Flow‐Deformation Response of Dual‐Porosity Media
Publication: Journal of Geotechnical Engineering
Volume 118, Issue 1
Abstract
A constitutive model is presented to define the linear poroelastic response of fissured media to determine the influence of dual porosity effects. A stress‐strain relationship and two equations representing conservation of mass in the porous and fractured material are required. The behavior is defined in terms of the hydraulic and mechanical parameters for the intact porous matrix and the surrounding fracture system, allowing generated fluid pressure magnitudes and equilibration rates to be determined. Under undrained hydrostatic loading, the pore pressure‐generation coefficients B, may exceed unity in either of the porous media or the fracture, representing a form of piston effect. Pressures generated within the fracture system equilibrate with time by reverse flow into the porous blocks. The equilibration time appears negligible for permeable sandstones, but it is significant for low‐permeability geologic media. The constitutive model is represented in finite element format to allow solution for general boundary conditions where the influence of dual‐porosity behavior may be examined in a global context.
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References
1.
Aifantis, E. C. (1977). “Introducing a multi‐porous medium.” Developments in mechanics, 8, 209–211.
2.
Aifantis, E. C. (1980). “On the problem of diffusion in solids.” Acta Mechanica, 37, 265–296.
3.
Bear, J. (1971). Dynamics of fluids in porous media. American Elsevier, New York, N.Y.
4.
Bibby, R. (1981). “Mass transport of solutes in dual porosity media.” Water Resour. Res., 17, 1075–1081.
5.
Biot, M. A. (1941). “General theory of three‐dimensional consolidation.” J. Appl. Phys. 12, 151–164.
6.
Elsworth, D. (1989). “Thermal permeability enhancement of blocky rocks: one dimensional flows.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 26(3/4), 329–339.
7.
Goodman, R. E. (1974). “The mechanical properties of joints.” Proc. of the Third Congress of Int. Soc. for Rock Mech., 127–140.
8.
Huyakorn, P. S., Lester, B. H., and Faust, C. R. (1983). “Finite element techniques for modeling groundwater flow in fractured aquifers.” Water Resour. Res., 19, 1019–1035.
9.
Iwai, K. (1976). “Fundamental studies of fluid flow through a single fracture,” thesis presented to the University of California, at Berkeley, California, in partial fulfillment of the requirements of the degree of Doctor of Philosophy.
10.
Kazemi, H. (1969). “Pressure transient analysis of naturally fractured reservoirs with uniform fracture distribution.” Soc. Pet. Engrg. J., 9, 451–462.
11.
Kazemi, H., Merrill, L. S., Jr., Porterfield, K. L., and Zeman, P. R. (1976). “Numerical simulation of water‐oil flow in naturally fractured reservoirs.” Soc. Pet. Engrg. J., 16, 317–326.
12.
Kazemi, H., and Merrill, L. S., Jr. (1979). “Numerical simulation of water imbibition in fractured cores.” Soc. Pet. Engrg. J., 19, 175–182.
13.
Khaled, M. Y., Beskos, D. E., and Aifantis, E. C. (1984). “On the theory of consolidation with double porosity—III. A finite element formulation.” Int. I. Numer. Anal. Meth.Geomech., 8, 101–123.
14.
Mandel, J. (1953). “Consolidation des sols (étude mathematique).” Geotechnique, 3, 287–299.
15.
Nur, A., and Byerlee, J. D. (1971). “An exact effective stress law for elastic deformation of rock with fluids.” J. Geophys. Res., 76(26), 6414–6419.
16.
Odeh, A. S. (1965). “Unsteady‐state behavior of naturally fractured reservoirs.” Soc. Pet. Engrg. I., 5, 60–66.
17.
Pruess, K., and Narasimhan, T. N. (1985). “A practical method for modelling fluid and heat flow in fractured porous media.” Soc. Pet. Engrg. J., 25, 14–26.
18.
Rice, J. R., and Cleary, M. P. (1976). “Some basic stress diffusion solutions for fluid saturated elastic media with compressible constituents.” Rev. Geophys. Space Phys., 14(2), 227–241.
19.
Ryan, T. M., Farmer, I., and Kimbrell, A. F. (1977). “Laboratory determination of fracture permeability.” Proc. of the 18th U.S. Symp. on Rock Mechanics.
20.
Skempton, A. W. (1960). “Effective stress in soils, concrete and rock.” Proc. of the Symp. on Pore Pressure and Suction in Soils, Butterworths, London, U.K., 1.
21.
Terzaghi, K. (1923). “Die Berechnung der Durchasigkeitsziffer des Tones aus dem Verlauf der hydrodynamishen Spannungserscheinungen, Sitzungsber.” Acad. Wiss. Wien Math Naturwiss. Kl. Alot. 2A, 132, 105 (in German).
22.
Terzaghi, K. (1943). Theoretical soil mechanics, John Wiley & Sons, New York, N.Y.
23.
Thomas, L. K., Dixon, N. T., and Pierson, G. R. (1983). “Fractured reservoir simulation.” Soc. Pet. Engrg. J., 23, 42–54.
24.
Touloukian, Y. S., Judd, W. R., and Roy, R. F. (1989). Physical properties of rocks and minerals. 11(2), McGraw‐Hill, New York, N.Y.
25.
Warren, J. E., and Root, P. J. (1963). “The behavior of naturally fractured reservoirs.” Soc. Pet. Engrg. I., 3, 245–255.
26.
Wilson, R. K., and Aifantis, E. C. (1982). “On the theory of consolidation with double porosity.” Int. J. Engrg. Set, 20(9), 1009–1035.
27.
Witherspoon, P. A., Wang, J. S. Y., Iwai, K., and Gale, J. E. (1980). “Validity of cubic law for fluid flow in a deformable structure.” Water Resour. Res., 16(16), 1016–1024.
28.
Yamamoto, R. H., Padgett, J. B., Ford, W. T., and Boubeguira, A. (1971). “Compositional reservoir simulator for fissured systems—the single block model.” Soc. Pet. Engrg. J., 11, 113–128.
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Published In
Journal of Geotechnical Engineering
Volume 118 • Issue 1 • January 1992
Pages: 107 - 124
Copyright
Copyright © 1992 ASCE.
History
Published online: Jan 1, 1992
Published in print: Jan 1992
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