Multi-physics and Multi-scale Methods for Modeling Fluid Flow Through Naturally-Fractured Vuggy Carbonate Reservoirs

Multi-physics and Multi-scale Methods for Modeling Fluid Flow Through Naturally-Fractured Vuggy Carbonate Reservoirs
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模拟自然裂缝孔洞碳酸盐岩储层流体流动的多物理场和多尺度方法

DOI:
10.2118/105378-ms
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发表时间:
2007
期刊:
The Journal of allergy and clinical immunology
影响因子:
--
通讯作者:
Yulin Ren
Yulin Ren
中科院分区:
--
文献类型:
--
作者:
P. Popov;Linfeng Bi;Y. Efendiev;R. Ewing;G. Qin;Jianglong Li;Yulin Ren

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这篇论文是在审查了作者(S)提交的摘要中包含的信息后,被SPE计划委员会选中提交的。论文内容未经石油工程师学会审核,作者(S)有权更正。所提供的材料并不一定反映石油工程师协会、其官员或成员的任何立场。在SPE会议上提交的论文要接受石油工程师协会编辑委员会的出版物审查。未经石油工程师协会书面同意,禁止出于商业目的以电子方式复制、分发或存储本文的任何部分。允许复制印刷品的限制为不超过300字的摘要;插图不得复制。摘要必须包含对论文提交地点和提交人的明显确认。摘要提出了一种模拟缝洞型碳酸盐岩油藏渗流的新方法。这种方法概括了已成功用于在地质(精细)尺度上进行油藏模拟的放大方法。通常,洞穴状多孔介质在精细尺度上用Stokes方程和Darcy方程来描述。我们建议使用基于Stokes-Brinkman方程的简化模型。通过适当选择参数,可由这些方程得到Stokes方程和Darcy方程。此外,在洞穴区和达西区之间存在破损区的情况下,Stokes-Brinkman方程允许无缝过渡。细尺度方程的升级是在齐次化理论中解决的。解决了相应的局部问题来计算有效渗透率,并将其用于野外模拟。给出了均匀和非均匀背景渗透率场的数值结果。结果表明,当背景渗透率为非均质时,粗尺度渗透率场受影响较大。这是由于连接一些洞穴的高流量通道显著改变了向上的渗透率。我们比较了由提升尺度方程得到的粗尺度压力和平均细尺度压力。计算结果吻合较好,表明所提模型具有较高的实用价值。
This paper was selected for presentation by an SPE Program Committee following review of information contained in an abstract submitted by the author(s). Contents of the paper, as presented, have not been reviewed by the Society of Petroleum Engineers and are subject to correction by the author(s). The material, as presented, does not necessarily reflect any position of the Society of Petroleum Engineers, its officers, or members. Papers presented at SPE meetings are subject to publication review by Editorial Committees of the Society of Petroleum Engineers. Electronic reproduction, distribution, or storage of any part of this paper for commercial purposes without the written consent of the Society of Petroleum Engineers is prohibited. Permission to reproduce in print is restricted to an abstract of not more than 300 words; illustrations may not be copied. The abstract must contain conspicuous acknowledgment of where and by whom the paper was presented. Abstract We present a novel approach for flow simulations through naturally-fractured vuggy carbonate reservoirs. This approach generalizes upscaling methods which have been successfully used to perform reservoir simulations on geological (fine) scales. Typically, vugular porous media is described using both Stokes and Darcy's equations at the fine-scale. We propose the use of simplified model based on Stokes-Brinkman equations. Stokes and Darcy equations can be obtained from these equations by appropriate choice of parameters. Moreover, in the presence of damaged zones between vugular regions and Darcy regions, Stokes-Brinkman equations allow a seamless transition. The upscaling of fine-scale equations is addressed within homogenization theory. Appropriate local problems are solved to compute the effective permeabilities, which are further used for the simulations on the field scale. We present numerical results for homogeneous and heterogeneous background permeability fields. Our results show that the coarse-scale permeability field is greatly affected when the background permeability is heterogeneous. This is due to the fact that the high flow channels connecting some of the vugs significantly alter the upscaled permeability. We compare the coarse-scale pressure obtained from upscaled equations with the averaged fine-scale pressure. The results are in agreement which indicates that the upscaled models are accurate for practical purposes.