The Flow Analysis of Fiuids in Fractal Reservoir with the Fractional Derivative
文献类型：期刊论文
| 作者 | Tian J; Tong DK |
| 刊名 | JOURNAL OF HYDRODYNAMICS
 |
| 出版日期 | 2006 |
| 卷号 | 18期号:3页码:287-293 |
| 通讯作者邮箱 | tongdk@mail.hdpu.edu.cn |
| 关键词 | fractional calculus porous media fractal integral transform exact solution |
| ISSN号 | 1001-6058 |
| 产权排序 | [Tian Ji] Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China; [Tian Ji] Gudong Petr Factory Shengli Petr Adm, Dongying 256504, Peoples R China; [Tong Deng-ke] China Univ Petr, Dept Appl Math, Dongying 257061, Peoples R China |
| 通讯作者 | Tian, J (reprint author), Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China. |
| 中文摘要 | In this paper, fractional order derivative, fractal dimension and spectral dimension are introduced into the seepage flow mechanics to establish the flow models of fluids in fractal reservoirs with the fractional derivative. The flow characteristics of fluids through a fractal reservoir with the fractional order derivative are studied by using the finite integral transform, the discrete Laplace transform of sequential fractional derivatives and the generalized Mittag-Leffler function. Exact solutions are obtained for arbitrary fractional order derivative. The long-time and short-time asymptotic solutions for an infinite formation are also obtained. The pressure transient behavior of fluids flow through an infinite fractal reservoir is studied by using the Stehfest's inversion method of the numerical Laplace transform. It shows that the order of the fractional derivative affect the whole pressure behavior, particularly, the effect of pressure behavior of the early-time stage is larger The new type flow model of fluid in fractal reservoir with fractional derivative is provided a new mathematical model for studying the seepage mechanics of fluid in fractal porous media. |
| 类目[WOS] | Mechanics |
| 研究领域[WOS] | Mechanics |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000208248300005 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/58456]  |
| 专题 | 力学研究所_力学所知识产出(1956-2008) |
| 推荐引用方式 GB/T 7714 | Tian J,Tong DK. The Flow Analysis of Fiuids in Fractal Reservoir with the Fractional Derivative[J]. JOURNAL OF HYDRODYNAMICS,2006,18(3):287-293. |
| APA | Tian J,&Tong DK.(2006).The Flow Analysis of Fiuids in Fractal Reservoir with the Fractional Derivative.JOURNAL OF HYDRODYNAMICS,18(3),287-293. |
| MLA | Tian J,et al."The Flow Analysis of Fiuids in Fractal Reservoir with the Fractional Derivative".JOURNAL OF HYDRODYNAMICS 18.3(2006):287-293. |
入库方式： OAI收割
来源：力学研究所
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