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Asian Journal of Atmospheric Environment - Vol. 13 , No. 1

[ BAQ Special Issue ]
Asian Journal of Atmospheric Environment - Vol. 13, No. 1
Abbreviation: Asian J. Atmos. Environ
ISSN: 1976-6912 (Print) 2287-1160 (Online)
Print publication date 31 Mar 2019
Received 31 Dec 2018 Revised 01 Mar 2019 Accepted 13 Mar 2019
DOI: https://doi.org/10.5572/ajae.2019.13.1.062

NOX-VOC-O3 Sensitivity in Urban Environments of Sri Lanka
Perera, G.B.S.* ; Manthilake, M.M.I.D. ; Sugathapala, A.G.T. ; Huy, L.N.1) ; Lee, S.C.1)
Department of Mechanical Engineering, Faculty of Engineering, University of Moratuwa, Sri Lanka
1)Department of Civil and Environmental Engineering, Hong Kong Polytechnic University, Hong Kong

Correspondence to : * Tel: +94 716001377, E-mail: 138034A@uom.lk, bimalka.nced@yahoo.com


Copyright © 2019 by Asian Journal of Atmospheric Environment
This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/4.0/), which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Abstract

Physical phenomenon of the relation among the ground level O3, NOx and VOC governed by complex nonlinear photochemistry in urban environments is explained in detail using the ambient pollutant concentration data of eleven cities in Sri Lanka. The time-series analysis was conducted using the 24-hour average ambient concentrations of PM10, NO2, CO, O3 and SO2 air pollutants obtained from fixed air pollution monitoring station located in Colombo since 2008. Further analysis was carried out from the mobile air pollution monitoring station for eleven cities. The hourly averaged ambient real time air quality data i.e. VOC, NO2, NO, O3 pollutants and the corresponding meteorological parameters were analyzed and presented in weekly results for the base year 2013, 2014 and 2015. It was identified that there exist two regimes of NOx-VOC-O3 sensitivity among these cities. Colombo, Kurunegala, Jaffna, Matara, Badulla, Pollonnaruwa, and Gampaha are the NOx-sensitive regime. While Rathnapura, Anuradhapura, Kandy and Nuwaraelliya are the VOC-sensitive regime. In the NOx-sensitive regime (with relatively low NOx and high VOC), O3 increases with the increasing NOx and slightly changes in response to the increasing VOC levels. In the NOx-saturated or VOC-sensitive regime, O3 decreases with increasing NOx level and increases with increasing VOC levels. In the immediate vicinity of very large emissions of NO, O3 concentrations are depressed through the process of NOx titration. Mathematical relationships were developed to calculate the steady state ozone concentration (O3ss) that gives the values for both NOx-sensitive regime and the VOC-sensitive regime. Establishment of these relationships are essential for Sri Lanka to develop the appropriate interventions for controlling O3 pollution in each city.


Keywords: Volatile Organic Compounds, Ozone, NOx-VOC-O3 sensitivity, Urban environments, Sri Lanka

1. INTRODUCTION

Ozone (O3) is produced in the troposphere as a result of a complex set of reactions that involve volatile organic compounds (VOCs) and oxides of nitrogen (NOx). The interaction among O3, NOx and VOC are driven by the complex nonlinear photochemistry (Atkinson and Arey, 2003; Atkinson, 2000). Many Studies have been investigated the relation among NOx, O3 and VOC reactivity and NOx-VOC-O3 sensitivity (Simon et al., 2015; Kim et al., 2012; Kim et al., 2011; Shao et al., 2009; Geng et al., 2008; Murphy et al., 2007; Stein et al., 2005; Jiménez and Baldasano, 2004; Sillman, 2003; Zaveri et al., 2003; Sillman, 2002; Sillman, 1999; Jiang et al., 1997). In urban areas this can be affect the design of control strategies to reduce ambient ozone levels. If we were able to introduce a NOx-VOC-O3 sensitivity to certain measurable species which have different values to calculate this phenomenon, it will greatly help to reduce the O3 concentration in urban environments. However, there is relatively little research on this topic in Sri Lanka; hence, the comprehensive analysis of NOx-VOC-O3 sensitivity is an urgent need for effective ozone control in the country. Accurate understanding of the relation among O3, NOx and VOC is especially important because it suggests the possible role for developing national air quality management plan. Lack of clear understanding on physical phenomenon among O3, NOx and VOC interactions has hindered in developing air quality modeling tools with sufficient accuracy. Consequently, development of interventions for the control of O3 has become a challenging task for the policy makers and regulatory agencies in Sri Lanka. The objectives of this research are to identify (1) the influential parameters and (2) the governing mechanisms of NOx-VOC-O3 sensitivity in Sri Lankan cities by establishing pollutants interactions which subsequently assist in developing appropriate interventions for controlling O3 in a particular city in Sri Lanka.


