Magma Chamber & Conduit Dynamics (2D)

Feed & Conduit

Magma influx (Q_in) 3.0 m³/s

Conduit radius (r) 6.0 m

Magma viscosity (μ) 1.0×10⁵ Pa·s

Dissolved gas 3.0 wt%

Live Readout

Elapsed time

0.0 s

Chamber pressure

0.0 MPa

Vent flow rate

0.0 m³/s

Exit velocity

0.0 m/s

Erupted volume

0 m³

Eruption style

Quiescent

How it works

Magma feeds a fixed-volume chamber at rate Q_in. Chamber pressure builds with the fluid's bulk modulus K:

dP/dt = (K / V) · (Q_in − Q_out)

The conduit stays sealed until P exceeds the rock's fracture threshold. Once open, outflow follows Hagen–Poiseuille viscous-pipe flow:

Q_out = (π r⁴ · ΔP) / (8 · μ · L)

Exit velocity is the mean conduit velocity, v = Q_out / (πr²). As Q_out drains the chamber faster than Q_in refills it, P falls below the reseal threshold and the conduit closes again — a real fracture/reseal limit cycle, not a fixed timer. Eruption style (effusive lava vs explosive fountaining) is classified from an explosivity proxy combining gas content, viscosity and exit velocity, matching how real magmas with more dissolved gas and higher viscosity fragment more violently on decompression.

Lava / fountain particles Ash / gas plume Chamber pressure trace