Alluvial Fan Simulator: Sediment Deposition, Fan Growth & Morphology

simulator beginner ~9 min
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R = 850 m — fan radius after 1000 years of deposition

With 5000 m³/yr sediment supply at 5° slope, the alluvial fan grows to approximately 850m radius over 1000 years, with aggradation rate decreasing as the fan area expands.

Formula

R = (3V / (π·tan(S)))^(1/3)  [Fan radius from volume]
Q_c = k·Q_w·S^1.5 / D^0.5  [Sediment transport capacity]
S_eq = (Q_s / (k·Q_w))^(2/3) × D^(1/3)  [Equilibrium fan slope]

Mountain Front Deposition

Where steep mountain canyons open onto flat basins, rivers lose their confinement and gradient simultaneously. The flow decelerates, spreads laterally, and can no longer carry its sediment load. Material deposits in a fan-shaped body that radiates from the canyon mouth — the alluvial fan. These landforms are among the most visually striking features of arid and semi-arid mountain fronts, visible from space as distinctive semicircular aprons.

Fan Growth by Avulsion

Alluvial fans grow through channel avulsion — the active channel deposits sediment, building up its own bed until it becomes perched above the surrounding fan surface, then abruptly shifts to a lower position. This self-organizing process distributes sediment across the entire fan over time, maintaining the conical geometry. The avulsion frequency and spatial pattern determine whether the fan aggrades uniformly or develops distinct lobes.

Grain Size Sorting & Fan Zonation

A hallmark of alluvial fans is downstream fining: the coarsest material (boulders, cobbles) deposits near the apex where slope is steepest and transport capacity drops most sharply, while progressively finer sediment (gravel, sand, silt) reaches the distal margins. This creates distinct sedimentary zones — proximal, medial, and distal — each with characteristic grain sizes, sedimentary structures, and depositional processes.

Debris Flows vs. Fluvial Processes

Two end-member processes build alluvial fans: debris flows (dense, sediment-rich slurries) and fluvial processes (dilute water flows). Debris-flow fans are steep (5-15°), lobate, and poorly sorted, while fluvial fans are gentle (1-5°), channel-dominated, and better sorted. Most fans experience both processes, with debris flows during extreme storms and fluvial transport during moderate events, creating interbedded stratigraphic records.

FAQ

What is an alluvial fan?

An alluvial fan is a cone-shaped deposit of sediment formed where a steep mountain stream emerges onto a flat plain. The sudden reduction in slope causes flow to decelerate and spread, depositing its sediment load in a radiating pattern. Fans are common at mountain fronts worldwide, from Death Valley to the Himalayas.

How do alluvial fans grow?

Fans grow by avulsion — the channel periodically shifts position, sweeping across the fan surface and depositing sediment in new locations. Over time, this distributes sediment evenly, maintaining the conical shape. Fan radius grows as the cube root of deposited volume, meaning growth slows as the fan enlarges.

What controls fan slope?

Fan slope is primarily controlled by sediment grain size and the ratio of water to sediment discharge. Coarse-grained debris-flow fans are steep (5-15°), while fine-grained fluvial fans are gentle (1-5°). The slope adjusts to maintain just enough transport capacity to move the supplied sediment.

Why do alluvial fans matter for hazards?

Alluvial fans are among the most hazardous landforms. Flash floods and debris flows on fans are sudden, powerful, and unpredictable because channels avulse. Many desert cities are built on fans (Las Vegas, Phoenix, Tehran), and fan-related flooding causes billions of dollars in damage and numerous fatalities each decade.

Sources

Embed

<iframe src="https://homo-deus.com/lab/geomorphology/alluvial-fan/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub