This study aims to determine the effect of greenhouse gas (GHG) emissions on economic performance in terms of energy costs for an industrial wastewater treatment plant. Also, the mitigation of GHG emissions aimed at using process modification to obtain possible reductions in energy costs. Optimum energy consumptions were reported for the minimum GHG emission using the Data Envelopment Analysis (DEA) and Monte Carlo simulation model. In this paper, a new empirical approach has been developed depending on the GHG emissions for estimating the economic performance of the wastewater treatment plants. The results revealed that nitrous oxide (N2O) emissions led to the highest energy costs among direct emissions. In the second stage of the study, the effects of design conditions on GHG emissions and energy costs were investigated. If the aeration tank is operated at 24 h of hydraulic retention time (HRT) and 22 days of solid retention time (SRT), then, on average, 27, 27.9, and 30.7% of reduction in energy costs in terms of direct carbon dioxide (CO2), methane (CH4) and nitrous oxide (N2O) emissions, respectively, is observed in the plant. These reductions corresponded to approximately 17.33 €/kWh of cost-saving in this plant.

  • A new empirical approach based on GHG emissions has been developed.

  • Process modification has been applied to mitigate GHG emissions and economic performance assessment was fulfilled in situ GHG emissions under design and operational conditions.

  • It would be a significant reduction (on average 32.7%) in GHG emissions within the scope of compliance with the EU Green Deal.

Graphical Abstract

Graphical Abstract
Graphical Abstract

The correspondence of water and energy has been defined as water is needed for energy generation and energy is needed for water supply and treatment. Within the scope of the water–energy nexus, wastewater treatment plants (WWTPs) are energy-intensive. In particular, energy consumption is in huge amounts to treat industrial wastewater due to its high organic content. Also, higher energy intensity is necessary to treat wastewater to meet the discharging standards. Furthermore, influent and effluent pumping processes have led to higher energy consumption (Castellet-Viciano et al. 2018). This energy consumption has led to considerable indirect greenhouse gas (GHG) emissions. In the last decades, preventions should have been applied to develop the system performance by mitigating GHG emissions due to the rising attention to sustainable operation of WWTPs. Management of WWTPs has concentrated on reducing operating costs while obtaining effluent discharge limits. Effluent quality and operating costs of the WWTPs are greatly influenced by operating conditions which are hydraulic retention time (HRT) and solid retention time (SRT) for biochemical treatment plants. High energy consumption leads to higher operational costs for the WWTPs. From this perspective, energy consumption and its main effects which are GHG emissions should be taken under control and reduced. GHG emissions and energy costs have corresponded with each other and have a considerable relation. Furthermore, GHG emissions should be regarded as the main component of economic performance assessment due to their environmental impacts (Adebayo et al. 2021; Moretti et al. 2021; Pahunang et al. 2021; Udemba et al. 2021; Voss et al. 2021). This topic has received a lot of attention worldwide, in recent years. GHG emission generator units are of critical importance for determining economic performance. According to the European Union (EU) Green Deal, GHG emissions should be reduced in considerable amounts, and this reduction of GHG emissions would lead to economic wealth in the world (EU 2018). According to the EU Green Deal fit for 55 packages (EU 2021), nearly 40% of reduction should be achieved for the waste sector by 2030. Especially, WWTPs have been considered as the main GHG producer in the waste sector (IPCC 2014). The WWTPs should obtain incentives to enhance and carry out climate-neutral process management to align with the Green Deal objectives. Especially, industrial WWTPs are an essential element of the European Green Deal and circular economy (EU 2018). Industrial WWTPs should provide cost-effective and greener wastewater treatment processes leading to minimum GHG emissions. In this context, an economic performance assessment tool should be developed based on GHG emissions for industrial WWTPs.

The industrial WWTPs could be regarded as one of the GHG emissions sources due to their highly organic wastewater content and high energy consumption (Kumar et al. 2021; Pata & Kumar 2021). GHG emissions could be categorized as direct and indirect emissions (Parravicini et al. 2016). The direct emissions have been released from collection points, treatment process, and discharging points of the WWTPs. The indirect emissions contain energy consumption, chemical use, and the sludge handling process (Parravicini et al. 2016). Several studies confirm that especially indirect emissions from energy consumption have led to higher GHG emissions and operational costs at the WWTPs (Kyung et al. 2015; Qiao et al. 2020). One approach should be developed as an optimization method for operating a complex nonlinear system such as wastewater treatment processes. For WWTPs, optimal operating conditions could be defined using optimization methods coupled with an estimative mathematical model of the WWTPs (Kim et al. 2015). A few numbers of studies have investigated optimization solutions carried out for the analysis or operational design of WWTPs. Several researchers have concentrated on model calibration (Kim et al. 2015; Kyung et al. 2015). In this study, apart from the previous studies optimum energy consumption were reported for the minimum GHG emission using the Data Envelopment Analysis (DEA) and Monte Carlo simulation model. The novelty of this study is that a new empirical approach has been developed based on the GHG emissions for determining the economic performance of the WWTPs. Also, in this work apart from the previous studies the DEA model and Monte Carlo simulation have been simultaneously performed to determine the optimum energy consumption to release the minimum GHG emissions. In previous studies, the DEA model has been used as an estimation tool for environmental performance and energy efficiency (Molinos-Senante et al. 2014; Sala-Garrido & Molinos-Senante 2020). In this paper, new estimation tools of optimum energy consumption for the minimum GHG emissions have been developed using the DEA model and Monte Carlo simulation. Monte Carlo simulation was first applied for the determination of optimum energy consumption for the minimum GHG emissions for WWTPs in the literature. In this paper, these two optimization tools have been benchmarked with each other. Also, this work is unique in that GHG emissions were measured under design parameters for a full-scale industrial WWTP, and economic performance assessment was fulfilled for in situ GHG emissions under design and operational conditions.

This study deals with the investigation of the optimal operation of an industrial WWTP in order to mitigate GHG emissions and operating costs. In this context, DEA and Monte Carlo simulation were simultaneously performed for defining the correspondence between energy consumption and GHG emissions. Optimum energy consumptions were reported for the minimum GHG emission using the DEA and Monte Carlo simulation model. In the second stage of the study, the effect of process modification on GHG emissions and energy costs was investigated. Due to higher energy costs and GHG emissions, researchers have focused on WWTPs design parameters for energy-saving management (Panepinto et al. 2016; He et al. 2019; Qiao et al. 2020). From this point of view, carbon dioxide (CO2), methane (CH4), and nitrous oxide (N2O) emissions were monitored, and an economic performance assessment was applied under design conditions (24 h of HRT and 22 days of SRT) for a dairy industry WWTP. Comparisons of design and operating conditions were also made statistically. On the basis of the economic performance assessment based on GHG emissions, recommendations and strategies have been presented to help optimize the operation of industrial WWTPs in terms of maximum energy saving. Also, GHG emissions which are CO2, CH4, and N2O emissions were categorized according to energy consumption and operating costs. This research presented a new empirical approach based on the GHG emissions for determining the economic performance of the WWTPs. This study mainly aimed to correspond the GHG emissions and energy costs using a numerical approach that could be applied by all WWTP authorities in terms of the EU Green Deal. This study is unique in that an economic performance assessment has been carried out considering GHG emissions for an industrial WWTP in terms of the EU Green Deal. This paper also aimed to determine the effect of process modification on GHG emissions and economic performance in terms of energy costs within the scope of the water–energy nexus.

