Introduction

Wastewater treatment plants (WWTPs) are complex systems which include a large number of biological, physicochemical, and biochemical processes (Sotomayor et al. 2001). The activated sludge process is the most widely applied biological treatment of liquid waste, treating both municipal sewage and a variety of industrial wastewaters (Aguilar-López et al. 2013; Sotomayor et al. 2001; Slater 2006). Actually, activated sludge systems are a type of suspended growth biological wastewater treatment in which the degradation and removal of contaminants within the wastewater is performed by microorganisms [bacterial biomass suspension (the activated sludge)] (Evans 2012). Depending on the design and the specific application, an activated sludge wastewater treatment plant can achieve biological nitrogen removal and biological phosphorus removal, plus the removal of organic carbon substances (Aguilar-López et al. 2013; Slater 2006; Evans 2012; Jeppsson 1996; Chachuat et al. 2005; Banadda et al. 2011; Gernaey et al. 2004; Nelson and Sidhu 2009; Bakiri et al. 2012). Many researchers have modeled and simulated the activated sludge process (Evans 2012; Jeppsson 1996; Chachuat et al. 2005; Banadda et al. 2011; Gernaey et al. 2004; Nelson and Sidhu 2009; Bakiri et al. 2012; Abdel Kader 2009). A review on the historical evolution of the activated sludge process can be found in the work of Jeppsson (1996).

A number of modifications to the design and operational conditions of the conventional activated sludge process have been developed for the specific purposes of domestic and industrial wastewater treatment. The conventional activated sludge (CAS) process is designed with a plug flow reactor and continuous influent wastewater. A large number of variations of the conventional activated sludge process have been designed to improve system performance by modifying the reactor layout, aeration system, influent pattern, and operational conditions. Some of the more widely used modified activated sludge processes include completely mixed activated sludge, step-feed activated sludge, extended aeration activated sludge (EAAS), sequencing batch reactor (SBR), oxidation ditch, membrane bioreactor (MBR) processes, etc. (Evans 2012).

Sotomayor et al. (2001) developed a simulation benchmark which represented a continuous flow activated sludge process, in a configuration with pre-denitrification, including the processes of organic matter removal, nitrification and denitrification of domestic effluents, for the unbiased performance evaluation of advanced control methods in wastewater treatment plants. Benedetti et al. (2006a, b) illustrated the results of a systematic methodology to evaluate system design/upgrade options which allow the choice of the most appropriate trade-off between cost of measures and effluent quality, and to assess the reliability of a process layout. It is, therefore, a flexible instrument to cope with the flexibility and complexity of integrated water management regulations. Lee et al. (2006) reviewed the modeling and control of biological nutrient removal (BNR)-activated sludge processes for wastewater treatment using distributed parameter models described by partial differential equations (PDE). Dynamic optimization is a powerful tool for assisting engineers in determining optimal operations and designs for activated sludge processes. Hreiz et al. (2015) reviewed the literature devoted to optimal control and design of activated sludge processes. Karpinska and Bridgeman (2016) reviewed computational fluid dynamics (CFD)-aided modeling of activated sludge systems in which the rationale behind the use of CFD to model aeration, facilitating enhancement of treatment efficiency and reduction of energy input were discussed.

In the field of wastewater treatment, there is an increasing requirement to improve effluent quality for the benefit of receiving surface waters. Additionally, it is required to minimize energy consumption and reduce the use of chemicals in the treatment process (Meijer 2004). Besides, economical simulation and cost estimation of activated sludge processes are crucial for designing of wastewater treatment plant. Actually, cost estimation provides a powerful tool for design, construction and forecast of future economical requirements. In this study, three configurations for a wastewater treatment plant in Tehran city were proposed and the total project construction, total operation labor, total maintenance labor, total material, total chemical, total energy and total amortization costs of these configurations (plants) were calculated and compared.

