Hawaii’s lava fountains are driven by the rapid expansion of gas bubbles—mostly water vapor, carbon dioxide, and sulfur dioxide—that exsolve from magma as it rises toward the surface. When the gas pressure exceeds the strength of the overlying rock and magma, it propels molten rock into the air, creating fountains that can range from a few meters to hundreds of meters tall. The height and intensity of these fountains depend on the gas content, magma viscosity, and the geometry of the volcanic conduit.
Formula
The calculator above estimates the average exit velocity of lava from a fountain using the ballistic equation: v = √(2 × g × h), where v is the exit velocity in meters per second, g is gravitational acceleration (9.81 m/s²), and h is the maximum fountain height in meters. This assumes negligible air resistance and that the lava is ejected vertically. The second output estimates the volume flux per meter of vent width, using a simplified relationship between height and discharge rate (Q ≈ 1.5 × h, in m²/s), divided by the eruption duration in seconds.
Worked Example
Using the default values: h = 50 m, t = 10 hours. First, exit velocity: v = √(2 × 9.81 × 50) = √(981) ≈ 31.3 m/s. Second, volume flux: Q = (1.5 × 50) / (10 × 3600) = 75 / 36000 ≈ 0.00208 m²/s. So the calculator returns 31.3 m/s for velocity and 0.002 m²/s for flux.
How Gas Drives the Fountains
Magma beneath Hawaii contains dissolved gases, primarily water vapor (H₂O), carbon dioxide (CO₂), and sulfur dioxide (SO₂). As magma ascends from depths of several kilometers, pressure decreases, allowing these gases to form bubbles—a process called exsolution. The bubbles grow, coalesce, and rise faster than the surrounding liquid, creating a foam that can fragment into pyroclasts when the bubble walls rupture. This fragmentation is what ejects lava into the air. The key variable is the gas content: basaltic magma at Kīlauea typically contains 0.5–1.5 wt% water, which is enough to drive fountains when combined with CO₂.
Why Some Eruptions Fountain Higher
Fountain height is controlled by the balance between gas expansion and magma viscosity. Higher gas content means more energy available to accelerate the lava. Lower viscosity (more fluid magma) allows bubbles to expand more freely, producing higher fountains. Conduit geometry also matters: a narrow vent can increase jet velocity, while a wide fissure may produce lower, broader fountains. For example, the 1959 Kīlauea Iki eruption reached 580 m, one of the highest ever recorded, due to high gas content and a confined vent. In contrast, the 2018 lower East Rift Zone eruption produced fountains of 30–80 m, typical of open fissures with moderate gas.
Reading the Numbers: What the Calculator Tells You
The exit velocity calculated here is a theoretical maximum, assuming no air drag and vertical ejection. Real fountains have a spread of particle sizes, and larger clasts follow ballistic paths while fine ash is carried by winds. The volume flux estimate is very rough—it uses a linear relationship between height and discharge that fits some Hawaiian eruptions but not all. Use these numbers as a first-order approximation, not as a precise prediction. For a real eruption, scientists use Doppler radar and thermal cameras to measure velocities directly.
Common Misconceptions
- “Lava fountains are caused by explosions.” Most Hawaiian fountains are not explosive in the sense of chemical reactions; they are driven by physical gas expansion. True explosions occur when external water interacts with magma, as in phreatomagmatic eruptions.
- “Higher fountains mean more lava volume.” Not always. A tall fountain can be gas-rich but low in total volume, while a low fountain can be voluminous. The 2018 eruption had moderate fountains but produced a huge lava flow field.
- “Fountains are steady.” They often pulse, with bursts lasting seconds to minutes, reflecting gas slugs rising through the conduit.
Safety and Observation
Lava fountains are dangerous. They eject molten rock at temperatures of 1,100–1,200°C, and the ballistic clasts can be the size of cars. Even the gas plume contains sulfur dioxide, which is toxic and can cause respiratory distress. Observers should stay at least several kilometers away, wear respirators if downwind, and follow official hazard warnings. The calculator’s velocity can help estimate how far clasts might travel: a 31 m/s ejection at 45° would land about 100 m away, but winds can carry smaller particles much farther.
Frequently Asked Questions
What is the tallest lava fountain ever recorded in Hawaii?
The tallest reliably measured fountain was at Kīlauea Iki in 1959, reaching about 580 meters (1,900 feet). That eruption had unusually high gas content and a narrow vent, which focused the energy upward.
Can lava fountains occur underwater?
Yes. Submarine eruptions on Hawaiian volcanoes produce fountains, but the water pressure suppresses gas expansion, so they are typically shorter and less explosive than subaerial ones. The water also rapidly quenches the lava into pillow shapes.
How long do lava fountains last?
Individual fountains can last from seconds to hours. The 1959 Kīlauea Iki eruption had episodic fountaining over several weeks, with each episode lasting up to a few hours. The 2018 fissure 8 eruption had sustained fountaining for months, but with variable intensity.
Why do some fountains glow orange while others are darker?
The color reflects temperature and composition. Fresh basaltic lava glows orange-red at 1,100–1,200°C. Darker, crusted clasts have cooled on the surface. The glow can also be affected by the presence of volcanic gases, which can emit blue or green colors when burned.
Is there a way to predict fountain height before an eruption?
Scientists use seismic tremor, ground deformation, and gas emissions to estimate the gas content and pressure, which can hint at potential fountain height. However, exact prediction is not possible; the calculator here gives a theoretical maximum based on height, not a forecast.
Related
Formula used
in t | Eruption duration | hours | 10 | 0.1 | 1000 in h | Fountain height | m | 50 | 1 | 1000 out v | Average exit velocity | m/s | sqrt(2 * 9.81 * h) | 1 out q | Volume flux (per meter vent) | m²/s | (h * 1.5) / (t * 3600) | 3
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.
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