Abstract
The constitutive equations of poroelasticity contain four static moduli. Different sets of moduli are reviewed in the context of their laboratry measurement and their geophysical applications. One complete set consits of the drained bulk modulus and Poisson's ratio, and their undrained counterparts. Skempton's coefficient (ratio of pore pressure increment to mean stress increment under undrained conditions) and the Biot-Willis parameter serve equally well for the undrained bulk modulus and Poisson's ratio, because they permit the drained and undrained moduli to be related to each other. Time dependence is introduced into poroelastic behavior through Darcy's law. Geophysical applications that can be approximated by undrained conditions (fast loading) include seismicity, tidal and barometric loading, and tectonic compression. Several of these problems are most directly formulated in terms of Skempton's coefficient, undrained Poisson's ratio, and hydraulic diffusivity.
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References
Berge, P. A., Wang, H. F., andBonner, B. P. (1993),Pore Pressure Buildup Coefficient in Synthetic and Natural Sandstones, Int. J. Rock. Mech. Min. Sci. and Geomech. Abstr., in press.
Berryman, J. G. (1992),Effective Stress for Transport Properties of Inhomogeneous Porous Rock, J. Geophys. Res.97, 17, 409–17,424.
Biot, M. A. (1941),General Theory of Three-dimensional Consolidation, J. Appl. Physics12, 155–164.
Biot, M. A. (1956a),Theory of Propagation of Elastic Waves in a Fluid-saturated Porous Solid, I, Low-frequency Range, J. Acoust. Soc. Am.28, 168–178.
Biot, M. A. (1956b),Theory of Propagation of Elastic Waves in a Fluid-saturated Porous Solid, II, Higher-frequency Rarige, J. Acoust. Soc. Am.28, 179–191.
Brace, W. F., Walsh, J. B., andFrangos, W. T. (1968),Permeability of Granite under High Pressure, J. Geophys. Res.73, 2225–2236.
Bredehoeft, J. D.,Response of the ground-water system at Yucca Mountain to an earthquake. InGroundwater at Yucca Mountain (National Academy Press, Washington, D.C. 1992) pp. 212–222.
Brown, R. J. S., andKorringa, J. (1975),On the Dependence of the Elastic Properties of a Porous Rock on the Compressibility of the Pore Fluid, Geophysics40, 608–616.
Carrigan, C., King, G. P., Barr, G. E., andBixler, N. E. (1991),Potential for Water Table Excursions Induced by Seismic Events at Yucca Mountain, Navada, Geology19, 1157–1160.
Carslaw, H. S., andJaeger, J. C.,Conduction of Heat in Solids, 2nd ed. (Oxford University, Oxford, 1959).
Coyner, K. B.,Effects of Stress, Pore Pressure, and Pore Fluids on Bulk Strain, Velocity, and Permeability of Rocks (Ph. D. thesis, MIT 1984).
Detournay, E., andCheng, A. H-D.,Fundamentals of poroelasticity. InComprehensive Rock Engineering: Principles, Practice and Projects, Vol. 2, Chap. 5 (ed. Hudson, J. A.) (Pergamon Press, Oxford 1993) pp. 113–171.
Dropek, R. K., Johnson, J. N., andWalsh, J. B. (1978),The Influence of Pore Pressure on the Mechanical Properties of Kayenta Sandstone, J. Geophys. Res.83, 2817–2824.
Ge, S., andGarven, G. (1992),Hydromechanical Modeling of Tectonically Driven Groundwater Flow with Application to the Arkoma Foreland Basin, J. Geophys. Res.97, 9119–9144.
Green, D. H., andWang, H. F. (1986),Fluid Pressure Response to Undrained Compression in Saturated Sedimentary Rock, Geophysics51, 948–956.
Green, D. H., andWang, H. F. (1990),Specific Storage as a Poroelastic Constant, Water Resources Res.26, 1631–1637.
Hsieh, P. A., Tracy, J. V., Neuzil, C. E., Bredehoeft, J. D., andSilliman, S. E., (1981),A Transient Laboratory Method for Determining the Hydraulic Properties of Tight Rocks, I. Theory, Int. J. Rock Mech. Min. Sci. and Geomech. Abstr.18, 245–252.
Kranz, R. L., Saltzman, J. S., andBlacic, J. D. (1990),Hydraulic Diffusivity measurements on Laboratory Rock Samples Using an Oscillating Pore Pressure Method, Int. J. Rock. Mech. Min. Sci. and Geomech. Abstr.27, 345–352.
Kümpel, H.-J. (1991),Poroelasticity: Parameters Reviewed, Geophys. J. In.105, 783–799.
Narasimhan, T. N., andKanehiro, B. Y. (1980),A Note on the Meaning of Storage Coefficient, Water Resour. Res.16, 423–429.
Neuzil, C. E., andPollock, P. W. (1983),Erosional Unloading and Fluid Pressures in Hydraulically “Tight” Rocks, J. Geology91, 179–193.
Nur, A., andByerlee, J. D. (1971),An Effective Stress Law for Elastic Deformation of Rock with Fluids, J. Geophys. Res.76, 6414–6419.
Oliver, J. (1986),Fluids Expelled Tectonically from Orogenic Belts: Their Role in Hydrocarbon Migration and Other Geological Phenomena, Geology14, 99–102.
Ren, X.,Experimental Determination of Hydraulic Diffusivity of Berea Sandstone (M.S. thesis, University of Wisconsin-Madison 1992).
Rice, J. R., andCleary, M. P. (1976),Some Basic Stress-diffusion Solutions for Fluid-saturated Elastic Porous Media with Compressible Constitutents, Rev. Geophys. Space. Phys.14, 227–241.
Roeloffs, E. (1988),Fault Stability Changes Induced Beneath a Reservoir with Cyclic Variations in Water Level, J. Geophys. Res.93, 2107–2124.
Roeloffs, E., andRudnicki, J. W. (1984/85),Coupled Deformation-diffusion Effects on Water-level Changes due to Propagating Creep Events, Pure Appl. Geophys.122, 560–582.
Rojstaczer, S., andAgnew, D. C. (1989),The Influence of Formation Material Properties on the Response of Water Levels in Wells to Earth Tides and Atmospheric Loading, J. Geophys. Res.94, 12,403–12,411.
Segall, P. (1989),Earthquakes Triggered by Fluid-extraction, Geology17, 942–946
Van Der Kamp, G. andGale, J. E. (1983),Theory of Earth Tide and Barometric Effects in Porous Formations with Compressible Grains, Water Resources Res.19, 538–544.
Wang, H. F., andHart, D. J. (1993),Experimental Error for Permeability and Specific Storage from Pulse Decay Measurements, Int. J. Rock Mech. Min. Sci. and Geomech. Abstr., in press.
Zimmerman, R. W., Somerton, W. H., andKing, M. S. (1986),Compressibility of Porous Rocks, J. Geophys. Res.91, 12,765–12,777.
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Wang, H.F. Quasi-static poroelastic parameters in rock and their geophysical applications. PAGEOPH 141, 269–286 (1993). https://doi.org/10.1007/BF00998332
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DOI: https://doi.org/10.1007/BF00998332