Process configuration and modification of the plant

The dairy industry is in an organized industrial zone located in Turkey. In this paper, a full-scale WWTP of a dairy plant was selected as the pilot plant, having 600 tons/day of raw cow's milk processing capacity. Dairy wastewater contains mainly cooling water, sanitary wastewater, and process wastewater. Extended aeration activated sludge system has been performed for the removal of organic materials. Blower and air pumps have led to higher electricity consumption in this plant. Sludge pumps have consumed large amounts of energy. Also, denitrification and nitrification processes have been performed for nitrogen removal in the plant. Methanol has been added as a carbon source for the sustainability of the denitrification process. Energy consumption of the treatment units, methanol use, and lime addition for the sludge handling process have comprised indirect GHG emissions in the plant. Direct GHG emissions could originate from the biochemical treatment process. Also, the dissolved air flotation (DAF) tank is operated for oil and grease removal. This process needs air and the air pumping process has led to a huge amount of energy consumption. Also, coagulant has been used for this process. Ferric chloride is used as a chemical, and it leads to indirect emissions in the plant. From this perspective, extended aeration and the DAF process were considered as the main GHG emissions points in this study. Figure 1 presents the industrial wastewater treatment process flow scheme in the plant. Table 1 shows the wastewater characterization.
Table 1

Wastewater characteristics of the dairy industry

ParameterInfluentEffluent
COD (mg/L) 6,227 1,040 
BOD (mg/L) 3,151 203 
TSS (mg/L) 3,151 481 
FOG (mg/L) 339 10 
pH 7.17 6.92 
ParameterInfluentEffluent
COD (mg/L) 6,227 1,040 
BOD (mg/L) 3,151 203 
TSS (mg/L) 3,151 481 
FOG (mg/L) 339 10 
pH 7.17 6.92 
Figure 1

Wastewater treatment process configuration.

Figure 1

Wastewater treatment process configuration.

Close modal

Process modification could be a GHG emission mitigation technique (Rodríguez-Caballero et al. 2014; Sweetapple et al. 2018). Many researchers proposed the operation of WWTPs under design conditions for minimum energy consumption (Castellet-Viciano et al. 2018). This plant has been operated under conditions of 18 h of HRT and 20 days of SRT. The design conditions are 24 h of HRT and 22 days of SRT. From this perspective, the operating conditions have been adjusted to the design conditions. GHG emissions have been measured for both design and operating conditions in the plant.

Estimation of GHG emissions

For the extended aeration process and DAF unit, greenhouse gases were collected in a flux chamber and analyzed with gas chromatography for CO2, CH4, and N2O emissions for determining the direct GHG emissions. Equation (1) shows the calculation of direct GHG emissions. In Equation (1), global warming potentials of CO2, CH4, and N2O are 1, 28, 265, respectively (IPCC 2014).
(1)
where GHGdirect is the direct GHG emission (kg CO2e/day) (GHGCO2, GHGCH4, GHGN2O); CGHG is the CO2, CH4, or N2O concentration (mg/Ld); GWPCH4, CO2, NO2 is the global warming potential of CO2 or CH4 or N2O.
Table 2 shows the data set for the estimation of indirect GHG emissions. Equations (2)–(4) show the calculation of indirect emissions.
(2)
Table 2

Data set for indirect GHG emissions

ProcessMonthsEC (kWh)ECblower&airpumps (kWh)ECsludgepumps (kWh)EFelectricity (kgCO2/kWh.day)Lmethanol (kg/day)EFmethanol (kgCO2/kg methanol)Lferric-chloride (kg/day)EFferric-chloride (kgCO2/kg ferric-chloride)Lsludge (kg/day)EFlime (kgCO2/kglime)
Aeration Tank June 12,075 9,465 2,610 0.47 65 1.54 –  6,808 0.43971 
July 12,318 9,618 2,700 0.47 66 1.54 – – 6,900 0.43971 
August 12,700 9,900 2,800 0.47 67 1.54 – – 6,950 0.43971 
September 12,021 9,521 2,500 0.47 64 1.54 – – 6,800 0.43971 
October 12,009 9,559 2,450 0.47 60 1.54 – – 6,750 0.43971 
November 11,850 9,550 2,300 0.47 58 1.54 – – 6,701 0.43971 
December 11,300 9,500 1,800 0.47 57 1.54 – – 6,600 0.43971 
January 10,850 9,100 1,750 0.47 55 1.54 – – 6,500 0.43971 
February 9,500 8,000 1,500 0.47 56 1.54 – – 6,550 0.43971 
March 10,100 8,290 1,810 0.47 62 1.54 – – 6,655 0.43971 
April 11,010 8,710 2,300 0.47 63.5 1.54 – – 6,700 0.43971 
May 12,000 9,520 2,480 0.47 64.5 1.54 – – 6,790 0.43971 
DAF Process June 8,620 7,510 1,110 0.47 – – 10 2.71 3,500 0.43971 
July 8,650 7,525 1,125 0.47 – – 12 2.71 3,550 0.43971 
August 8,750 7,550 1,200 0.47 – – 15 2.71 3,600 0.43971 
September 8,450 7,395 1,055 0.47 – – 13 2.71 3,480 0.43971 
October 8,400 7,375 1,025 0.47 – – 11 2.71 3,450 0.43971 
November 8,350 7,350 1,000 0.47 – – 10.5 2.71 3,425 0.43971 
December 8,200 7,213 987 0.47 – – 9.75 2.71 3,200 0.43971 
January 7,500 6,645 855 0.47 – – 2.71 2,900 0.43971 
February 7,700 6,800 900 0.47 – – 9.5 2.71 3,100 0.43971 
March 8,300 7,350 950 0.47 – – 10.2 2.71 3,250 0.43971 
April 8,453 7,463 990 0.47 – – 11 2.71 3,300 0.43971 
May 8,550 7,506 1,044 0.47 – – 11.5 2.71 3,470 0.43971 
ProcessMonthsEC (kWh)ECblower&airpumps (kWh)ECsludgepumps (kWh)EFelectricity (kgCO2/kWh.day)Lmethanol (kg/day)EFmethanol (kgCO2/kg methanol)Lferric-chloride (kg/day)EFferric-chloride (kgCO2/kg ferric-chloride)Lsludge (kg/day)EFlime (kgCO2/kglime)
Aeration Tank June 12,075 9,465 2,610 0.47 65 1.54 –  6,808 0.43971 
July 12,318 9,618 2,700 0.47 66 1.54 – – 6,900 0.43971 
August 12,700 9,900 2,800 0.47 67 1.54 – – 6,950 0.43971 
September 12,021 9,521 2,500 0.47 64 1.54 – – 6,800 0.43971 
October 12,009 9,559 2,450 0.47 60 1.54 – – 6,750 0.43971 
November 11,850 9,550 2,300 0.47 58 1.54 – – 6,701 0.43971 
December 11,300 9,500 1,800 0.47 57 1.54 – – 6,600 0.43971 
January 10,850 9,100 1,750 0.47 55 1.54 – – 6,500 0.43971 
February 9,500 8,000 1,500 0.47 56 1.54 – – 6,550 0.43971 
March 10,100 8,290 1,810 0.47 62 1.54 – – 6,655 0.43971 
April 11,010 8,710 2,300 0.47 63.5 1.54 – – 6,700 0.43971 
May 12,000 9,520 2,480 0.47 64.5 1.54 – – 6,790 0.43971 
DAF Process June 8,620 7,510 1,110 0.47 – – 10 2.71 3,500 0.43971 
July 8,650 7,525 1,125 0.47 – – 12 2.71 3,550 0.43971 
August 8,750 7,550 1,200 0.47 – – 15 2.71 3,600 0.43971 
September 8,450 7,395 1,055 0.47 – – 13 2.71 3,480 0.43971 
October 8,400 7,375 1,025 0.47 – – 11 2.71 3,450 0.43971 
November 8,350 7,350 1,000 0.47 – – 10.5 2.71 3,425 0.43971 
December 8,200 7,213 987 0.47 – – 9.75 2.71 3,200 0.43971 
January 7,500 6,645 855 0.47 – – 2.71 2,900 0.43971 
February 7,700 6,800 900 0.47 – – 9.5 2.71 3,100 0.43971 
March 8,300 7,350 950 0.47 – – 10.2 2.71 3,250 0.43971 
April 8,453 7,463 990 0.47 – – 11 2.71 3,300 0.43971 
May 8,550 7,506 1,044 0.47 – – 11.5 2.71 3,470 0.43971 

