The capillary pressure curves from upscaling interfacial and unsaturated flows in porous layers with vertical heterogeneity

IF 3.2 3区工程技术 Q2 MECHANICS

Theoretical and Applied Mechanics Letters Pub Date : 2023-07-01 DOI:10.1016/j.taml.2023.100467

Zhong Zheng

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引用次数: 0

Abstract

We provide the capillary pressure curves $p_{c} (\bar{s})$ as a function of the effective saturation $\bar{s}$ based on the theoretical framework of upscaling unsaturated flows in vertically heterogeneous porous layers proposed recently in [1]. Based on the assumption of vertical gravitational-capillary equilibrium, the saturation distribution and profile shape of the invading fluid can be obtained by solving a nonlinear integral-differential equation. The capillary pressure curves $p_{c} (\bar{s})$ can then be constructed by systematically varying the injection rate. Together with the relative permeability curves ${\bar{k}}_{r n} (\bar{s})$ that are already obtained in [1], one can now provide quick estimates on the overall behaviours of interfacial and unsaturated flows in vertically-heterogeneous porous layers.

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纵向非均质多孔层中上尺度界面和非饱和流动的毛管压力曲线

基于文献[1]提出的纵向非均质多孔层中上尺度非饱和流动的理论框架，我们给出了毛细管压力曲线pc(s¯)作为有效饱和度s¯的函数。基于垂向重力-毛细平衡假设，通过求解非线性积分-微分方程，可以得到侵入流体的饱和度分布和剖面形状。然后，通过系统地改变注入速度，可以构造毛细管压力曲线pc(s¯)。结合文献[1]中已经获得的相对渗透率曲线k¯rn(s¯)，现在可以对垂直非均质多孔层中界面和非饱和流动的整体行为进行快速估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Theoretical and Applied Mechanics Letters MECHANICS-

CiteScore

6.20

自引率

2.90%

发文量

545

审稿时长

12 weeks

期刊介绍： An international journal devoted to rapid communications on novel and original research in the field of mechanics. TAML aims at publishing novel, cutting edge researches in theoretical, computational, and experimental mechanics. The journal provides fast publication of letter-sized articles and invited reviews within 3 months. We emphasize highlighting advances in science, engineering, and technology with originality and rapidity. Contributions include, but are not limited to, a variety of topics such as: • Aerospace and Aeronautical Engineering • Coastal and Ocean Engineering • Environment and Energy Engineering • Material and Structure Engineering • Biomedical Engineering • Mechanical and Transportation Engineering • Civil and Hydraulic Engineering Theoretical and Applied Mechanics Letters (TAML) was launched in 2011 and sponsored by Institute of Mechanics, Chinese Academy of Sciences (IMCAS) and The Chinese Society of Theoretical and Applied Mechanics (CSTAM). It is the official publication the Beijing International Center for Theoretical and Applied Mechanics (BICTAM).