Search results

Filters

  • Journals
  • Authors
  • Keywords
  • Date
  • Type

Search results

Number of results: 2
items per page: 25 50 75
Sort by:
Download PDF Download RIS Download Bibtex

Abstract

Use of the poroelasticity theory by Biot in the description of rock behaviour requires the value of the e.g. Biot coefficient α to be determined. The α coefficient is a function of two moduli of compressibility: the modulus of compressibility of the rock skeleton Ks and the effective modulus of compressibility K. These moduli are determined directly on the basis of rock compressibility curves obtained during compression of a rock sample using hydrostatic pressure. There is also a concept suggesting that these compressibility moduli might be determined on the basis of results of the uniaxial compression test using the fact that, in the case of an elastic, homogeneous and isotropic material, the modulus of compressibility of a material is a function of its Young modulus and its Poisson ratio. This work compares the results obtained from determination of the Biot coefficient by means of results of compressibility test and uniaxial compression test. It was shown that the uniaxial compression test results are generally unsuitable to determine the value of the coefficient α. An analysis of values of the determined moduli of compressibility shows that whereas the values of effective moduli of compressibility obtained using both ways may be considered as satisfactorily comparable, values of the relevant rock skeleton moduli of compressibility differ significantly.
Go to article

Bibliography

[1] M.A. Biot, General Theory of Three-Dimensional Consolidation. J. Appl. Phys. 12, 155-164 (1941).
[2] M.A. Biot, Theory of elasticity and consolidation for a porous anisotropic solid. J. Appl. Phys. 26, 182-185 (1945).
[3] A. Nur, J.D. Byerlee, An Exact Effective Stress Law for Elastic Deformation of Rock with Fluids. J. Geophys. Res. 76 (26), 6414-6419 (1971).
[4] D . Fabre, J. Gustkiewicz J., Poroelastic Properties of Limestones and Sandstones under Hydrostatic Conditions. Int. J. Rock Mech. Min. Sci. 34 (1), 127-134 (1997).
[5] D . Fabre, J. Gustkiewicz, Influence of rock porosity on the Biot’s coefficient. In: Thismus et al. (eds.), Poromechanics – A Tribute to Maurice A. Biot. Procedings of the Biot Confference on Poromechanics, Louvain-la-Neuve (Belgium), 14-16 September 1998, Balkema, Rotterdam (1998).
[6] J . Gustkiewicz, Compressibility of rocks with a special consideration given to pore pressure. In: Thismus et al. (Eds.), Poromechanics – A Tribute to Maurice A. Biot. Proceedings of the Biot Conference on Poromechanics, Louvain-la-Neuve (Belgium), 14-16 September 1998, Balkema, Rotterdam (1998).
[7] M. Lion, F. Skoczylas, B. Ledésert, Determination of the main hydraulic and poroelastic properties of a limestone from Bourgogne, France. Int. J. Rock Mech. Min. Sci. 41, 915-925 (2004).
[8] J . Gustkiewicz, Objętościowe deformacje skały i jej porów (Volume deformations of the rock and its pores). Arch. Min. Sci. 34 (3), 593-609 (1989) (in Polish).
[9] J . Gustkiewicz, Synoptic view of mechanical behaviour of rocks under triaxial compression. In: Rock at Great Depth. Proceedings International Symposium ISRM-SPE, Pau, 28-31 VIII 1989, V. Maury, D. Fourmaintraux (Eds.), Balkema, Rotterdam, 3-10 (1989).
[10] J .B. Walsh, The effect of cracks on compressibility of rock. J. Geophys. Res. 70, 381-389 (1965).
[11] J .C. Jaeger, N.G.W. Cook, R.W. Zimmerman, Fundamentals of Rock Mechanics. 2007 Blackwell Publishing, Malden-Oxford-Carlton.
[12] H .F. Wang, Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology. 2000 Princeton University Press, Princeton & Oxford.
[13] Z .T. Bieniawski, J.A. Franklin, M.J. Bernede, P. Duffaut, F. Rumpel, T. Horibe, F. Broch, E. Rodrigues, W.E. van Heerden, U.W. Vogler, I. Hansagi, J. Szlavin, B.T. Brady, D.U. Deere, I. Hawkes, D. Milovanovic, Suggested Methods for Determining the Uniaxial Compressive Strength and Deformability of Rock Materials. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 16 (2), 135-140 (1979).
[14] K . Kovári, A. Tisa, H.H. Einstein, J.A. Franklin, Suggested Methods for Determining the Strength of Rock Materials in Triaxial Compression: Revised Version. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 20 (6), 283-290 (1983).
[15] M. Długosz, J. Gustkiewicz, A. Wysocki, Apparatus for investigation of rock in three-axial state of stress. Part I. Characteristics of the apparatus and of the investigation method. Arch. Min. Sci. 26 (1), 17-28 (1981).
[16] M. Długosz, J. Gustkiewicz, A. Wysocki, Apparatus for investigation of rock in three-axial state of stress. Part II. Some investigation results concerning certain rocks. Arch. Min. Sci. 26 (1), 29-41 (1981).
[17] J . Nurkowski, An inductive strain sensor for operation in high pressure environments. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 41, 175-180 (2004).
[18] R . Ulusay, J.A. Hudson (Eds.), Suggested Methods for Determining the Uniaxial Compressive Strength and Deformability of Rock Materials. In: The Complete ISRM Suggested Methods for Rock Characterization, Testing and Monitoring: 1974-2006, 2007 Kozan Ofset Matbaacilik San. Ve Tic. Sti., Ankara.
[19] R. Přikryl, J. Prikrylová, M. Racek, Z. Weishauptová, K. Kreislová, Decay mechanism of indoor porous opuka stone: a case study from the main altar located in the St. Vitus Cathedral. Environmental Earth Sciences 76 (2017).
[20] J . Rychlewski, Note on the beginning of plastic deformation in a body under uniform pressure. Archives de Mécanique Appliquée 17 (3), 405-412 (1965).
Go to article

Authors and Affiliations

Andrzej Nowakowski
1
ORCID: ORCID
Janusz Nurkowski
1
ORCID: ORCID

  1. Strata Mechanics Research Institute of the Polish Academy of Science, 27 Reymonta Str., 30-059 Kraków, Poland
Download PDF Download RIS Download Bibtex

Abstract

This paper presents simulation results of the consolidation process of the flotation waste landfill “Żelazny Most”. The mathematical model used in presented research is based on Biot’s model of consolidation and is extended with rheological skeleton. The load is the mass pressure of the landfill itself. The initial point selected for calculations was based on the ground water level calculated in a landfill. The creeping process in this waste landfill was analyzed along the north – south section. The solution is therefore 2D with the assumption of a plane strain state. Effective model parameters data were obtained in laboratory tests on the material from the waste landfill. Results obtained for a stress state in a storage state can help to determine whether the adopted linear model of visco-elastic medium does not lead to changes in the Coulomb – Mohr potential yield, showing the emergence of plasticity of material storage areas.

Go to article

Authors and Affiliations

T. Strzelecki
M. Bartlewska-Urban

This page uses 'cookies'. Learn more