Estimation of the Spouting Time by the Mathematical Model That Describes the Periodic Spouting of a Geyser Induced by Boiling

Although the mathematical model that describes the periodic spouting of a geyser induced by boiling has been proposed, a concrete analytical solution of the pause time has not been shown yet. In this paper, an analytical solution of the spouting time was obtained due to deriving the time evolution equation from the mathematical model. It can be expected that this will enable estimation of various physical quantities inside the underground of the geyser induced by boiling from comparison with the actual spouting time of the geysers.