Determining three-phase permeability—saturation—pressure relations from two-phase system measurements

Determining three-phase permeability—saturation—pressure relations from two-phase system measurements
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从两相系统测量确定三相渗透率-饱和度-压力关系

DOI:
10.1016/0920-4105(90)90046-6
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发表时间:
1990
影响因子:
--
通讯作者:
R. Lenhard
R. Lenhard
中科院分区:
工程技术2区
文献类型:
--
作者:
J. Parker;R. Lenhard

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建立了含空气、水和非水相液体(NAPL)的多孔介质中流体流动的数学模型。非滞后的饱和-压力关系用刻度参数函数描述,假定是多孔介质和流体对特有的刻度系数,在三个液相系统中刻度Sw(How)和ST(Ho)或在两个液相系统中刻度Sw(How)和Sw(How),其中Swand Start是水和总液体饱和度,How和How是NPL-水、空气-NAPL和空气-水毛细管压力,分别从饱和压力函数推导出流体相对渗透率的表达式。考虑了三种由两相体系测量来标定本构模型的方法:(1)直接测量空气-水、空气-NAPL和NAPL-水体系中的饱和-压力关系;(2)直接测量单个两相体系中的饱和-压力关系,根据界面张力数据估计标度系数;(3)利用非线性最优化方法对瞬变两相驱替实验进行数值反演。以对伞花烃和三氯乙烯为非水流体,对这三种方法在两种多孔介质体系中进行了评价。
A mathematical model is outlined for fluid flow in porous media containing up to three fluid phases: air, water and nonaqueous phase liquid (NAPL). Nonhysteretic saturation-pressure relations are described using a scaled parametric function, assumed to be unique to the porous medium and fluid-pair dependent scaling coefficients which scaleSw(how) andSt((hao)in three fluid-phase systems orSw(haw)in two fluid-phase systems, whereSwandStare water and total liquid saturation andhow,haoandhaware NPL-water, air-NAPL and air-water capillary pressures, respectively Expressions for fluid relative permeabilities are derived from the saturation-pressure functions using a generalized Kozeny-Carman-type analysis. Three methods are considered for calibration of the constitutive model from two-phase system measurements: (1) direct measurement of saturation-pressure relations in air-water, air-NAPL and NAPL-water systems, (2) direct measurement of saturation-pressure relations in a single two-phase system with scaling coefficients estimated from interfacial tension data and (3) numerical inversion of transient two-phase displacement experiments using a nonlinear optimization procedure. The three methods are evaluated for two porous media systems with p-cymene and trichloroethylene as the nonaqueous fluids.
DOI: 10.1029/wr023i012p02197
发表时间: 1987-12
影响因子: 5.4
作者:
R. Lenhard;J. Parker
通讯作者: R. Lenhard;J. Parker