日本地 熱学 会 誌 第14巻 第4号(1992) 323頁 ～339頁 Journal of the Geothermal Research Society of Japan Vol. 14, No. 4(1992) P.323-P.339 平均飽 和率 と相対浸透率 との相関式 に関す る一考察 新堀一 ・千 田 佶 (平成4年1月6日 受 付,平 成4年4月2日 受 理) A Consideration on correlation equation between average saturaion and relative permeabilities Yuichi NIIBORI. and Tadashi CHIDA Abstract This paper describes a relationship between average saturation and relative permeabilities of which values are estimated by using a probability density function of saturation . The authors have already proposed the estimation method and discussed the relative permeabilities in a porous medi- um with saturation distribution. In the result, the relative permeabilities depend not only on average saturation, but also on the standard deviation and the skewness . However, it is difficult to estimate their detail values in analyses of two-phase flow in a geothermal reservoir . In this paper, the relative permeability of gas-phase is calculated for each average saturation , each standard deviation, and each skewness, under an assumption that ralative permeability of liquid- phase is proportional to second-or third-power of average saturation in a porous medium with satu- ration distribution. The calculations indicate the upper limit and the lower limit values of the rela- tive permeability of gas-phase in the relation to the average saturation . Also, this paper proposes the approximation equations to express the relative permeabilities. These equations successfully describe effects of the saturation distribution on heat flow rate in a porous medium . 1.緒 言 貯留層内の多相流れを解析するためには相対浸透率と飽和率との相関関係を知る必 要 が あ る (Amyx et al., 1960, p.177, Aziz and Settari, 1979, p.30, Bear and Bachmat, 1991, p. *東北大学工学 部 〒980仙 台市青葉区荒巻字青葉 Faculty of Engineering, Tohoku Univ. Aoba-ku, Sendai, 980