Biến dạng bề mặt do các lỗi cắt và kéo trong một nửa không gian
Tóm tắt
A suite hoàn chỉnh các biểu thức phân tích khép kín được trình bày cho các dịch chuyển bề mặt, biến dạng và nghiêng do các lỗi cắt và kéo nghiêng trong một nửa không gian đối với cả nguồn điểm và nguồn hình chữ nhật hữu hạn. Các biểu thức này đặc biệt ngắn gọn và không có điểm đơn vị trường vốn có trong các biểu thức đã được nêu ở những trường hợp trước đó. Các biểu thức được phát triển ở đây đại diện cho những công cụ mạnh mẽ không chỉ cho việc phân tích các thay đổi trường tĩnh liên quan đến sự xuất hiện của động đất mà còn cho việc mô hình hóa các trường biến dạng phát sinh từ các nguồn nứt do chất lỏng gây ra.
Từ khóa
Tài liệu tham khảo
Alewine R. W. (1974). Application of linear inversion theory toward the estimation of seismic source parameters, Ph.D. Thesis, California Institute of Technology, Pasadena, California, 303 pp.
Ben-Menahem, (1970), Crustal deformation by earthquakes and explosions, Bull. Seism. Soc. Am., 60, 193, 10.1785/BSSA0600010193
Ben-Menahem, (1969), Static deformation of a spherical earth model by internal dislocations, Bull. Seism. Soc. Am., 59, 813, 10.1785/BSSA0590020813
Ben-Menahem, (1970), Deformation of an homogeneous earth model by finite dislocations, Rev. Geophys. Space Phys., 8, 591, 10.1029/RG008i003p00591
Berry, (1962), An elastic treatment of ground movement due to mining. III. Three dimensional problem, transversely isotropic ground, J. Mech. Phys. Solids, 10, 73, 10.1016/0022-5096(62)90030-3
Chinnery, (1961), The deformation of ground around surface faults, Bull. Seism. Soc. Am., 51, 355, 10.1785/BSSA0510030355
Chinnery, (1963), The stress changes that accompany strike-slip faulting, Bull. Seism. Soc. Am., 53, 921, 10.1785/BSSA0530050921
Chinnery, (1972), Effect of earth layering on earthquake displacement fields, Bull. Seism. Soc. Am., 62, 1629, 10.1785/BSSA0620061629
Comminou, (1975), The angular dislocation in a half space, J. Elasticity, 5, 203, 10.1007/BF00126985
Davis, (1983), Surface deformation associated with a dipping hydrofracture, J. Geophys. Res., 88, 5826, 10.1029/JB088iB07p05826
Edge, (1981), Borehole tilt measurements: aperiodic crustal tilt in an aseismic area, Tectonophysics, 71, 97, 10.1016/0040-1951(81)90052-4
Edge, (1981), Some results from simultaneously recording borehole tiltmeters, Proceedings of the 9th International Symposium on Earth Tides, 9
Evans, (1984), Water table effects on the measurement of earth strain, Tectonophysics, 108, 323, 10.1016/0040-1951(84)90242-7
Ishii, (1967), Theoretical study on the crustal movements. Part I. The influence of surface topography (two-dimensional SH-torque source), Sci. Rep. Tohoku Univ. Serv. 5, Geophys., 19, 77
Ishii, (1967), Theoretical study on the crustal movements. Part II. The influence of horizontal discontinuity, Sci. Rep. Tohoku Univ., Ser. 5, Geophys., 19, 95
Iwasaki, (1979), Strain field in a semi-infinite medium due to an inclined rectangular fault, J. Phys. Earth, 27, 285, 10.4294/jpe1952.27.285
Jovanovich, (1974), Elastic dislocations in a layered half-space. I. Basic theory and numerical methods, Geophys. J. R. Astr. Soc., 39, 205, 10.1111/j.1365-246X.1974.tb05451.x
Jovanovich, (1974), Elastic dislocations in a layered halfspace. II. The point source, Geophys. J. R. Astr. Soc., 39, 219, 10.1111/j.1365-246X.1974.tb05452.x
Kasahara, (1983), On the cause of long-period crustal movement, Tectonophysics, 97, 327, 10.1016/0040-1951(83)90161-0
Maruyama, (1964), Statical elastic dislocations in an infinite and semi-infinite medium, Bull. Earthquake Res. Inst., Tokyo Univ., 42, 289
Mansinha, (1967), Effect of earthquakes on the Chandler wobble and the secular polar shift, J. Geophys. Res., 72, 4731, 10.1029/JZ072i018p04731
Mansinha, (1971), The displacement fields of inclined faults, Bull. Seism. Soc. Am., 61, 1433, 10.1785/BSSA0610051433
Matsu'ura, (1977), Inversion of geodetic data. Part I. Mathematical formulation, J. Phys. Earth, 25, 69, 10.4294/jpe1952.25.69
Matsu'ura, (1975), Static deformation due to the fault spreading over several layers in a multi-layered medium. Part II. Strain and tilt, J. Phys. Earth, 23, 1, 10.4294/jpe1952.23.1
Matsu'ura, (1980), Quasi-static deformations due to an inclined, rectangular fault in a viscoelastic half-space, J. Phys. Earth, 28, 103, 10.4294/jpe1952.28.103
McGinley J. R. (1969). A comparison of observed permanent tilts and strains due to earthquakes with those calculated from displacement dislocations in elastic earth models, Ph.D. Thesis, California Institute of Technology, Pasadena, California.
McHugh, (1977), Surface shear stress, strain and shear displacement for screw dislocations in a vertical slab with shear modulus contrast, Geophys. J. R. Astr. Soc., 49, 715, 10.1111/j.1365-246X.1977.tb01314.x
Mikumo, (1973), Faulting mechanism of the Gifu Earthquake of September 9, 1969, and some related problems, J. Phys. Earth, 21, 191, 10.4294/jpe1952.21.191
Niewiadomski, (1984), The stress field induced by antiplane shear cracks—Application to earthquake study, Bull. Earthquake Res. Inst., Tokyo Univ., 59, 67
Okada, (1975), Strain- and tilt-steps associated with the two earthquakes, which occurred in the east off Hachijojima, Japan, on February 29 and December 4, 1972, Zisin, 28, 387, 10.4294/zisin1948.28.4_387
Okada, (1980), Strain- and tilt-steps associated with the Izu-Hanto-Oki earthquake of 1974 and Izu-Oshima-Kinkai earthquake of 1978, Zisin, 33, 525, 10.4294/zisin1948.33.4_525
Press, (1965), Displacements, strains and tilts at tele-seismic distances, J. Geophys. Res., 70, 2395, 10.1029/JZ070i010p02395
Rongved, (1958), Displacement discontinuity in the elastic half-space, J. Appl. Mech., 25, 125, 10.1115/1.4011700
Rybicki, (1971), The elastic residual field of a very long strike slip fault in the presence of a discontinuity, Bull. Seism. Soc. Am., 61, 79, 10.1785/BSSA0610010079
Rybicki, (1978), Static deformation of a laterally inhomogeneous half-space by a two-dimensional strike-slip fault, J. Phys. Earth, 26, 351, 10.4294/jpe1952.26.351
Rybicki, (1977), A strike-slip fault in a laterally inhomogeneous medium, Tectonophysics, 42, 127, 10.1016/0040-1951(77)90164-0
Sato, (1980), Development of the crustal tilt observation method using borehole-type tiltmeters, Zisin, 33, 343, 10.4294/zisin1948.33.3_343
Sato, (1971), Crustal deformation due to dislocation in a multi-layered medium, J. Phys. Earth, 19, 31, 10.4294/jpe1952.19.31
Sato, (1974), Static deformations in an obliquely layered medium. Part I. Strike-slip fault, J. Phys. Earth, 22, 455, 10.4294/jpe1952.22.455
Sato, (1973), Static deformations due to the fault spreading over several layers in a multi-layered medium. Part I. Displacement, J. Phys. Earth, 21, 227, 10.4294/jpe1952.21.227
Sato, (1974), Strains and tilts on the surface of a semi-infinite medium, J. Phys. Earth, 22, 213, 10.4294/jpe1952.22.213
Sato, (1975), Static deformations in an obliquely layered medium. Part II. Dip-slip fault, J. Phys. Earth, 23, 113, 10.4294/jpe1952.23.113
Savage, (1966), Surface deformation associated with dip-slip faulting, J. Geophys. Res., 71, 4897, 10.1029/JZ071i020p04897
Segall, (1984), Vertical displacements from a dip slip fault beneath surface topography
Shichi, (1979), Strain measurement in the vault, J. Geod. Soc. Japan, 25, 101
Singh, (1970), Static deformation of a multilayered half-space by internal sources, J. Geophys. Res., 75, 3257, 10.1029/JB075i017p03257
Smylie, (1971), The elasticity theory of dislocations in real earth models and changes in the rotation of the earth, Geophys. J. R. Astr. Soc., 23, 329, 10.1111/j.1365-246X.1971.tb01824.x
Steketee, (1958), On Volterra's dislocation in a semi-infinite elastic medium, Can. J. Phys., 36, 192, 10.1139/p58-024
Takemoto, (1967), The observation of crustal deformations at Iwakura, Kyoto, (I), Annuals Disas. Prev. Res. Inst., Kyoto Univ., 10A, 157
Takemoto, (1981), Effects of local inhomogeneities on tidal strain measurements, Bull. Disas. Prev. Res. Inst., Kyoto Univ., 31, 211
Takemoto, (1983), Effects of meteorological and hydrological changes on ground-strain measurements, Bull. Disas. Prev. Inst., Kyoto Univ., 33, 15
Tanaka, (1967), Study on the relation between local earthquakes and minute ground deformation (Part 4. On spectral structures of the tiltgrams observed at Akibasan, Wakayama City), Bull. Disas. Prev. Res. Inst., Kyoto Univ., 17, 1
Tanaka, (1979), Effects of rainfalls on tiltmetric and extensometric records and their simulation, J. Geod. Soc. Japan, 25, 91
Wyatt, (1982), Displacement of surface monuments—Horizontal motion, J. Geophys. Res., 87, 979, 10.1029/JB087iB02p00979
Wyatt, (1984), Comparing tiltmeters for crustal deformation measurement—A preliminary report, Geophys. Res. Letters, 11, 963, 10.1029/GL011i010p00963
Yamauchi, (1981), A simulation of strain responses to rainfall, J. Geod. Soc. Japan, 27, 40
Yamazaki, (1975), The strains and tilts at the free surface due to an inclined fault—Differential formulae of the displacement fields given by Mansinha and Smylie, Zisin, 28, 215, 10.4294/zisin1948.28.2_215
Yamazaki, (1978), Theory of crustal deformation due to dilatancy and quantitative evaluation of earthquake precursors, Sci. Rep. Tohoku Univ., Ser. 5, Geophys., 25, 115
Yanagisawa, (1980), Rainfall effect on the tilt observations at Usami, the Izu Peninsula, J. Geod. Soc. Japan, 26, 187