In Equation (2), electricity consumption (EC) of the plant includes the energy demand of the blower and air pumps (ECblower&airpumps) and the energy consumption of sludge pumps (ECsludgepumps) for the aeration and DAF process. EFelectricity means to the emission factor (IEA 2016). The calculation tool is dependent on the IPCC method (IPCC 2014; Kyung et al. 2015). Indirect emission due to chemical use could be figured out using chemical consumption and emission factor of each chemical substance. Methanol is used as an added carbon source for the denitrification process to ensure nitrogen removal has led to the direct GHG emission in the aeration tank. It could be figured out with the help of multiplying daily methanol consumption (Lmethanol) (kg/day) and the emission factor of methanol (EFmethanol) (Kyung et al. 2015). Also, ferric chloride is used as a coagulant in the DAF tank. The indirect GHG emissions of the chemical use could be calculated as follows (Equation (3)) (Kyung et al. 2015).

(3)

The other component of indirect GHG emissions is the sludge handling process. Lime is used for the stabilization of chemical sludge (DAF sludge) and waste activated sludge. It could be calculated by means of multiplying sludge load (Lsludge) (kg/day) and the emission factor of lime (EFlime) (IPCC 2014). The calculation model was given for GHG emissions from sludge stabilization in Equation (4). Total indirect emissions are the sum of these three components.

(4)

Economic performance index assessment

Previous studies have confirmed that the water–energy nexus ensures cross-cutting opportunities to mitigate energy and water demand (Molinos-Senante & Guzman 2018). Furthermore, synergistic approaches are important for wastewater treatment authorities to realize the correspondence between water and energy. An economic performance index (EPI) is one of these synergistic approaches which contains available water pollution, water treatment capacity, and water amount. The EPI was figured out using a verified numerical methodology as the result of sensitivity analysis. This model was adapted from the method by Castellet-Viciano et al. (2018) and Hernandez-Sancho et al. (2011). This developed model is based on empirical analyses in this study. The basic model was given in Equation (5) (Hernandez-Sancho et al. 2011).
(5)
where EC is the energy cost of the treatment plant; W is the mass of wastewater/year; xf indicate kinds of factors; P, s, and α are coefficients of the sensitivity analysis.
In the derived model, the performance indicator (X) is the variable that defines the correlation of design and operational wastewater treated amount (Equation (6)). Operational flow (Q) (m3/day) and the design flow of the plant (q) (m3/day) comprise the performance index (X). Equation (2) presents estimation of the performance indicator (X) (Castellet-Viciano et al. 2018).
(6)
In this paper, coefficients were decided using the Box–Benken method. Q (operational flow rate) (x1), CO2 (x2), CH4 (x3), and N2O (x4) emissions are the major independent variables for direct GHG emissions. Variable concentrations are analyzed during operation twice per month and they corresponded to mean values. In the result of the sensitivity analysis, the objective function of the framework was described in Equation (7) using the Box–Benken methodology. It describes the correlation of the data. The regression models have ensured multiple linear regressions as the target function at MATLAB. Figure 2 presents the regression and correlation experiments for direct GHG emissions. The experimental nexus of optimal parameters and independent variables were obtained using a multiple regression analysis of empirical data. The optimal parameters (y) could be figured out using the quadric polynomial formulation within the scope of significant variables. The quadric regression model was derived using analysis of variance (ANOVA) in Equation (7).
(7)
Figure 2

Normal probability plots for the proposed method in terms of direct and indirect GHG emissions.

Figure 2

Normal probability plots for the proposed method in terms of direct and indirect GHG emissions.

Close modal
In the result of the sensitivity analysis, the EPI tool was given in Equation (8) for CO2 emission. The coefficients were determined according to the Box–Benken design method. The economic performance assessment tools for CH4 and N2O emissions were given in Equations (9) and (10), respectively.
(8)
(9)
(10)
Also, an economic performance assessment in terms of indirect GHG emissions was carried out. A new estimation tool was developed based on GHG emissions due to electricity consumption (x2,2), chemical consumption (x3,3), and sludge handling process (x4,4). Q is the variable as (x1). In the result of the sensitivity analysis, the objective function of the framework was described in Equation (11) using the Box–Benken method.
(11)
In the result of the sensitivity analysis, the economic performance assessment tool was given in Equation (12) for indirect GHG due to electricity consumption. The economic performance assessment tools for indirect GHG due to chemical consumption and the sludge handling process were given in Equations (13) and (14), respectively. Figure 2 presents the regression and correlation experiments for direct and indirect GHG emissions.
(12)
(13)
(14)

Statistical analysis and validation of the method

The empirical design matrix for direct and indirect GHG emissions and calculated responses in the result of the Box–Behnken method have been presented in Tables 3 and 4, respectively. The effects of the variables for estimating optimal GHG emissions were statistically analyzed with the help of ANOVA. The response surface method has been carried out using Statistica 7.1. software. The model was applied as it has a low standard deviation (0.0057) and high values of R2 (0.99) and adjusted R2 (0.97) for direct GHG emissions. For indirect GHG emissions, standard deviation (0.0063) and high values of R2 (0.98) and adjusted R2 (0.96) were figured out. Figure 3 demonstrated the empirical correspondence of optimal parameters and independent variables for direct and indirect GHG emissions.
Table 3

