An Integrally Embedded Discrete Fracture Model for Flow Simulation in Anisotropic Formations

An Integrally Embedded Discrete Fracture Model for Flow Simulation in Anisotropic Formations
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用于各向异性地层流动模拟的整体嵌入式离散裂缝模型

DOI:
10.3390/en13123070
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发表时间:
2020-06
期刊:
影响因子:
3.2
通讯作者:
Yu-Shu Wu
Yu-Shu Wu
中科院分区:
工程技术4区
文献类型:
--
作者:
Renjie Shao;Yuan Di;Dawei Wu;Yu-Shu Wu

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嵌入式离散裂缝模型(EDFM)在不同的流动模拟模型中,在效率和精度之间取得了很好的平衡。在EDFM中,无法单独表征的微观尺度断裂需要均匀化到基质中,这可能会给基质带来各向异性。然而,简化的基质-裂缝流体交换假设使得EDFM难以解决各向异性流动。本文提出了一种适用于各向异性地层的整体嵌入式离散裂缝模型。各向异性矩阵采用结构化网格,裂缝单元由一组连通的裂缝组成,整体嵌入到矩阵网格中。推导了用渗透率张量表示的各向异性地层中点源压力分布的解析表达式,并将其应用于基质裂缝导水率的计算。通过两个算例分析,与解析解或精细网格结果进行了比较,验证了iEDFM在处理各向异性地层时的优势和适用性。此外,通过一个两相流实例,分析了基质各向异性对模拟结果的影响,验证了iEDFM用于处理具有复杂裂缝网络的各向异性地层的可行性。
The embedded discrete fracture model (EDFM), among different flow simulation models, achieves a good balance between efficiency and accuracy. In the EDFM, micro-scale fractures that cannot be characterized individually need to be homogenized into the matrix, which may bring anisotropy into the matrix. However, the simplified matrix–fracture fluid exchange assumption makes it difficult for EDFM to address the anisotropic flow. In this paper, an integrally embedded discrete fracture model (iEDFM) suitable for anisotropic formations is proposed. Structured mesh is employed for the anisotropic matrix, and the fracture element, which consists of a group of connected fractures, is integrally embedded in the matrix grid. An analytic pressure distribution is derived for the point source in anisotropic formation expressed by permeability tensor, and applied to the matrix–fracture transmissibility calculation. Two case studies were conducted and compared with the analytic solution or fine grid result to demonstrate the advantage and applicability of iEDFM to address anisotropic formation. In addition, a two-phase flow example with a reported dataset was studied to analyze the effect of the matrix anisotropy on the simulation result, which also showed the feasibility of iEDFM to address anisotropic formation with complex fracture networks.
一种改进的基于投影的嵌入式离散裂缝模型(pEDFM),用于裂缝性储层的实用和准确的数值模拟
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