2. RESEARCH METHODOLOGY

In this research, the time-series analysis was conducted using the 24-hour average ambient concentrations of PM10, NO2, CO, O3 and SO2 air pollutants obtained from fixed air pollution monitoring station located at Fort, Colombo from 1998 to 2008 according to the data availability. Additional analysis was carried out using the data in 2013, 2014 and 2015 which were collected from the mobile air pollution monitoring station for eleven cities in Sri Lanka. Equipment’s of the monitoring unit belongs to CEA, Sri Lanka, was used for the ambient air quality monitoring measurements. PM10 was measured using Environnement S.A.-PM101M Particulate monitor by Beta attenuation method. CO was measured using Environnement S.A.-CO12M Gas filter correlation carbon monoxide analyzer, EN series using the non-dispersive infrared spectroscopy. NO, NOx, NO2 were measured using Environnement S.A.- NO, NOx, NO2-AC32M by gas phase chemi-luminescence method. SO2 was measured using Environnement S.A.-AF22M, EN Series, UV Fluorescent sulfur dioxide analyzer by Pulse Fluorescent method. O3 was measured using Environnement S.A.-O3-42M, UV Photometric ozone analyzer, EN series using ultra violet photometric method. Non-methane and methane hydrocarbons were measured using Environnement S.A.-HC51M, FID hydrocarbon analyzer by flame ionization method. Environnement S.A,-MGC 101 computerized multi gas calibrator is also available and equipment’s are kept in 20°C temperature. The data in five out of eleven cities were selected for identification of major trend patterns as initial analysis, while the data of remaining cities were used for validation of the two regimes (Fig. 1). The locations of the mobile air pollution monitoring stations considered for the initial analysis are resided in the cities of Jaffna, Anuradhapura, Colombo, Rathnapura and Kurunegala (Table 1) covering five different provinces in the country. The 24-hour average data of various pollutants and meteorological parameters at these five different locations were compared with each other to assess air pollution status in different cities. Further similarities and differences of the trend patterns were analyzed to develop the inter-relationships of VOC, NO2, NO and O3 pollutants, and the NOx-VOC-O3 sensitivity. The ambient real time air quality data of all air pollutants and meteorological parameters were presented in weekly basis for the detailed analysis. Validation (http://statisticaloutsourcingservices.com/Outlier2.pdf) was carried out for the NOx-VOC-O3 sensitivity regimes developed using ambient real time air quality monitoring data collected in weekly based on the same methodology in another series of cities (e.g., Matara, Badulla, Pollonnaruwa, Gampaha, Kandy, Nuwaraelliya) for the above mentioned pollutants and the trends were compared to confirm the proposed NOx-VOC-O3 sensitivity for Sri Lankan cities. Physical phenomenon was developed that explains the chemical reactions of the two regimes. Mathematical relationship was developed to calculate the steady state ozone (O3ss) that gives the values for the NOx-sensitive regime and the VOC-sensitive regime.


Fig. 1. 
The eleven air quality monitoring locations of this research in Sri Lanka.

