This paper discusses physical phenomena of volcanic eruptions and magma ascent on the basis of a model of magma plumbing system where the conduit flow dynamics and the magma chamber processes including the conditions of start and end of an eruption are taken into consideration. According to the conduit flow models, the relationship of magma discharge rate, M, and the magma chamber pressure, p
ch, (“the M-p
ch relationship”) during explosive eruptions is controlled by the pressure at which the conduit flow changes from a bubbly flow to a gas-pyroclast flow (“the fragmentation pressure”). The fragmentation pressure, in turn, depends on the mechanisms of gas escape and magma fragmentation. The M-p
ch relationship during non-explosive (effusive) eruptions depends on the density change due to gas-escape process and the viscosity change due to crystallization during magma ascent in the conduit. The models of magma chamber processes, on the other hand, suggest that the M-p
ch relationship strongly depends on the effective compressibility of magma chamber and the volume of magma chamber. The effective compressibility of the magma chamber drastically increases when the magma contains gas phase, and hence, it depends on water content of magma and pressure. The diverse features of eruption sequence result from the coupled effects of the conduit flow dynamics and the magma chamber processes. For example, the condition of start and end of an eruption depends on how the conduit flow is driven by the magma chamber pressure, as well as the mechanical stability of magma chamber. Some key parameters of the conduit flow dynamics are determined by the long-term physical processes of magma chamber (e.g., crystallization and differentiation of magma) during the repose period. In order to establish a method to forecast eruption sequences, forward and inverse models of the magma plumbing system are formulated. Because of the above coupled effects of conduit flow dynamics and magma chamber processes, the forward model for the magma plumbing system shows complex behavior of eruption sequences (i.e., various trajectories of the M-p
ch relationship). Such complex behavior, as well as the lack of knowledge of the mechanical stability of magma chamber and the effects of deformation of conduit, makes it difficult to forecast eruption sequence on the basis of the forward model. The difficulty also comes from the fact that the magma chamber volume and the magma chamber pressure cannot be independently determined by the inverse model based on the geodetic and geological observations. Although, because of these difficulties, the model of magma plumbing system is not immediately useful for the volcanic disaster prevention, it certainly provides a frame-work to integrate different volcanological approaches for understanding of the diversity of eruption sequence.
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