Bai, M.; Meng, F.; Elsworth, D.; Abousleiman, Y.; Roegiers, J.-C. Numerical modelling of coupled flow and deformation in fractured rock specimens. (English) Zbl 0933.74062 Int. J. Numer. Anal. Methods Geomech. 23, No. 2, 141-160 (1999). Summary: A dual-porosity poroelastic model is extended to represent in cylindrical coordinates the flow-deformation effects observed in cylindrical laboratory samples with a central wellbore or with non-repeating axisymmetric injection on the periphery. Nine-node quadratic elements are used to represent mechanical deformation, while eight-node linear elements are used to interpolate the pressure fields. The model presented is validated against simplified analytical results, and is then extended to describe the behaviour of homogeneous and heterogeneous laboratory specimens subjected to controlled triaxial stresses and injections. The results show significant influence of stress-deformation effects on the system behaviour. Cited in 5 Documents MSC: 74S05 Finite element methods applied to problems in solid mechanics 74L10 Soil and rock mechanics 76S05 Flows in porous media; filtration; seepage 86A05 Hydrology, hydrography, oceanography Keywords:nine-node quadratic elements; dual-porosity poroelastic model; cylindrical coordinates; cylindrical laboratory samples; central wellbore; eight-node linear elements PDFBibTeX XMLCite \textit{M. Bai} et al., Int. J. Numer. Anal. Methods Geomech. 23, No. 2, 141--160 (1999; Zbl 0933.74062) Full Text: DOI References: [1] Greenkorn, Soc. Petroleum Engng. J. 16 pp 124– (1964) · doi:10.2118/788-PA [2] Brace, J. Geophys. Res. 82 pp 3343– (1977) [3] Bawden, Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 17 pp 265– (1980) [4] ’Rock hydraulics’, in Rock Mechanics, Springer, Vienna, 1974, pp. 299-382. [5] , and , ’New approaches to problems of fluid flow in fractured rock masses’, Proc. 22nd U.S. Symp. Rock Mech., MIT Press, Cambridge, MA, 1982. [6] Barenblatt, Prikl. Mat. Mekh. 24 pp 852– (1960) [7] Warren, J. Soc. Pet. Engng. 3 pp 245– (1963) · doi:10.2118/426-PA [8] Boulton, Proc. Inst. Civ. Engng. 26 pp 469– (1963) · doi:10.1680/iicep.1963.10409 [9] Closmann, Soc. Pet. J. 15 pp 385– (1975) · doi:10.2118/4434-PA [10] Huyakorn, Water Resour. Res. 19 pp 841– (1983) [11] ’Flow in fractured porous media’, Ph.D. Thesis, Princeton University, Princeton, NJ, 1973. [12] and , ’Finite element Galerkin method for flow in fractured media’, in Finite Element Methods in Flow Problems, University of Alabama Press, University, Alabama, 1974. [13] Aifantis, Dev. Mech. 9 pp 209– (1977) [14] Aifantis, Acta Mechanica 37 pp 265– (1980) [15] Wilson, Int. J. Engng. Sci. 20 pp 1009– (1982) [16] Khaled, Int. J. Numer. Anal. Meth. Geomech. 8 pp 101– (1984) [17] Elsworth, J. Geotech. Engng. ASCE 118 pp 107– (1992) [18] Bai, Water Resour. Res. 29 pp 1621– (1993) [19] Biot, J. Appl. Phys. 12 pp 155– (1941) [20] Valliappan, Int. J. Numer. Meth. Engng. 29 pp 1079– (1990) [21] Khalili-Naghadeh, Water Resour. Res. 27 pp 1703– (1991) [22] Yeh, Int. J. Numer. Anal. Meth. Geomech. 20 pp 79– (1996) [23] Ghafouri, Int. J. Numer. Anal. Meth. Geomech. 20 pp 831– (1996) [24] Huyakorn, Water Resour. Res. 19 pp 1019– (1983) [25] Sandhu, J. Engng. Mech. ASCE 95 pp 641– (1969) [26] Turner, J. Aeronaut. Sci. 23 pp 805– (1956) · doi:10.2514/8.3664 [27] ’The Finite Element Method’, 3rd edn, McGraw-Hill, London, 1977. [28] Taylor, Int. J. Numer. Meth. Engng. 10 pp 1211– (1976) [29] Froier, Int. J. Numer. Meth. Engng. 8 pp 433– (1974) [30] Wilson, Int J. Numer. Meth. Engng. 8 pp 198– (1974) [31] , and , ’Incompatible displacement models’, in Numerical and Computer Methods in Structural Mechanics, Academic Press, New York, 1973, pp. 43-57. · doi:10.1016/B978-0-12-253250-4.50008-7 [32] and , Theory of Elasticity, 2nd edn McGraw-Hill, New York, 1951. [33] ’A comparative analysis between higher order and nonconforming elements’, unpublished study. [34] and , ’Study of radial fluid flow in anisotropic media: analytical approach’, Report RMC-96-07, 1996. [35] Mueller, Trans. AIME 234 pp 471– (1965) [36] , and , ’A three-dimensional dual-porosity poroelastic model’, Proc. CCMRI–Int. Mining Tech’95, Beijing, China, 1995, pp. 184-202. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.