Table 1. 
Results of the 1998 to 2008 for the pollutant exceedance of the national standards and the WHO guideline values in Sri Lanka.
Year PM10 NO2
Days of
data
Hourly
maximum
(μgm-3)
Total days (%)
exceed NAAQS
100 μgm-3
Total days (%)
exceed WHO
50 μgm-3
Days of
data
Hourly
maximum
(ppb)
Total days (%)
exceed NAAQS
100 μgm-3
0.0494 ppm
Total days (%)
exceed WHO
40 μgm-3
(0.0197 ppm)
1998 224 101 1 (0.4) 32 (14.3) 224 0.093 4 (1.8) 31 (13.8)
1999 350 132 9 (2.6) 50 (14.3) 343 0.076 13 (3.8) 49 (14.3)
2000 350 145 7 (2.0) 49 (14.0) 350 0.067 16 (4.6) 51 (14.6)
2001 91 103 1 (1.1) 11 (12.1) 112 0.082 8 (7.1) 16 (14.3)
2002 126 120 2 (1.6) 16 (12.7) 147 0.059 7 (4.8) 21 (14.3)
2003 189 119 3 (1.6) 27 (14.3) 203 0.046 0 (0.0) 24 (11.8)
2004 364 136 12 (3.3) 51 (14.0) 371 0.056 5 (1.3) 45 (12.1)
2005 357 126 10 (2.8) 49 (13.7) 343 0.076 7 (2.0) 49 (14.3)
2006 357 124 9 (2.5) 45 (12.6) 357 0.076 11 (3.1) 48 (14.3)
2007 280 132 7 (2.5) 34 (12.1) 182 0.064 3 (1.6) 26 (14.3)
2008 189 126 3 (1.6) 23 (12.2) 140 0.075 9 (6.4) 20 (14.3)
Year CO SO2
Days of
data
Hourly
maximum
(ppb)
Total days (%)
exceed NAAQS
I-hour 30 mgm-3
Total days (%)
exceed WHO
35 ppb
(35,000 ppm)/
40 mgm-3
Days of
data
Hourly
maximum
(ppb)
Total days (%)
exceed NAAQS
Annual-0.03 ppm/
24 hour-0.14 ppm
Total days (%)
exceed WHO
20 μg/m3
1998 224 2.508 0 (0.0) 0 (0.0) 224 0.099 0 (0.0) 0 (0.0)
1999 350 2.27 0 (0.0) 0 (0.0) 350 0.095 0 (0.0) 0 (0.0)
2000 343 2.94 0 (0.0) 0 (0.0) 350 0.166 2 (0.6) 2 (0.6)
2001 105 8.197 0 (0.0) 0 (0.0) 112 0.14 1 (0.9) 1 (0.9)
2002 140 5.536 0 (0.0) 0 (0.0) 133 0.116 0 (0.0) 0 (0.0)
2003 182 5.332 0 (0.0) 0 (0.0) 203 0.066 0 (0.0) 0 (0.0)
2004 364 8.108 0 (0.0) 0 (0.0) 343 0.067 0 (0.0) 0 (0.0)
2005 336 5.981 0 (0.0) 0 (0.0) 308 0.127 0 (0.0) 0 (0.0)
2006 329 2.289 0 (0.0) 0 (0.0) 357 0.135 0 (0.0) 0 (0.0)
2007 252 2.86 0 (0.0) 0 (0.0) 259 0.138 0 (0.0) 0 (0.0)
2008 161 2.31 0 (0.0) 0 (0.0) 77 0.084 0 (0.0) 0 (0.0)
Year O3
Days of
data
Hourly
maximum
(ppb)
Total days (%) exceed NAAQS
1 hour 200 μgm-3 (0.0946 ppm)
Total days (%) exceed WHO
1 hour-0.12 ppm 8 hour-0.08 ppm
2007 175 0.011 0 (0.0) 0 (0.0)
2008 161 0.025 0 (0.0) 0 (0.0)


3. RESULTS AND DISCUSSION
3. 1 Ambient Air Pollution Status in Sri Lanka

24 hour averages of ambient PM10 level in Colombo over the years have remained relatively within the 60 to 82 μg/m3 range with a slight decreasing trend from 2003 to 2008 (Fig. 2). These values, consistently exceeded WHO latest guideline value of 50 μg/m3 for PM10. However, there is a slight decreasing trend of PM10 from 2003 to 2008 (Fig. 2) and considerable decreasing trend since 2008 (CEA, 2017). This could be due to the introduction of vehicle emission testing program and promotion of tax concession on newer cleaner vehicles. 24 hour averages values of ambient NO2 level in Colombo over the years have remained relatively within the 0.030 ppm to 0.050 ppm range with a slight decreasing trend from 2003 to 2008 (Fig. 2). High pollutant concentration was observed during the months of December to April having dry weather conditions. On the other hand, low pollutant concentration was observed during the months of June to September having wet weather conditions. 24 hour average values of ambient CO level in Colombo over the years have remained relatively within the 1 ppm to 2 ppm range with a remarkable decreasing trend from 2005 to 2008 (Fig. 2). USEPA Standard for CO is 9 ppm (10 mg/m3) and therefore CO is not a major air pollutant in Sri Lanka. 24 hour average values of ambient SO2 level in Colombo over the years have remained relatively within the 0.02 ppm to 0.08 ppm range with an increasing trend from 2003 to 2008 (Fig. 5). USEPA Standard for 24 hour SO2 is 0.014 ppm. Thus city of Colombo was exposed to high SO2 pollution during this period.


Fig. 2. 
PM10, NO2, CO, SO2 and O3 24 hour average values from 2003 to 2008 at Colombo Fort Air Pollution Monitoring Station. *Concentrations of O3 and SO2 are shown in secondary axis.

Recognizing the importance of the problem, government of Sri Lanka has proposed the fuel quality and air quality improvement road map to reduce the SO2 emissions. This will enhance the quality of fossil fuels for managing air quality in Sri Lanka. From this road map it had introduced high quality fuels in the country as follows; 500 ppm sulfur diesel as auto diesel distributed island-wide with effect from 1st of January 2014. Further, 350 ppm sulfur diesel as auto diesel and 150 ppm sulfur diesel as super diesel with effect from 2016. 24 hour average values of ambient O3 level in Colombo from July 2007 to June 2008 one year period shows that moderate peaks in December and January and prominent high peaks in April and June (Fig. 2). This also could be explained as a results of dry weather condition during these four months. Table 1 shows the results of the 1998 to 2008 for the above five pollutant exceedance of the Sri Lankan national standards and the WHO guideline values.