Materials and methods

Influent wastewater

The investigated municipal wastewater treatment plant in this study is located in Tehran, Iran. The information of this plant was obtained from Mohagheghian et al.’s (2014) work. The biological treatment of this plant is extended aeration activated sludge. It serves 42,000 people. The characteristics of influent wastewater are given in Table 1. In this table, the sludge retention time (SRT), mean influent flow, mean influent COD, mean influent BOD, mean influent SS and average summer temperature of this plant are shown which were obtained from Mohagheghian et al. (2014). In addition, values of minimum influent flow, maximum influent flow, %volatile solids, soluble COD, soluble BOD, total Kjeldahl nitrogen (TKN), soluble TKN, ammonia, total phosphorus, pH, cations, anions, settleable solids, oil and grease, non-degradable fraction of VSS and average winter temperature were assumed by the author for cost estimation.

Table 1 The characteristics of influent wastewater

Description of WWTP containing EAAS process

Extended aeration activated sludge is a low-rate activated sludge process operating at low organic loading rates and F/M ratios with long hydraulic retention times and sludge ages. As a result, there is little food in the system to support the microorganisms present. Competition is active and high-quality outflows are produced. It is usually used without primary settlement and nitrification is normally achieved. Extended aeration plants are often used as package plants for small communities (EPA 1997).

Layout of wastewater treatment plant containing EAAS process is shown in Fig. 1. This plant consists of influent pump station, preliminary treatment (screening, grit removal), equalization, extended aeration activated sludge, secondary clarifier, chlorination, aerobic digestion, belt-filter press, and hauling and land filing. This plant requires equalization tank to regulate the flow. Influent pump station consists of three constant speed pumps with static head 12.192 m. Cleaning method in screening is mechanical and average velocity is 0.762 m/s. Width, space, slope and shape factor of bars are 0.63 cm, 3.8 cm, 30° and 2.42, respectively. Type of grit removal is horizontal with surface velocity and tank floor velocity of 0.45 and 0.3 m/s, respectively. Particle size, specific gravity, number of units, depth, manning coefficient, volume of grit, detention time and air supply per unit length of tank in grit removal are 0.02 cm, 2.65, 2, 1.2 m, 0.035, 3 × 10−5 m3 grit/m3, 2.5 min and 0.28 N m3/min/m, respectively. Oxygen requirements, pressure correction coefficient, dissolved oxygen, basin type, depth of basin, minimum water level in equalization, alpha factor for oxygen transfer in wastewater, beta factor for oxygen saturation in wastewater, minimum hp requirement for mixing and standard oxygen transfer efficiency in mechanical aeration of equalization are 15 mg/(L\h), 1, 2 mg/L, concrete basin, 1.82 m, 1.52 m, 0.9, 0.95, 11.81 W/m3 and 3.04 kg O2/kWh, respectively. The characteristics of EAAS process are given in Table 2. Type of secondary clarifier is circular and surface overflow rate, side water depth, specific gravity, underflow concentration, weir overflow rate—maximum and effluent suspended solids are 20.37 m3/(m2 day), 2.74 m, 1.03, 1 %, 186.3 m3/(m day) and 10 mg/L, respectively. Contact time at peak flow, chlorine dose and influent coliform count in chlorination are 30 min, 10 mg/L and 107/100 mL, respectively. Detention time, volatile solids destroyed, mixed liquor solids, digested sludge concentration and temperature in aerobic digestion are 18 days, 40 %, 12,000 mg/L, 2.5 % and 23 °C, respectively. Aeration type in aerobic digestion is diffusion aeration and alpha factor for oxygen transfer in wastewater, beta factor for oxygen saturation in wastewater, coarse bubble minimum air flow and standard oxygen transfer efficiency are 0.7, 0.95, 0.33 L/s/m3 and 6 %, respectively. Suspended solids, BOD, COD, TKN and ammonia in supernatant of aerobic digestion are 3400 mg/L, 500 mg/L, 2600 mg/L, 17 mg N/L and 0 mg/L, respectively. Cake solids content, density of cake, operating schedule per day, days operating per week, hydraulic loading per meter of belt press width, polymer dose and filtrate solid concentration in belt-filter press are 19 %, 1201.4 kg/m3, 8 h/day, 5 days/week, 381.6 m3/day, 1 % dry wt and 100 mg/L, respectively. Disposal cost is based on annual charge of land fill and distance to disposal site, daily operation, loading time per vehicle, and hauling time per trip in hauling and land filling are 16 km, 8 h, 0.75 h and 1 h, respectively.

Fig. 1
figure 1

Layout of wastewater treatment plant containing EAAS process

Table 2 The characteristics of EAAS process

It is also assumed that the aerobic digestion (case 1) in this WWTP can be theoretically replaced by anaerobic digestion (case 2) or gravity thickening (case 3) or sludge flotation thickening (case 4). The economical details of these suggestions are compared. In anaerobic digestion, specific gravity, percent volatile solids destroyed, concentration in digester, minimum detention time in primary digester, raw wastewater temperature, digester temperature and location of digester are 1.05, 50 %, 5 %, 20 days, 20 °C, 40 °C and moderate-winter ~0 °C, respectively, and fraction of influent flow returned as supernatant, suspended solids, BOD, COD, TKN, ammonia in supernatant are 2 %, 6250 mg/L, 1000 mg/L, 2150 mg/L, 950 mg N/L and 650 mg/L, respectively. Underflow concentration, depth and mass loading in gravity thickening are 5 %, 2.74 m and 48.82 kg/(m2 day), respectively. Air pressure, detention time in float tank, solids loading, hydraulic loading, recycle time in pressure tank, removal of solids, air/solids ratio, float concentration, and polymer required are 413.66 kPa, 3 h, 48.82 kg/(m2 day), 146.69 m3/(m2 day), 2 min, 0.02, 4 % and 0.5 g/kg, respectively.

Description of WWTP containing CAS process

The conventional (plug flow) activated sludge process uses an aeration tank, a settling tank (clarifier), and a sludge return line to treat wastewater. Wastewater and return sludge from the secondary clarifier enter the head of the aeration tank to undergo a specific period of aeration. The main characteristic of a plug flow configuration is a high ratio of organic loading (i.e., F/M) to the mixed liquor at the beginning of the tank. There is little longitudinal mixing in a plug flow tank except for that which is caused by diffused aeration; therefore, as the liquor flows through its length, substrate is used up and the mass of microorganisms increases due to cell reproduction. If the F/M is sufficiently low in the latter stages of the tank, much of the oxygen is consumed by nitrification and endogenous respiration. The lack of longitudinal mixing reduces the ability to handle shock loads; there is little dilution of the inflow so microorganisms may be affected by toxic material. Plug flow has the advantage of discouraging the excessive growth of filamentous organisms which can cause settlement problems in the secondary settlement tank (EPA 1997).

Layout of wastewater treatment plant containing CAS process is shown in Fig. 2. The proposed plant consists of influent pump station, preliminary treatment (screening, grit removal), primary clarification, conventional (plug flow) activated sludge, secondary clarifier, chlorination, sludge flotation thickening, anaerobic digestion, belt-filter press, and hauling and land filing. The characteristics and operational conditions of influent pump station, preliminary treatment (screening, grit removal), secondary clarifier, chlorination, sludge flotation thickening, anaerobic digestion, belt-filter press, and hauling and land filing are the same as that of WWTP containing EAAS process. Type of primary clarifier is circular and surface overflow rate, side water depth, specific gravity, underflow concentration, weir overflow rate, removal of suspended solids, removal of BOD, removal of COD, removal of TKN, and removal of phosphorus are 40.74 m3/(m2 day), 2.74 m, 1.05, 4 %, 186.3 m3/(m day), 58, 32, 40, 5, and 5 %, respectively. Process design of CAS is for removal of carbon plus nitrification. The characteristics of CAS process are given in Table 3.

