Research on unsaturated seepage problems based on fractional order derivative
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Graphical Abstract
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Abstract
Unsaturatedseepagephenomenonwidelyexistsincoalengineering*Theexperimentalshows thatthereisa nonlinear relationship between mean square displacement and time,while the classic Richardsequationfailstocharacterize*Tosolvethis,weintroducedtime⁃fractionalorderintoclassice⁃ quationbyinvolvingtwoformsofhydraulicconductivitysoastogettime⁃fractionalRichardsequation andnumerical results were obtained*Furthermore,the effect of the parameters in the time⁃fractional Richardsequationonthewatercontenthasbeendiscussedinthispaperandthefittingresultshave beenappliedtotheexperimentalresultsfromformerpaper*Thefittingresultsshowthatthenewmodel canfitbettertotheseepageprocessinunsaturatedporousmedia*
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