Gravitational and tectonic stresses in anisotropic rock with irregular topography

E. Pan1, B. Amadei1, W.Z. Savage2
1Department of Civil Engineering, University of Colorado, Boulder, CO 80309-0428, U.S.A.
2U.S. Geological Survey, Box 25046, MS 966, Denver CO 80225, U.S.A.

Tài liệu tham khảo

Akhpatelov, 1971, The stressed state of ponderable semi-infinite domains, Armenian Acad. Sci. Mech. Bull., 24, 33 Ter-Martirosyan, 1972, The stressed state of an infinite slope with a curvilinear boundary subject to a field of gravity and percolation, J. Probl. Geomech., 5, 81 Ter-Martirosyan, 1974, The stressed state of rock masses in a field body forces, 569 Savage, 1985, Gravitational stress in long symmetric ridges and valleys, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 22, 291, 10.1016/0148-9062(85)92061-3 McTigue, 1981, Gravity induced stresses near topography of small slopes, J. Geophys. Res., 86, 9268, 10.1029/JB086iB10p09268 McTigue, 1987, Gravity induced stresses near axisymmetric topography of small slopes, Int. J. Num. Anal. Methods Geomech., 11, 257, 10.1002/nag.1610110304 Liu, 1992, The effect of topography on the state of stress in the crust: Application to the site of the Cajon Pass Scientific Drilling Project, J. Geophys. Res., 97, 5095, 10.1029/91JB01355 Liao, 1992, Gravitational stresses in anisotropic ridges and valleys with small slopes, J. Geophys. Res., 97, 3325, 10.1029/91JB02960 Harrison, 1976, Gravity and topographic effects in tilt and strain measurement, J. Geophys. Res., 81, 319, 10.1029/JB081i002p00319 McTigue, 1984, Topographic amplification of tectonic displacement: Implications for geodetic measurement of strain changes, J. Geophys. Res., 89, 1123, 10.1029/JB089iB02p01123 Meertens, 1986, Topographic effect on tilt, strain, and displacement measurements, J. Geophys. Res., 91, 14,057, 10.1029/JB091iB14p14057 Savage, 1986, Tectonic and gravitational stress in long symmetric ridges and valleys, J. Geophys. Res., 91, 3677, 10.1029/JB091iB03p03677 Pan, 1994, Stresses in an anisotropic rock mass with irregular topography, J. Eng. Mech., ASCE, 120, 97, 10.1061/(ASCE)0733-9399(1994)120:1(97) Pan, 1994, Gravitational stresses in long symmetric ridges and valleys in anisotropic rock, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 31, 293, 10.1016/0148-9062(94)90899-0 Lekhnitskii, 1963 Trummer, 1986, An efficient implementation of a conformal mapping method based on the Szegö kernel, SIAM J. Numer. Anal., 23, 853, 10.1137/0723055 Muskhelishvili, 1972 Sarkar, 1988, A limited survey of various conjugate gradient methods for solving complex matrix equations arising in electromagnetic wave interactions, Wave Motion, 10, 527, 10.1016/0165-2125(88)90011-X Muskhelishvili, 1953 Savage, 1992, On the state of stress in the near-surface of the Earth's crust, PAGEOPH, 138, 207, 10.1007/BF00878896 Swolfs, 1985, Topography, stresses, and stability at Yucca Mountain, Nevada, 1121 McGarr, 1978, State of stress in the Earth's crust, Ann. Rev. Earth Planet. Sci., 6, 405, 10.1146/annurev.ea.06.050178.002201 Gough, 1987, Stress near the surface of the Earth, Ann. Rev. Earth Planet. Sci., 15, 545, 10.1146/annurev.ea.15.050187.002553 McGarr, 1988, On the state of lithospheric stress in the absence of applied tectonic forces, J. Geophys. Res., 93, 13,609, 10.1029/JB093iB11p13609 Amadei, 1992, Gravitational stresses in anisotropic rock masses with inclined strata, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 29, 225, 10.1016/0148-9062(92)93657-6 Amadei, 1987, Gravitational stresses in anisotropic rock masses, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 24, 5, 10.1016/0148-9062(87)91227-7 Knill, 1968, Geotechnical significance of some glacially induced rock discontinuities, Bull. Assoc. Eng. Geol., 5, 49 Matheson, 1973, Geological implications of valley rebound, Can. J. Earth Sci., 10, 961, 10.1139/e73-085 Silvestri, 1983, Exact determination of gravity stresses in finite elastic slopes: Part. I. Theoretical considerations, Can. Geotech. J., 20, 47, 10.1139/t83-005 Silvestri, 1983, Exact determination of gravity stresses in finite elastic slopes: Part. II. Applications, Can. Geotech. J., 20, 55, 10.1139/t83-006 Swolfs, 1986, Topographic modification of in situ stress in extensional and compressional tectonic environments, 89