Effect of Advanced Water Treatment on Behavior of Residual Chlorine in Drinking Water and Development of Method for Chlorine Concentration Control in Water Distribution Systems T.Fuchigami*, M.Takeda** and K.Terashima*** *Water Examination Laboratory, Osaka City Waterworks Bureau, 1-3-14 Kunijima, Higashiyodogawa-ku, Osaka-shi, Osaka 533-0024, JAPAN(E-mail: [email protected]) **Water Examination Laboratory, Osaka City Waterworks Bureau, 1-3-14 Kunijima, Higashiyodogawa-ku, Osaka-shi, Osaka 533-0024, JAPAN(E-mail: [email protected]) ***Water Examination Laboratory, Osaka City Waterworks Bureau, 1-3-14 Kunijima, Higashiyodogawa-ku, Osaka-shi, Osaka 533-0024, JAPAN(E-mail: [email protected]) Annotation At Osaka City Waterworks Bureau, we continuously monitor drinking water quality by telemeters located at key points in the city's supply area. From 1998 to 2000, our water treatment process was switched from the mid-chlorination water treatment(MCWT) to the advanced water treatment(AWT). As a result, we have successfully reduced the average residual chlorine concentration in drinking water within the service area by 0.21 mg L-1 while satisfying the legally required lowest concentration limit. The reason for this was because the AWT process reduced the amount of organic matter dissolved in the finished water. By analyzing the data collected by telemeters, we confirmed that the overall first-order chlorine reduction rate coefficients of the AWT were reduced to approximately half those of the MCWT. We also researched into the the chlorine volatilization from the surface of reservoir water. Laboratory-scale experiments confirmed that the reduction in chlorine concentration caused by volatilization can be analyzed by applying the zero-order rate equation. Based upon these results, we created the simulation models for chlorine concentration control in Osaka city. The models can be utilized to properly change the chlorine control values at the outflow in the water purification plants and the injection rate of additional chlorine. Keywords advanced water treatment, reduction rate coefficient, residual free chlorine, simulation model, water distribution system INTRODUCTION The article 22 of the water works law in Japan describes sanitary measures of drinking water. Based on the article, the ordinance for enforcement of the water works law defines as “All water works authorities shall disinfect water by chlorine so that tap water shall contain 0.1 mg L-1 free residual chlorine or more”. To satisfy the order, all waterworks authorities in Japan control the chlorine concentration in their water supply network to maintain more than 0.1 mg L-1. At Osaka City Waterworks Bureau (OCWB), we continuously monitor the quality of drinking water using water quality remote monitoring devices (telemeters: TMs) installed at key points throughout the city’s water supply network. These monitoring items include free residual chlorine and other items. We use the monitoring data for the detection of accidental water quality deterioration and to control the free residual chlorine concentration in the drinking water distributed to the whole city area as low as possible at a predetermined target value. From 1998 to 2000, we switched our water treatment process from the mid-chlorination water treatment (MCWT) process to the latest advanced water treatment (AWT) process. We analyzed the behavior of free chlorine concentration in the network before and after the introduction of AWT using the stored data measured by telemeters. The analysis result shows that the behavior of chlorine in the network is obviously different when the water treatment method has changed. This paper reports the behavior of residual free chlorine in the supply network, especially on the effects of the AWT process on the control of free chlorine concentration and the change in free chlorine concentration reduction rate in the water distribution network. We also mention about the residual chlorine simulation system developed for Osaka city based on the chlorine behavior research mentioned above and the results of laboratory experiments. WATER PURIFICATION PROCESS AND AUTOMATED WATER QUALITY REMOTE MONITORING SYSTEM OF OSAKA CITY Osaka City, which has an area of about 222 km2 and a population of about 2.6 million people, is located close to the center of Japan. OCWB purifies drinking water at Kunijima Water Purification Plant (purification capacity: 1.18 million m3day-1), Niwakubo Water Purification Plant (purification capacity: 0.80 million m3day-1), and Toyono Water Purification Plant (purification capacity: 0.45 million m3day-1) and distributes purified water to every location within the city area. The