Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 31
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Mcdowell, Alastair Zarrouk, Sadiq J. and Clarke, Richard 2016. Modelling viscous fingering during reinjection in geothermal reservoirs. Geothermics, Vol. 64, p. 220.


    Sajjadi, M. and Azaiez, J. 2016. Hydrodynamic instabilities of flows involving melting in under-saturated porous media. Physics of Fluids, Vol. 28, Issue. 3, p. 033104.


    Zhu, Da Bergerson, Joule A. and Gates, Ian D. 2016. On fingering of steam chambers in steam-assisted heavy oil recovery. AIChE Journal, Vol. 62, Issue. 4, p. 1364.


    Chui, Jane Y. Y. de Anna, Pietro and Juanes, Ruben 2015. Interface evolution during radial miscible viscous fingering. Physical Review E, Vol. 92, Issue. 4,


    Kim, Min Chan 2015. Linear stability analysis on the onset of the Rayleigh–Taylor instability of a miscible slice in a porous medium. Journal of Engineering Mathematics, Vol. 90, Issue. 1, p. 105.


    Kim, Min Chan 2015. Numerical simulation of the Rayleigh–Taylor instability of a miscible slice in a porous medium. Journal of Engineering Mathematics,


    Nicolaides, Christos Jha, Birendra Cueto-Felgueroso, Luis and Juanes, Ruben 2015. Impact of viscous fingering and permeability heterogeneity on fluid mixing in porous media. Water Resources Research, Vol. 51, Issue. 4, p. 2634.


    Rabiei Faradonbeh, M. Harding, T. G. Abedi, J. and Hassanzadeh, H. 2015. Stability Analysis of Coupled Heat and Mass Transfer Boundary Layers During Steam–Solvent Oil Recovery Process. Transport in Porous Media, Vol. 108, Issue. 3, p. 595.


    Sajjadi, M. and Azaiez, J. 2015. Heat and mass transfer in melting porous media: Stable miscible displacements. International Journal of Heat and Mass Transfer, Vol. 88, p. 926.


    LIU, Qiangqiang 2014. Non-linear Interactions of Dynamic Reactive Interfaces in Hydrothermal Porous Media. Acta Geologica Sinica - English Edition, Vol. 88, Issue. s2, p. 1128.


    Tilton, N. and Riaz, A. 2014. Nonlinear stability of gravitationally unstable, transient, diffusive boundary layers in porous media. Journal of Fluid Mechanics, Vol. 745, p. 251.


    Daniel, Don Tilton, Nils and Riaz, Amir 2013. Optimal perturbations of gravitationally unstable, transient boundary layers in porous media. Journal of Fluid Mechanics, Vol. 727, p. 456.


    Sajjadi, M. and Azaiez, J. 2013. Scaling and unified characterization of flow instabilities in layered heterogeneous porous media. Physical Review E, Vol. 88, Issue. 3,


    Sajjadi, M. and Azaiez, J. 2013. Dynamics of fluid flow and heat transfer in homogeneous porous media. The Canadian Journal of Chemical Engineering, Vol. 91, Issue. 4, p. 687.


    Azaiez, J. and Sajjadi, M. 2012. Stability of double-diffusive double-convective miscible displacements in porous media. Physical Review E, Vol. 85, Issue. 2,


    Johns, L.E. and Narayanan, R. 2012. Miscible displacement in bounded fluid layers: Branching beyond critical. European Journal of Mechanics - B/Fluids, Vol. 32, p. 91.


    Kim, Min Chan 2012. Linear stability analysis on the onset of the viscous fingering of a miscible slice in a porous medium. Advances in Water Resources, Vol. 35, p. 1.


    Kim, Min Chan 2012. Onset of radial viscous fingering in a Hele-Shaw cell. Korean Journal of Chemical Engineering, Vol. 29, Issue. 12, p. 1688.


    Kim, Min Chan 2012. Some analytical aspects of the radial fingering in porous medium. Zeitschrift für angewandte Mathematik und Physik, Vol. 63, Issue. 4, p. 713.


    Chandra Sahu, Kirti and Govindarajan, Rama 2011. Linear stability of double-diffusive two-fluid channel flow. Journal of Fluid Mechanics, Vol. 687, p. 529.


    ×
  • Journal of Fluid Mechanics, Volume 508
  • June 2004, pp. 133-163

The instability of thermal and fluid fronts during radial injection in a porous medium

  • DAVID PRITCHARD (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112004009000
  • Published online: 01 June 2004
Abstract

We investigate viscous fingering instabilities of the double-front system which results when fluid is injected into a porous medium containing fluid of a different composition and temperature. We describe a linear stability analysis based on an eigenfunction expansion method which enables us to investigate the structure of the discrete eigenvalue spectrum. We investigate the extent to which the properties of each front contribute to the tendency of the system to become unstable: we find that instabilities on the compositional front dominate because of the high ratio of thermal to solute diffusion. It is difficult for a stable compositional front to stabilize an unstable thermal front; however, this situation can result in a new fingering phenomenon in which the perturbations undergo coupled oscillations of growing amplitude.

Copyright
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax