Mixed formulation for an easy and robust numerical computation of sorptivity Article Swipe
Laurent Lassabatère
,
Pierre‐Emmanuel Peyneau
,
Deniz Yılmaz
,
Joseph Alexander Paul Pollacco
,
Jesús Fernández‐Gálvez
,
Borja Latorre
,
David Moret‐Fernández
,
Simone Di Prima
,
Mehdi Rahmati
,
Ryan D. Stewart
,
Majdi Abou Najm
,
Claude Hammecker
,
Rafaël Angulo-Jaramillo
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.5194/hess-27-895-2023
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.5194/hess-27-895-2023
Sorptivity is one of the most important parameters for the quantification of water infiltration into soils. Parlange (1975) proposed a specific formulation to derive sorptivity as a function of the soil water retention and hydraulic conductivity functions, as well as initial and final soil water contents. However, this formulation requires the integration of a function involving hydraulic diffusivity, which may be undefined or present numerical difficulties that cause numerical misestimations. In this study, we propose a mixed formulation that scales sorptivity and splits the integrals into two parts: the first term involves the scaled degree of saturation, while the second involves the scaled water pressure head. The new mixed formulation is shown to be robust and well-suited to any type of hydraulic function – even with infinite hydraulic diffusivity or positive air-entry water pressure heads – and any boundary condition, including infinite initial water pressure head, h→-∞. Lastly, we show the benefits of using the proposed formulation for modeling water into soil with analytical models that use sorptivity.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.5194/hess-27-895-2023
- https://hess.copernicus.org/articles/27/895/2023/hess-27-895-2023.pdf
- OA Status
- gold
- Cited By
- 11
- References
- 37
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4321784424
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4321784424Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.5194/hess-27-895-2023Digital Object Identifier
- Title
-
Mixed formulation for an easy and robust numerical computation of sorptivityWork title
- Type
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articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2023Year of publication
- Publication date
-
2023-02-24Full publication date if available
- Authors
-
Laurent Lassabatère, Pierre‐Emmanuel Peyneau, Deniz Yılmaz, Joseph Alexander Paul Pollacco, Jesús Fernández‐Gálvez, Borja Latorre, David Moret‐Fernández, Simone Di Prima, Mehdi Rahmati, Ryan D. Stewart, Majdi Abou Najm, Claude Hammecker, Rafaël Angulo-JaramilloList of authors in order
- Landing page
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https://doi.org/10.5194/hess-27-895-2023Publisher landing page
- PDF URL
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https://hess.copernicus.org/articles/27/895/2023/hess-27-895-2023.pdfDirect link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
-
https://hess.copernicus.org/articles/27/895/2023/hess-27-895-2023.pdfDirect OA link when available
- Concepts
-
Sorptivity, Infiltration (HVAC), Hydraulic conductivity, Thermal diffusivity, Pressure head, Soil water, Saturation (graph theory), Degree of saturation, Geotechnical engineering, Mathematics, Soil science, Geology, Thermodynamics, Physics, Porosity, CombinatoricsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
11Total citation count in OpenAlex
- Citations by year (recent)
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2025: 2, 2024: 7, 2023: 1, 2022: 1Per-year citation counts (last 5 years)
- References (count)
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37Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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