| 张庆福,黄朝琴,姚军,王月英,李阳.多尺度嵌入式离散裂缝模型模拟方法[J].计算力学学报,2018,35(4):507~513 |
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| 多尺度嵌入式离散裂缝模型模拟方法 |
| Multiscale embedded discrete fracture modeling method |
| 投稿时间：2017-02-11 修订日期：2017-05-25 |
| DOI：10.7511/jslx20170211002 |
| 中文关键词: 多尺度模拟有限差分法 裂缝性油藏 嵌入式离散裂缝模型 数值模拟 渗流 |
| 英文关键词:multiscale mimetic finite difference method fractured reservior embedded discrete fracture model reservoir numerical simulation porous flow |
| 基金项目:国家自然科学基金（51404292）；中央高校基本科研业务费专项资金（17CX06007）；国家科技重大专项（2016ZX05060-010）资助项目. |
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| 中文摘要: |
| 天然裂缝性油藏和人工压裂油藏内裂缝形态多样，分布复杂，传统的离散裂缝模型将裂缝作为基岩网格的边界，采用非结构化网格进行网格划分，其划分过程复杂，计算量大。嵌入式离散裂缝模型划分网格时不需要考虑油藏内的裂缝形态，只需对基岩系统进行简单的网格剖分，可以大大降低网格划分的复杂度，从而提高计算效率。然而，在油藏级别的数值模拟和人工压裂裂缝下的产能分析中，仍然存在计算量巨大、模拟时间过长的问题。本文提出嵌入式离散裂缝模型的多尺度数值计算格式，使用多尺度模拟有限差分法研究嵌入式离散裂缝模型渗流问题。通过在粗网格上求解局部流动问题计算多尺度基函数，多尺度基函数可以捕捉裂缝与基岩间的相互关系，反映单元内的非均质性，因此该方法既有传统尺度升级法的计算效率，又可以保证计算精度，数值结果表明这是一种有效的裂缝性油藏数值模拟方法。 |
| 英文摘要: |
| The fracture system in naturally fractured reservoir has a complicated distribution.Traditional discrete fracture model is based on unstructured grid generation technique.This means the fractures are treated as inner boundaries of the matrix,which will lead to very complicated grid generation process.The embedded discrete fracture model (EDFM) directly embed fracture network into the matrix structured grid system,that is,the matrix system generate grids separately,and fracture part generate grids according to the intersection of fracture and matrix grids.So this model avoids the complex unstructured grid subdivision process and is more efficient and practical than the traditional DFM.However,in engineering practice,reservoir model may contain several millions cells and the direct numerical simulation of EDFM based on traditional numerical methods is difficult.This work presents a multiscale mimetic finite difference method for reservoir numerical simulation in context of embedded discrete fracture model.This method compute multiscale basis functions by solving local flow equations.Fine scale information is captured through basis functions.So this scheme can work as efficient as upscaling method and guarantee the accuracy of the calculation.The numerical results show that this method is an accurate and efficient method simulation of porous flow in fractured reservoirs. |
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