Non-darcian behavior of two-phase flow in a vertical fracture with tortuous

IF 6.9 1区工程技术 Q1 ENGINEERING, GEOLOGICAL

Engineering Geology Pub Date : 2025-04-14 DOI:10.1016/j.enggeo.2025.108072

Jingping Wang , Jiazhong Qian , Lei Ma , Yunhai Fang , Haichun Ma , Hongguang Sun

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Abstract

Research on non-darcian flow behavior in fractured media is fundamental to understanding the governing laws flows in natural fractured aquifers, which is especially relevant in geothermal reservoir modeling. Although the Darcy model is utilized to describe slow flows in these geometries, quantitative descriptions of two-phase flows involving non-darcian effects in rough vertical fractures have received little attention. In this study, the three-dimensional Navier-Stokes equation coupled with Cahn-Hilliard model were solved for the immiscible gas-water system with the fracture geometry satisfies the Gaussian distribution under different piezometric boundary conditions. We report significant non-darcian flow behavior for Reynolds numbers between 998 and 26,930, suggesting that the quadratic-velocity model explains Darcy deviation for high specific water discharges q_w. Additionally, we found that the water saturation index S_w had a nonlinear relationship with q_w, which allowed the definition of two regimes in which water displaced the gas phase. These findings help to modify the current methodologies for estimating the relative permeability of two-phase fluid system, allowing for the inclusion of non-Darcy effects in such estimations.

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弯曲垂直裂缝中两相流的非达西行为

研究裂缝性介质中的非达西渗流行为是理解天然裂缝性含水层渗流规律的基础，在地热储层建模中尤为重要。尽管Darcy模型用于描述这些几何形状中的缓慢流动，但在粗糙的垂直裂缝中，涉及非达西效应的两相流动的定量描述却很少受到关注。本文求解了裂缝几何形状满足高斯分布的非混相气水体系在不同压力边界条件下的三维Navier-Stokes方程和Cahn-Hilliard模型。我们报告了雷诺数在998和26,930之间的显著非达西流动行为，表明二次速度模型解释了高比水排放qw的达西偏差。此外，我们发现水饱和度指数Sw与qw具有非线性关系，这允许定义水取代气相的两种状态。这些发现有助于改进目前估算两相流体体系相对渗透率的方法，允许在此类估算中包含非达西效应。

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

Engineering Geology 地学-地球科学综合

CiteScore

13.70

自引率

12.20%

发文量

327

审稿时长

5.6 months

期刊介绍： Engineering Geology, an international interdisciplinary journal, serves as a bridge between earth sciences and engineering, focusing on geological and geotechnical engineering. It welcomes studies with relevance to engineering, environmental concerns, and safety, catering to engineering geologists with backgrounds in geology or civil/mining engineering. Topics include applied geomorphology, structural geology, geophysics, geochemistry, environmental geology, hydrogeology, land use planning, natural hazards, remote sensing, soil and rock mechanics, and applied geotechnical engineering. The journal provides a platform for research at the intersection of geology and engineering disciplines.