quality of raw water from the Yodo River was good until about the 1950s, but it worsened since then. So with a view to improving the comprehensive quality of tap water, especially for eliminating musty odor and reducing trihalomethane, OCWB has changed the water purification method to the AWT with a two-stage process of ozonation and granular activated carbon (GAC) treatment. The conventional MCWT and AWT processes are shown in Figure 1. Sodium hypochlorite solution is used as the chlorine agent. (a) MCWT (conventional) Raw Water chlorine Coagulation/Sedimentation chlorine Rapid Sand Filter Finished Water chlorine (b) AWT Raw Water Coagulation/Sedimentation Figure 1 Mid-O3 Rapid Sand Filter Post-O3 Finished Water GAC Flow chart of water purification treatment in Osaka City φ1500 φ1500 OCWB has the automated water quality remote monitoring system in order to continuously check the tap water quality and control residual free chlorine at the proper concentration in the water distribution network. This monitoring system consists of 40 telemeters located at 31 taps and outflows of 9 water distribution plants in the supply area. Each telemeter measures six water quality items (free residual chlorine, water temperature, turbidity, color, pH value, and electric conductivity) and transmits the data to Water Examination Laboratory and Water Distribution Information Center using the dedicated line. The display device Niwakubo W.P.P installed in the laboratory can show the trend lines, list tables and put data on the maps, which are based on updated measuring values in any 1 minute, on the monitor screen. Each water quality 0 2km instrument in the telemeter keeps an accurate measurement by monthly routine maintenance and a yearly precise checkup. φ150 0 φ1500 φ1500 W.D.P: Water Distribution Plant φ1500 W.P.P: Water Purification Plant Tatsumi W.D.P φ1350 TM③ φ1500 φ900 φ150 0 φ1000 (tap) φ300 ESTIMATION OF OVERALL RATE COEFFICIENTS FOR THE REDUCTION IN RESIDUAL FREE CHLORINE CONCENTRATIONS IN THE WATER DISTRIBUTION PROCESS The reduction in chlorine concentrations in the water distribution system in Osaka City was analyzed using a first-order rate equation based on the results of telemeter measurement [1]. Figure 2 shows the water distribution system analyzed. As represented in the figure, sodium hypochlorite is added to water in Niwakubo Water Purification Plant. Telemeter ① was installed at the outflow site of Tatsumi Water Distribution Plant and Telemeters ② and ③ were at the taps. The residence time from the outflow site of the water purification plant to Telemeters ①, ② and ③ was 6.5, 8.8 and 17.0 hours (in the case of the water supply from Niwakubo Water Purification Plant: 364,400 m3 day-1). TM: telemeter φ: pipe diameter (mm) TM① (outflow) φ1000 φ1200 φ1500 φ600 00 φ6 TM② (tap) Figure 2 Water distribution system analyzed The reduction rate of free chlorine concentration in the water distribution system, rall, is expressed by the following equation: rall = − dC = k all C dt (1) where C is a free chlorine concentration measured by each telemeter installed in the water distribution system, t is the residence time from the outflow site of the water purification plant to each telemeter and kall is the observed reduction rate coefficient of free chlorine concentration in the water distribution system, which is estimated as the slope of the regression line obtained from plotting the logarithmic ratios of C to free chlorine concentration at the point where the water is released from the water purification plant, C0 (ln C/C0) against t. LABORATORY EXPERIMENTS The two factors that reduce free chlorine concentration in the water distribution system was determined separately by laboratory experiments, i.e., (a) bulk phase free chlorine consumption caused by the reaction between free chlorine and dissolved organic matters [2], (b) reduction in free chlorine concentration caused by volatilization from the water surface. Free chlorine concentrations were measured by the N,N’-diphenyl-p-phenylenediamine colorimetric procedure using a spectrophotometer (Shimadzu Corp.). Test waters All experiments were carried out with the MCWT and AWT waters which were treated at Niwakubo Water Purification Plant. Both were the outflows of water stored in the clear water reservoir for several hours after chlorine injection at the purification plant. Chlorine-solution-added purified water adjusted at pH 7.5 with dilute sodium hydroxide solution and dilute sulfuric acid solution was also used. Apparatus and reagents Glass-stoppered 25 mL test tubes and 2000 mL beakers (inner diameter: 125 mm, height: 200 mm) were used for the experiment. This glass apparatus was soaked