Global S&T Development Trend Analysis Platform of Resources and Environment
DOI | 10.1002/2016WR019668 |
Space-time duality for the fractional advection-dispersion equation | |
Kelly, James F.; Meerschaert, Mark M. | |
2017-04-01 | |
发表期刊 | WATER RESOURCES RESEARCH |
ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2017 |
卷号 | 53期号:4 |
文章类型 | Article |
语种 | 英语 |
国家 | USA |
英文摘要 | The fractional advection-dispersion equation replaces the second spatial derivative in the usual advection-dispersion equation with a fractional derivative in the spatial variable. It was first applied to tracer tests in underground aquifers, and later to tracer tests in rivers. An alternative model replaces the first time derivative with a fractional derivative in time. Previous work has shown that both models provide a reasonable fit to breakthrough curves in rivers, which has led to a controversy regarding the physically appropriate fractional model. This paper shows that the relevant space-fractional model is mathematically equivalent to the corresponding time-fractional model, thus resolving the controversy. |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000403682600052 |
WOS关键词 | LIMIT-THEOREMS ; TRANSPORT |
WOS类目 | Environmental Sciences ; Limnology ; Water Resources |
WOS研究方向 | Environmental Sciences & Ecology ; Marine & Freshwater Biology ; Water Resources |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/21314 |
专题 | 资源环境科学 |
作者单位 | Michigan State Univ, Dept Stat & Probabil, E Lansing, MI 48824 USA |
推荐引用方式 GB/T 7714 | Kelly, James F.,Meerschaert, Mark M.. Space-time duality for the fractional advection-dispersion equation[J]. WATER RESOURCES RESEARCH,2017,53(4). |
APA | Kelly, James F.,&Meerschaert, Mark M..(2017).Space-time duality for the fractional advection-dispersion equation.WATER RESOURCES RESEARCH,53(4). |
MLA | Kelly, James F.,et al."Space-time duality for the fractional advection-dispersion equation".WATER RESOURCES RESEARCH 53.4(2017). |
条目包含的文件 | 条目无相关文件。 |
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