The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Modeling Nonequilibrium Flow and Transport Processes Using HYDRUS
Open accessAbstract
Accurate process‐based modeling of nonequilibrium water flow and solute transport remains a major challenge in vadose zone hydrology. Our objective here was to describe a wide range of nonequilibrium flow and transport modeling approaches available within the latest version of the HYDRUS‐1D software package. The formulations range from classical models simulating uniform flow and transport, to relatively traditional mobile‐immobile water physical and two‐site chemical nonequilibrium models, to more complex dual‐permeability models that consider both physical and chemical nonequilibrium. The models are divided into three groups: (i) physical nonequilibrium transport models, (ii) chemical nonequilibrium transport models, and (iii) physical and chemical nonequilibrium transport models. Physical nonequilibrium models include the Mobile‐Immobile Water Model, Dual‐Porosity Model, Dual‐Permeability Model, and Dual‐Permeability Model with Immobile Water. Chemical nonequilibrium models include the One Kinetic Site Model, the Two‐Site Model, and the Two Kinetic Sites Model. Finally, physical and chemical nonequilibrium transport models include the Dual‐Porosity Model with One Kinetic Site and the Dual‐Permeability Model with Two‐Site Sorption. Example calculations using the different types of nonequilibrium models are presented. Implications for the formulation of the inverse problem are also discussed. The many different models that have been developed over the years for nonequilibrium flow and transport reflect the multitude of often simultaneous processes that can govern nonequilibrium and preferential flow at the field scale.
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Cites
A Closed‐form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils
van Genuchten, M. T. (1980) · Soil Science Society of America Journal · doi:10.2136/sssaj1980.03615995004400050002x · Cited by 27,578
Hydraulic properties of porous media
Brooks, R. H., & Corey, A. T. (1963) · Digital Collections of Colorado (Colorado State University) · Cited by 5,509
Mass Transfer Studies in Sorbing Porous Media I. Analytical Solutions
van Genuchten, M. T., & Wierenga, P. J. (1976) · Soil Science Society of America Journal · doi:10.2136/sssaj1976.03615995004000040011x · Cited by 1,569
Self-citationGerke, H. H., & van Genuchten, M. T. (1993) · Water Resources Research · doi:10.1029/92wr02339 · Cited by 1,247
Self-citationHydraulic conductivity estimation for soils with heterogeneous pore structure
Durner, W. (1994) · Water Resources Research · doi:10.1029/93wr02676 · Cited by 1,175
Šimůnek, J., Jarvis, N. J., van Genuchten, M. T., & Gärdenäs, A. (2003) · Journal of Hydrology · doi:10.1016/s0022-1694(02)00252-4 · Cited by 982
Self-citationTOUGH2: A general-purpose numerical simulator for multiphase fluid and heat flow
Pruess, K. (1991) · doi:10.2172/5212064 · Cited by 774
Lognormal Distribution Model for Unsaturated Soil Hydraulic Properties
Kosugi, K. (1996) · Water Resources Research · doi:10.1029/96wr01776 · Cited by 744
van Genuchten, M. T., & Wagenet, R. J. (1989) · Soil Science Society of America Journal · doi:10.2136/sssaj1989.03615995005300050001x · Cited by 605
Evaluation of a first‐order water transfer term for variably saturated dual‐porosity flow models
Gerke, H. H., & van Genuchten, M. T. (1993) · Water Resources Research · doi:10.1029/92wr02467 · Cited by 363
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Macropores and water flow in soils revisited: REVIEW
Beven, K., & Germann, P. (2013) · Water Resources Research · doi:10.1002/wrcr.20156 · Cited by 916
Towards a comprehensive assessment of model structural adequacy
Gupta, H. V., Clark, M. P., Vrugt, J. A., Abramowitz, G., & Ye, M. (2012) · Water Resources Research · doi:10.1029/2011wr011044 · Cited by 466
Kameyama, K., Miyamoto, T., Shiono, T., & Shinogi, Y. (2012) · Journal of Environmental Quality · doi:10.2134/jeq2010.0453 · Cited by 352
Stults, J. F., Choi, Y. J., Schaefer, C. E., Illangasekare, T. H., & Higgins, C. P. (2022) · Environmental Science & Technology · doi:10.1021/acs.est.2c00819 · Cited by 46
Metadata
- Authors
- Šimůnek, J., & van Genuchten, M. T.
- Venue
- Vadose Zone Journal
- Publisher
- Wiley
- Published
- 2008-05
- Volume
- 7
- Issue
- 2
- Pages
- 782-797
- ISSN
- 1539-1663 (ISSN-L)
- OpenAlex
- W2169915351
- Cited by
- 632
- References
- 23
- FWCI
- 69.89
- Type
- journal article
- Language
- en
- Open access
- hybrid
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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.