentrations also increased from oxygen-limited heat treatments (i.e., pyrolysis), they decreased as a result of non-oxygen-limited (i.e., oxidation) heat treatments (200 and 600) and single washing treatment (W). These minerals are important to organic material and may have been associated with organic material that was combusted during oxidation or associated with fine particles mobilized and removed during washing. The data for total P followed the same trend, suggesting changes in Mg and Ca were associated with P. When oxygen-limited heat treatments were used, the Ca and Mg contents increased, despite the decreases observed at equivalent temperatures when oxygen was not limited (Figure 1).
Generally, every treatment reduced total N. The reduction of total N ranged from 10 to 80%, depending on the treatment. However, the high-temperature oxygen-limited heat treatments (i.e., OL600 and MW600) removed significant non-nutrient mass (as indicated by the increased metals content), which masked the overall reduction in total N due to the reduction of the overall mass of the material. Organic N was abundant in the leachate water generated during washing (Supplementary Materials Table S2), indicating that washing mobilized fine particles containing organic N from the DWTR.  Table 2.
While the Al and Fe contents are generally important for P adsorption, adsorption is specifically related to the amount of Al and Fe that is in an amorphous (i.e., non-crystalline) form, as measured by Alox and Feox [20]. Overall, each of the DWTRs in raw and treated forms contained higher amounts of Alox compared to Feox, which can be expected because all four WTPs used Al-based coagulants ( Figure 2). The total amount of Alox and Feox in the raw DWTR collected from DP was lower than the raw DWTR from UD, which was likely due to the type and amount of coagulant used. The UD WTP used alum (as opposed to PAC) and had higher turbidity, requiring higher coagulant doses. The results also showed that oxygen-limited heat treatments of 600 °C increased the contents of Alox and Feox in both DWTRs ( Figure 2). On the other hand, washing and non-oxygen-limited heat treatments had no effect or marginally reduced the concentrations of Alox and Feox.  Table 2.
Generally, every treatment reduced total N. The reduction of total N ranged from 10 to 80%, depending on the treatment. However, the high-temperature oxygen-limited heat treatments (i.e., OL600 and MW600) removed significant non-nutrient mass (as indicated by the increased metals content), which masked the overall reduction in total N due to the reduction of the overall mass of the material. Organic N was abundant in the leachate water generated during washing (Supplementary Materials Table S2), indicating that washing mobilized fine particles containing organic N from the DWTR.
While the Al and Fe contents are generally important for P adsorption, adsorption is specifically related to the amount of Al and Fe that is in an amorphous (i.e., non-crystalline) form, as measured by Al ox and Fe ox [20]. Overall, each of the DWTRs in raw and treated forms contained higher amounts of Al ox compared to Fe ox , which can be expected because all four WTPs used Al-based coagulants ( Figure 2). The total amount of Al ox and Fe ox in the raw DWTR collected from DP was lower than the raw DWTR from UD, which was likely due to the type and amount of coagulant used. The UD WTP used alum (as opposed to PAC) and had higher turbidity, requiring higher coagulant doses. The results also showed that oxygen-limited heat treatments of 600 • C increased the contents of Al ox and Fe ox in both DWTRs ( Figure 2). On the other hand, washing and non-oxygen-limited heat treatments had no effect or marginally reduced the concentrations of Al ox and Fe ox .

Nitrogen Gas Sorption/Desorption
The N 2 adsorption/desorption isotherms indicated that the DP DWTRs ( Figure 3a) had higher overall pore space as compared to the UD DWTRs ( Figure 3b). The maximum volume of N 2 that adsorbed to DP-OL600 and DP-MW was 187 and 182 cm 3 /g, respectively, whereas the maximum volume of N 2 that adsorbed to UD-OL600, UD-MW600, and UD-MW was 150, 150, and 148 cm 3 /g, respectively. Comparing the shapes of the isotherms between DP and UD, however, showed that overall porosity was distributed in different pore sizes, indicating different structures of the two materials. The shapes of the DP isotherms indicated that most of the pore space was macroporous (P/P 0 > 0.8). On the other hand, the higher volume of N 2 adsorbed at low relative pressures (P/P 0 < 0.1) in the UD DWTRs indicated the presence of micropores [49]. The data reduction parameters derived from the BJH and HK models quantified these observations. The HK micropore volumes in the UD DWTRs ranged from 0.031 to 0.069 cm 3 /g but from 0.020 to 0.032 cm 3 /g in the DP DWTRs (Table 3).

Nitrogen Gas Sorption/Desorption
The N2 adsorption/desorption isotherms indicated that the DP DWTRs ( Figure 3a) had higher overall pore space as compared to the UD DWTRs ( Figure 3b). The maximum volume of N2 that adsorbed to DP-OL600 and DP-MW was 187 and 182 cm³/g, respectively, whereas the maximum volume of N2 that adsorbed to UD-OL600, UD-MW600, and UD-MW was 150, 150, and 148 cm³/g, respectively. Comparing the shapes of the isotherms between DP and UD, however, showed that overall porosity was distributed in different pore sizes, indicating different structures of the two materials. The shapes of the DP isotherms indicated that most of the pore space was macroporous (P/P0 > 0.8). On the other hand, the higher volume of N2 adsorbed at low relative pressures (P/P0 < 0.1) in the UD DWTRs indicated the presence of micropores [49]. The data reduction parameters derived from the BJH and HK models quantified these observations. The HK micropore volumes in the UD DWTRs ranged from 0.031 to 0.069 cm³/g but from 0.020 to 0.032 cm³/g in the DP DWTRs (Table 3).
The adsorption/desorption isotherms for the DP DWTRs ( Figure 3a) could be classified as reversible type II isotherms [50]. The isotherms indicated that the DP DWTRs were nonporous powders. On the other hand, the isotherms for the UD DWTRs (Figure 3b) could be classified as type II isotherms with type H3 hysteresis loops [50]. These hysteresis loops indicated some interconnected pores with narrow bottlenecks.
Generally, the experimental treatments did not substantially change the shape of the isotherms, indicating the material did not change form during treatment. However, the amount and distribution of pore spaces was affected by treatment. Single washing (W) created the lowest N2 adsorption volumes in the DWTRs from both DP and UD, suggesting the washing treatment filled voids and reduced porosity. In both the DP and UD DTWRs, the multi-washing treatment increased micropores, as indicated by the high adsorption volume at low relative pressures and higher HK micropore volumes (Table 3). Oxygen-limited heat treatments at 600 °C increased the pore volume.    The adsorption/desorption isotherms for the DP DWTRs ( Figure 3a) could be classified as reversible type II isotherms [50]. The isotherms indicated that the DP DWTRs were nonporous powders. On the other hand, the isotherms for the UD DWTRs ( Figure 3b) could be classified as type II isotherms with type H3 hysteresis loops [50]. These hysteresis loops indicated some interconnected pores with narrow bottlenecks.
Generally, the experimental treatments did not substantially change the shape of the isotherms, indicating the material did not change form during treatment. However, the amount and distribution of pore spaces was affected by treatment. Single washing (W) created the lowest N 2 adsorption volumes in the DWTRs from both DP and UD, suggesting the washing treatment filled voids and reduced porosity. In both the DP and UD DTWRs, the multi-washing treatment increased micropores, as indicated by the high adsorption volume at low relative pressures and higher HK micropore volumes (Table 3). Oxygen-limited heat treatments at 600 • C increased the pore volume.