in sodium hypochlorite solution prior to the experiment and free chlorine consumption by the glass surface was eliminated. To prepare the chlorine solution, chlorine gas was generated from sodium hypochlorite and absorbed in sodium hydroxide solution, subsequently the solution was adjusted at pH 8 with sulfuric acid and diluted with purified water. The purified water used was Milli-Q water (Millipore Corp.). Methods (a)Experiment on the free chlorine consumption in bulk phase Several glass-stoppered test tubes were filled with a water sample and sealed with a stopper. Subsequently, the test tubes were kept dark in a constant-temperature oven at a specified temperature. At the same time, free chlorine concentration in one test tube was measured and regarded as the initial concentration (C0). Free chlorine concentration in each tube was measured at predetermined intervals. (b)Experiment on the reduction in free chlorine concentration caused by volatilization from a water surface First, 1500 mL of purified water was put into a 2000 mL beaker and the beaker was kept dark in a constant-temperature oven to attain a predetermined water temperature. Subsequently, a chlorine solution was added to purified water up to the predetermined free chlorine concentration and stirred. Several glass-stoppered test tubes were filled with the mixture in the beaker and sealed with each stopper. After accurately measuring the volume of solution in the beaker to be 1000 mL, the beaker in which the water sample was continuously stirred and test tubes were kept dark in a constant-temperature oven. Free chlorine concentration was measured simultaneously and regarded as the initial concentration (C0). After a predetermined period, a 20 mL water sample was collected from the beaker and the free chlorine concentration was measured. The free chlorine concentration in one of test tubes was also determined. The constant-temperature oven was attached with a vent-hole, so it was therefore not a closed environment. RESULTS AND DISCUSSION Change of the residual chlorine concentration in Osaka City after the introduction of AWT We compared free chlorine concentrations measured Table 1 Comparison the residual free at taps before and after the AWT process was chlorine concentrations measured by introduced. Table 1 shows the maximum, minimum, telemeters in Osaka City mean and standard deviation values of monthly average MCWT AWT free chlorine concentrations that were measured in (FY1997) (FY2000) FY1997 and FY2000 at 20 telemeters excluding those -1 mg L 0.98 0.65 Max at water distribution plants. The data for FY1997 were -1 mg L Min 0.31 0.30 obtained before the AWT was introduced, whereas the -1 mg L Mean 0.64 0.43 data for FY2000 were obtained after completion of the -1 mg L SD 0.14 0.06 supply of the AWT water throughout the whole city. As SD: standard deviation can be seen from Table 1, the minimum free chlorine concentrations in FY1997 and FY2000 were almost equal. This is because, in both fiscal years, we controlled the free chlorine concentrations so that its minimum value would be maintained at 0.3 mg L-1 at each telemeter. The maximum and yearly average concentrations in FY1997 were higher than in FY2000 with differences of 0.33 mg L-1 and 0.21 mg L-1, respectively. The standard deviation, a statistical measure of data dispersion, was also higher in FY1997 than in FY2000. To clarify the effects of water quality improvement due to the introduction of the AWT process on reduction in the deviation of free chlorine concentration in Osaka City water service area, we compared the free chlorine concentrations in the summer season (water temperature; 27-30°C) that had been measured at nine telemeters in the area supplied by the Niwakubo Purification Plant. The results are shown in Figure 3. This Figure is the histograms of daily average concentrations with graduations of 0.05 mg L-1, which were measured in August of 1998 and 2000. In August 1998, the Niwakubo Purification Plant was still treating water using the MCWT process, while the Plant was operating the AWT process in August 2000. At the Niwakubo Purification Plant, the chlorine concentrations of water released from the plant during those months were controlled to constant values of 1.0 mg L-1 and 0.8 mg L-1, respectively. As is evident from Figures 3, the histogram for the conventional MCWT water exhibited a flat, wide distribution pattern with a low peak value, whereas the histogram for the AWT water showed a narrow distribution pattern with a mode of approximately 0.4 mg L-1. Since both histo120 grams exhibited normal distribution patterns *SD: standard deviation MCWT on the whole, we estimated the free chlorine -1 100 SD = 0.045mg L distributions in the summer season from the AWT 80 standard deviations of the measured values shown in the Figure. As a result, we 60 SD = 0.108mg L-1 determined that, for the MCWT process 40 during the summer season, 95% of the free chlorine concentration in the investigated 20 service area had stayed within the range of 0 0.56±0.22 mg L-1, whereas for the AWT process, the concentration had remained within the range of 0.40±0.09 mg L-1. These results indicate that water quality improveChlorine concentration (mg L-1) ment by the introduction of the AWT process is helpful in lowering and leveling residual Figure 3 Comparison of the histograms of free free chlorine concentrations in Osaka City chlorine concentrations between the conventional MCWT water and the AWT water water service area. * frequency AWT 0.80~0.85 0.75~0.80 0.70~0.75 0.65~0.70 0.60~0.65 0.55~0.60 0.50~0.55 0.45~0.50 0.40~0.45 0.35~0.40 0.30~0.35 0.25~0.30 MCWT Changes of the overall free chlorine reduction rate in the water distribution system after the introduction of AWT To investigate changes in the reduction rate in free chlorine concentrations after the introduction of AWT, the data obtained from the telemeters in the water distribution system shown in Figure 2 was analyzed using a first-order rate equation. The overall reduction rate coefficient of free chlorine concentration, kall (hr-1) was estimated everyday from the free chlorine concentration measured at the outflow of Niwakubo Water Purification Plant, the outflow of Tatsumi Water Distribution Plant (Telemeter ①) and the taps (Telemeter ② and ③), C (mg L-1) and the residence time from the water purification plant to each point, t (hr). The relationship between kall and water temperature T (°C) in the MCWT and AWT is shown in Figures 4a and 4b, respectively. Free chlorine concentrations at the water releasing point of the purification plant in the MCWT and AWT, C0 were 0.8-1.2 and 0.7-0.8 mg L-1, respectively, and t was recalculated separately each day using the ratio of water supply quantity. 0.06 0.06 [a]MCWT (conventional) 0.04 0.03 0.02 0.01 ○ kall: distribution process(FY1998) 0.00 Bulk rate coefficient kb(hr ) -1 0.05 -1 Overall rate coefficient kall(hr ) -1 Overall rate coefficient kall(hr ) ● kall: distribution process(FY1999) bulk water(test-tube study) □ kb : 0.05 0.04 y = 0.0097exp(0.0388x) [b]AWT 0.03 0.02 0.01 y = 0.0017exp(0.0742x) 0.00 0 5 10 15 20 25 Water temprature T(℃) 30 35 0 5 10 15 20 25 30 35 Water temperature T(℃) Figure 4 Relationship between the overall reduction rate coefficients of chlorine concentration and water temperature in Osaka City (a: MCWT, b: AWT) Consequently, kall was estimated to be 0.015-0.059(hr-1) in the MCWT and 0.008-0.032(hr-1) after introducing the AWT, and it was confirmed that kall in the AWT was reduced to almost half of that in the MCWT. Based on the results of exponential regression obtained from plotting representative kall values in Figure 4b, kall after the introduction of AWT is represented by the following equation: kall = 0.0097 exp (0.0388 T ) (2) Figure 4b also shows an observed reduction rate coefficient kb (hr-1), which was estimated from analysis of the reduction in free chlorine concentrations in test tubes filled with the AWT water using a first-order rate equation. The reduction rate due to free chlorine consumption in bulk phase rb is represented by the following equation: rb = − dC dt = k b C (3) kall was always greater than kb and the difference between kall and kb was probably derived from the reduction of free chlorine due to contact with the inner surfaces of water supply pipes and structures [3] and volatilization from the surface of reservoir water. Factors that influence chlorine reduction and reaction kinetics analysis (a) Chlorine consumption in bulk phase kb (hr-1) of chlorine-solution-added purified water, water in the MCWT, water immediately after the introduction of AWT and water in the AWT after a lapse of two years and five months from the kb = 0.0017 exp (0.0742 T ) (4) (b)Reduction in chlorine concentration caused by volatilization from a water surface The reduction in free chlorine concentration was determined in chlorine-solution-added purified water in a beaker. Consequently, it was found that the results plotting the concentration C to time t fitted a linear regression quite well (Figure 6). On the other hand, no reduction was observed in the water in test tubes. When the reduction in free chlorine concentration is approximated by linear regression, the rate of free chlorine concentration caused by volatilization rv is represented by the following zero-order rate equation: rv dC = − dt = kv