Fig. 2
figure 2

Layout of wastewater treatment plant containing CAS process

Table 3 The characteristics of CAS process

Description of WWTP containing SBR process

The SBR is a fill-and-draw activated sludge system for wastewater treatment. In this system, wastewater is added to a single batch reactor, treated to remove undesirable components, and then discharged. Equalization, aeration, and clarification can all be achieved using a single batch reactor. To optimize the performance of the system, two or more batch reactors are used in a predetermined sequence of operations. SBR systems can be used to treat both municipal and industrial wastewater. The operation of an SBR is based on a fill-and-draw principle, which consists of five steps: fill, react, settle, draw, and idle. These steps can be altered for different operational applications. SBRs are typically used at flow rates of 219 L/s (5 MGD) or less. The more sophisticated operation required at larger SBR plants tends to discourage the use of these plants for large flow rates. The SBR technology is particularly attractive for treating smaller wastewater flows. The majority of plants were designed at wastewater flow rates of less than 22 L/s (0.5 MGD). The cost-effectiveness of SBRs may limit their utilization to flows less than 440 L/s (10 MGD) (EPA 1997; Metcalf and Eddy 1991; USEPA 1999; Gurtekin 2014).

Layout of wastewater treatment plant containing SBR process is shown in Fig. 3. The proposed plant consists of influent pump station, preliminary treatment (screening, grit removal), sequencing batch reactor, equalization, filtration, chlorination, sludge flotation thickening, anaerobic digestion, belt-filter press, and hauling and land filing. According to USEPA (2000), an equalization tank is usually required prior to the chlorination unit in batch SBRs to store large volumes of water. When the flow is not equalized, a sizable filter may be necessary to accommodate the large flow of water entering the chlorination system. In addition, SBR systems usually have no primary or secondary clarifiers as settling occurs in the SBR (USEPA 2000). The characteristics and operational conditions of influent pump station, preliminary treatment (screening, grit removal), equalization, chlorination, sludge flotation thickening, anaerobic digestion, belt-filter press, and hauling and land filing are the same as that of WWTPs containing EAAS and CAS processes. Process design of SBR is for removal of carbon plus nitrification. The characteristics of SBR process are given in Table 4. In filtration, loading rate, approach velocity, 60 % finer size, specific weight of sand, porosity of bed, expanded depth, number of trough, width of trough, underdrain depth, head loss in underdrain, operating depth of water above sand, height of trough from underdrain, backwash time, freeboard, and number of layers are 352.05 m3/(m2 day), 0.15 cm/s, 0.75 mm, 2649.5 kg/m3, 0.4, 1.52 m, 50, 0.304 m, 0.304 m, 0.304 m, 0.91 m, 1.98 m, 10 min, 0.304 m, and 4, respectively. The details of four layers in filtration are given in Table 5.

Fig. 3
figure 3

Layout of wastewater treatment plant containing SBR process

Table 4 The characteristics of SBR process
Table 5 Details of four layers in filtration

Method

Using simulation, the planning level design and costing productivity improves dramatically leading to better engineering decisions. Cost estimation to build, operate and maintain the WWTPs was done using CapdetWorks 2.5 with equipment costing database Sept. 2007 (USA, Avg). CapdetWorks calculates all the costs—capital, operating and maintenance for each treatment alternative.