3. 2 The Seasonal Variation of Ozone

Surface ozone over the continents has a marked seasonal cycle (Zvyagintsev, 2004). A number of studies have been investigated on seasonal variation as explained below. Historically, high ground-level ozone has been reported in urban areas during hot, stagnant summer weather. According to the latest research findings, maximum can occur in winter/early spring (Almadov et al., 2015; Oltmans et al., 2008; Oltmans et al., 2006; Gros et al., 1998), in spring, or in spring/summer (Ahammed et al., 2006; Felipe-Sotelo et al., 2006). A complex interaction of photochemical and dynamic processes controls the key features of surface ozone variations (Lelieveld and Dentener, 2000) and the shape of the seasonal cycle (Monks, 2000; Oltmans and Levy, 1992). The lifetime of O3 in the lower troposphere varies from 4-5 days to 1-2 weeks depending on season (Wang et al., 2011). Due to the limited data available on O3, local variation can’t be explained in detail.

3. 3 Air Quality Monitoring Data in Five Sites

Table 2 shows the comparison of 24-hour average values of pollutant at five different locations in Sri Lanka. It shows that high level of air pollutants have shown in different location base on the pollutant source. Due to the industrial air pollution at Rathnapura highest particulate pollution (PM10-64 μgm-3, PM2.5-40 μgm-3, ppm where in both cases WHO guideline value has exceeded), high oxides of nitrogen (0.125 ppm), and high non-methane hydrocarbon (NMHC-0.997 ppm) was observed. Colombo has high air pollutant levels mainly coming from vehicular emission (Perera et al., 2018). In Colombo high particulate pollution was observed for both PM10 and PM2.5 (PM10-55 μgm-3, PM2.5-28 μgm-3, ppm where in both cases WHO guideline value has exceeded), high oxides of nitrogen both NO and NO2 (NO-0.044 ppm and NO2-0.026 ppm), and high non-methane hydrocarbon (NMHC-0.669 ppm) was observed. Jaffna and Anuradhapura have comparatively low air pollutant concentration. At Anuradhapura having higher Paddy fields high CH4 (CH4-1.828 ppm) concentration was observed. With the favorable temperature (28.4°C) in Anuradhapura, production of O3 (0.017 ppm) was also higher. Low concentration of pollutant at Jaffna could be due to the high sea breeze in the area.

Table 2. 
Comparison of 24-hour average values of pollutants at five locations.
Pollutant/Parameters Colombo Anuradhapura Jaffna Rathnapura Kurunagala Standard/Guideline (WHO, 2006)
PM2.5 (μgm-3) 28 16 15 40 25 PM2.5 SL Standard-50 μgm-3
PM2.5 WHO Guideline-25 μgm-3
PM10 (μgm-3) 55 30 39 64 51 PM10 SL Standard-100 μgm-3
PM10 WHO Guideline-50 μgm-3
THC (ppm) 2.344 2.254 1.678 2.672 2.243 No standard has been developed yet
CH4 (ppm) 1.674 1.828 1.259 1.675 1.440
NMHC (ppm) 0.669 0.426 0.419 0.997 0.803
CO (ppm) 0.769 0.556 0.503 1.017 0.747 CO I-hour SL Standard-30 mgm-3
CO 1-hour USEPA Standard-35 ppb
(35,000 ppm)/40 mgm-3
NO 0.044 0.048 0.005 0.114 0.031 NO2 SL Standard-100 μgm-3 (0.0494 ppm)
NO2 WHO Guideline-40 μgm-3 (0.0197 ppm)
NO2 0.026 0.005 0.011 0.011 0.011
NOX 0.070 0.053 0.016 0.125 0.042
O3 0.005 0.007 0.017 0.013 0.003 O3 1-hour SL Standard-200 μgm-3 (0.0946 ppm)
O3 1-hour USEPA Standard-0.12 ppm
Temperature (°C) 28.21 26.05 28.62 26.95 27.02
Relative-Humidity (%) 76.43 82.67 77.08 73.25 75.94
Wind speed (m/s) 0.694 0.328 1.908 0.620 0.953
Wind direction (degree) 223.64 109.82 157.70 232.89 180.35

3. 4 Physical Phenomenon

Data signifies that two concepts exist for NOx-VOC-O3 sensitivity. In some conditions, the process of O3 formation is controlled almost entirely by NOx and is largely independent of VOC (i.e., NOx-sensitive regime), while for other conditions O3 production increases with increasing VOC and does not increase (or sometimes even decreases) with increasing NOx (i.e., VOC-sensitive regime). In the NOx-sensitive regime (with relatively low NOx and high VOC), O3 increases with increasing NOx and changes little in response to increasing VOC. As an example, Fig. 3 shows that this phenomenon occurs in Colombo. The city is located in the wet zone. The average high temperature is around 31°C from March to April. Instruments are located down wind. At the Colombo site, wind direction is mainly from West and Southwest. Similarly, NOx-sensitive regime occurs in Kurunegala and Jaffna as well. Further, it was observed the trend patterns of NO, NO2 and NOx in these cities in Sri Lanka. These cities are with high traffic congestion and witnessed trends are probably due to traffic related emissions (Perera et al., 2010; Perera and Emmanuel, 2005). The Sri Lanka vehicle emission testing program (SLVET) was established in 2008. Sri Lanka has attempt to reduce air pollution by vehicle emission reduction methods including promotion of cleaner fuels and technologies (such as shifting to electric vehicles, fixing catalytic converters at the exhausts line), tax concession of importing newer and cleaner vehicles, i.e. 25% on electric vehicles and 50% on hybrid vehicles (MOF, 2010; Perera and Jayaweera, 2008), reduction of traffic by transport demand management, etc.


Fig. 3. 
NOX-sensitive regime in Colombo.

In the NOx saturated or VOC sensitive regime O3 decreases with increasing NOx and increases with increasing VOC, which is predominant in city of Rathnapura (Fig. 4). NO concentration vs wind direction at the Rathnapura location shown that the source or the industry may placed in 60° to 80° direction Rathnapura is located in the wet zone. The town receives rainfall mainly from south-western monsoons from May to September. The average temperature varies from 24 to 35°C, and there are high humidity levels. At the Rathnapura site, wind direction is mainly from North West directions. In the presence of low NO concentration, marked O3 concentration is seen in Fig. 4. However, with very high NO concentration, O3 concentration has reduced. This is due to the removal of O3 through reaction with NO as described in the introduction section. Further NO concentration vs wind direction at Rathnapura shows that pollutants are coming from the direction of 60-80° implying that a point emission source such as industry is located in that particular direction. Further, high peaks of NO concentration were observed when the industrial actions are involved. This type of condition needs to handle carefully as reduction in NO concentration may result in high production of O3. Therefore, it is essential to reduce both pollutants NO and VOC simultaneously to mitigate formation of O3. Intermediate of this high O3 production and how the titration of produced O3 concentration suddenly reduced could be clearly showed in Fig. 5 at the Anuradhapura site. Anuradhapura is usually hot and humid throughout the year and the average temperature remains 25-30°C. The town receives rainfall mainly from Southwest monsoon season begins in mid-May to October. At the Anuradhapura site, wind direction is mainly from North west and South east. The large thermal power plant such as Norocholai Coal Power plant, Kelanitissa Oil Power plant, Sapugaskanda Oil Power plan are away from the measurement sites. Accordingly, effects of power plant emissions could be excluded in the present study. Further, validation results confirm the two regimes of NOx-VOC-O3 sensitivity. Accordingly in Matara, Badulla, Pollonnaruwa, and Gampaha show the NOx-sensitive regime. In Kandy and Nuwaraelliya shows the VOC-sensitive regime as shown in Fig. 6.


Fig. 4. 
NOX-saturated or VOC-sensitive regime in Ratnapura.


Fig. 5. 
Intermediate of NOX-sensitive regime and VOC-sensitive regime in Anuradhapura.


Fig. 6. 
Validation of NOX-sensitive and VOC-sensitive regime in other cities.

3. 5 Chemical Relationship
3. 5. 1 NOx-sensitive Regime

By considering the chemical reactions of NOx-O3 cycle, mathematical relationship could be developed to calculate O3ss in the NOx-sensitive regime as (Atkinson and Arey, 2003; Atkinson, 2000):

NO2+hvNO+O 3Pλ<420 nm(R1) 
O 3P+O2+MO3+M(R2) 
O3+NONO2+O2(R3) 

Since the inter conversion between these species is so fast, a steady state is reached within a few minutes. This photo stationary state relation determines the O3 concentration. The NOx sensitive steady state O3 concentration is proportional to the [NO2]/[NO] ratio and it is defined as:

O3NOX sensitivity=jNO2NO2kNO+O3NO

where

k - depends on Temperature; Ω 0.4 ppm-1 s-1

j - depends on solar radiation; at night=0; at full sunlight= 0.4 min-1 (Atkinson and Arey, 2003)

3. 5. 2 VOC-sensitive Regime

By considering the chemical reactions of NOx-VOC, split mathematical relationship could be developed to calculate O3ss in the VOC-sensitive regime. O3 formation occurs through the following sequence of reactions. The sequence is almost always initiated by the reaction of various VOC or CO with the OH radical (R4 and R5). This is followed by the conversion of NO to NO2 (through reaction with HO2 or RO2 radicals), which also regenerates OH (see R6 and R7). NO2 is photolyed to generate atomic oxygen, which combines with O2 to create O3, as given in R8 and R9 (Sillman, 1999).

