Numerical treatment of temporal-fractional porous medium model occurring in fractured media  

作　　者：R.Meher J.Kesarwani Z.Avazzadeh O.Nikan 

机构地区：[1]Department of Applied Mathematics&Humanities,S.V.National Institute of Technology,Surat 395007,India [2]Department of Applied Mathematics,Xi’an Jiaotong-Liverpool University,Suzhou 215123,China [3]School of Mathematics,Iran University of Science and Technology,Narmak,Tehran 16846-13114,Iran

出　　处：《Journal of Ocean Engineering and Science》2023年第5期481-499,共19页海洋工程与科学（英文）

摘　　要：This paper proposes a temporal-fractional porous medium model(T-FPMM)for describing the co-current and counter-current imbibition,which arises in a water-wet fractured porous media.The correlation be-tween the co-current and counter-current imbibition for the fractures and porous matrix are examined to determine the saturation and recovery rate of the reservoir.For different fractional orders in both porous matrix and fractured porous media,the homotopy analysis technique and its stability analysis are used to explore the parametric behavior of the saturation and recovery rates.Finally,the effects of wettability and inclination on the recovery rate and saturation are studied for distinct fractional values.

关 键 词：Fractured porous media Caputo fractional derivative Co-current imbibition Time-fractional partial differential equation 

分 类 号：O35[理学—流体力学]