A Proposal of Boundary Condition at a Permeable Surface with Heat Discharge

Its Application to Takenoyu Geothermal Area, Kumamoto, Japan

Abstract

Heat discharge from a reservoir with a permeable surface should be considered by both mass and heat transfer processes. This paper proposes a new boundary condition on the basis of the so-called film theory; in which a liquid film is assumed to be in a thin water layer on the surface. A liquid heat transfer coefficient can be used to describe a new boundary condition. The proposed boundary condition is applied to Takenoyu geothermal area, Kumamoto, Japan in order to explain its underground thermal structure. The calculated results of heat and mass discharge and underground temperature distribution agree well with the observed ones.