P Sorption Capacity
The DWTRs had a high affinity to sorb P based on the results of the P sorption batch experiments ( Figure 4). The two DWTRs from this study that were experimentally treated had the lowest (DP) and highest (UD) P sorption capacities among the four raw DWTRs (Figure 4a). Treatments caused minimal changes in the P sorption isotherms of the DWTR from DP (Figure 4b). On the other hand, more substantial changes in the P sorption isotherms occurred as a result of experimental treatments in the DWTR from UD ( Figure 4c). Relative to the raw form, the low-temperature treatments (OL200 and 200) and washing (MW and W) slightly reduced the P sorption capacity of the UD DWTR, while the other treatments that included higher temperatures increased the P sorption capacity of the DWTR.
The two-surface Langmuir isotherm described the P sorption data well. The Nash-Sutcliffe efficiency metric, E, ranged from 0.993 to 0.999 (Table 4). From the two-surface Langmuir isotherms, the total P sorption capacity could be characterized as being comprised of two different components, which were identified by b 1 and b 2 . The high-affinity P sorption, represented by parameter b 1 , was increased by high-temperature treatments. On the other hand, the low-affinity P sorption (b 2 ) was higher than b 1 and was less variable across treatments. The binding energy constant for the high-affinity sorption, K 1 , was also affected by the treatment. The high-temperature treatments appeared to increase the binding energy constant. The binding energy constant for low-affinity P sorption (K 2 ), however, remained relatively constant across all samples and treatments.

Nitrogen Desorption
Overall, the DWTR from the UD WTP had more total N, as seen in the untreated (raw) form ( Figure 5, left axis). Every treatment reduced total N contained within the dried sediment of both DWTRs. However, the amount of total N that was leached (as TKN) in the experiments varied, with some treatments being more successful in reducing N leachability (lighter bars in Figure 5, shown as a 1/10 scale, right axis). Laboratory analysis of N forms found that leachate had very low concentrations of nitrate and nitrite, while most of the TKN consisted of organic N (Supplementary Materials Table S3). Notably, the 200 • C heat treatments-both with and without oxygen limitation-were not effective at reducing N content or leachability. In fact, the mass of N that leached from DWTRs with oxygen-limited heat treatment at 200 • C increased, suggesting decomposition of organic N occurred. Washing reduced total N contents, with repeated washing (MW) reducing N further. The MW treatments showed very little N leaching, with less than 200 mg N/kg DWTR, and resulted in nearly zero N leached for DP-MW. The ability of washing to reduce leachable N was likely limited by the volume of water used during washing. Because the amount of leachable N was higher in the UD DWTR relative to the DP DWTR, the volume of water used for washing may have been insufficient to remove the leachable N from this DWTR. Overall, the 600 • C heat treatments reduced total N the most. When oxygen was limited during the 600 • C heat treatment, N leaching was eliminated entirely. Oxygen limitation likely sequestered N via formation of biochar, volatilizing N compounds, and forming stable aromatic compounds [51].

Association of P Sorption Parameters with Physio-Chemical Characteristics
Regression of each of the five P sorption outcomes derived from the two-surface Langmuir equation against the physio-chemical properties elucidated what mechanisms were driving P sorption. Overall, Al ox and Fe ox were significantly associated with P sorption. Total P sorption capacity was significantly associated with the sum of Al ox and Fe ox ( Table 5). Each of the P sorption components (b 1 and b 2 ) were also associated with the sum of Al ox and Fe ox . However, b 1 and b 2 were also associated with changes in the HK micropore volume. The high-affinity P sorption, b 1 , was negatively correlated with micropore volume, while the low-affinity P sorption, b 2 , was positively correlated with micropore volume. Additionally, b 2 was positively correlated with P ox . Table 5. Regression coefficients (95% confidence intervals of coefficients) for five final linear regression models (n = 18). The model for high-affinity capacity, b 1 , F(2,15) = 60.3 (p < 0.001) adjusted R 2 = 0.87 had two significant factors (α = 0.05). The model for low-affinity capacity, b 2 , F(3,14) = 25.6 (p < 0.001) adjusted R 2 = 0.81 had three significant factors. The model for high-affinity binding energy constant, K 1 , F(1,16) = 35.0 (p < 0.001) adjusted R 2 = 0.67 had one significant factor. No factors were significantly associated with the low-affinity binding energy constant, K 2 . The model for total P sorption capacity F(1,16) = 253 (p < 0.001) adjusted R 2 = 0.94 had one significant factor. Despite considering several physio-chemical properties, the overall P sorption capacity (sum of b 1 and b 2 ) was well described (R 2 = 0.94) by a single parameter: the sum of Al ox and Fe ox ( Figure 6). Collectively, these results suggest that the sorption kinetics and necessary concentration gradients are mediated by the pore structure and presence of occupied sorption sites.

Effect of DWTR Treatment on Key Physio-Chemical Characteristics
The aim of the research was to identify treatments of DWTR that resulted in higher P sorption capacity and lower desorption of N. From the results, it was determined that overall P sorption capacity was strongly associated with Alox and Feox content and no other physio-chemical properties. Thus, in order to increase P sorption capacity, the aim should be to increase the Alox content (ignoring Feox, in this case, because the studied DWTRs were generated form the use of Al-based coagulants). However, the affinity of the P sorption reaction was modulated by micropore volume and Pox. That is, micropore volume and Pox shifted P sorption to low-affinity reactions. However, it is unclear whether more