C0=0.90~0.98mg L-1 at 20℃ 0.014 -1 Bulk rate coeffcient kb(hr ) 0.016 0.012 0.010 0.008 0.006 × Purified water + Chlorine △ MCWT water ● AWT water(immediately) ◆ AWT water 0.004 0.002 (after 2 years and 5 months) 0.000 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 DOC (mg L-1) Figure 5 Relationship between bulk reduction rate coefficient and DOC concentration 3.5 Chlorine concentration (mg L-1) AWT introduction was estimated and the results plotting these values against the concentration of dissolved organic carbon (DOC) in each water sample are shown in Figure 5. kb of water after the AWT introduction was always smaller than that of water in the MCWT, suggesting that the variance in kb between samples depended on the difference in DOC. The dissolved organic matter immediately after the start of AWT operation was low because of the high adsorption performance of new GAC. The DOC concentration reached nearly constant level after the AWT worked for approximately one year. The relationship between kb and water temperature after reaching the constant level is shown in Figure 4b and based on the results of exponential regression, kb of the AWT water is represented by the following equation: 3.0 2.5 test tube(dashed line) beaker (solid line) 2.0 1.5 1.0 0.5 *at 30℃ (5) 0.0 0 5 10 15 20 25 30 where, kv is an observed reduction rate coefficient of free Time (hr) chlorine reduction caused by volatilization. In addition, ΔCv -1 -1 (mg L hr ) is defined as the slope of the regression line Figure 6 Reduction in chlorine obtained when plotting the difference between the initial concentration by volatilization concentration C0 and a concentration t hours after, Ct (= C0 – from water surface Ct) against t, and the surface area of a one liter water sample in a beaker is estimated to be 0.012266 (m2). Under these conditions, the mass of chlorine volatilizing from 1 m2 water surface per hour, w (mg m-2 hr-1), is estimated by the following equation: ΔCv ( mg L-1 hr -1 ) × 1 (L) w = 0.012266 ( m 2 ) (6) When a water reservoir or tank is box- or cylindrical-shaped, the storage volume V (m3) can be calculated as a product of the surface area of the water and the water depth, i.e., S (m2) × D (m). Therefore, kv (mg L-1 hr-1) is represented by the following equation: -2 kv -1 2 -3 w ( mg m hr ) × S ( m ) w × S w × 10 = = = 3 S × D × 1000 D (m) V ( m ) × 1000 (7) As shown above, kv is proportional to w but inversely proportional to the water depth D. A similar experiment at a different water temperature T (°C) was conducted and ΔCv obtained was plotted against T, and w was estimated by Equation (6). Consequently, it was confirmed that w exponentially increased as water temperature T rose. Based on the results of the regression, kv (mg L-1 hr-1) is represented by the following equation: kv = 0.0004 exp (0.0850 T ) D (8) To be specific, residual free chlorine is likely to disappear more when the water depth is shallower and water temperature is higher under the same storage time. Development of simulation models Based on the analysis results of telemeter measurements and laboratory experiment results, models for simulating residual free chlorine concentrations in Osaka City water supply area were developed and the prediction accuracy was assessed. (1) Overall Model This model is applied to the water distribution processes in Osaka City excluding reservoir water in the secondary distribution plant. Ct = C0 exp (- k all t ) (9) where, C0 (mg L-1) is the initial free chlorine concentration and Ct (mg L-1) is the free chlorine concentration after t (hr). kall (hr-1) is calculated from the water temperature using Equation (2). (2) Reservoir Model Under the assumption that free chlorine concentration in water stored in a reservoir is reduced by bulk free chlorine consumption and volatilization from the water surface, the reduction rate of free chlorine concentration in stored water, rr is represented by the following equation based on Equations (3) and (5): rr = − ⎛ k ⎞ dC = rb + rv = kbC + kv = kb ⎜ C + v ⎟ ⎜ dt k b ⎟⎠ ⎝ (10) Next, the free chlorine concentration when water flows into the reservoir (t=0) is defined as Cin (mg L-1) and that when water flows out the reservoir after t hours storage is Cout (mg L-1). Subsequently, Equation (10) is integrated and ordered as follows: ⎛ Cout = ⎜⎜ Cin + ⎝ kv ⎞⎟ k exp ( - kbt ) − v ⎟ kb ⎠ kb (11) Therefore, Equation (11) is established as a model that can be applied to the reduction in free chlorine concentration in stored water. kb (hr-1) and (mg L-1 hr-1) are calculated from the water temperature and the depth of stored water using Equations (4) and (8). (3) Validation of model prediction accuracy The application