Enriched EFG Method for Hydraulic Fracture Modeling in Multiphase Porous Media

IF 3.4 2区工程技术 Q2 ENGINEERING, GEOLOGICAL

International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-12-20 DOI:10.1002/nag.3919

Hasan Ghasemzadeh, Mohammad Ali Iranmanesh, Behnam Bagheri Charmkhoran

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引用次数: 0

Abstract

The numerical investigation in this study focuses on the propagation of hydraulically driven fractures in deformable porous media containing two fluid phases. The fully coupled hydro-mechanical governing equations are discretized and solved using the extended element-free Galerkin method. The wetting fluid is injected into the initial crack. The pores are filled with both wetting and non-wetting fluid phases. Essential boundary conditions are enforced using the penalty method. To model the discontinuities in field variables, the extrinsic enrichment strategy is employed. Ridge and Heaviside enrichment functions are utilized to introduce weak and strong discontinuities, respectively. The nonlinear behavior in front of the crack tip is defined by means of a cohesive crack model. Continuity equations for wetting and non-wetting fluids through the fracture domain are expressed using Darcy's law and cubic law. The coupling terms of fluids are considered in accordance with their mass transfer among the crack and the surrounding domain, simulating the fluid leak-off phenomenon and the fluid lag zone. The results demonstrate the success of the proposed numerical framework in simulating the intricate aspects of the hydraulic fracturing process. Sensitivity analysis is performed with varying domain permeabilities and wetting fluid viscosities to elucidate their effects on different aspects of hydraulic fracture.

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多相多孔介质水力裂缝建模的富EFG方法

本文的数值研究重点是在含两相流体的可变形多孔介质中水力驱动裂缝的扩展。采用扩展的无单元伽辽金方法对完全耦合的水力控制方程进行离散化和求解。在初始裂缝中注入润湿液。孔隙充满了湿润和非湿润流体相。必要的边界条件是用惩罚方法强制执行的。为了模拟场变量的不连续，采用了外在富集策略。利用Ridge和Heaviside富集函数分别引入弱不连续面和强不连续面。采用内聚裂纹模型定义了裂纹尖端前的非线性行为。用达西定律和三次定律表示了裂缝域中润湿流体和非润湿流体的连续性方程。根据流体在裂纹和周围区域之间的传质考虑流体的耦合项，模拟流体泄漏现象和流体滞后区。结果表明，所提出的数值框架在模拟水力压裂过程的复杂方面是成功的。通过对不同区域渗透率和润湿液粘度的敏感性分析，阐明了它们对水力压裂不同方面的影响。

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

International Journal for Numerical and Analytical Methods in Geomechanics 工程技术-材料科学：综合

CiteScore

6.40

自引率

12.50%

发文量

160

审稿时长

9 months

期刊介绍： The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.