Knowledge Management System of Institue of Mechanics, CAS
| The Flow Analysis of Fiuids in Fractal Reservoir with the Fractional Derivative | |
| Tian J; Tong DK; Tian, J (reprint author), Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China. | |
| Source Publication | JOURNAL OF HYDRODYNAMICS
 |
| 2006 | |
| Volume | 18Issue:3Pages:287-293 |
| ISSN | 1001-6058 |
| Abstract | 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. |
| Keyword | Fractional Calculus Porous Media Fractal Integral Transform Exact Solution |
| DOI | 10.1016/S1001-6058(06)60005-X |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:000208248300005 |
| WOS Research Area | Mechanics |
| WOS Subject | Mechanics |
| Funding Organization | China National 973 Program [2002CB211708] ; Natural Science Foundation of Shandong Province [Y2003F01] |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/58456 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | Tian, J (reprint author), Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China. |
| Recommended Citation GB/T 7714 | Tian J,Tong DK,Tian, J . 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,&Tian, J .(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. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| JourArSuppl2016-170.（143KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment