Air Quality Monitoring & Atmospheric Modeling: Sensor Calibration, Gaussian Dispersion, and Photo-Chemical Smog Kinetics
Air quality monitoring and atmospheric dispersion modeling are foundational to urban environmental management and industrial emission compliance. Ambient air monitoring measures primary and secondary pollutants—including fine particulate matter ($\text{PM}_{2.5}$, $\text{PM}_{10}$), nitrogen oxides ($\text{NO}_x$), sulfur dioxide ($\text{SO}_2$), and ground-level ozone ($\text{O}_3$)—to quantify public health exposure risks and track atmospheric reaction pathways. To convert continuous sensor electrical responses into calibrated mass concentration metrics ($C_{\text{cal}}$), multi-variate environmental cross-sensitivities (such as temperature $T$ and relative humidity $RH$) are corrected using nonlinear calibration models: $$C_{\text{cal}} = \alpha \cdot (V_{\text{raw}} - V_0) \cdot \exp\left( \beta \cdot RH + \gamma \cdot T \right)$$ Where $V_{\text{raw}}$ is raw sensor output voltage, $V_0$ is baseline zero-drift voltage, and $\alpha$, $\beta$, and $\gamma$ represent empirical...