Global S&T Development Trend Analysis Platform of Resources and Environment
DOI | 10.1002/2016WR019748 |
FracFit: A robust parameter estimation tool for fractional calculus models | |
Kelly, James F.1; Bolster, Diogo2; Meerschaert, Mark M.1; Drummond, Jennifer D.3; Packman, Aaron I.4 | |
2017-03-01 | |
发表期刊 | WATER RESOURCES RESEARCH |
ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2017 |
卷号 | 53期号:3 |
文章类型 | Article |
语种 | 英语 |
国家 | USA; Spain |
英文摘要 | Anomalous transport cannot be adequately described with classical Fickian advection-dispersion equations (ADE) with constant coefficients. Rather, fractional calculus models may be used, which capture salient features of anomalous transport (e.g., skewness and power law tails). FracFit is a parameter estimation tool based on space-fractional and time-fractional models used by the hydrology community. Currently, four fractional models are supported: (1) space-fractional advection-dispersion equation (sFADE), (2) time-fractional dispersion equation with drift (TFDE), (3) fractional mobile-immobile (FMIM) equation, and (4) temporally tempered Levy motion (TTLM). Model solutions using pulse initial conditions and continuous injections are evaluated using stable distributions or subordination integrals. Parameter estimates are extracted from measured breakthrough curves (BTCs) using a weighted nonlinear least squares (WNLS) algorithm. Optimal weights for BTCs for pulse initial conditions and continuous injections are presented. Two sample applications are analyzed: (1) pulse injection BTCs in the Selke River and (2) continuous injection laboratory experiments using natural organic matter. Model parameters are compared across models and goodness-of-fit metrics are presented, facilitating model evaluation. |
英文关键词 | fractional derivative parameter estimation CTRW |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000400160500046 |
WOS关键词 | ADVECTION-DISPERSION EQUATION ; ORGANIC-MATTER TRANSPORT ; NON-FICKIAN TRANSPORT ; ANOMALOUS TRANSPORT ; LEVY MOTION ; RANDOM-WALK ; MEDIA ; HETEROGENEITY ; DIFFUSION ; COLUMNS |
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/21964 |
专题 | 资源环境科学 |
作者单位 | 1.Michigan State Univ, Dept Probabil & Stat, E Lansing, MI 48824 USA; 2.Univ Notre Dame, Dept Civil & Environm Engn & Earth Sci, South Bend, IN USA; 3.Ctr Adv Studies Blanes CEAB CSIC, Integrat Freshwater Ecol Grp, Blanes, Girona, Spain; 4.Northwestern Univ, Dept Civil & Environm Engn, Evanston, IL USA |
推荐引用方式 GB/T 7714 | Kelly, James F.,Bolster, Diogo,Meerschaert, Mark M.,et al. FracFit: A robust parameter estimation tool for fractional calculus models[J]. WATER RESOURCES RESEARCH,2017,53(3). |
APA | Kelly, James F.,Bolster, Diogo,Meerschaert, Mark M.,Drummond, Jennifer D.,&Packman, Aaron I..(2017).FracFit: A robust parameter estimation tool for fractional calculus models.WATER RESOURCES RESEARCH,53(3). |
MLA | Kelly, James F.,et al."FracFit: A robust parameter estimation tool for fractional calculus models".WATER RESOURCES RESEARCH 53.3(2017). |
条目包含的文件 | 条目无相关文件。 |
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