Empirical design matrix related to direct GHG emissions

Run orderx1 (Q)x2 (GHG, CO2)x3 (GHG, CH4)x4 (GHG, N2O)R2Standard deviation (STD)
2,900 0.375 0.6 2.020 0.68 0.0091 
2,850 0.410 0.6105 2.080 0.70 0.0092 
2,700 0.395 0.608 2.100 0.71 0.0083 
2,600 0.360 0.596 2.090 0.65 0.0087 
2,550 0.357 0.586 2.000 0.80 0.0081 
2,875 0.355 0.525 2.095 0.82 0.0080 
2,645 0.350 0.505 1.950 0.69 0.0077 
2,725 0.318 0.601 1.970 0.75 0.0095 
3,600 0.350 0.578 1.825 0.98 0.0090 
10 3,400 0.356 0.569 1.803 0.74 0.0091 
11 3,250 0.362 0.584 1.925 0.93 0.0088 
12 3,500 0.368 0.596 1.980 0.99 0.0058 
13 3,000 0.00 0.525 1.010 0.95 0.0059 
14 4,000 0.00 0.54 1.100 0.55 0.0086 
15 4,250 0.00 0.538 1.150 0.74 0.0060 
16 2,900 0.00 0.521 1.145 0.69 0.0079 
17 2,500 0.00 0.51 1.000 0.73 0.0071 
18 4,100 0.00 0.5 1.140 0.87 0.0075 
19 3,400 0.00 0.425 0.985 0.85 0.0073 
20 3,300 0.00 0.526 0.990 0.72 0.0069 
21 2,915 0.00 0.508 0.975 0.79 0.0067 
22 2,850 0.00 0.515 0.950 0.66 0.0064 
23 2,600 0.00 0.517 0.985 0.63 0.0061 
24 2,700 0.00 0.522 0.998 0.81 0.0066 
Run orderx1 (Q)x2 (GHG, CO2)x3 (GHG, CH4)x4 (GHG, N2O)R2Standard deviation (STD)
2,900 0.375 0.6 2.020 0.68 0.0091 
2,850 0.410 0.6105 2.080 0.70 0.0092 
2,700 0.395 0.608 2.100 0.71 0.0083 
2,600 0.360 0.596 2.090 0.65 0.0087 
2,550 0.357 0.586 2.000 0.80 0.0081 
2,875 0.355 0.525 2.095 0.82 0.0080 
2,645 0.350 0.505 1.950 0.69 0.0077 
2,725 0.318 0.601 1.970 0.75 0.0095 
3,600 0.350 0.578 1.825 0.98 0.0090 
10 3,400 0.356 0.569 1.803 0.74 0.0091 
11 3,250 0.362 0.584 1.925 0.93 0.0088 
12 3,500 0.368 0.596 1.980 0.99 0.0058 
13 3,000 0.00 0.525 1.010 0.95 0.0059 
14 4,000 0.00 0.54 1.100 0.55 0.0086 
15 4,250 0.00 0.538 1.150 0.74 0.0060 
16 2,900 0.00 0.521 1.145 0.69 0.0079 
17 2,500 0.00 0.51 1.000 0.73 0.0071 
18 4,100 0.00 0.5 1.140 0.87 0.0075 
19 3,400 0.00 0.425 0.985 0.85 0.0073 
20 3,300 0.00 0.526 0.990 0.72 0.0069 
21 2,915 0.00 0.508 0.975 0.79 0.0067 
22 2,850 0.00 0.515 0.950 0.66 0.0064 
23 2,600 0.00 0.517 0.985 0.63 0.0061 
24 2,700 0.00 0.522 0.998 0.81 0.0066 

x1: Q (m3/day),x2: GHG, CO2 (kg CO2e/day), x3: GHG, CH4 (kg CO2e/day), x4: GHG, N2O (kg CO2e/day), R2 = 0.99; adjusted R2 = 0.97, STD: 0.0058.

Table 4

Empirical design matrix related to indirect GHG emissions

Run orderx1 (Q)x2,2x3,3x4,4R2Standard deviation (STD)
2,900 5,800 62 6,950 0.78 0.0081 
2,850 5,250 61 6,875 0.69 0.0092 
2,700 4,850 60 6,800 0,73 0.0074 
2,600 4,500 58 6,900 0.67 0.0085 
2,550 5,125 57 6,650 0.83 0.0080 
2,875 5,001 55 6,550 0.80 0.0084 
2,645 5,003 63 6,500 0.66 0.0079 
2,725 5,125 67.5 6,730 0.74 0.0091 
3,600 4,250 66 6,740 0.95 0.0093 
10 3,400 4,389 65 6,800 0.79 0.0094 
11 3,250 4,400 56 6,600 0.92 0.0085 
12 3,500 4,300 54 6,650 0.98 0.0063 
13 3,000 4,125 64 6,750 0.97 0.0055 
14 4,000 4,009 52 6,650 0.95 0.0088 
15 4,250 5,010 57 6,680 0.64 0.0062 
16 2,900 5,036 51 6,875 0.79 0.0075 
17 2,500 5,011 68 6,925 0.71 0.0074 
18 4,100 5,450 50 6,735 0.88 0.0078 
19 3,400 4,111 52.5 6,840 0.87 0.0071 
20 3,300 4,078 63.5 6,530 0.70 0.0065 
21 2,915 4,117 61.5 6,730 0.75 0.0069 
22 2,850 5,009 60.5 6,670 0.62 0.0062 
23 2,600 4,215 66.5 6,560 0.64 0.0060 
24 2,700 4,017 67 6,490 0.89 0.0064 
Run orderx1 (Q)x2,2x3,3x4,4R2Standard deviation (STD)
2,900 5,800 62 6,950 0.78 0.0081 
2,850 5,250 61 6,875 0.69 0.0092 
2,700 4,850 60 6,800 0,73 0.0074 
2,600 4,500 58 6,900 0.67 0.0085 
2,550 5,125 57 6,650 0.83 0.0080 
2,875 5,001 55 6,550 0.80 0.0084 
2,645 5,003 63 6,500 0.66 0.0079 
2,725 5,125 67.5 6,730 0.74 0.0091 
3,600 4,250 66 6,740 0.95 0.0093 
10 3,400 4,389 65 6,800 0.79 0.0094 
11 3,250 4,400 56 6,600 0.92 0.0085 
12 3,500 4,300 54 6,650 0.98 0.0063 
13 3,000 4,125 64 6,750 0.97 0.0055 
14 4,000 4,009 52 6,650 0.95 0.0088 
15 4,250 5,010 57 6,680 0.64 0.0062 
16 2,900 5,036 51 6,875 0.79 0.0075 
17 2,500 5,011 68 6,925 0.71 0.0074 
18 4,100 5,450 50 6,735 0.88 0.0078 
19 3,400 4,111 52.5 6,840 0.87 0.0071 
20 3,300 4,078 63.5 6,530 0.70 0.0065 
21 2,915 4,117 61.5 6,730 0.75 0.0069 
22 2,850 5,009 60.5 6,670 0.62 0.0062 
23 2,600 4,215 66.5 6,560 0.64 0.0060 
24 2,700 4,017 67 6,490 0.89 0.0064 

x1: Q (m3/day),x2,2: electricity consumption (kWh), x3,3: chemical consumption (CC)(kg/day), x4,4: sludge treatment (ST) (kg/day), R2 = 0.98; adjusted R2 = 0.96, STD: 0.0063.

Figure 3

Response surface.

Figure 3

Response surface.

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The relevance test was performed. The degree of statistical relevance is notated by β-value. The results of ANOVA for the Box–Behnken method, designed for optimal direct and indirect GHG emissions are given in Table 5.