method of the Overall Model (Equation 9) and the Reservoir Model (Equation 11) in this study is shown in Figure 7. The differences between the predicted and telemetermeasured concentrations at 19 points, where telemeters were installed at the taps, δ (mg L-1), was calculated everyday throughout the year The distribution of the difference is shown in Figure 8. In addition, the accuracy of the predicted TM(tap) TM(tap) concentrations at the outflows of two TM(outflow) secondary water distribution plants was W.P.P 1st W.D.P 2nd W.D.P similarly assessed using δ values and the Reservoir Overall Overall Model results are shown simultaneously. Based on Model Model W.P.P: Water Purification Plant these results, it was confirmed that the W.D.P: Water Distribution Plant TM: telemeter difference δ ranged within ±0.1 mg L-1. Consequently, the models were considered Figure 7 Application method of simulation models to sufficiently represent the changes in the *δ = measured-predicted Overall Model Overall Model + Reservoir Model(Case1) Overall Model + Reservoir Model(Case2) Verification period: Jan.1 ~ Dec.31,2005 -0.24~-0.22 -0.22~-0.20 -0.20~-0.18 -0.18~-0.16 -0.16~-0.14 -0.14~-0.12 -0.12~-0.10 -0.10~-0.08 -0.08~-0.06 -0.06~-0.04 -0.04~-0.02 -0.02~-0.00 0.00~+0.02 +0.02~+0.04 +0.04~+0.06 +0.06~+0.08 +0.08~+0.10 +0.10~+0.12 +0.12~+0.14 +0.14~+0.16 +0.16~+0.18 +0.18~+0.20 +0.20~+0.22 +0.22~+0.24 relative frequency 0.26 0.24 0.22 0.20 0.18 0.16 0.14 0.12 0.10 0.08 0.06 0.04 0.02 0.00 δ (mg L-1) Figure 8 Prediction accuracy of simulation models control value of chlorine concentration at the outflow in W.P.P. additional chlorine injection rate at the secondary W.D.P. [A] additional chlorine injection rate at the secondary W.D.P. [B] W.P.P.: water purification plant W.D.P.: water distribution plant 40 35 30 Water Temperature 25 20 0.4 Water temperature (℃) Predicted value (mg L-1) reduction rate associated with changes in water temperature. The annual changes in water temperature ranged from 6 to 30°C, the maximum residence time from the water purification plant to the telemeter was 33 hours, and the storage time and water level in each secondary distribution plant was 6 hours and 2.3 m in Case 1 and 15 hours and 2.4 m in Case 2, respectively. Creation of the annual program for setting chlorine control values in Osaka City using the simulation models To optimize the residual free chlorine concentrations throughout Osaka City, we created the annual program for setting control values of the chlorine concentration at the outflows in water purification plants and the additional chlorine injection rates at the secondary water distribution plants using the above simulation models. One example created is shown in Figure 9. 0.9 The water temperature used for the 0.8 creation of the program was the daily 0.7 average value measured by all telemeters in city's service area for the past five 0.6 years. 0.5 Jul y Au gus t Se pte mb er Oc tob er No vem ber De cem ber y Jun e Ma Ap ril Jan uar y Fe bru ary Ma rch CONCLUSIONS 15 0.3 In Osaka City, the introduction of AWT 10 0.2 has allowed the city to lower and level 5 0.1 residual free chlorine concentrations in 0.0 0 water supply areas compared with conventional treatment. The reason is that elimination of dissolved organic matter is improved through the AWT and bulk free Figure 9 Annual chlorine control program created chlorine consumption in the water using the simulation models for Osaka City distribution system is reduced. The behavior of residual free chlorine concentration is analyzed. The change of residual chlorine in the water supply network is well defined and can be experienced as a first-order reaction. The observed reduction rate coefficient is affected by temperature. Thus, water authorities must change the chlorine control values properly depending on the progress of the season. OCWB has now set the annual program for setting control values at each chlorine injection point using the developed simulation models and controls residual free chlorine in an effective manner. REFERENCES [1]Elton A., Brammer L.F. and Tansley N.S. (1995). Water Quality Modeling in Distribution Networks, Journal AWWA, Vol.87, No.7, pp.44-52. [2]Powell J.C., West J.R., Hallam N.B., Forster C.F. and Simms J. (2000). Performance of Various Kinetic Models for Chlorine Decay, Journal of Water Resources Planning and Management, Vol.126, No.1, pp.13-20. [3]Vasconcelos J.J., Boulos P.F., Grayman W.M., Kiene L., Wable O., Biswas P., Bhari A., Rossman L.A., Clark R.M. and Goodrich J.A.(1996). Characterization and Modeling of Chlorine Decay in Distribution Systems, AwwaRF, Denver, CO.
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