Effect of DWTR Treatment on Key Physio-Chemical Characteristics
The aim of the research was to identify treatments of DWTR that resulted in higher P sorption capacity and lower desorption of N. From the results, it was determined that overall P sorption capacity was strongly associated with Al ox and Fe ox content and no other physio-chemical properties. Thus, in order to increase P sorption capacity, the aim should be to increase the Al ox content (ignoring Fe ox , in this case, because the studied DWTRs were generated form the use of Al-based coagulants). However, the affinity of the P sorption reaction was modulated by micropore volume and P ox . That is, micropore volume and P ox shifted P sorption to low-affinity reactions. However, it is unclear whether more high-or low-affinity sorption would be beneficial for DWTR applied to inactivate P in lake sediment. Therefore, it is likely that treatment can focus primarily on increasing Al ox (and/or Fe ox ) and decreasing labile (i.e., releasable) N in DWTR.
Qualitatively comparing the results showed that oxygen-limited heat treatment at 600 • C was the optimal treatment method ( Table 6). If the 600 • C heat treatment was not oxygen limited and included oxidation reactions (i.e., "600"), the results were favorable, but less so compared to when oxygen was limited. Lower-temperature treatments (i.e., at 200 • C) did not improve the qualities of the DWTR and increased N lability. Finally, washing may be an option for reducing labile N, as long as sufficient volumes of water are used, and multiple rounds of washing are conducted until N concentrations in leachate water are low. Multi-washing (in this study three times) reduced the lability of N; however, it did not improve the Al ox content. used, and multiple rounds of washing are conducted until N concentrations in leachate water are low. Multi-washing (in this study three times) reduced the lability of N; however, it did not improve the Alox content.

Discussion
This study found that DWTRs had a very high P sorption capacity, and P sorption capacity was strongly correlated to the amount of oxalate-extractable (i.e., amorphous) Al and Fe in the DWTRs. Heat treatment at 600 °C, especially under limited oxygen conditions, increased the concentration of amorphous Al and Fe and reduced the leachability of N. Repeated washing of the DTWR was able to reduce N leachability if sufficient volume of water was used but did not confer any enhancements to P sorption capacity.

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities of DWTRs, as determined by equilibrating with orthophosphate solution under circumneutral pH conditions (Table 7). P sorption capacities previously reported for DWTRs ranged from 0.3 to 41.7 mg P/g. The P sorption capacities of the DWTRs in this study (19.5 to 45.7 mg P/g) were in the upper range of those values and in some cases exceeded the highest P sorption capacity previously reported for DWTRs.
The higher P sorption values reported in this study can be explained by four factors. First, this study used heat treatment to concentrate Alox and Feox and, thus, increase P sorption capacity. Previous P sorption studies used only air-dried DWTRs. The effect of heat treatment on adsorption in DWTRs has been previously investigated, but other sorbates were used, such as mercury [33]. Secondly, the DWTRs in this study were ground to a fine particle size (<150 µm). Research has shown that grinding and sieving DWTRs to a smaller particle size increased the maximum P sorption capacity [20]. Correspondingly, the highest reported P sorption capacities were in studies that used particle sizes less than 600 µm (Table 7). Thirdly, this study used a sufficiently long contact time (30 days) to reach sorption equilibrium. P sorption kinetics generally reach zero after 6 to 10 days, even when continuous agitation is used [20,52]. Fourthly, the use of alum (as opposed to PAC or other Al-based coagulants) in the WTP may be a factor that increased P sorption capacity. Alum may have required higher doses for coagulation or resulted in more amorphous structures in the DWTR. The raw water quality and amount and type of coagulant used

Discussion
This study found that DWTRs had a very high P sorption capacity, and P sorption capacity was strongly correlated to the amount of oxalate-extractable (i.e., amorphous) Al and Fe in the DWTRs. Heat treatment at 600 °C, especially under limited oxygen conditions, increased the concentration of amorphous Al and Fe and reduced the leachability of N. Repeated washing of the DTWR was able to reduce N leachability if sufficient volume of water was used but did not confer any enhancements to P sorption capacity.

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities of DWTRs, as determined by equilibrating with orthophosphate solution under circumneutral pH conditions (Table 7). P sorption capacities previously reported for DWTRs ranged from 0.3 to 41.7 mg P/g. The P sorption capacities of the DWTRs in this study (19.5 to 45.7 mg P/g) were in the upper range of those values and in some cases exceeded the highest P sorption capacity previously reported for DWTRs.
The higher P sorption values reported in this study can be explained by four factors. First, this study used heat treatment to concentrate Alox and Feox and, thus, increase P sorption capacity. Previous P sorption studies used only air-dried DWTRs. The effect of heat treatment on adsorption in DWTRs has been previously investigated, but other sorbates were used, such as mercury [33]. Secondly, the DWTRs in this study were ground to a fine particle size (<150 µm). Research has shown that grinding and sieving DWTRs to a smaller particle size increased the maximum P sorption capacity [20]. Correspondingly, the highest reported P sorption capacities were in studies that used particle sizes less than 600 µm (Table 7). Thirdly, this study used a sufficiently long contact time (30 days) to reach sorption equilibrium. P sorption kinetics generally reach zero after 6 to 10 days, even when continuous agitation is used [20,52]. Fourthly, the use of alum (as opposed to PAC or other Al-based coagulants) in the WTP may be a factor that increased P sorption capacity. Alum may have required higher doses for coagulation or resulted in more amorphous structures in the DWTR. The raw water quality and amount and type of coagulant used Water 2021, 13, x FOR PEER REVIEW used, and multiple rounds of washing are conducted until N concentratio water are low. Multi-washing (in this study three times) reduced the labi ever, it did not improve the Alox content.

Discussion
This study found that DWTRs had a very high P sorption capacity, capacity was strongly correlated to the amount of oxalate-extractable (i.e., a and Fe in the DWTRs. Heat treatment at 600 °C, especially under limited tions, increased the concentration of amorphous Al and Fe and reduced t of N. Repeated washing of the DTWR was able to reduce N leachability if ume of water was used but did not confer any enhancements to P sorption

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities of DWTRs, as equilibrating with orthophosphate solution under circumneutral pH condi P sorption capacities previously reported for DWTRs ranged from 0.3 to 41 P sorption capacities of the DWTRs in this study (19.5 to 45.7 mg P/g) wer range of those values and in some cases exceeded the highest P sorption ously reported for DWTRs.
The higher P sorption values reported in this study can be explained b First, this study used heat treatment to concentrate Alox and Feox and, th sorption capacity. Previous P sorption studies used only air-dried DWTR heat treatment on adsorption in DWTRs has been previously investigated, ates were used, such as mercury [33]. Secondly, the DWTRs in this study w a fine particle size (<150 µm). Research has shown that grinding and sievin smaller particle size increased the maximum P sorption capacity [20]. Co the highest reported P sorption capacities were in studies that used particle 600 µm (Table 7). Thirdly, this study used a sufficiently long contact tim reach sorption equilibrium. P sorption kinetics generally reach zero after 6 t when continuous agitation is used [20,52]. Fourthly, the use of alum (as op or other Al-based coagulants) in the WTP may be a factor that increased P s ity. Alum may have required higher doses for coagulation or resulted in mo structures in the DWTR. The raw water quality and amount and type of c Water 2021, 13, x FOR PEER REVIEW used, and multiple rounds of washing are conducted until water are low. Multi-washing (in this study three times) re ever, it did not improve the Alox content.