Table 5

ANOVA test results for the Box–Behnken method

ResourceDegree of freedomAdj. GHG, CO2Adj. GHG, CH4Adj. GHG, N2OAdj. ECAdj. CCAdj. STDf-valueβ-value
Model 12 0.325 0.60 2.09 5,000 65 6,250 3.20 0.015 
Linear 0.25 0.55 2.05 5,250 62 6,100 1.65 0.215 
x1 0.20 0.61 2.06 5,009 61 6,400 1.54 0.150 
x2 0.10 0.58 2.00 5,005 60 6,500 3.21 0.154 
x3 0.05 0.89 1.99 5,000 58 6,150 3.07 0.125 
x4 0.01 0.61 1.95 4,890 57 6,000 2.45 0.118 
x2,2 0.68 1.96 4,800 65.5 6,250 1.17 0.110 
x3,3 0.64 1.87 5,100 64 6,300 1.15 0.095 
x4,4 0.62 1.89 5,175 62.5 6,000 1.03 0.057 
Square 0.59 2.01 4,215 60.5 6,115 4.10 0.015 
 0.65 2.02 4,010 60 6,250 3.55 0.012 
Error 10 0.615 2.045 4,005 61 6,450   
Total 36 0.15 0.60 2.00 4,500 63.00 6,325   
ResourceDegree of freedomAdj. GHG, CO2Adj. GHG, CH4Adj. GHG, N2OAdj. ECAdj. CCAdj. STDf-valueβ-value
Model 12 0.325 0.60 2.09 5,000 65 6,250 3.20 0.015 
Linear 0.25 0.55 2.05 5,250 62 6,100 1.65 0.215 
x1 0.20 0.61 2.06 5,009 61 6,400 1.54 0.150 
x2 0.10 0.58 2.00 5,005 60 6,500 3.21 0.154 
x3 0.05 0.89 1.99 5,000 58 6,150 3.07 0.125 
x4 0.01 0.61 1.95 4,890 57 6,000 2.45 0.118 
x2,2 0.68 1.96 4,800 65.5 6,250 1.17 0.110 
x3,3 0.64 1.87 5,100 64 6,300 1.15 0.095 
x4,4 0.62 1.89 5,175 62.5 6,000 1.03 0.057 
Square 0.59 2.01 4,215 60.5 6,115 4.10 0.015 
 0.65 2.02 4,010 60 6,250 3.55 0.012 
Error 10 0.615 2.045 4,005 61 6,450   
Total 36 0.15 0.60 2.00 4,500 63.00 6,325   

Multiple linear regression model was performed to reveal a mathematical model for the response. ANOVA results showed that the model was efficient with R2 (adjusted) values of 96.00 and 97.00%. The proposed cost model had a β-value of 0.015 which defined the significance. The test results have revealed that optimal direct GHG emissions are 0.368 kgCO2e/day of CO2 emissions, 0.596 kgCO2e/day of CH4 emissions and 1.980 kgCO2e/day of N2O emissions. Optimal indirect GHG emissions are 4,300 kgCO2e/day of GHGelectricity, 54 kgCO2e/day of GHGchemical and 6,650 kgCO2e/day of GHGsludge. This research proposes a new extended economic performance estimation methodology dependent on corroboration for wastewater treatment. The optimal operational flow (Q) was 3,500 m3/day for direct and indirect GHG emissions.

Optimization using DEA and Monte Carlo simulation

DEA and Monte Carlo simulation have been simultaneously performed to determine the correspondence between energy consumption and GHG emissions. Optimum energy consumptions were determined for the minimum GHG emission from the DAF tank and aeration tank using the DEA and Monte Carlo simulation tools.

DEA is a non-parametric method dependent on linear programming that obtains an index of efficiency for determining the performance set of entities which are called decision-making units which change inputs into outputs (Sala-Garrido & Molinos-Senante 2020). According to this paper, the inputs are energy consumption, GWP, the volume of wastewater treated, and the total indirect GHG emissions. The outputs are optimum energy consumption for the minimum GHG emissions.

The DEA model that performed Variable Return to Scale (VRS) was regarded as model BCC model (Cooper et al. 2011). In this study, the BCC model was used for an industrial WWTP due to its overlapping with the characteristics of the plant. The aim is to optimize the energy consumption while producing effluent and meeting the water quality standards. Also, the categorization of groundwater pollutant parameters has been carried out according to energy intensity using the DEA methodology. The basic model is given in Equation (15) (Cooper et al. 2011).

(15)

In Equation (15), E (Xk = X1k, X2k, …, XEk) defines the vector of inputs and P (yk = y1k, y2k, …, yPk) defines the vector of outputs. According to the basic model, θ represents the optimum energy cost of the wastewater treatment plant and it could be figured out by means of Equation (15).

From this mathematical approach, the indirect GHG emissions and energy consumption were correlated with each other to define the optimum energy consumption using the DEA model. The DEA model is given in Equation (16).
(16)
where OptEC is the optimum energy consumption for minimum (kWh); EC is the energy consumption of WWTP/m3 wastewater treated (kWh/m3); GHGtotalindirect is the total indirect GHG emission (kgCO2e/day); Q is the wastewater flow rate (m3/day); GWP is the global warming potential of CO2 (1/kgCO2e).
Monte Carlo simulation has been performed as another simulation technique. The iterations (runs) are the tools to perform the simulation. One simulation has been carried out. A simulation contains 5,000 iterations. Probability distribution was selected as a lognormal distribution. The uncertain inputs were energy consumption of the DAF tank and aeration tank. The outputs were optimum energy consumption and minimum GHG emissions. The simulation model is given in Equation (17).
(17)
where OptEnergyCons is the optimum energy consumption (kWh); EC is the energy consumption (kWh/m3); GHGmin is the minimum GHG emission (kg CO2e/day).

Economic performance index assessment

Table 6 shows the CO2, CH4, and N2O emissions and indirect GHG emissions monitoring results and their economic performance index. According to the analysis results, direct emissions due to the treatment process were lower than indirect emissions from energy and chemical consumption and the sludge handling process. N2O emissions at the aeration tank in August were the highest GHG emission in the plant (2.1 kg CO2e/day). This could result from the nitrogen content of dairy wastewater mass. Nitrification and denitrification processes could trigger N2O formations in the wastewater mass. Also, it could be said that increasing temperature triggered GHG emissions formation in the plant. Aeration tank was the major GHG emission resource. CO2 emissions were the lowest direct GHG emission in January with a value of 0.318 kg CO2e/day. This could originate from lower microbial activity on the cold days in the biomass in the aeration tank. CO2 emission was not observed at the DAF tank. It could have resulted from no vital process such as respiration of the microbial mass at the DAF tank. CH4 emissions have been monitored at not only the aeration tank but also the DAF tank in the range of 0.425 (November)–0.6105 (July). It could be considered that CH4 was mainly emitted in the summer due to anaerobic stratification in the aeration tank. Qiao et al. (2020) monitored the GHG emissions from the wastewater treatment process of combined activated sludge and microalgae processes. On the contrary, CH4 emissions were not observed in their study. Lower CO2 emissions than in this study were reported. It could be said that an extended aeration process could release more GHG emissions rather than combined activated sludge and microalgae processes. Masuda et al. (2015) monitored similarly to this study that the highest GHG emission was in the summertime and the lowest was in wintertime. They similarly monitored the highest CH4 emission at the aeration tank (Masuda et al. (2015). Kyung et al. (2015) reported the highest CO2 emission was similarly monitored at the aeration tank. Kyung et al. (2015) reported the direct GHG emission in the value of 3,701 ± 269 kg CO2e/day. They reported higher GHG emissions than this study. It could be considered that the Bardenpho process emitted more GHG emissions than the extended aeration process. Rodríguez-Caballero et al. (2014) measured GHG emissions for aerated and non-aerated zones at a wastewater treatment plant. They similarly observed the highest GHG emissions at the aeration tank. According to this study, direct GHG emissions reductions reached 34% of N2O emissions, 33% of CH4 emissions, and 31% of CO2 emissions by altering the process conditions. From this perspective, this study confirms that process modification could be a GHG emission minimization technique. According to the EU Green Deal (2021), a 40% of reduction in GHG emissions could be ensured by 2030 for the waste sector compared to 2005 for 25 years. In this study, an average of 32.7% of the reduction in overall GHG emissions was ensured by modifying process conditions in terms of compliance with the EU Green Deal for 1 year. It could be said that a great reduction of GHG emissions in this industrial plant is within the scope of the Green Deal.

