Abstract
A method of estimating in-situ hydraulic diffusivity of rock masses by means of well-injection history and frequency of induced seismicity is presented. The method is based on the diffusion of injected fluid from a spherical cavity in a poroelastic half-space and the effective stress theory, as proposed byTerzaghi (1925, 1936) andHubbert andRubey (1959). Application of the method to two different regions, one in western New York and the other in Japan, resulted in estimated diffusivities of the order 103 and 104 cm2/sec, respectively. These values lie within the range of published estimates of in-situ diffusivity by other means, a summary of which is presented in tabular form. The calculated diffusivities suggest that the characteristic time of fluid diffusion is close to 0.1, rather than unity, as is sometimes assumed in the literature.
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References
Anderson, D. L., andWhitcomb, J. H. (1973),The dilatancy-diffusion model of earthquake prediction, paper presented at 68th Annual Meeting, Seismol. Soc. Amer., Golden, Colorado, April.
Bell, M. L., andNur, A. (1978),Strength Changes Due to Reservoir-Induced Pore Pressure and Stresses and its Application to Lake Oroville, J. Geophys. Res.83, 4469–4483.
Brace, W. F. (1980),Permeability of Crystalline and Argillaceous Rocks: A Review, Int. J. Rock Mech. Min. Sci.17, 241–251.
Carslaw, H. S., andJaegar, J. C.,Conduction of Heat in Solids (Oxford Univ. Press, Oxford, Great Britain 1959).
Davis, S. N., andTurk, L. J. (1963),Some Hydrogeologic Characteristics of Crystalline Rocks, Report HNS-38 submitted to the Nevada Operations Office, U.S. Atomic Energy Commission, Las Vegas, Nevada.
Fletcher, J. P., andSykes, L. R. (1977)Earthquakes Related to Hydraulic Mining and Natural Seismic Activity in Western New York State, J. Geophys. Res.82 (26), 3767–3780.
Hamilton, R. M., andHealy, J. H. (1969),Aftershocks of the Benham Nuclear. Explosion, Bull. Seismol. Soc. Amer.59, 2271–2281.
Hubbert, M. K., andRubey, W. W. (1959),Role of Fluid Pressure in Mechanics of Overthrust Faulting, Geol. Soc. Amer. Bull.70, 115–166.
Kovach, R. L., Nur, A., Wesson, R. L., andRobinson, R. (1975),Water-Level Fluctuations and Earthquakes of the San Andreas Fault Zone, Geology, 437–440.
Ohtake, M. (1974),Seismic Activity Induced by Water Injection at Matsushiro, Japan, J. Phys. Earth22, 163–176.
Raleigh, C. B., Healy, J. H., andBredehoeft, J. D. (1976),An Experiment in Earthquake Control at Rangely, Colorado, Science191, 1230–1237.
Rice, J. R.,The Mechanics of Earthquake Rupture, inPhysics of the Earth's Interior (ed. A. M. Dziewonski and E. Boschi) (Italian Physical Society, North-Holland, Amsterdam 1980), pp. 555–649.
Rice, J. R., andCleary, M. C. (1976),Some Basic Stress Diffusion Solutions for Fluid-Saturated Elastic Porous Media With Compressible Constituents, Reviews Geophys. Space Phys.14 (2), 227–241.
Rice, J. R., andSimons, D. A. (1976),The Stabilization of Spreading Shear Faults by Coupled Deformation-Diffusion Effects in Fluid-Infiltrated Porous Materials, J. Geophys. Res.81 (29), 5322–5334.
Snow, D. T. (1968),Rock Fracture Spacings, Openings, and Porosities, J. Soil Mech. Found. Div., No. SM1, Proc. A.S.C.E., January, pp. 73–91.
Talwani, P. (1976),Earthquakes Associated With the Clark Hill Reservoir, South Carolina, Eng. Geol.10, 239–253.
Talwani, P., andAcree, S. (1984),Pore Pressure Diffusion and the Mechanism of Reservoir Induced Seismicity, in print, Pageoph.
Terzaghi, K.,Erdbaumechanik auf Bodenphysikalischer (Deuticke, Vienna 1925).
Terzaghi, K. (1936),Relation Between Soil Mechanics and Foundation Engineering, Proc. 1st Intl. Conf. Soil Mech. Found. Eng., Cambridge, Mass.,3, pp. 13–18.
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Li, V.C. Estimation of in-situ hydraulic diffusivity of rock masses. PAGEOPH 122, 545–559 (1984). https://doi.org/10.1007/BF00874616
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DOI: https://doi.org/10.1007/BF00874616