| 吴璇,沈文豪,王志华,黄隆州.基于物理界面的双重介质有限裂隙渗流模型[J].计算力学学报,2023,40(5):787~794 |
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| 基于物理界面的双重介质有限裂隙渗流模型 |
| A finite crack seepage model for dual media based on the physical interface |
| 投稿时间：2022-03-11 修订日期：2022-07-18 |
| DOI：10.7511/jslx20220311001 |
| 中文关键词: 有限裂隙 渗流模型 物理界面 裂隙岩体 连续介质力学 |
| 英文关键词:finite crack seepage model physical interface fractured rock continuum mechanics |
| 基金项目:国家自然科学基金青年基金(11902213)资助项目. |
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| 中文摘要: |
| 基于连续介质或者离散裂隙假设,含裂隙的多孔介质渗流问题有多种数学力学模型。受物理界面的启发,提出一种新的有限裂隙连续介质力学模型,可以为宏观裂隙-多孔介质内的流体输运问题等提供近似计算方案。该模型属于一类双重介质模型,将曲面上低维度的流场转化为三维空间的流场,并且与连续的多孔介质的流场耦合,在数学上表示为统一的输运控制方程和初始边界条件。这个近似模型为不方便实施高维度-低维度耦合求解的数值计算方法提供新的模拟思路,如光滑粒子流体动力学等无网格粒子类方法。 |
| 英文摘要: |
| There are various mathematical and mechanical models,based on the continuum mechanics or discrete cracks,for the flow through fractured porous media.Inspired by the physical interface,a new finite crack continuum mechanics model is proposed,which can be used for macroscopic pore-fracture-porous media.As a dual porosity/permeability model,this model converts the low-dimensional fluid flow on curves and surfaces into a three-dimensional flow field.The three-dimensional flow field is coupled with that of the porous media,and a universal mathematical model is built,including governing transport equations and initial and boundary conditions.This approximate model provides a novel idea for numerical calculation methods,such as meshless particle-based methods (e. g. ,smoothed particle hydrodynamics),that are inconvenient to solve multiple-dimension problems. |
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