Table 6

GHG emissions monitoring results and economic performance assessment

ProcessMonthsGHG, CO2 (kgCO2e/day)GHG, CH4 (kgCO2e/day)GHG, N2O (kgCO2e/day)GHGElectricity (kgCO2e/day)EPI, GHGElectricityGHGChemical (kgCO2e/day)EPI, GHGChemicalGHGSludge (kgCO2e/day)EPI, GHGSludge
Aeration tank June 0.375 0.6 2.02 5,675.25 9.4 100.1 5.94 3,921.54 8.10 
July 0.41 0.6105 2.08 5,789.46 9.6 101.64 5.949 3,974.54 8.17 
August 0.395 0.608 2.1 5,969 10 103.18 5.96 4,003.34 8.20 
September 0.36 0.596 2.09 5,649.87 9.35 98.56 5.925 3,916.94 8.08 
October 0.357 0.586 5,644.23 9.32 92.4 5.85 3,888.14 8.00 
November 0.355 0.525 2.095 5,569.5 9.28 89.32 5.8 3,859.91 7.94 
December 0.35 0.505 1.95 5,311 9.25 87.78 5.75 3,801.73 6.98 
January 0.318 0.601 1.97 5,099.5 9.17 84.7 5.7 3,744.13 6.50 
February 0.325 0.578 1.825 4,465 86.24 5.72 3,772.93 6.78 
March 0.356 0.569 1.803 4,747 9.1 95.48 5.9 3,833.41 7.00 
April 0.362 0.584 1.925 5,174.7 9.2 97.79 5.92 3,859.33 7.93 
May 0.368 0.596 1.98 5,640 9.3 99.33 5.932 3,911.18 8.05 
DAF tank June 0.525 1.01 4,051.4 8.49 27.1 2.55 2,016.07 6.2 
July 0.54 1.1 4,065.5 8.59 32.52 2.59 2,044.87 6.21 
August 0.538 1.15 4,112.5 8.78 40.65 2.65 2,073.67 6.25 
September 0.521 1.145 3,971.5 8.44 35.23 2.61 2,004.55 6.19 
October 0.51 3,948 8.37 29.81 2.58 1,987.27 6.169 
November 0.5 1.14 3,924.5 8.35 28.45 2.56 1,972.87 6.16 
December 0.425 0.985 3,854 8.28 26.42 2.54 1,843.26 6.05 
January 0.526 0.99 3,525 8.25 24.39 2.51 1,670.46 5.99 
February 0.508 0.975 3,619 8.26 25.745 2.525 1,785.66 
March 0.515 0.95 3,901 8.31 27.6 2.555 1,872.07 6.125 
April 0.517 0.988 3,973 8.46 29.81 2.575 1,900.87 6.14 
May 0.522 0.998 4,018.5 8.47 31.16 2.58 1,998.79 6.175 
ProcessMonthsGHG, CO2 (kgCO2e/day)GHG, CH4 (kgCO2e/day)GHG, N2O (kgCO2e/day)GHGElectricity (kgCO2e/day)EPI, GHGElectricityGHGChemical (kgCO2e/day)EPI, GHGChemicalGHGSludge (kgCO2e/day)EPI, GHGSludge
Aeration tank June 0.375 0.6 2.02 5,675.25 9.4 100.1 5.94 3,921.54 8.10 
July 0.41 0.6105 2.08 5,789.46 9.6 101.64 5.949 3,974.54 8.17 
August 0.395 0.608 2.1 5,969 10 103.18 5.96 4,003.34 8.20 
September 0.36 0.596 2.09 5,649.87 9.35 98.56 5.925 3,916.94 8.08 
October 0.357 0.586 5,644.23 9.32 92.4 5.85 3,888.14 8.00 
November 0.355 0.525 2.095 5,569.5 9.28 89.32 5.8 3,859.91 7.94 
December 0.35 0.505 1.95 5,311 9.25 87.78 5.75 3,801.73 6.98 
January 0.318 0.601 1.97 5,099.5 9.17 84.7 5.7 3,744.13 6.50 
February 0.325 0.578 1.825 4,465 86.24 5.72 3,772.93 6.78 
March 0.356 0.569 1.803 4,747 9.1 95.48 5.9 3,833.41 7.00 
April 0.362 0.584 1.925 5,174.7 9.2 97.79 5.92 3,859.33 7.93 
May 0.368 0.596 1.98 5,640 9.3 99.33 5.932 3,911.18 8.05 
DAF tank June 0.525 1.01 4,051.4 8.49 27.1 2.55 2,016.07 6.2 
July 0.54 1.1 4,065.5 8.59 32.52 2.59 2,044.87 6.21 
August 0.538 1.15 4,112.5 8.78 40.65 2.65 2,073.67 6.25 
September 0.521 1.145 3,971.5 8.44 35.23 2.61 2,004.55 6.19 
October 0.51 3,948 8.37 29.81 2.58 1,987.27 6.169 
November 0.5 1.14 3,924.5 8.35 28.45 2.56 1,972.87 6.16 
December 0.425 0.985 3,854 8.28 26.42 2.54 1,843.26 6.05 
January 0.526 0.99 3,525 8.25 24.39 2.51 1,670.46 5.99 
February 0.508 0.975 3,619 8.26 25.745 2.525 1,785.66 
March 0.515 0.95 3,901 8.31 27.6 2.555 1,872.07 6.125 
April 0.517 0.988 3,973 8.46 29.81 2.575 1,900.87 6.14 
May 0.522 0.998 4,018.5 8.47 31.16 2.58 1,998.79 6.175 

Figure 4 shows the variation of economic performance based on direct GHG emissions applying process modification. Process modification has been fulfilled to minimize the GHG emissions for the aeration tank. Firstly, GHG emission monitoring was fulfilled on operating conditions of 18 h of HRT and 20 days of SRT. Process modification was adjusted to design conditions as 24 h of HRT and 22 days of SRT. Table 7 shows the impact of process modification on the economic performance of the industrial WWTP. According to the results, lower direct GHG emissions (0.216–1.388 kg CO2e/day) were measured at design conditions at 24 h of HRT and 22 days of SRT for all types of GHG emissions. From these results, it could be said that if the plant is operated at design conditions, lower GHG emissions would be released and lower economic costs. Also, process modification has a serious impact on energy costs. If the plant is operated under design conditions, lower economic costs could be reported in the range of 0.364–3.385 (Table 7). The EPIs of the design conditions (HRT = 18 h, SRT = 20 days) have varied from 0.505 to 4.85. The results revealed that N2O emissions led to the highest energy costs among direct emissions due to its global warming potential and treatment potential. The highest EPI was 4.85 related to N2O emissions in August under operational conditions (HRT = 18 h, SRT = 20 days). The lowest EPI corresponded to CO2 emissions in January with a value of 0.364 at design conditions (HRT = 24 h, SRT = 22 days). From this perspective, N2O could be classified as high-energy-intensive GHG, and CO2 could be regarded as low-energy-intensive GHG. Also, CH4 could be considered as a medium energy-intensive GHG, in this study. It could be said that if the plant is operated at design conditions, lower GHG emissions could lead to lower energy costs. If the aeration tank is operated at 24 h of hydraulic retention time (HRT) and 22 days of SRT, averagely 27, 27.9, and 30.7% of reduction in energy costs in terms of direct carbon dioxide (CO2), methane (CH4), and nitrous oxide (N2O) emissions, respectively, in the plant. On average, 28.53% of reduction in energy costs has been reported considering overall GHG emissions. It corresponded to 17.33 €/kWh of cost-saving in this plant. Figure 5 shows the overall economic performance assessment of the plant. Among indirect emissions, electricity consumption has the highest EPI value (10) corresponding to the aeration tank in the plant. It could be originated from the energy intensity of blower and diffusers at the aeration tank. EPI values resulted from GHG emissions due to the sludge handling process following it. The centrifuge decanter which enables sludge dewatering in the plant could be considered as a main electricity consuming device in this WWTP. Chemical consumption has the lowest GHG emissions and economic performance among indirect emissions. The EPI values of chemical consumption have the lowest values in the range of 2.55–5.949. According to the findings, GHG emissions were closely correlated with the energy costs of the WWTP. Especially, the economic performance index related to indirect GHG emissions had the highest values. Electricity consumption induced the highest energy costs in the plant for both DAF and aeration tanks.
Table 7

