Linear stability of one-dimensional non-Darcy flow in broken rocks

被引:1
|
作者
Zhao, Moli [1 ,2 ]
Wang, Shaowei [1 ,2 ,3 ]
Zhang, Qiangyong [1 ]
Li, Shucai [1 ]
机构
[1] Shandong Univ, Geotech & Struct Engn Res Ctr, Jinan 250061, Peoples R China
[2] Shandong Univ, Sch Civil Engn, Dept Engn Mech, Jinan 256601, Peoples R China
[3] Univ Alabama, Dept Geol Sci, Tuscaloosa, AL 35487 USA
基金
中国国家自然科学基金;
关键词
broken rocks; non-Darcy flow; normal mode method; linear stability analysis; SATURATED POROUS-MEDIA; DISSOLUTION FRONT INSTABILITY; MORPHOLOGICAL EVOLUTION; CONVECTIVE INSTABILITY; NUMERICAL-ANALYSES; FLUID; SHAPES; FAULT;
D O I
10.1002/nag.2349
中图分类号
P5 [地质学];
学科分类号
0709 ; 081803 ;
摘要
Considering the effect of non-Darcy flow, the perturbation theory and normal mode method are introduced to analyze the linear stability of one-dimensional non-Darcy flow of gases in broken rocks. A stability criterion for linear systems is obtained theoretically when the steady states of pressure and velocity fields are perturbed, and the effects of the physical parameters on the linear governing system are studied theoretically and numerically. It is pointed out that the deviation coefficient from Darcy's law plays an important role in the governing system; the increasing absolute value of deviation coefficient from Darcy's law stabilizes the system, and the numerical results are shown graphically. Copyright (c) 2015 John Wiley & Sons, Ltd.
引用
收藏
页码:1063 / 1072
页数:10
相关论文
共 50 条
  • [21] Analytical solution for one-dimensional non-Darcy flow with bilinear relation in porous medium caused by line source
    Zhou, Yang
    Zhang, Li-ying
    Wang, Tao
    APPLIED MATHEMATICS AND COMPUTATION, 2021, 392 (392)
  • [22] Upscaling Non-Darcy Flow
    Garibotti, C. R.
    Peszynska, M.
    TRANSPORT IN POROUS MEDIA, 2009, 80 (03) : 401 - 430
  • [23] Upscaling Non-Darcy Flow
    C. R. Garibotti
    M. Peszyńska
    Transport in Porous Media, 2009, 80 : 401 - 430
  • [24] Characterization of a Non-Darcy Flow and Development of New Correlation of NON-Darcy Coefficient
    Elsanoose, Abadelhalim
    Abobaker, Ekhwaiter
    Khan, Faisal
    Rahman, Mohammad Azizur
    Aborig, Amer
    Butt, Stephen D.
    ENERGIES, 2022, 15 (20)
  • [25] ANALYTICAL STUDY ON A ONE-DIMENSIONAL MODEL COUPLING BOTH DARCY FLOW AND LOW-VELOCITY NON-DARCY FLOW WITH THRESHOLD PRESSURE GRADIENT IN HETEROGENEOUS COMPOSITE RESERVOIRS
    Liu W.
    Duan Y.
    Zhang Q.
    Chen Z.
    Yan X.
    Sun H.
    Taleghani A.D.
    Journal of Porous Media, 2022, 25 (09) : 47 - 76
  • [26] ANALYTICAL STUDY ON A ONE-DIMENSIONAL MODEL COUPLING BOTH DARCY FLOW AND LOW-VELOCITY NON-DARCY FLOW WITH THRESHOLD PRESSURE GRADIENT IN HETEROGENEOUS COMPOSITE RESERVOIRS
    Liu, Wenchao
    Duan, Yaoyao
    Zhang, Qitao
    Chen, Zhangxin
    Yan, Xuemei
    Sun, Hedong
    Taleghani, Arash Dahi
    JOURNAL OF POROUS MEDIA, 2022, 25 (07) : 47 - 76
  • [27] A unified model including non-Darcy flow and viscoelastic mechanisms in tight rocks
    Zhang, Boya
    Yang, Dinghui
    He, Xijun
    GEOPHYSICS, 2022, 87 (04) : MR189 - MR199
  • [28] Non-Darcy flow in hydraulic fractures
    Miskimins, J.L.
    Lopez-Hernandez, H.D.
    Barree, R.D.
    JPT, Journal of Petroleum Technology, 2006, 58 (03): : 58 - 59
  • [29] Non-uniqueness and linear stability of the one-dimensional flow of multiple viscoelastic fluids
    LeMeur, H
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 1997, 31 (02): : 185 - 211
  • [30] Selection and application of a one dimensional non-Darcy flow equation for two-dimensional flow through rockfill embankments: Reply
    Hansen, D
    Garga, VK
    Townsend, DR
    CANADIAN GEOTECHNICAL JOURNAL, 1996, 33 (01) : 200 - 201