Results and discussion

Economical comparison of cases in WWTP containing EAAS process

The total project construction cost ($) and the total operation, maintenance, material, chemical, energy, and amortization costs ($/year) of case 1, case 2, case 3, and case 4 are shown in Figs. 4 and 5, respectively. Figure 4 illustrates that project construction cost of case 3 < case 4 < case 1 < case 2. The project construction cost of case 2 is 65.9 % higher than that of case 1 and this value for case 1 is 8.33 % higher than that of case 3. Figure 5 illustrates that operation cost of case 3 < case 2 < case 4 < case 1, maintenance cost of case 3 < case 4 < case 2 < case 1, material cost of case 3 < case 4 < case 1 < case 2, chemical cost of case 1 < case 3 < case 4 < case 2, energy cost of case 3 < case 4 < case 2 < case 1 and amortization cost of case 3 < case 4 < case 1 < case 2. These results depict that if WWTP requires digestion, use of aerobic digestion will be cost effective and if it does not require digestion and needs thickening, use of gravity thickening will be cost effective.

Fig. 4
figure 4

The total project construction cost ($) of case 1, case 2, case 3, and case 4

Fig. 5
figure 5

The total operation, maintenance, material, chemical, energy, and amortization costs ($/year) of case 1, case 2, case 3, and case 4

Economical comparison of WWTPs containing EAAS, CAS, and SBR processes

The total project construction cost ($) and the total operation, maintenance, material, chemical, energy, and amortization costs ($/year) of WWTPs containing EAAS, CAS, and SBR processes are shown in Figs. 6 and 7, respectively. Figure 6 illustrates the project construction cost of WWTP containing CAS < EAAS < SBR. Figure 7 illustrates that operation cost of WWTP containing EAAS < CAS < SBR, maintenance cost of WWTP containing CAS < EAAS < SBR, material cost of WWTP containing CAS < EAAS < SBR, chemical cost of WWTP containing CAS = SBR < CAS, energy cost of WWTP containing CAS < SBR < EAAS and amortization cost of WWTP containing CAS < EAAS < SBR. These results depict that the WWTP containing CAS process is cost effective.

Fig. 6
figure 6

The total project construction cost ($) of WWTPs containing EAAS, CAS, and SBR processes

Fig. 7
figure 7

The total operation, maintenance, material, chemical, energy, and amortization costs ($/year) of WWTPs containing EAAS, CAS, and SBR processes

Effect of MLSS amount on costs of WWTPs containing EAAS, CAS, and SBR processes

The total project construction cost ($) of WWTPs containing EAAS, CAS, and SBR processes at different MLSSs are shown in Fig. 8 and the total operation, maintenance, material, chemical, energy, and amortization costs ($/year) of WWTPs containing EAAS, CAS, and SBR processes at different MLSSs are given in Table 6. These results demonstrate that increase of MLSS does not affect costs of WWTP containing SBR, but increase of this value decreases the total project construction, material and amortization costs of WWTPs containing EAAS and CAS. In addition, increase of this value increases the total operation, maintenance and energy costs, but does not affect chemical cost of WWTPs containing EAAS and CAS.

Fig. 8
figure 8

The total project construction cost ($) of WWTPs containing EAAS, CAS, and SBR processes at different MLSSs

Table 6 The total operation, maintenance, material, chemical, energy, and amortization costs ($/year) of WWTPs containing EAAS, CAS, and SBR processes at different MLSSs

Conclusions

Three configurations for a wastewater treatment plant in Tehran city were proposed and the total project construction, operation, maintenance, material, chemical, energy and amortization costs of these WWTPs were calculated and compared. Results illustrated that project construction cost of WWTP containing CAS < EAAS < SBR, operation cost of WWTP containing EAAS < CAS < SBR, maintenance cost of WWTP containing CAS < EAAS < SBR, material cost of WWTP containing CAS < EAAS < SBR, chemical cost of WWTP containing CAS = SBR < CAS, energy cost of WWTP containing CAS < SBR < EAAS and amortization cost of WWTP containing CAS < EAAS < SBR. These results depicted that the WWTP containing CAS process is cost effective. Besides, increase of MLSS does not affect costs of WWTP containing SBR, but increase of this value decreases the total project construction, material and amortization costs of WWTPs containing EAAS and CAS. In addition, increase of this value increases the total operation, maintenance and energy costs, but does not affect chemical cost of WWTPs containing EAAS and CAS.