Results of the EPI based on process modification during the aeration process

ConditionsMonthsGHG, CO2 (kgCO2e/day)EPI, GHG, CO2GHG, CH4 (kgCO2e/day)EPI, GHG, CH4GHG, N2O (kgCO2e/day)EPI, GHG, N2O
HRT = 18 h, SRT = 20 days June 0.375 0.61 0.6 1.27 2.02 4.5 
July 0.41 0.66 0.6105 1.54 2.08 4.8 
August 0.395 0.64 0.608 1.68 2.1 4.85 
September 0.36 0.55 0.596 1.31 2.09 4.81 
October 0.357 0.56 0.586 1.25 
November 0.355 0.54 0.525 0.93 2.095 4.83 
December 0.35 0.52 0.505 0.84 1.95 3.94 
January 0.318 0.505 0.601 0.5 1.97 3.96 
February 0.325 0.51 0.578 0.62 1.825 3.87 
March 0.356 0.525 0.569 0.89 1.803 3.82 
April 0.362 0.58 0.584 1.13 1.925 3.89 
May 0.368 0.59 0.596 1.2 1.98 3.99 
HRT = 24 h, SRT = 22 days June 0.255 0.445 0.402 0.905 1.333 3.195 
July 0.287 0.481 0.407 1.108 1.366 3.312 
August 0.272 0.473 0.404 1.194 1.388 3.351 
September 0.245 0.396 0.399 0.943 1.381 3.270 
October 0.242 0.406 0.391 0.893 1.316 2.7 
November 0.248 0.399 0.347 0.673 1.384 3.385 
December 0.239 0.379 0.333 0.613 1.308 2.758 
January 0.216 0.364 0.397 0.360 1.319 2.732 
February 0.240 0.372 0.386 0.453 1.209 2.712 
March 0.245 0.381 0.380 0.647 1.193 2.677 
April 0.248 0.420 0.392 0.819 1.270 2.742 
May 0.249 0.430 0.402 0.874 1.298 2.673 
ConditionsMonthsGHG, CO2 (kgCO2e/day)EPI, GHG, CO2GHG, CH4 (kgCO2e/day)EPI, GHG, CH4GHG, N2O (kgCO2e/day)EPI, GHG, N2O
HRT = 18 h, SRT = 20 days June 0.375 0.61 0.6 1.27 2.02 4.5 
July 0.41 0.66 0.6105 1.54 2.08 4.8 
August 0.395 0.64 0.608 1.68 2.1 4.85 
September 0.36 0.55 0.596 1.31 2.09 4.81 
October 0.357 0.56 0.586 1.25 
November 0.355 0.54 0.525 0.93 2.095 4.83 
December 0.35 0.52 0.505 0.84 1.95 3.94 
January 0.318 0.505 0.601 0.5 1.97 3.96 
February 0.325 0.51 0.578 0.62 1.825 3.87 
March 0.356 0.525 0.569 0.89 1.803 3.82 
April 0.362 0.58 0.584 1.13 1.925 3.89 
May 0.368 0.59 0.596 1.2 1.98 3.99 
HRT = 24 h, SRT = 22 days June 0.255 0.445 0.402 0.905 1.333 3.195 
July 0.287 0.481 0.407 1.108 1.366 3.312 
August 0.272 0.473 0.404 1.194 1.388 3.351 
September 0.245 0.396 0.399 0.943 1.381 3.270 
October 0.242 0.406 0.391 0.893 1.316 2.7 
November 0.248 0.399 0.347 0.673 1.384 3.385 
December 0.239 0.379 0.333 0.613 1.308 2.758 
January 0.216 0.364 0.397 0.360 1.319 2.732 
February 0.240 0.372 0.386 0.453 1.209 2.712 
March 0.245 0.381 0.380 0.647 1.193 2.677 
April 0.248 0.420 0.392 0.819 1.270 2.742 
May 0.249 0.430 0.402 0.874 1.298 2.673 
Figure 4

Economic performance index assessment based on process modification.

Figure 4

Economic performance index assessment based on process modification.

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Figure 5

Economic performance index assessment.

Figure 5

Economic performance index assessment.

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There are limited studies on this topic. Kim et al. (2015) studied the optimization of operating conditions in terms of GHG emissions. They reported a similarly 31% of reduction while reducing the operating costs by nearly 11%. They recommended an integrated performance index including GHG emissions, operating costs, and effluent quality. The novelty of this paper is that the impact of design conditions within the scope of the GHG emissions and economic performance was assessed and the possible GHG emission mitigation was calculated based on GHG emissions measurement. Castellet-Viciano et al. (2018) performed a similar study. They similarly found that energy costs would be lower if the plant is operated under design conditions. Rodríguez-Caballero et al. (2014) investigated process conditions on GHG emissions for wastewater treatment. They reported process conditions to have a considerable impact on CO2, CH4, and N2O emissions. Molinos-Senante et al. (2014) investigated the economic and environmental performance of WWTPs in terms of reduction of GHG emissions. They similarly developed an environmental performance index based on GHG emissions. They estimated the potential for future reductions in GHG emissions. He et al. (2019) investigated the consolidated determination of design parameters in terms of energy consumption. They similarly reported that design conditions have an important impact on the energy consumption of the WWTPs. Badeti et al. (2021) revealed that the simulation shows that 33% of energy could be saved by 90% and N2O and CO2 emissions could also be minimized by 98 and 25%, respectively. Indirect GHG emissions could also be mitigated by 20%.

Energy consumption optimization results using DEA and Monte Carlo simulation

According to the DEA results, optimum energy consumption was decided for minimum indirect GHG emissions. The optimization results for the aeration and DAF process are given in Table 8. Table 9 shows the statistical analysis of variables at the DEA model. Figure 6 shows the DEA results for the optimization of energy consumption. The optimization results revealed that optimum energy consumptions for the aeration tank and DAF tank were 3,994.39 and 4,918.24 kWh, respectively. The implementation of the DEA model obtains the integration of WWTP data related to GHG emissions and energy consumption. According to the analysis results, economic performance optimization based on GHG emissions could be ensured if the energy consumption were adjusted to 3,994.39 and 4,918.24 kWh for aeration and DAF tank, respectively. According to statistical analysis of the DEA model, minimum energy consumption and maximum energy consumption were 7,500 and 12,700 kWh with a standard deviation of 0.007. The indirect GHG emissions have varied in the range of 5,219.85 and 10,075.52 kgCO2e/day when the standard deviation is 0.0055. These analysis results showed that the values of optimum energy consumption are significant, and DEA is a validated model according to the statistical analysis. Molinos-Senante et al. (2014) similarly used the DEA model to estimate environmental performance indicators of a wastewater treatment plant. They estimated a 30% of potential reduction in GHG emissions using DEA. Sala-Garrido & Molinos-Senante (2020) determined the efficiency of WWTPs using the DEA tool for cost reduction. They similarly reported that WWTPs could be defined in terms of efficiency for minimizing operating costs.
Table 8

