A Similarity Solution for Oil Lens Redistribution Including Capillary Forces and Oil Entrapment
A Similarity Solution for Oil Lens Redistribution Including Capillary Forces and Oil Entrapment
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包括毛细管力和油截留在内的油透镜体重新分布的相似解决方案
DOI：
10.1023/a:1006530906602
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发表时间：
1997
影响因子：
2.7
通讯作者：
S. Zee
中科院分区：
文献类型：
--
作者：
M. V. Dijke;S. Zee
本文用多相流模型描述了LNAPL透镜（油）在潜水面的再分布，着重讨论了水对油的截留作用。在垂直毛细力和重力平衡的假设下分析了流动过程。垂直积分产生显式函数，该函数一方面逼近单位横向面积自由油体积与垂直平均石油相对渗透率之间的关系，另一方面逼近两相或三相区之间界面的垂直位置。单位横向面积的圈闭油体积和自由油体积之间的线性关系近似于圈闭油饱和度的纵向积分非线性表达式。由此产生的微分方程承认一个相似的解决方案，描述了自由油的横向扩展和困油的数量和位置。与说明性的数值计算，这是基于在一个二维平面或轴对称域的非约化流动模型的比较表明，分析解决方案提供了一个很好的近似的自由油分布在所有以后的时间。
Redistribution of a LNAPL lens (oil) at the phreatic surface is described using a multi-phase flow model, with emphasis on the effect of oil entrapment by water. The flow process is analyzed under the assumption that the vertical capillary and gravitational forces balance. Vertical integration leads to explicit functions which approximate the relations between the free oil volume per unit lateral area and the vertically averaged oil relative permeability on the one hand and the vertical position of the interface between zones with either two or three phases on the other hand. A linear relation between the trapped and free oil volume per unit lateral area approximates the vertically integrated nonlinear expression for the trapped oil saturation. The resulting differential equation admits a similarity solution describing the lateral spreading of free oil and the amount and location of trapped oil. Comparison with illustrative numerical computations, which are based on the nonreduced flow model in a two-dimensional planar or axisymmetric domain, shows that the analytical solution provides a good approximation of the free oil distribution at all later times.
影响因子：
5.4
作者：
R. Lenhard;J. Parker
通讯作者：
R. Lenhard;J. Parker