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EXPLANATIONS OF SPOUTING DYNAMICS OF A
GEYSER (PERIODIC BUBBLING SPRING) AND
ESTIMATION OF PARAMETERS UNDER IT BASED ON A
COMBINED MODEL COMBINING THE MATHEMATICAL
MODEL (A STATIC MODEL) AND THE IMPROVED
DYNAMICAL MODEL OF ONE
HIROYUKI KAGAMI
Department of Preschool Education, Nagoya College
48 Takeji, Sakae-cho, Toyoake, Aichi 470-1193, Japan
kagami@nagoyacollege.ac.jp
We have proposed a mathematical model (a static model), a dynamical model
and a modified dynamical model of a geyser (a periodic bubbling spring) based
on observation of Hirogawara geyser (Yamagata, Japan) and model experi-
ments of the geyser. In this paper, we introduce a combined model combin-
ing the mathematical model and the modified dynamical model and report
estimation of various parameters under Kibedani geyser based on comparison
between results of simulation of this combined model and those of observation
of Kibedani geyser. The estimation of parameters through the combined model
make more reliable one.
1. Introduction
We have proposed a mathematical model, 1 a dynamical model 2 and a mod-
ified dynamical model of a geyser (a periodic bubbling spring) 3 , 4 based on
observation of Hirogawara geyser (Yamagata, Japan) 5 and model exper-
iments of the geyser. 1 Numerical simulations of the modified dynamical
model reappear dynamics of spouting of geysers (periodic bubbling springs)
and it becomes possible that parameters (surface tension on the lower inter-
face between water and gas, volume of the underground space, depth of
spouting hole and so on) under a geyser are estimated due to compari-
son between results of simulation and those of observation. Then we have
reported trials that we compared results of numerical simulation with those
of observation of Hirogawara geyser or Kibedani geyser (Shimane, Japan)
and estimated parameters under Hirogawara geyser or Kibedani geyser due
to the comparison. 6 , 7
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