Optimum energy consumption using DEA

ProcessMonthsEnergy consumption (kWh/m3)Total GHG,indirect (kgCO2e/day)Q (m3/day)GWP (1/kgCO2e)Optimum Energy Consumption (kWh)
Aeration tank June 12,075 9,696.89 3,500 4,358.35 
July 12,318 9,865.64 3,500 4,370.02 
August 12,700 10,075.52 3,500 4,411.68 
September 12,021 9,665.37 3,500 4,353.02 
October 12,009 9,624.77 3,500 4,367.02 
November 11,850 9,518.73 3,500 4,357.20 
December 11,300 9,200.51 3,500 4,298.67 
January 10,850 8,928.33 3,500 4,253.31 
February 9,500 8,324.17 3,500 3,994.39 
March 10,100 8,675.89 3,500 4,074.51 
April 11,010 9,131.82 3,500 4,219.86 
May 12,000 9,650.51 3,500 4,352.10 
DAF tank June 8,620 6,094.57 3,500 4,950.31 
July 8,650 6,142.89 3,500 4,928.46 
August 8,750 6,226.82 3,500 4,918.24 
September 8,450 6,011.28 3,500 4,919.92 
October 8,400 5,965.08 3,500 4,928.69 
November 8,350 5,925.82 3,500 4,931.80 
December 8,200 5,723.69 3,500 5,014.25 
January 7,500 5,219.85 3,500 5,028.88 
February 7,700 5,430.41 3,500 4,962.80 
March 8,300 5,800.17 3,500 5,008.48 
April 8,453 5,903.59 3,500 5,011.45 
May 8,550 6,048.45 3,500 4,947.54 
ProcessMonthsEnergy consumption (kWh/m3)Total GHG,indirect (kgCO2e/day)Q (m3/day)GWP (1/kgCO2e)Optimum Energy Consumption (kWh)
Aeration tank June 12,075 9,696.89 3,500 4,358.35 
July 12,318 9,865.64 3,500 4,370.02 
August 12,700 10,075.52 3,500 4,411.68 
September 12,021 9,665.37 3,500 4,353.02 
October 12,009 9,624.77 3,500 4,367.02 
November 11,850 9,518.73 3,500 4,357.20 
December 11,300 9,200.51 3,500 4,298.67 
January 10,850 8,928.33 3,500 4,253.31 
February 9,500 8,324.17 3,500 3,994.39 
March 10,100 8,675.89 3,500 4,074.51 
April 11,010 9,131.82 3,500 4,219.86 
May 12,000 9,650.51 3,500 4,352.10 
DAF tank June 8,620 6,094.57 3,500 4,950.31 
July 8,650 6,142.89 3,500 4,928.46 
August 8,750 6,226.82 3,500 4,918.24 
September 8,450 6,011.28 3,500 4,919.92 
October 8,400 5,965.08 3,500 4,928.69 
November 8,350 5,925.82 3,500 4,931.80 
December 8,200 5,723.69 3,500 5,014.25 
January 7,500 5,219.85 3,500 5,028.88 
February 7,700 5,430.41 3,500 4,962.80 
March 8,300 5,800.17 3,500 5,008.48 
April 8,453 5,903.59 3,500 5,011.45 
May 8,550 6,048.45 3,500 4,947.54 
Table 9

Statistical analysis of variables at the DEA model

Energy consumption (EC) (kWh/m3)Volume of treated water (Q) (m3/day)Total GHG,indirect (kgCO2e/day)GWP (1/kgCO2e)
Minimum 7,500 3,500 5,219.85 
Maximum 12,700 3,500 10,075.52 
Average 9,902 3,500 7,618.78 
Standard deviation 0.007 0.00 0.0055 0.00 
Energy consumption (EC) (kWh/m3)Volume of treated water (Q) (m3/day)Total GHG,indirect (kgCO2e/day)GWP (1/kgCO2e)
Minimum 7,500 3,500 5,219.85 
Maximum 12,700 3,500 10,075.52 
Average 9,902 3,500 7,618.78 
Standard deviation 0.007 0.00 0.0055 0.00 
Figure 6

Energy consumption optimization based on DEA.

Figure 6

Energy consumption optimization based on DEA.

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Furthermore, Monte Carlo simulation was applied to optimize the energy consumption for the minimum GHG emissions. Figure 7 shows the simulation results for aeration and DAF tanks. According to the simulation results, optimum energy consumption for the aeration tank was in the range of 3,524.95–3,525.07 kWh for the minimum GHG emissions. The standard deviation is 0.04 according to the statistical analysis. From this point of view, it could be said that simulation results are significant. If the plant is operated under these conditions, an economic improvement could be achieved. For the DAF tank, optimum energy consumptions varied in the range of 3,579.93–3,580 kWh with a standard deviation of 0.03. This result revealed that recommended values are in the safe range. There are limited studies related to Monte Carlo Simulation for WWTPs optimization. A similar study was carried out by Kyung et al. (2015). They used Monte Carlo Simulation to perform a sensitivity analysis to estimate the potential reduction of GHG emissions from the hybrid WWTP. This study uniquely investigated optimum energy consumption for the minimum GHG emissions using Monte Carlo simulation.
Figure 7

Energy consumption optimization using Monte Carlo simulation.

Figure 7

Energy consumption optimization using Monte Carlo simulation.

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From this point of view, the optimization results of energy consumption using DEA and Monte Carlo simulation have overlapped with each other. It could be said this study confirms that simulation results have significant data for the minimization of energy consumption.

This study confirms that GHG emissions and energy consumption have a significant correspondence with each other in terms of the water–energy nexus. GHG emissions could be regarded as a component of economic and environmental performance indicators. If the plant is operated under design conditions, an average of 27, 27.9, and 30.7% of reductions have been provided on energy costs in terms of direct CO2, CH4, and N2O emissions. It corresponded to nearly 17.33 €/kWh of cost saving in this plant. This study also confirmed that it would be a significant reduction in GHG emissions within the scope of compliance with the EU Green Deal. In this study, an average of 32.7% of the mitigation of total GHG emissions has been reported by applying process modification in terms of compliance with the EU Green Deal. According to the DEA model, optimum energy consumptions for the aeration tank and DAF tank were 3,994.39 and 4,918.24 kWh, respectively. On the other hand, optimum energy consumption for the aeration tank and DAF tank was in the range of 3,524.95–3,525.07 and 3,579.93–3,580 kWh, respectively, when the Monte Carlo simulation was performed. The optimization results of energy consumption using DEA and Monte Carlo simulation have overlapped with each other. This study proposes that process modification could be fulfilled to mitigate GHG emissions and energy costs in the industrial wastewater treatment plant. Operating an industrial wastewater treatment plant at design conditions could be a GHG emission reduction method in terms of the EU Green Deal. The authorities of the WWTPs should be focused on process conditions in order to mitigate the GHG emissions. This economic performance assessment based on GHG emissions, recommendations, and strategies could be a guide to optimizing the operation of industrial WWTPs in terms of energy cost-saving.

This work was partially supported by the Scientific Research Projects Committee of Harran University, (HUBAP) under Project No. 22159.

P.Y. monitored the GHG emissions and developed the estimation model of the economic performance index assessment based on GHG emissions. Also, P.Y. performed statistical analysis and validation of the method and Monte Carlo simulation. M.İ.Y. carried out DEA and organized the writing of the manuscript. M.İ.Y. also interpreted and analyzed the data used in this study. All the authors agreed to the submission of the article.

All relevant data are included in the paper or its Supplementary Information.

The authors declare there is no conflict.

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