Fig. 5 Non-dimensional phase velocity of solitary magma waves in 1D and 2D. The analytical solutions are taken from Barcilon and Lovera (1989). The symbols give numerical results which assumed the CBA. The scaling of the phase velocity is according to Barcilon and Lovera (1989), to transform to the scaling law used here, the velocities have to be multiplied with  0n-1 Rm/Rtn. The  porosity amplitude is defined as  may/ 0, where  0 is the background porosity.