Abstract
In this paper, the effective stress for multi-porosity elasticity model is presented by means of stress analysis for double porosity media elements. It is found that the effective stress law is not unique, it depends on the hypothesis of constitutive equations for multi-porosity media. Diversified effective stress laws for multi-porosity are developed.
Similar content being viewed by others
References
Terzaghi K. Die berechnung der curchlassigkeitziffer der tones aus dem verlauf der hydrodynamischen spannungserscheinumgen[J].Sber Akad Wiss Wien, 1923,132(2):105.
Terzaghi K.Theoretical Soil Mechanics[M]. New York: Wiley, 1943.
Geertsma J. The effect of fluid pressure decline on volumetric changes of porous rocks[J].Tran AIME, 1957,210(1):331–340.
Skempton A W.Effective Stress in Soils, Concrete and Rock, in Pore Pressure and Suction in Soils[M]. London: Butterworths, 1961.
Nur A, Byerlee J D. An exact effective stress law for elastic deformation of rock with fluids[J].J Geophys Res, 1971,76(26):6414–6419.
Carrol M M. An effective stress law for anisotropic elastic deformation[J].Journal of Geophysical Research, 1979,84(13):7510–7512.
Thompson M, Willis J R. A reformation of the equations of anisotropic poroelasticity[J].Journal of Applied Mechanics, 1991,58(11):612–616.
Tuncay K, Corapcioglu M Y. Effective stress principle for saturated fractured porous media [J].Water Resources Research, 1995,31(12):3103–3106.
Barenblatt G I, Zheltov Iu P, Kochina I N. Basic concepts in the theory of seepage of homogeneous liquids in fissured rock[J].J Appl Math Mech, 1960,24(5):1286–1303.
Lade P V, De Boer R. The concept of effective stress for soil, concrete and rock[J].Geotechnique, 1977,47(1):61–78.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mian, C., Zhida, C. Effective stress laws for multi-porosity media. Appl Math Mech 20, 1207–1213 (1999). https://doi.org/10.1007/BF02463788
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02463788