VOC+OH O2   RO2+H2O(R4) 
CO+OH O2   HO2+CO2(R5) 
RO2+NO O2   VOC+HO2+NO2(R6) 
HO2+NOOH+NO2(R7) 
NO2  sunlight   NO+O(R8) 
O+O2+MO3+M(R9) 

Here, RO2 represents any of a number of chains of organics with an O2 attached (replacing H in the original chain). This reacts with NO (R6) and H (which combines with O2 to form HO2). The rate of ozone formation is controlled primarily by the rate of the initial reaction of VOC with OH.

At the nighttime and in the immediate vicinity of very large emissions of NO, O3 concentrations are depressed through the process of NOx titration (Sillman, 1999; Gillani and Pleim, 1996). This consists of removal of O3 through reaction with NO as given in R10.

NO+O3NO2+O2(R10) 

Concentrations of odd-H radicals (odd hydrogen=OH+HO2+RO2, whereas RO2 stands for any organic peroxy radicals) were estimated with a radical steady state approximation (SSA) (Spirig et al., 2002; Staffelbach et al., 1997).

dOHdt=POH-OHiKiSi=0dHO2dt=PHO2-HO2jKjSj-2KperoxidHO22=0dRO2dt=PRO2-HO2j1Kj1SJ1-2KoperoxidRO22=0

where POH, PHO2, and PRO2 are the production rates of OH, HO2, and RO2, respectively. Si, Sj, and Sjʹ denote (radical or nonradical) species that act as reaction partners in sink reactions of OH, HO2, and RO2, respectively. R11 and R12 reactions have k1 and k2 Reaction Rate Constants which are available in literature (Spirig et al., 2002; Staffelbach et al., 1997).

NO+HO2  k1    NO2+HO(R11) 
NO+RO2  k2    NO2+RO(R12) 

k1=8.5×10-12; k2=7.7×10-12; Rate constants at 298 K in cm3 molecule-1 s-1 for bimolecular reactions and in s-1 for photolysis reactions (Spirig et al., 2002).

Since subsequent NO2 photolysis and the reaction of O (3P) atoms with oxygen are reasonably fast. With the peroxy radical concentrations obtained from the steady state approximation (SSA), (O3ss) in the VOC-sensitive regime is thus calculated as;

O3VOC sensitivity=NOk1HO2+k2RO2

Therefore, steady state Ozone concentration (O3ss) in both regimes could be calculated as below;

O3SS=O3NOX sensitivity+O3VOC sensitivityO3SS=jNO2NO2kNO+O3NO+NOk1HO2+k2RO2=0.4 min-1NO224 ppm-1 min-1NO2+NO8.5×10-12HO2+7.7×10-12RO2

In the ambient air hydrocarbon concentrations are equal to the volatile organic compounds concentration. As all ambient hydrocarbon are volatile. Therefore; [RO2] concentration could be replaced by the measured NMHC.


4. CONCLUSION

There exist two regimes of NOx-VOC-O3 sensitivity in Sri Lankan cities. Accordingly in Colombo, Kurunegala, Jaffna, Matara, Badulla, Pollonnaruwa, and Gampaha show the NOx-sensitive regime. In Rathnapura, Anuradhapura, Kandy and Nuwaraelliya shows the VOC-sensitive regime. The developed mathematical relationship could calculate the steady state ozone (O3ss). Further by identification of the regime type it will provide whether it is essential to reduce both pollutants NO and VOC simultaneously or vise vasa and the quantification of pollutants. Establishment of these relationships will assist in developing appropriate interventions to control O3 in a particular city.


Acknowledgments

National Sciences Foundation Sri Lanka for providing financial support under the Grant No: NSF/SCH/2012/06. Department of Environmental Engineering at Hong Kong Polytechnic University for providing technical support and Central Environmental Authority Sri Lanka for providing ambient air quality data.


