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
复制标题
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:
影响因子:
--
通讯作者:
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
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.