Discussion
This study found that DWTRs had a very high P sorp capacity was strongly correlated to the amount of oxalate-ex and Fe in the DWTRs. Heat treatment at 600 °C, especially tions, increased the concentration of amorphous Al and Fe of N. Repeated washing of the DTWR was able to reduce N ume of water was used but did not confer any enhancemen

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities equilibrating with orthophosphate solution under circumne P sorption capacities previously reported for DWTRs range P sorption capacities of the DWTRs in this study (19.5 to 45 range of those values and in some cases exceeded the high ously reported for DWTRs. The higher P sorption values reported in this study can First, this study used heat treatment to concentrate Alox a sorption capacity. Previous P sorption studies used only ai heat treatment on adsorption in DWTRs has been previousl ates were used, such as mercury [33]. Secondly, the DWTRs a fine particle size (<150 µm). Research has shown that grin smaller particle size increased the maximum P sorption ca the highest reported P sorption capacities were in studies th 600 µm (Table 7). Thirdly, this study used a sufficiently lo reach sorption equilibrium. P sorption kinetics generally rea when continuous agitation is used [20,52]. Fourthly, the use or other Al-based coagulants) in the WTP may be a factor th ity. Alum may have required higher doses for coagulation o structures in the DWTR. The raw water quality and amoun

Discussion
This study found that DWTRs had a very high P sorption capacity, and P sorption capacity was strongly correlated to the amount of oxalate-extractable (i.e., amorphous) Al and Fe in the DWTRs. Heat treatment at 600 °C, especially under limited oxygen conditions, increased the concentration of amorphous Al and Fe and reduced the leachability of N. Repeated washing of the DTWR was able to reduce N leachability if sufficient volume of water was used but did not confer any enhancements to P sorption capacity.

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities of DWTRs, as determined by equilibrating with orthophosphate solution under circumneutral pH conditions (Table 7). P sorption capacities previously reported for DWTRs ranged from 0.3 to 41.7 mg P/g. The P sorption capacities of the DWTRs in this study (19.5 to 45.7 mg P/g) were in the upper range of those values and in some cases exceeded the highest P sorption capacity previously reported for DWTRs.
The higher P sorption values reported in this study can be explained by four factors. First, this study used heat treatment to concentrate Alox and Feox and, thus, increase P sorption capacity. Previous P sorption studies used only air-dried DWTRs. The effect of heat treatment on adsorption in DWTRs has been previously investigated, but other sorbates were used, such as mercury [33]. Secondly, the DWTRs in this study were ground to a fine particle size (<150 µm). Research has shown that grinding and sieving DWTRs to a smaller particle size increased the maximum P sorption capacity [20]. Correspondingly, the highest reported P sorption capacities were in studies that used particle sizes less than 600 µm (Table 7). Thirdly, this study used a sufficiently long contact time (30 days) to reach sorption equilibrium. P sorption kinetics generally reach zero after 6 to 10 days, even when continuous agitation is used [20,52]. Fourthly, the use of alum (as opposed to PAC or other Al-based coagulants) in the WTP may be a factor that increased P sorption capacity. Alum may have required higher doses for coagulation or resulted in more amorphous structures in the DWTR. The raw water quality and amount and type of coagulant used

Discussion
This study found that DWTRs had a very high P sorption capacity, and P sorption capacity was strongly correlated to the amount of oxalate-extractable (i.e., amorphous) Al and Fe in the DWTRs. Heat treatment at 600 °C, especially under limited oxygen conditions, increased the concentration of amorphous Al and Fe and reduced the leachability of N. Repeated washing of the DTWR was able to reduce N leachability if sufficient volume of water was used but did not confer any enhancements to P sorption capacity.

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities of DWTRs, as determined by equilibrating with orthophosphate solution under circumneutral pH conditions (Table 7). P sorption capacities previously reported for DWTRs ranged from 0.3 to 41.7 mg P/g. The P sorption capacities of the DWTRs in this study (19.5 to 45.7 mg P/g) were in the upper range of those values and in some cases exceeded the highest P sorption capacity previously reported for DWTRs.
The higher P sorption values reported in this study can be explained by four factors. First, this study used heat treatment to concentrate Alox and Feox and, thus, increase P sorption capacity. Previous P sorption studies used only air-dried DWTRs. The effect of heat treatment on adsorption in DWTRs has been previously investigated, but other sorbates were used, such as mercury [33]. Secondly, the DWTRs in this study were ground to a fine particle size (<150 µm). Research has shown that grinding and sieving DWTRs to a smaller particle size increased the maximum P sorption capacity [20]. Correspondingly, the highest reported P sorption capacities were in studies that used particle sizes less than 600 µm (Table 7). Thirdly, this study used a sufficiently long contact time (30 days) to reach sorption equilibrium. P sorption kinetics generally reach zero after 6 to 10 days, even when continuous agitation is used [20,52]. Fourthly, the use of alum (as opposed to PAC or other Al-based coagulants) in the WTP may be a factor that increased P sorption capacity. Alum may have required higher doses for coagulation or resulted in more amorphous structures in the DWTR. The raw water quality and amount and type of coagulant used Water 2021, 13, x FOR PEER REVIEW 14 used, and multiple rounds of washing are conducted until N concentrations in leac water are low. Multi-washing (in this study three times) reduced the lability of N; h ever, it did not improve the Alox content.

Discussion
This study found that DWTRs had a very high P sorption capacity, and P sorp capacity was strongly correlated to the amount of oxalate-extractable (i.e., amorphou and Fe in the DWTRs. Heat treatment at 600 °C, especially under limited oxygen co tions, increased the concentration of amorphous Al and Fe and reduced the leachab of N. Repeated washing of the DTWR was able to reduce N leachability if sufficient ume of water was used but did not confer any enhancements to P sorption capacity.

