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Application of a fractional advection‐dispersion equation
Open accessAbstract
A transport equation that uses fractional‐order dispersion derivatives has fundamental solutions that are Lévy's α‐stable densities. These densities represent plumes that spread proportional to time 1/α, have heavy tails, and incorporate any degree of skewness. The equation is parsimonious since the dispersion parameter is not a function of time or distance. The scaling behavior of plumes that undergo Lévy motion is accounted for by the fractional derivative. A laboratory tracer test is described by a dispersion term of order 1.55, while the Cape Cod bromide plume is modeled by an equation of order 1.65 to 1.8.
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Cites
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fPINNs: Fractional Physics-Informed Neural Networks
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Physically based modeling in catchment hydrology at 50: Survey and outlook
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Expanding the role of reactive transport models in critical zone processes
Li, L., Maher, K., Navarre-Sitchler, A., Druhan, J., Meile, C., Lawrence, C., Moore, J., Perdrial, J., Sullivan, P., Thompson, A., et al. (2017) · Earth-Science Reviews · doi:10.1016/j.earscirev.2016.09.001 · Cited by 300
Metadata
- Authors
- Benson, D. A., Wheatcraft, S. W., & Meerschaert, M. M.
- Venue
- Water Resources Research
- Publisher
- American Geophysical Union (AGU)
- Published
- 2000-02
- Volume
- 36
- Issue
- 6
- Pages
- 1403-1412
- ISSN
- 0043-1397 (ISSN-L)
- 1944-7973
- OpenAlex
- W2099111135
- Cited by
- 1,301
- References
- 19
- FWCI
- 20.01
- Type
- journal article
- Language
- en
- Open access
- bronze
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
