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The present remedy of steady-state propagation has some limitations when it is utilized to study magma transportation via dyke propagation towards the area of Earth. Accozzaglia flow and dyke propagation are generally transient processes during which the dyke propagation velocity is time dependent. Fag propagation may also be damaged simply by magma solidification (see e. g. Lister 1994a, b; Rubin 1995b; Bolchover & Lister 1999 ) which is not considered in this study. Moreover, a complete understanding of dyke propagation needs 3-D analyses. The present solution may possibly be approximately applicable to some certain stages of fag propagation during which in turn the density gradation characteristics and overpressure reduction behaviour grant steady-state propagation.
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Fig. 2 shows the stress intensity aspect KI as a function of overpressure ΔP and fag length a. The dyke propagation velocity is taken because V = zero. 5 m s−1. The density succession is not regarded in this circumstance, i. e. in = 0 in eq. (19) This can be viewed from the figure that for a given overpressure ΔP, KI increases with increasing dyke duration. The increasing anxiety intensity factor indicates that the steady-state propagation assumption is usually violated. To keep a constant KI intended for steady-state propagation, the overpressure ΔP will have to lower with dyke propagation. Generally speaking, the overpressure ΔP can decrease with fag propagation if magma supply to the magma chamber from the partial smelted region can certainly not compensate the magma loss transported to the propagating fag. It is thus possible for KI to remain approximately frequent in the event the overpressure ΔP and dyke size adhere to specific romantic relationship.