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities of DWTRs, as determine equilibrating with orthophosphate solution under circumneutral pH conditions (Tab P sorption capacities previously reported for DWTRs ranged from 0.3 to 41.7 mg P/g. P sorption capacities of the DWTRs in this study (19.5 to 45.7 mg P/g) were in the u range of those values and in some cases exceeded the highest P sorption capacity p ously reported for DWTRs.
The higher P sorption values reported in this study can be explained by four fac First, this study used heat treatment to concentrate Alox and Feox and, thus, increa sorption capacity. Previous P sorption studies used only air-dried DWTRs. The effe heat treatment on adsorption in DWTRs has been previously investigated, but other s ates were used, such as mercury [33]. Secondly, the DWTRs in this study were groun a fine particle size (<150 µm). Research has shown that grinding and sieving DWTRs smaller particle size increased the maximum P sorption capacity [20]. Correspondin the highest reported P sorption capacities were in studies that used particle sizes less 600 µm (Table 7). Thirdly, this study used a sufficiently long contact time (30 day reach sorption equilibrium. P sorption kinetics generally reach zero after 6 to 10 days, e when continuous agitation is used [20,52]. Fourthly, the use of alum (as opposed to P or other Al-based coagulants) in the WTP may be a factor that increased P sorption ca ity. Alum may have required higher doses for coagulation or resulted in more amorph structures in the DWTR. The raw water quality and amount and type of coagulant u

Discussion
This study found that DWTRs had a very high P sorption capacity, and P sorption capacity was strongly correlated to the amount of oxalate-extractable (i.e., amorphous) Al and Fe in the DWTRs. Heat treatment at 600 °C, especially under limited oxygen conditions, increased the concentration of amorphous Al and Fe and reduced the leachability of N. Repeated washing of the DTWR was able to reduce N leachability if sufficient volume of water was used but did not confer any enhancements to P sorption capacity.

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities of DWTRs, as determined by equilibrating with orthophosphate solution under circumneutral pH conditions (Table 7). P sorption capacities previously reported for DWTRs ranged from 0.3 to 41.7 mg P/g. The P sorption capacities of the DWTRs in this study (19.5 to 45.7 mg P/g) were in the upper range of those values and in some cases exceeded the highest P sorption capacity previously reported for DWTRs.
The higher P sorption values reported in this study can be explained by four factors. First, this study used heat treatment to concentrate Alox and Feox and, thus, increase P sorption capacity. Previous P sorption studies used only air-dried DWTRs. The effect of heat treatment on adsorption in DWTRs has been previously investigated, but other sorbates were used, such as mercury [33]. Secondly, the DWTRs in this study were ground to a fine particle size (<150 µm). Research has shown that grinding and sieving DWTRs to a smaller particle size increased the maximum P sorption capacity [20]. Correspondingly, the highest reported P sorption capacities were in studies that used particle sizes less than 600 µm (Table 7). Thirdly, this study used a sufficiently long contact time (30 days) to reach sorption equilibrium. P sorption kinetics generally reach zero after 6 to 10 days, even when continuous agitation is used [20,52]. Fourthly, the use of alum (as opposed to PAC

Discussion
This study found that DWTRs had a very high P sorption capacity, and P sorption capacity was strongly correlated to the amount of oxalate-extractable (i.e., amorphous) Al and Fe in the DWTRs. Heat treatment at 600 °C, especially under limited oxygen conditions, increased the concentration of amorphous Al and Fe and reduced the leachability of N. Repeated washing of the DTWR was able to reduce N leachability if sufficient volume of water was used but did not confer any enhancements to P sorption capacity.

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities of DWTRs, as determined by equilibrating with orthophosphate solution under circumneutral pH conditions (Table 7). P sorption capacities previously reported for DWTRs ranged from 0.3 to 41.7 mg P/g. The P sorption capacities of the DWTRs in this study (19.5 to 45.7 mg P/g) were in the upper range of those values and in some cases exceeded the highest P sorption capacity previously reported for DWTRs.
The higher P sorption values reported in this study can be explained by four factors. First, this study used heat treatment to concentrate Alox and Feox and, thus, increase P sorption capacity. Previous P sorption studies used only air-dried DWTRs. The effect of heat treatment on adsorption in DWTRs has been previously investigated, but other sorbates were used, such as mercury [33]. Secondly, the DWTRs in this study were ground to a fine particle size (<150 µm). Research has shown that grinding and sieving DWTRs to a smaller particle size increased the maximum P sorption capacity [20]. Correspondingly, the highest reported P sorption capacities were in studies that used particle sizes less than 600 µm (Table 7). Thirdly, this study used a sufficiently long contact time (30 days) to reach sorption equilibrium. P sorption kinetics generally reach zero after 6 to 10 days, even when continuous agitation is used [20,52]. Fourthly, the use of alum (as opposed to PAC or other Al-based coagulants) in the WTP may be a factor that increased P sorption capacity. Alum may have required higher doses for coagulation or resulted in more amorphous structures in the DWTR. The raw water quality and amount and type of coagulant used Water 2021, 13, x FOR PEER REVIEW used, and multiple rounds of washing are conducted until N concentratio water are low. Multi-washing (in this study three times) reduced the labi ever, it did not improve the Alox content.

Discussion
This study found that DWTRs had a very high P sorption capacity, capacity was strongly correlated to the amount of oxalate-extractable (i.e., a and Fe in the DWTRs. Heat treatment at 600 °C, especially under limited tions, increased the concentration of amorphous Al and Fe and reduced t of N. Repeated washing of the DTWR was able to reduce N leachability if ume of water was used but did not confer any enhancements to P sorption

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities of DWTRs, as equilibrating with orthophosphate solution under circumneutral pH condi P sorption capacities previously reported for DWTRs ranged from 0.3 to 41 P sorption capacities of the DWTRs in this study (19.5 to 45.7 mg P/g) wer range of those values and in some cases exceeded the highest P sorption ously reported for DWTRs.
The higher P sorption values reported in this study can be explained b First, this study used heat treatment to concentrate Alox and Feox and, th sorption capacity. Previous P sorption studies used only air-dried DWTR heat treatment on adsorption in DWTRs has been previously investigated, ates were used, such as mercury [33]. Secondly, the DWTRs in this study w a fine particle size (<150 µm). Research has shown that grinding and sievin smaller particle size increased the maximum P sorption capacity [20]. Co the highest reported P sorption capacities were in studies that used particle 600 µm (Table 7). Thirdly, this study used a sufficiently long contact tim reach sorption equilibrium. P sorption kinetics generally reach zero after 6 t when continuous agitation is used [20,52]. Fourthly, the use of alum (as op used, and multiple rounds of washing are conducted until N concentrations in leachate water are low. Multi-washing (in this study three times) reduced the lability of N; however, it did not improve the Alox content.

Discussion
This study found that DWTRs had a very high P sorption capacity, and P sorption capacity was strongly correlated to the amount of oxalate-extractable (i.e., amorphous) Al and Fe in the DWTRs. Heat treatment at 600 °C, especially under limited oxygen conditions, increased the concentration of amorphous Al and Fe and reduced the leachability of N. Repeated washing of the DTWR was able to reduce N leachability if sufficient volume of water was used but did not confer any enhancements to P sorption capacity.

