Numerical homogenization of well singularities in the flow transport through heterogeneous porous media
文献类型：期刊论文
| 作者 | Chen, ZM ; Yue, XY
|
| 刊名 | MULTISCALE MODELING & SIMULATION
 |
| 出版日期 | 2003 |
| 卷号 | 1期号:2页码:260-303 |
| 关键词 | numerical homogenization well singularity heterogeneous porous media |
| ISSN号 | 1540-3459 |
| 英文摘要 | We consider the steady flow transport through highly heterogeneous porous media driven by extraction wells. We develop a new upscaling technique which lumps the small-scale details of the medium property into a few representative macroscopic parameters on a coarse scale that preserve the large-scale behavior of the medium and are more appropriate for simulations. The method is based on the recently introduced oversampling multiscale finite element method and the introduction of new base functions that locally resolve the well singularities. The modeling error which reduces the original problem having wells into problems with Dirac sources is carefully analyzed. We also provide a detailed multiscale convergence analysis of the method under the assumption that the oscillating coefficients are locally periodic. While such a simplifying assumption is not required by our method, it allows us to use homogenization theory to obtain the asymptotic structure of the solutions. New homogenization results for Green functions are derived. A new convergent algorithm approximating Green functions in the vicinity of singularities is proposed which extends the well-known Peaceman technique in the engineering literature. Numerical experiments are carried out for flow transport in both periodic and randomly generated log-normal permeabilities to demonstrate the efficiency and accuracy of the proposed method. |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000221348200005 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18658]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Chen, ZM |
| 作者单位 | Chinese Acad Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, ZM,Yue, XY. Numerical homogenization of well singularities in the flow transport through heterogeneous porous media[J]. MULTISCALE MODELING & SIMULATION,2003,1(2):260-303. |
| APA | Chen, ZM,&Yue, XY.(2003).Numerical homogenization of well singularities in the flow transport through heterogeneous porous media.MULTISCALE MODELING & SIMULATION,1(2),260-303. |
| MLA | Chen, ZM,et al."Numerical homogenization of well singularities in the flow transport through heterogeneous porous media".MULTISCALE MODELING & SIMULATION 1.2(2003):260-303. |
入库方式： OAI收割
来源：数学与系统科学研究院
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