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Air quality monitoring and dispersion modelling

Environmental Engineering (B.E./B.Tech) · Air and noise pollution engineering · free study notes for exams, placements and interviews

In short

Air quality monitoring measures what is actually present in the ambient air or in a stack; dispersion modelling predicts what a given emission will do to ground-level concentrations downwind. Together they close the loop of air-pollution control: monitoring tells you whether the National Ambient Air Quality Standards (NAAQS) are met, modelling tells you how tall a stack must be, where to site an industry, and what an expansion will add. In India this is statutory work under the Air (Prevention and Control of Pollution) Act, 1981 and the Environment (Protection) Act, 1986 - every EIA report, consent-to-operate application and NCAP city action plan contains both a monitoring dataset and a model run. It is a standard GATE (Environmental Science and Engineering) scoring area - Gaussian plume, stability classes, effective stack height, AQI - and a routine interview topic for CPCB/SPCB, NEERI, EIA consultancies, cement, steel, refinery and thermal-power environment cells.

Explained

Why monitor, and under what law

Ambient monitoring: network design and sampling protocol

Measurement methods

National Air Quality Index (AQI)

Meteorology that controls dispersion

Dispersion modelling

Key points

Formulas and examples

Gaussian plume, elevated point source (with ground reflection):
C(x,y,z) = [Q / (2π u σy σz)] · exp(−y²/2σy²) · { exp[−(z−H)²/2σz²] + exp[−(z+H)²/2σz²] }
C = concentration (g/m³), Q = emission rate (g/s), u = wind speed at stack top (m/s), σy, σz = dispersion coefficients at distance x (m), H = effective stack height (m), y = crosswind distance, z = receptor height.
Ground-level centreline (y = 0, z = 0): C = [Q / (π u σy σz)] · exp(−H²/2σz²)
Ground-level, ground-level source (H = 0): C = Q / (π u σy σz)
Maximum ground-level concentration: occurs at σz = H/√2, and
C_max = [2Q / (π e u H²)] · (σz/σy) with e = 2.718; σz/σy taken at that distance
Plume rise, Holland: Δh = (vs d / u) · [1.5 + 2.68×10⁻³ · P · d · (Ts − Ta)/Ts]
vs = exit velocity (m/s), d = stack inside diameter (m), P = atmospheric pressure (millibar/hPa), Ts, Ta = stack gas and ambient absolute temperatures (K), Δh in m.
Briggs (buoyancy flux and neutral/unstable rise): F = g·vs·d²·(Ts − Ta)/(4Ts) (m⁴/s³); Δh = 1.6 F1/3 x2/3 / u
Wind power law: u_z = u_1 (z/z_1)p (p ≈ 0.07-0.10 unstable, 0.15 neutral, 0.25-0.40 stable/urban)
Adiabatic check: ELR = −dT/dz; compare with DALR = g/cp ≈ 9.8 °C/km
Ventilation coefficient = mixing height (m) × mean wind speed (m/s) (m²/s)
CPCB SO₂ stack height: H = 14 Q0.3 (H in m, Q in kg SO₂/h); DG set: H = building height + 0.2√(kVA)
Gravimetric concentration: C = (W₂ − W₁)/V, with V = flow rate × sampling time (m³); report in µg/m³
AQI sub-index: I_p = I_Lo + [(I_Hi − I_Lo)/(B_Hi − B_Lo)] × (C_p − B_Lo); AQI = max(I_p)

NAAQS 2009 - frequently asked values (µg/m³ unless stated)

PollutantAveragingIndustrial/residential/ruralEcologically sensitive
PM10Annual / 24 h60 / 10060 / 100
PM2.5Annual / 24 h40 / 6040 / 60
SO₂Annual / 24 h50 / 8020 / 80
NO₂Annual / 24 h40 / 8030 / 80
CO (mg/m³)8 h / 1 h2 / 42 / 4
O₃8 h / 1 h100 / 180100 / 180
NH₃Annual / 24 h100 / 400100 / 400
PbAnnual / 24 h0.5 / 1.00.5 / 1.0
BenzeneAnnual55
BaP (ng/m³)Annual11
As / Ni (ng/m³)Annual6 / 206 / 20

Example 1 - PM10 by gravimetry. An RDS runs at 1.2 m³/min for 24 h; filter mass rises from 3.4520 g to 3.6020 g.

Example 2 - ground-level concentration under the plume. Q = 100 g/s of SO₂, u = 6 m/s at stack top, effective height H = 100 m. At x = 1 km, stability class C gives σy = 100 m, σz = 61 m. Find the centreline ground concentration.

Example 3 - plume rise and effective height. Stack height 60 m, d = 2 m, vs = 12 m/s, Ts = 420 K, Ta = 293 K, u = 5 m/s, P = 1,000 mb.

Example 4 - maximum ground-level concentration. Q = 72 g/s, u = 5 m/s, H = 50 m, σz/σy = 0.5 at the critical distance.

Example 5 - AQI from a day's data. PM2.5 = 105, PM10 = 220, NO₂ = 95 µg/m³ (24-h averages).

Example 6 - stability and stack height.

Gaussian plume (AERMOD/ISCST3)Puff (CALPUFF)Eulerian grid (CMAQ/WRF-Chem)
Best forSteady point/area sources, <50 kmCalm winds, long range, varying metSecondary PM, ozone, regional
ChemistryNone or simple decayLimitedFull photochemistry
Data needLow-moderateModerateVery high
Indian useEIA, consent, stack designCoastal/hilly, inter-city transportNCAP source apportionment, forecasts

Where it is used

Interview questions

Common mistakes

Related topics

Air pollution and control · Air pollution control equipment design: cyclones, ESP, bag filters and scrubbers · Noise pollution · Environmental impact assessment and environmental audit · Meteorology and micrometeorology · Environmental legislation and standards in India.

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