WangRui, ZhouHongwei, ZhuoZhuang. Research on unsaturated seepage problems based on fractional order derivative[J]. Journal of Mining Science and Technology, 2019, 4(1): 17-22.
Citation: WangRui, ZhouHongwei, ZhuoZhuang. Research on unsaturated seepage problems based on fractional order derivative[J]. Journal of Mining Science and Technology, 2019, 4(1): 17-22.

Research on unsaturated seepage problems based on fractional order derivative

  • Received Date: 2018-11-26
  • Rev Recd Date: 2018-11-26
  • Publish Date: 2019-02-28
  • 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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      沈阳化工大学材料科学与工程学院 沈阳 110142

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