Abstract
We investigate migration of fluids through the rock in the stress corrosion process. The fluids migrate along the trajectories of the principal stress field. We study geometry of these trajectories, including singularities, limit cycles, and possible bifurcations. We describe corresponding configurations of weakened zones in the lithosphere due to the fluid migration.
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References
Anderson, O. L., andGrew, P. C. (1977),Stress corrosion theory of crack propagation with application to geophysics, Rev. Geophys. Space Phys.15, 7–104.
Andronov, A. A., Leontovich, E. A., Gordon, I. I., andMayer, A. G.,Qualitative Theory of Second Order Dynamic Systems (in Russian) (Nauka, Moscow 1966).
Andronov, A. A., Leontovich, E. A., Gordon, I. I., andMayer, A. G.,Bifurcation Theory of Dynamic Systems on a Plane (in Russian) (Nauka, Moscow 1967).
Barenblatt, G. I., andChristianovich, S. A. (1968),On the cohesion modulus in the theory of cracks (in Russian), Mech. Tverd. Tela2, 70–75.
Barenblatt, G. I., Vishik, M. M., andKeilis-Borok, V. I. (1981),A model of clustering of earthquakes, Proc. Nat. Acad. Sci. U.S.78, 5284–5287.
Cayley, A. (1863)On differential equations and umbilici, Philos. Mag.26 (Collected Works, Vol. V, paper 330).
Darboux, G.,Lecons sur la Theorie Generale des Surfaces (Vol. 4) (Gauthier-Villars, Paris 1896).
Frost, P. (1870),On the directions of lines of curvature in the neighborhood of an umbilicus, Q. J. Math.10.
Gelfand, I. M., Guberman, Sh. A., Keilis-Borok, V. I., et al. (1976),Pattern recognition applied to earthquake-prone areas in California, Phys. Earth. Planet. Internat.11, 227–283.
Hallbauer, D. K., Wagner, H., andCook, N. G. W. (1973),Some observations concerning the microscopic and mechanical behaviour of quartzite specimens in stiff triaxial cornpression tests, Int. J. Rock Mech. Min. Sci. Geomech. Abstr.10, 713.
Kachanov, M. L. (1982),A microcrack model of rock inelasticity, Mech. Mater.1, 19–42, 123–129.
Nemat-Nasser, S., andHorii, H. (1982),Compression induced non-planar crack extension with application to splitting, exfoliation and rockburst, J. Geophys. Res.87, 6805–6821.
O’Neil, J. R., andHanks, T. C. (1980),Geochemical evidence for interaction of water along the San Andreas fault in central California, J. Geophys. Res.85, 6286.
Pertsov, N. V., andKogan, B. S. (1981),Physicochemical geomechanics (in Russian), Physicochem. Mech. Lyophil. Dispers. Sys.13, 53–64.
Pertsov, N. V., Kogan, B. S., andBalashov, V. N. (1977),Model of intrusion of magma into fractures in the presence of stress corrosion (in Russian), Dok. Akad. Nauk USSR235, 1375–1378.
Porteous, M. (1971),The normal singularities of a submanifold, J. Diff. Geom.5, 543–564.
Rhebinder, P. A., andShtchukin, E. D. (1972),Surface phenomena affecting solids in the process of deformation and fracturing (in Russian), Uspekh. Fiz. Nauk108, 3–42.
Rice, J. R. (1979),Theory of precursory processes in the inception of earthquake rupture, Gerlands Beit. Geophys.88, 91–127.
Sibson, R. H.,Fluid flow accompanying faulting: field evidence and models, InEarthquake Prediction (Am. Geophys. Union, 1981) pp. 593–604.
Thom, R. (1955–56),Les singularités des applications différentiables, Ann. Inst. Fourier6, 43–87.
Thom, R. (1969),Ensembles et morphismes stratifiés, Bull. AMS75, 240–284.
Thorndike, A. S., C. R. Cooley, andJ. F. Nye (1981),The structure and evolution of flow fields and other vector fields, J. of Physics,11, 1455–1490.
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Gabrielov, A.M., Keilis-Borok, V.I. Patterns of stress corrosion: Geometry of the principal stresses. PAGEOPH 121, 477–494 (1983). https://doi.org/10.1007/BF02590152
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DOI: https://doi.org/10.1007/BF02590152