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities of DWTRs, as determined by equilibrating with orthophosphate solution under circumneutral pH conditions (Table 7). P sorption capacities previously reported for DWTRs ranged from 0.3 to 41.7 mg P/g. The P sorption capacities of the DWTRs in this study (19.5 to 45.7 mg P/g) were in the upper range of those values and in some cases exceeded the highest P sorption capacity previously reported for DWTRs.
The higher P sorption values reported in this study can be explained by four factors. First, this study used heat treatment to concentrate Alox and Feox and, thus, increase P sorption capacity. Previous P sorption studies used only air-dried DWTRs. The effect of heat treatment on adsorption in DWTRs has been previously investigated, but other sorbates were used, such as mercury [33]. Secondly, the DWTRs in this study were ground to a fine particle size (<150 µm). Research has shown that grinding and sieving DWTRs to a smaller particle size increased the maximum P sorption capacity [20]. Correspondingly, the highest reported P sorption capacities were in studies that used particle sizes less than 600 µm (Table 7). Thirdly, this study used a sufficiently long contact time (30 days) to reach sorption equilibrium. P sorption kinetics generally reach zero after 6 to 10 days, even when continuous agitation is used [20,52]. Fourthly, the use of alum (as opposed to PAC or other Al-based coagulants) in the WTP may be a factor that increased P sorption capacity. Alum may have required higher doses for coagulation or resulted in more amorphous structures in the DWTR. The raw water quality and amount and type of coagulant used used, and multiple rounds of washing are conducted until N concentrations in leachate water are low. Multi-washing (in this study three times) reduced the lability of N; however, it did not improve the Alox content.

Discussion
This study found that DWTRs had a very high P sorption capacity, and P sorption capacity was strongly correlated to the amount of oxalate-extractable (i.e., amorphous) Al and Fe in the DWTRs. Heat treatment at 600 °C, especially under limited oxygen conditions, increased the concentration of amorphous Al and Fe and reduced the leachability of N. Repeated washing of the DTWR was able to reduce N leachability if sufficient volume of water was used but did not confer any enhancements to P sorption capacity.

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities of DWTRs, as determined by equilibrating with orthophosphate solution under circumneutral pH conditions (Table 7). P sorption capacities previously reported for DWTRs ranged from 0.3 to 41.7 mg P/g. The P sorption capacities of the DWTRs in this study (19.5 to 45.7 mg P/g) were in the upper range of those values and in some cases exceeded the highest P sorption capacity previously reported for DWTRs.
The higher P sorption values reported in this study can be explained by four factors. First, this study used heat treatment to concentrate Alox and Feox and, thus, increase P sorption capacity. Previous P sorption studies used only air-dried DWTRs. The effect of heat treatment on adsorption in DWTRs has been previously investigated, but other sorbates were used, such as mercury [33]. Secondly, the DWTRs in this study were ground to a fine particle size (<150 µm). Research has shown that grinding and sieving DWTRs to a smaller particle size increased the maximum P sorption capacity [20]. Correspondingly, the highest reported P sorption capacities were in studies that used particle sizes less than 600 µm (Table 7). Thirdly, this study used a sufficiently long contact time (30 days) to reach sorption equilibrium. P sorption kinetics generally reach zero after 6 to 10 days, even when continuous agitation is used [20,52]. Fourthly, the use of alum (as opposed to PAC or other Al-based coagulants) in the WTP may be a factor that increased P sorption capacity. Alum may have required higher doses for coagulation or resulted in more amorphous structures in the DWTR. The raw water quality and amount and type of coagulant used

Discussion
This study found that DWTRs had a very high P sorption capacity, and P sorption capacity was strongly correlated to the amount of oxalate-extractable (i.e., amorphous) Al and Fe in the DWTRs. Heat treatment at 600 °C, especially under limited oxygen conditions, increased the concentration of amorphous Al and Fe and reduced the leachability of N. Repeated washing of the DTWR was able to reduce N leachability if sufficient volume of water was used but did not confer any enhancements to P sorption capacity.

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities of DWTRs, as determined by equilibrating with orthophosphate solution under circumneutral pH conditions (Table 7). P sorption capacities previously reported for DWTRs ranged from 0.3 to 41.7 mg P/g. The P sorption capacities of the DWTRs in this study (19.5 to 45.7 mg P/g) were in the upper range of those values and in some cases exceeded the highest P sorption capacity previously reported for DWTRs.
The higher P sorption values reported in this study can be explained by four factors. First, this study used heat treatment to concentrate Alox and Feox and, thus, increase P sorption capacity. Previous P sorption studies used only air-dried DWTRs. The effect of heat treatment on adsorption in DWTRs has been previously investigated, but other sorbates were used, such as mercury [33]. Secondly, the DWTRs in this study were ground to a fine particle size (<150 µm). Research has shown that grinding and sieving DWTRs to a smaller particle size increased the maximum P sorption capacity [20]. Correspondingly, the highest reported P sorption capacities were in studies that used particle sizes less than 600 µm (Table 7). Thirdly, this study used a sufficiently long contact time (30 days) to reach sorption equilibrium. P sorption kinetics generally reach zero after 6 to 10 days, even when continuous agitation is used [20,52]. Fourthly, the use of alum (as opposed to PAC or other Al-based coagulants) in the WTP may be a factor that increased P sorption capacity. Alum may have required higher doses for coagulation or resulted in more amorphous structures in the DWTR. The raw water quality and amount and type of coagulant used Water 2021, 13, x FOR PEER REVIEW 14 used, and multiple rounds of washing are conducted until N concentrations in leac water are low. Multi-washing (in this study three times) reduced the lability of N; h ever, it did not improve the Alox content.

Discussion
This study found that DWTRs had a very high P sorption capacity, and P sorp capacity was strongly correlated to the amount of oxalate-extractable (i.e., amorphou and Fe in the DWTRs. Heat treatment at 600 °C, especially under limited oxygen co tions, increased the concentration of amorphous Al and Fe and reduced the leachab of N. Repeated washing of the DTWR was able to reduce N leachability if sufficient ume of water was used but did not confer any enhancements to P sorption capacity.

