Smoke Dispersion Simulator: Gaussian Plume Wildfire Smoke Model

simulator intermediate ~10 min
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C_max = 42 µg/m³ at 3.2 km downwind — Unhealthy for Sensitive Groups

A 5000 g/s PM₂.₅ source with 500 m plume rise in slightly unstable conditions produces a peak ground-level concentration of 42 µg/m³ at 3.2 km downwind.

Formula

C(x,y,0) = Q / (2π × U × σ_y × σ_z) × exp(−y²/2σ_y²) × exp(−H²/2σ_z²)
σ_y = a × x^b, σ_z = c × x^d (Pasquill-Gifford coefficients)
ΔH = 1.6 × F^(1/3) × x_f^(2/3) / U (Briggs plume rise)

Smoke: The Invisible Wildfire Hazard

Wildfire smoke kills more people than flames. Fine particulate matter (PM₂.₅) from wildfire smoke penetrates deep into lungs, causing respiratory distress, cardiovascular events, and premature death. As wildfire seasons lengthen due to climate change, smoke exposure has become a major public health crisis affecting hundreds of millions of people annually, often far from the fire itself.

The Gaussian Plume

The Gaussian plume model, developed from decades of atmospheric dispersion research, provides the simplest physically meaningful estimate of downwind smoke concentration. The model assumes that turbulent mixing spreads the plume in a Gaussian bell curve pattern in both crosswind and vertical directions, with spreading rates determined by atmospheric stability. Despite its simplicity, it captures the essential physics: concentration decreases with distance, wind dilutes the plume, and stability controls the mixing rate.

Stability and Inversions

Atmospheric stability is the key control on smoke impacts. Unstable conditions (sunny afternoons) promote strong convective mixing that rapidly dilutes smoke but also brings elevated plumes to ground level. Stable conditions (clear nights, temperature inversions) trap smoke near the surface, creating hazardous concentrations that persist for hours. The worst smoke events occur when large fires burn during the day, lofting smoke that descends and accumulates during nocturnal inversions over populated valleys.

Plume Rise and Long-Range Transport

Intense wildfires generate their own convective columns, lofting smoke far above the surface. Plume rise depends on fire heat flux, wind speed, and atmospheric stability — large fires can inject smoke into the upper troposphere or even the stratosphere, where it enters long-range transport and affects air quality thousands of kilometers away. This simulation models the effective plume height after buoyant rise, connecting fire intensity to downwind ground-level concentration and public health impact zones.

FAQ

What is the Gaussian plume model?

The Gaussian plume model is the most widely used analytical framework for atmospheric dispersion. It assumes pollutant concentration follows a Gaussian (bell curve) distribution in both the horizontal crosswind and vertical directions, spreading proportionally to distance from the source. Despite its simplicity, it provides reasonable estimates for continuous point sources under steady wind conditions.

How does atmospheric stability affect smoke dispersion?

Atmospheric stability determines how quickly turbulence mixes smoke away from its source. Unstable conditions (class A-B, sunny afternoons) promote strong vertical mixing, dispersing smoke rapidly but bringing it to ground level closer to the source. Stable conditions (class E-F, clear nights) suppress mixing, creating narrow concentrated plumes that travel long distances.

What are Pasquill stability classes?

The Pasquill-Gifford stability classification ranges from A (extremely unstable — strong daytime convection) through D (neutral) to F (very stable — clear night, light wind). Each class has empirically determined dispersion coefficients (σy, σz) that control how rapidly the plume spreads. The class is determined by wind speed, cloud cover, and solar radiation.

How far does wildfire smoke travel?

Wildfire smoke can travel thousands of kilometers. Large fires inject smoke above the boundary layer, where it enters long-range transport patterns. The 2020 Australian bushfires produced a stratospheric smoke layer that circled the globe. However, ground-level health impacts are typically most severe within 50-200 km of the fire, where concentrated smoke settles during temperature inversions.

Sources

Embed

<iframe src="https://homo-deus.com/lab/wildfire-science/smoke-dispersion/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub