1. Froehlich (2008) Peak Breach Discharge Equation:
Q_p = 0.607 · V_w^0.295 · H_w^1.24 where V_w is actual drained volume (m³) and H_w is hydraulic breach head (m). Used by the USGS and ICIMOD for glacial outburst modeling.
2. Costa (1985) Dam-Breach Envelope:
Q_p,max = 0.0181 · (V_o · H_d)^0.42 providing an upper-bound check against historical Himalayan outburst benchmarks (e.g., Dig Tsho 1985, Luggye 1999, Cirenmaco 1981).
3. Downstream Wave Routing & Attenuation:
Kinematic & Muskingum-Cunge diffusion wave approximation through steep bedrock gorges (slopes S₀ = 0.035 to 0.070):
c_k = (5/3) · v = (5/3) · (1/n) · R^(2/3) · S_0^(1/2) with peak discharge decay Q(x) = Q_p · exp(-k · x).
Internal Ice-Core Dynamics: Himalayan moraines frequently encapsulate relict glacier ice cores. Overtopping wave erosion strips the protective sub-angular debris cover, exposing the ice core to thermal thermo-erosion by flowing lake water. Thermal erosion accelerates breach growth by a factor of 3.2x compared to dry cohesionless sediment, causing sudden retrogressive slumping and catastrophic trapezoidal breach widening.
China-Nepal Early Warning Coordination (Poiqu / Bhote Koshi Corridor):