Skip to main content
SpringerLink
Log in

Mathematical Modeling of Rheological Properties of Clays and Clay Rocks

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

A mathematical model of the rheological properties of water‐saturated clays has been considered. The model is built upon the combination of the theory of filtrational consolidation and the theory of stability of lyophobe colloids, which is based on the concept of disjoining pressure as excess pressure compared to the hydraulic one which is due to surface forces and which acts in water films between clay particles. It is shown that the problem of shrinkage of a clay layer in deformation can be reduced to the known problem of N. N. Verigin. An approximation solution of pressing‐out of water from the clay layer has been analyzed. The obtained approximate solution necessarily results in the introduction of the concept of an ultimate shear stress for clays. Special features of the model which are of importance for explaining characteristic features of transport processes in clays (the possibility of abnormally high pressures in subconsolidated clays) have been studied. It is shown that the solutions obtained are in good agreement with the experimental results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. V. I. Osipov, V. N. Sokolova, and N. A. Rumyantseva, Microstructure of Clay Rocks [in Russian], Moscow (1989).

  2. B. V. Deryagin, N. V. Churaev, and V. M. Muller, Surface Forces [in Russian], Moscow (1987).

  3. A. V. Kosterin, Main Equations and Variational Methods of Calculation of Isothermal, Doctoral Dissertation (in Physics and Mathematics), Kazan' (1988).

  4. V. A. Lyakhovskii and V. P. Myasnikov, Fiz. Zemli, No. 10, 71–75 (1984).

    Google Scholar 

  5. V. M. Gol'dberg and N. P. Skvortsov, Penetrability and Filtration in Clays [in Russian], Moscow (1986).

  6. V. N. Nikolaevskii, Geomechanics and Fluid Dynamics [in Russian], Moscow (1996).

  7. N. N. Verigin, in: Development of Studies on Filtration Theory in the USSR [in Russian], Moscow (1969), pp. 237–313.

  8. M. A. Pudovkin, V. A. Chugunov, and A. N. Salamatin, Problems of Heat Transfer as Applied to the Theory of Well Drilling [in Russian], Kazan' (1977).

  9. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Moscow (1977).

  10. M. Reiner, Rheology [in Russian], Moscow (1965).

  11. N. A. Tsytovich, Mechanics of Soils [in Russian], Moscow (1983).

  12. W. E. Worrall, Clays and Ceramic Raw Materials [Russian translation], Moscow (1978).

Download references

Author information

Authors and Affiliations

  1. Kazan' State University, Kazan', Russia

    M. G. Khramchenkov

Authors
  1. M. G. Khramchenkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khramchenkov, M.G. Mathematical Modeling of Rheological Properties of Clays and Clay Rocks. Journal of Engineering Physics and Thermophysics 76, 659–666 (2003). https://doi.org/10.1023/A:1024745719897

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1024745719897

Keywords

Search

Navigation