Journal of Mining Science

, Volume 34, Issue 1, pp 21–26 | Cite as

Investigation of heat and mass transport along a single fissure in a rock mass, by means of numerical modeling methods

  • P. V. Amissov
  • M. Gutierrez


A mathematical model is presented for the coupled process of solute and heat transport by the flow of water along a single fissure, with an accounting for the thermal loads induced in the surrounding rock mass. The Barton-Bandis model has been used in describing the fissure behavior. Computer codes have been developed for the conditions of constancy of water flow rate and constancy of pressure drop along the fissure, and these codes have been used in conducting numerical experiments. Analysis of the results has shown that the selected model gives a physical description of the processes of heat and mass transport along a fissure, the warmup of the surrounding mass, and the behavior of the fissure aperture; hence we can rely on successful use of this procedural "tool."


Pressure Drop Rock Mass Water Flow Rate Surround Rock Mass Hydraulic Aperture 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    L. Jing, C.-F. Tsang, and O. Stephansson, "DECOVALEX — an international cooperative research project on mathematical models of coupled THM processes for safety analysis of radioactive waste repositories," Int. J. Rock Mech. Min. Sci. Geomech. Abstr.,32, No. 5, 389–398 (1995).CrossRefGoogle Scholar
  2. 2.
    N. Barton, S. Bandis, and K. Bakhtar, "Strength, deformation and conductivity coupling of rock joints," Int. J. Rock Mech. Min. Sci.,22, 121–140 (1985).CrossRefGoogle Scholar
  3. 3.
    J. Bear and A. Verruijt, Modeling Groundwater Flow and Pollution, D. Reidel, London (1990).Google Scholar
  4. 4.
    N. Barton and S. A. Yufin, "Prospects for development of numerical methods for geomechanical support for designs of structures in nuclear technology," in: Material from International Conference, "Utilization of Underground Space of the Country for Increasing the Safety Level in Nuclear Energy," 1992, Part 2, Problems in Construction and Safety Provisions for Underground Atomic Stations [in Russian], Apatity (1995).Google Scholar
  5. 5.
    The McGraw-Hill Handbook of Essential Engineering Information and Data [edited by Ejup N. Ganic and Tyler G. Hicks], McGraw-Hill, New York (1991).Google Scholar
  6. 6.
    B. Van Lear, "Towards the ultimate conservative difference scheme," J. Comput. Phys.,14, 361–370 (1974).CrossRefGoogle Scholar
  7. 7.
    A. A. Baklanov, Numerical Modeling and Mine Aerology [in Russian], Kola Branch, Academy of Sciences of the USSR, Apatity (1987).Google Scholar
  8. 8.
    S. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corp., New York (1980).Google Scholar
  9. 9.
    P. A. Cundall, "UDECA generalized distinct element program for modelling fractured rock," Peter Cundall Assoc., Report PCAR-1-80, European Research Office, U. S. Army, Contract DAJA37-79-C-0548 (1980).Google Scholar
  10. 10.
    E. Elsworth and R. E. Goodman, "Characterisation of rock fissure hydraulic conductivity using idealised wall roughness profiles," Int. J. Rock Mech. Min. Sci. Geomech. Abstr.,23, No. 3, 233–43 (1986).CrossRefGoogle Scholar
  11. 11.
    P. Amossov and M. Gutierrez, "Numerical modelling of the ID advection-diffusion equation and application to solute and heat flow and transport along single fractures," Norwegian Geotechnical Institute, Report 541004-2, November 28, 1995.Google Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • P. V. Amissov
  • M. Gutierrez

There are no affiliations available

Personalised recommendations