References
1. Ahammed, Y.N., Reddy, R.R., Gopal, K.R., Narasimhulu, K., Basha, D.B., Reddy, L.S.S., Rao, T.V.R., (2006), Seasonal variation of the surface ozone and its precursor gases during 2001-2003, measured at Anantapur (14.62 degrees N), a semi-arid site in India, Atmospheric Research, 80, p151-164.
2. Ahmadov, R., McKeen, S., Trainer, M., Banta, R., Brewer, A., Brown, S., Edwards, P.M., de Gouw, J.A., Frost, G.J., Gilman, J., Helmig, D., Johnson, B., Karion, A., Koss, A., Langford, A., Lerner, B., Olson, J., Oltmans, S., Peischl, J., Pétron, G., Pichugina, Y., Roberts, J.M., Ryerson, T., Schnell, R., Senff, C., Sweeney, C., Thompson, C., Veres, P.R., Warneke, C., Wild, R., Williams, E.J., Yuan, B., Zamora, R., (2015), Understanding high wintertime ozone pollution events in an oil-and natural gas-producing region of the western US, Atmospheric Chemistry and Physics, 15, p411-429.
3. Atkinson, R., (2000), Atmospheric chemistry of VOCs and NOx, Atmospheric Environment, 34, p2063-2101.
4. Atkinson, R., Arey, J., (2003), Atmospheric degradation of Volatile Organic Compounds, Chemical Reviews, 103(12), p4605-4638.
5. CEA, (2017), Central Environmental Authority Sri Lanka web site, http://www.cea.lk/web/index.php/en/air-quality.
6. Felipe-Sotelo, L., Gustems, M., Hernandez, I., Terrado, M., Tauler, R., (2006), Investigation of geographical and temporal distribution of tropospheric ozone in Catalonia (North-East Spain) during the period 2000-2004 using multivariate data analysis methods, Atmospheric Environment, 40, p7421-7436.
7. Geng, F., Tie, X., Xu, J., Zhou, G., Peng, L., Gao, W., Tang, X., Zhao, C., (2008), Characterizations of ozone, NOx, and VOCs measured in Shanghai, China, Atmospheric Environment, 42(29), p6873-6883.
8. Gillani, N.V., Pleim, J.E., (1996), Sub-grid-scale features of anthropogenic emissions of NOx and VOC in the context of regional Eulerian models, Atmospheric Environment, 30(12), p2043-2059.
9. Gros, V., Poisson, N., Martin, D., Kanakidou, M., Bonsang, B., (1998), Observations and modeling of the seasonal variation of surface ozone at Amsterdam Island: 1994-1996, Journal of Geophysical Research-Atmospheres, 103, p28103-28109.
10. Jiang, W., Singleton, D.L., Hedley, M., McLaren, R., (1997), Sensitivity of ozone concentrations to VOC and NOx emissions in the Canadian Lower Fraser Valley, Atmospheric Environment, 31(4), p627-638.
11. Jiménez, P., Baldasano, J.M., (2004), Ozone response to precursor controls in very complex terrains: Use of photochemical indicators to assess O3-NOx-VOC sensitivity in the northeastern Iberian Peninsula, Journal of Geophysical Research, 109(D20), pD20309.
12. Kim, M.J., Park, R.J., Kim, J.J., (2012), Urban air quality modeling with full O3-NOx-VOC chemistry: Implications for O3 and PM air quality in a street canyon, Atmospheric Environment, 47, p330-340.
13. Kim, W.S., McKeen, S.A., Frost, G.J., Lee, S.H., Trainer, M., Richter, A., Angevine, W.M., Atlas, E., Bianco, L., Boersma, K.F., Brioude, J., Burrows, J.P., Gouw, J., de, Fried, A., Gleason, J., Hilboll, A., Mellqvist, J., Peischl, J., Richter, D., Rivera, C., Ryerson, T., Hekkert, S.T.L., Walega, J., Warneke, C., Weibring, P., Williams, E., (2011), Evaluations of NOx and highly reactive VOC emission inventories in Texas and their implications for ozone plume simulations during the Texas Air Quality Study 2006, Atmospheric Chemistry and Physics, 11, p11361-11386.
14. Lelieveld, J., Dentener, F.J., (2000), What controls tropospheric ozone?, Journal of Geophysical Research-Atmospheres, 105, p3531-3551.
15. Ministry of Finance MOF, (2010), National Budget Department Circular, Department of National Budget, Ministry of Finance, Sri Lanka, http://www.treasury.gov.lk/national_budget_circulars. https://www.parliament.lk/budget-2010.
16. Monk, P.S., (2000), A review of the observations and origins of the spring ozone maximum, Atmospheric Environment, 34, p3545-3561.
17. Murphy, J.G., Day, D.A., Cleary, P.A., Wooldridge, P.J., Millet, D.B., Goldstein, A.H., Cohen, R.C., (2007), The weekend effect within and downwind of Sacramento - Part 1: Observations of ozone, nitrogen oxides, and VOC reactivity, Atmospheric Chemistry and Physics, 7, p5327-5339.
18. Oltmans, S.J., Johnson, B.J., Helmig, D., (2008), Episodes of high surface-ozone amounts at South Pole during summer and their impact on the long-term surface-ozone variation, Atmospheric Environment, 42, p2804-2816.
19. Oltmans, S.J., Lefohn, A.S., Harris, J.M., Galbally, I., Scheel, H.E., Bodeker, G., Brunke, E., Claude, H., Tarasick, D., Johnson, B.J., Simmonds, P., Shadwick, D., Anlauf, K., Hayden, K., Schmidlin, F., Fujimoto, T., Akagi, K., Meyer, C., Nichol, S., Davies, J., Redondas, A., Cuevas, E., (2006), Long-term changes in tropospheric ozone, Atmospheric Environment, 40, p3156-3173.
20. Oltmans, S.J., Levy, H., (1992), Seasonal cycle of surface ozone over the western North Atlantic, Nature, 358, p392-394.
21. Perera, G.B.S., Emmanuel, R., (2005), An empirical study of human exposure and related health effects of transport-induced respirable particulate matter in the Colombo metropolitan region, Built Environment Sri Lanka, 05(02), p35-43.
22. Perera, G.B.S., Emmanuel, R., Nandasena, Y.L.S., (2010), Urban air pollution and mitigation options in Sri Lanka, Urban Design and Planning, Proceedings of the Institution of Civil Engineers, 163(DP 3), p127-138.
23. Perera, G.B.S., Jayaweera, D.S., (2008), Evaluation of Economic, Financial, Social and Environment impacts: Introducing a Tax Concession for Electrical Powered, Liquid Petroleum (LPG), Compact Natural Gas (CNG) and Hybrid Vehicles, consultative paper submitted to the Ministry of Environment, Sri Lanka.
24. Shao, M., Zhang, Y., Zeng, L., Tang, X., Zhang, J., Zhong, L., Wang, B., (2009), Ground-level ozone in the Pearl River Delta and the roles of VOC and NOx in its production, Journal of Environmental Management, 90(1), p512-518.
25. Sillman, S., (1999), The relation between ozone, NOx and hydrocarbons in urban and polluted rural environments, Atmospheric Environment, 33(12), p1821-1845.
26. Sillman, S., (2003), Tropospheric ozone and photochemical smog, Treatise on Geochemistry, 9, p407-431.
27. Sillman, S., He, D., (2002), Some theoretical results concerning O3-NOx-VOC chemistry and NOx-VOC indicators, Journal of Geophysical Research, 107(D22), pACH 26-1-ACH 26-15.
28. Simon, H., Reff, A., Wells, B., Xing, J., Frank, N., (2015), Ozone trends across the United States over a period of decreasing NOx and VOC emissions, Environmental Science and Technology, 49(1), p186-195.
29. Spirig, C., Neftel, A., Kleinman, L.I., Hjorth, J., (2002), NOx versus VOC limitation of O3 production in the Po valley: Local and integrated view based on observations, Journal of Geophysical Research, 107(D22), p8191.
30. Staffelbach, T., Neftel, A., Blatter, A., Gut, A., Fahrni, M., Stähelin, J., Prévôt, A., Hering, A., Lehning, M., Neininger, B., Bäumle, M., Kok, G.L., Dommen, J., Hutterli, M., Anklin, M., (1997), Photochemical oxidant formation over southern Switzerland: 1. Results from summer 1994, Journal of Geophysical Research Atmospheres, 102(D19), p23345-23362.
31. Stein, A.F., Mantilla, E., Millán, M., (2005), Using measured and modeled indicators to assess ozone-NOx-VOC sensitivity in a western Mediterranean coastal environment, Atmospheric Environment, 39(37), p7167-7180.
32. Wang, Y., Zhang, Y., Hao, J., Luo, M., (2011), Season and spatial variability of surface ozone over China: Contributions from background and domestic pollution, Atmospheric Chemistry and Physics, 11(7), p3511-3525.
33. World Health Organization (WHO), (2006), WHO Air quality guidelines for particulate matter, ozone, nitrogen dioxide and sulphur dioxide. Global update 2005, http://whqlibdoc.who.int/hq/2006/WHO_SDE_PHE_OEH_06.02_eng.pdf.
34. Zaveri, R.A., Berkowitz, C.M., Kleinman, L.I., Springston, S.R., Doskey, P.V., Lonneman, W.A., Spicer, C.W., (2003), Ozone production efficiency and NOx depletion in an urban plume: Interpretation of field observations and implications for evaluating O3-NOx-VOC sensitivity, Journal of Geophysical Research, 108(D14), pACH 12-1-23.
35. Zvyagintsev, A.M., (2004), Main periodicities of the temporal variability of the surface ozone in Europe, Meteorology and Hydrology, 10, p46-55.