 Triple-shock sedimentation point

For initial concentrations $a$ above $z_m$ and $2a$ below it, all three straight shocks meet when $z_m=H(1-a)/(1+a)$. The common time is $H/[u_s(1+a)]$ and height is $2aH/(1+a)$. Afterwards only a stationary deposit/clear-fluid boundary remains.