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The region around Baekdu and the nuclear test site is represented by a 280 $\times$ 300 $\times$ 100 km domain (Fig. XXa). We adopt a two-layer structure composed of a crustal layer with density of 2700 kg/m$^{3}$ and a mantle layer of 3300 kg/m$^{3}$. The crust of the region is about 33 km thick but gets as thick as 40 km around Baekdu \cite{Hong2008}. We take seismic wave speeds inferred for the region by \citet{DUAN_2005} and \citet{ZHANG_2002}: Vs = 3.25 km/s and Vp = 5.62 km/s in crust; 4.0 and 8.0 km/s in mantle.   A magma chamber has been detected beneath Baekdu from low shear wave velocity in the depth range of 10-16 km \cite{ZHANG_2002}. Based on this observation, we assume that the magma chamber is a sphere of a 3 km radius, of which center is at 13 km depth and 120 km away to the northeast of the explosion site at the center of the domain. The density of the magma chamber is set to be 2500 kg/m$^{3}$. To represent various possible states of the magma chamber during an explosive volcanic eruption~\cite[e.g.,][]{Hong_2014}, values of Vp/Vs ratio between 1.6 and 2.0 are assigned. Vp, Vs, Vp/Vs ratio as well asimplied values of  bulk and shear modulus (K and G) and Poisson's ratio ($\nu$) for density of 2500 kg/$^{3}$  are listed in Table \ref{tab:magma_chamber_parameters}. \begin{table}   \label{tab:magma_chamber_parameters}  \begin{tabular}{ c c c c c c c } 
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