New insights on the origin of the Richardson-Richards equation.

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Title: New insights on the origin of the Richardson-Richards equation.
Authors: Nimmo, John R.1 (AUTHOR) jrnimmo@usgs.gov
Source: Hydrological Sciences Journal/Journal des Sciences Hydrologiques. Dec2024, Vol. 69 Issue 15, p2153-2158. 6p.
Subjects: Unpublished materials, Soil moisture, Equations
Abstract: The Richardson-Richards equation (RRE), despite known shortcomings especially in regard to preferential flow, provides the basis for the vast majority of unsaturated flow models in use today. L.F. Richardson published this equation in 1922, nine years before L.A. Richards. Whereas Richards approached this problem directly from the groundbreaking developments of Edgar Buckingham, Richardson, surprisingly, cited as his starting point only the earlier work of L.J. Briggs. Collectively, these four scientists' published and unpublished work reveals that: (1) Briggs' work, though qualitative, captured the essential physical principles needed for quantifying unsaturated flow; (2) Buckingham came very close to deriving the RRE and explained why he stopped short of doing so; (3) derivation of the RRE from the work of either Briggs or Buckingham required only modest developmental work; and (4) besides deriving the RRE, Richards carried through much of the experimental agenda that Buckingham considered a necessary precursor to mathematical treatment. [ABSTRACT FROM AUTHOR]
Copyright of Hydrological Sciences Journal/Journal des Sciences Hydrologiques is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: New insights on the origin of the Richardson-Richards equation.
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  Data: <searchLink fieldCode="AR" term="%22Nimmo%2C+John+R%2E%22">Nimmo, John R.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jrnimmo@usgs.gov</i>
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  Data: <searchLink fieldCode="JN" term="%22Hydrological+Sciences+Journal%2FJournal+des+Sciences+Hydrologiques%22">Hydrological Sciences Journal/Journal des Sciences Hydrologiques</searchLink>. Dec2024, Vol. 69 Issue 15, p2153-2158. 6p.
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  Data: <searchLink fieldCode="DE" term="%22Unpublished+materials%22">Unpublished materials</searchLink><br /><searchLink fieldCode="DE" term="%22Soil+moisture%22">Soil moisture</searchLink><br /><searchLink fieldCode="DE" term="%22Equations%22">Equations</searchLink>
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  Label: Abstract
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  Data: The Richardson-Richards equation (RRE), despite known shortcomings especially in regard to preferential flow, provides the basis for the vast majority of unsaturated flow models in use today. L.F. Richardson published this equation in 1922, nine years before L.A. Richards. Whereas Richards approached this problem directly from the groundbreaking developments of Edgar Buckingham, Richardson, surprisingly, cited as his starting point only the earlier work of L.J. Briggs. Collectively, these four scientists' published and unpublished work reveals that: (1) Briggs' work, though qualitative, captured the essential physical principles needed for quantifying unsaturated flow; (2) Buckingham came very close to deriving the RRE and explained why he stopped short of doing so; (3) derivation of the RRE from the work of either Briggs or Buckingham required only modest developmental work; and (4) besides deriving the RRE, Richards carried through much of the experimental agenda that Buckingham considered a necessary precursor to mathematical treatment. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of Hydrological Sciences Journal/Journal des Sciences Hydrologiques is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1080/02626667.2024.2404714
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      – Code: eng
        Text: English
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        PageCount: 6
        StartPage: 2153
    Subjects:
      – SubjectFull: Unpublished materials
        Type: general
      – SubjectFull: Soil moisture
        Type: general
      – SubjectFull: Equations
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      – TitleFull: New insights on the origin of the Richardson-Richards equation.
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              M: 12
              Text: Dec2024
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              Y: 2024
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