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities of DWTRs, as determine equilibrating with orthophosphate solution under circumneutral pH conditions (Tab P sorption capacities previously reported for DWTRs ranged from 0.3 to 41.7 mg P/g P sorption capacities of the DWTRs in this study (19.5 to 45.7 mg P/g) were in the u range of those values and in some cases exceeded the highest P sorption capacity p ously reported for DWTRs.
The higher P sorption values reported in this study can be explained by four fac First, this study used heat treatment to concentrate Alox and Feox and, thus, increa sorption capacity. Previous P sorption studies used only air-dried DWTRs. The effe heat treatment on adsorption in DWTRs has been previously investigated, but other ates were used, such as mercury [33]. Secondly, the DWTRs in this study were groun a fine particle size (<150 µm). Research has shown that grinding and sieving DWTRs smaller particle size increased the maximum P sorption capacity [20]. Correspondi the highest reported P sorption capacities were in studies that used particle sizes less 600 µm (Table 7). Thirdly, this study used a sufficiently long contact time (30 day reach sorption equilibrium. P sorption kinetics generally reach zero after 6 to 10 days, when continuous agitation is used [20,52]. Fourthly, the use of alum (as opposed to or other Al-based coagulants) in the WTP may be a factor that increased P sorption ca ity. Alum may have required higher doses for coagulation or resulted in more amorp structures in the DWTR. The raw water quality and amount and type of coagulant

Discussion
This study found that DWTRs had a very high P sorption capacity, and P sorption capacity was strongly correlated to the amount of oxalate-extractable (i.e., amorphous) Al and Fe in the DWTRs. Heat treatment at 600 • C, especially under limited oxygen conditions, increased the concentration of amorphous Al and Fe and reduced the leachability of N. Repeated washing of the DTWR was able to reduce N leachability if sufficient volume of water was used but did not confer any enhancements to P sorption capacity.

Comparison of P Sorption Capacities
Several studies have reported the P sorption capacities of DWTRs, as determined by equilibrating with orthophosphate solution under circumneutral pH conditions (Table 7). P sorption capacities previously reported for DWTRs ranged from 0.3 to 41.7 mg P/g. The P sorption capacities of the DWTRs in this study (19.5 to 45.7 mg P/g) were in the upper range of those values and in some cases exceeded the highest P sorption capacity previously reported for DWTRs.
The higher P sorption values reported in this study can be explained by four factors. First, this study used heat treatment to concentrate Al ox and Fe ox and, thus, increase P sorption capacity. Previous P sorption studies used only air-dried DWTRs. The effect of heat treatment on adsorption in DWTRs has been previously investigated, but other sorbates were used, such as mercury [33]. Secondly, the DWTRs in this study were ground to a fine particle size (<150 µm). Research has shown that grinding and sieving DWTRs to a smaller particle size increased the maximum P sorption capacity [20]. Correspondingly, the highest reported P sorption capacities were in studies that used particle sizes less than 600 µm (Table 7). Thirdly, this study used a sufficiently long contact time (30 days) to reach sorption equilibrium. P sorption kinetics generally reach zero after 6 to 10 days, even when continuous agitation is used [20,52]. Fourthly, the use of alum (as opposed to PAC or other Al-based coagulants) in the WTP may be a factor that increased P sorption capacity. Alum may have required higher doses for coagulation or resulted in more amorphous structures in the DWTR. The raw water quality and amount and type of coagulant used are important determinants of the physio-chemical properties of DWTR and should be carefully considered before use in environmental remediation applications [16,17].

Relating P Sorption to DWTR Properties
There was a strong association between P sorption capacity and oxalate-extractable (i.e., amorphous) Al (and, to a lesser degree Fe, as this study used DWTRs with Al-based coagulants), which is consistent with previous studies [20,58]. However, other studies have identified other parameters that were also associated with P sorption. For example, SSA has been shown to be associated with P sorption capacity [16]. While SSA was assessed in this study, it was not found to be associated with P sorption. Theoretically, SSA provides additional spaces for P sorption, but the chemical composition of the surface is important. The presence of carbon and organic material can confound the relationship between SSA and P sorption [22]. Overall, despite the inclusion of several physio-chemical properties into the initial regression model, only one variable-the sum of oxalate-extractable Al and Fe-was needed to describe 94% of the variation of total P sorption capacity in these DTWRs, creating a simpler model compared to some previously developed ones [16,17].
This study used a two-surface Langmuir isotherm to describe P sorption, which not only fit the data well and is most appropriate for describing P sorption to DWTRs [47,59], but was also able to separate the P sorption capacity into different components when combined with the regression results. Previous studies have described P sorption kinetics with Al hydroxides as having a rapid initial phase followed by a slower reaction rate where a true equilibrium may not be reached [60]. High quantities of P can be sorbed within the first 15-30 min of kinetics studies [61]. However, additional P sorption occurs at a slower rate over a period of several days [49]. This initial rapid adsorption is likely a result of ligand exchange, whereas the slower phase is likely a result of surface precipitation and intraparticle diffusion into micropores [62]. Ligand exchange has been identified as a dominant P sorption mechanism in DWTRs [55]. However, precipitation and chemical reactions cannot be neglected [63,64]. Considering intraparticle diffusion, this mechanism may be driven by the concentration gradient of P at high concentrations, such as those used in the P sorption experiments of this study [65]. Thus, within the two-surface isotherm, the initial rapid high-affinity sorption phase was described by b 1 , which was negatively correlated with micropore volume. The rate of this rapid phase was also related to Al content, indicating the role of Al in ligand exchange. The slower low-affinity phase, which required higher equilibrium concentrations in the sorption batch experiments, was described by b 2 , which positively correlated with the micropore volume. Finally, oxalateextractable P, P ox , was positively associated with b 2 . P ox has been used to represent the amount of P sorption sites that are occupied, and higher levels of P ox could indicate more sorption sites saturated with P [58]. The organic content in DWTRs has also been shown to slow P diffusion into micropores [22], which would shift P sorption towards the low-affinity capacity, b 2 .

P Binding Efficiency of DWTR
The slope of the relationship between molar P sorbed and sum of molar amorphous Al and Fe (0.21) was 1.5 times higher in this study, which used a 30-day equilibrium period, when compared to a slope derived from a 6-day equilibrium (0.14) [20]. Therefore, it is likely that greater equilibrium time may explain the steeper slope (i.e., more efficient P binding) found in this study. Furthermore, this slope (using molar units) represents an approximate 5:1 ratio of (Al ox + Fe ox ):P sorbed, which is a relatively efficient binding ratio. In vitro studies of binding between freshly formed Al hydroxides and lake P sediment have shown high (i.e., inefficient) binding ratios of 20-100:1 [66][67][68]. However, the binding efficiency shown in this study is similar to in situ binding efficiencies between lake sediment P and aged Al hydroxides over a period of years, which were generally less than 11:1 [69][70][71]. Thus, this 5:1 binding efficiency ratio may represent an appropriate method for determining the dosage of DWTR for P inactivation in lake sediment. In fact, dosage of DWTR for sediment P inactivation has been proposed as a function of the mobile P in the sediment and sum of Al ox and Fe ox content in the DWTR [72]. That study, however, proposed an 83:1 ratio of (Al ox + Fe ox ):P sorbed, determined from in vitro experiments that considered changes in inorganic mobile P. A review of Al dosing methods (not necessarily DWTR), however, has shown that this approach can underestimate the P binding efficiency and recommended considering a larger pool of P that includes labile organic P but also a lower ratio of 11:1 [67].

