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:
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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.
|
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
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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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