Considerations for Treatment of DWTR
This study showed that oxygen-limited treatment at 600 • C produced the desired results of high P sorption capacity and very low N desorption. However, treatment effects produced some inconsistent results among the two DWTRs investigated. The inherent properties of DWTR can result in variable effects of treatments on properties [32]. For example, the multi-washing treatment was able to eliminate leaching of TKN from the DP DWTR, which was consistent with previous research showing desorption of N was effectively eliminated after three rounds of washing at a 1:20 m/v ratio [29]. However, despite using that same washing regimen, TKN was still released from the UD DWTR. This may be due to the higher amount of N present in the raw UD DWTR. Washing (i.e., dissolving in deionized water) relies on mobilizing fine particles and can remove finite amounts of materials, limited by the saturation limits and volume of water used. Therefore, the mass-to-volume ratio and number of washing rounds probably needs to be varied for each DWTR in order to achieve acceptably low levels of N release to the water column.
The temperature of heat treatment was important to affect the DWTR properties. Oxygen-limited heat treatment at relatively low temperatures of 200-300 • C has been shown to induce decomposition of organic matter, transforming humin organic matter to fulvic and humic acids [33]. This likely explains the limited reduction, or even increase, in N lability found in this study from 200 • C treatments. Furthermore, the presence of oxygen during heat treatment was an important factor in this study, resulting in DWTRs that differed substantially, despite being treated at equivalent temperatures for equivalent times. The presence of oxygen during heat treatment creates oxidation reactions. However, under oxygen-limited conditions at higher temperatures of 500-600 • C, carbonization and pyrolysis occurs, removing most organic matter and leaving only the more stable humin form of organic matter [31].
The Al ox content increased from oxygen-limited heat treatment at high temperatures (i.e., 600 • C). While not investigated in this study, previous work has showed even greater increases in Al ox can be achieved from 4 h of oxygen-limited treatment at temperatures of 300-400 • C [33]. Notably, because the DWTRs used in this study were taken directly from the sedimentation tanks, they contained a relatively high amount of organic matter, which may have inhibited aging of amorphous Al that occurs during heat treatment [73], allowing the Al ox to remain high despite the higher 600 • C temperature used. The increase in the concentration of Al ox and resulting increase in P sorption capacity per mass seen following 600 • C pyrolysis was likely the result of a reduction in the total non-Al mass but also structural chemical changes that occurred [74]. However, it was not possible to differentiate these two processes in this study.
Oxygen-limited heat treatment at 600 • C substantially reduced the amount of N and lability of remaining N in DWTRs as well. The release of N and organic matter is a major concern in the use of DWTRs for lake remediation [29]. DWTR treated at high temperatures (e.g., 500 • C) can result in a product that can sorb P and facilitate the growth of nitrifying bacterial colonies that result in N reduction, introducing an additional N removal pathway [75]. Irrespective of this finding, reducing the potential contribution of organic matter and N via addition of DWTR to lakes is likely necessary, as both can potentially contribute to degradation of water quality via reduced dissolved oxygen and contributions to algal growth in N-limited systems [76].
This study did not address the lability of the metals contained in the DWTRs. Previous research has shown that the most abundant metals Al, Fe, and Mn can be released from DWTR to the water column under anaerobic (reductive) conditions [77]. Chronic and/or high-concentration exposure to fresh sedimentation sludge has been shown to have harmful effects on the Daphnia genus, which is used as an indicator organism [78,79]. However, ecological and human health risk assessments have shown limited risks [80,81], especially when de-watering or treatment was completed before use of DWTR in environmental application [82]. Again, oxygen-limited heat treatment may be the most reliably safe choice for treatment. Pyrolysis has been shown to effectively fix heavy metals and reduce leaching compared to untreated sediments [74], various sludges [83], and DWTRs [33]. Nevertheless, while outside the scope of this research, the potential lability of metals needs to be considered before widescale application.
A final consideration is the economic and technological feasibility of the different treatments applied to the DWTR. The need to treat DWTR with slow-rate pyrolysis at 600 • C introduces a substantial energy requirement, and the need to limit oxygen presents an engineering challenge when scaled to produce enough DWTR for lake restoration. However, commercial modular biomass-to-biochar pyrolysis systems exist, able to produce 200 to 500 tons of biochar per year [84]. However, if these costs render DWTR more expensive than readily available and cheap alum, then the feasibility of DWTR as a solidphase P sorbent is limited. On the other hand, DWTR has ballast mass, a quality not found in floc from Al-based coagulants. Therefore, DWTR may be appropriate for use in combination with a low-dose coagulant, an approach known as "flock and lock" [85,86].

Conclusions
Drinking water treatment residuals have an inherently high phosphorus sorption capacity that is strongly related to the oxalate-extractable aluminum and iron present in the sludge. Therefore, this waste product can be recycled and used for removal of phosphorus from the environment. However, in a raw oven-dried form, substantial quantities of nitrogen were released from the residuals, which is undesirable for already eutrophic waters. Oxygen-limited heat treatment at 600 • C for two hours was able to reliably reduce the lability of nitrogen, though. Washing with water may also be able to remove labile nitrogen; however, sufficient washing volume is necessary in proportion to the amount of nitrogen present in the raw residuals. Oxygen-limited heat treatment at 600 • C offered additional benefits, including removing mass of volatile solids, which concentrated oxalate-extractable aluminum and improved phosphorus sorption capacity. Heat treatment at 200 • C and treatment in the presence of oxygen were neither able to reduce nitrogen lability nor enhance phosphorus sorption. Overall, reusing residual sludge from drinking water sedimentation for environmental remediation is an attractive option to reduce waste and increase the sustainability of urban environments. However, the technological scalability and economic feasibility need to be investigated.
Supplementary Materials: The following are available online at https://www.mdpi.com/article/10 .3390/w13182465/s1, Table S1: Chemical concentrations of raw and treated DWTRs per unit mass of dry sludge, Table S2: Concentration of Al, Fe, and forms of N in wastewater generated during single washing (W). In total, 100 g of dry DWTR was dissolved in 1 L of water (1:10 m/v ratio), Table S3: Average mass of nitrogen (N) leached into deionized water (n = 3) during leaching tests per unit of dry DWTR mass, as categorized by form of N.