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By Editorial Committee of Advances in Geophysical Res Editorial Committee of Advances in Geophysical Res

ISBN-10: 0080363903

ISBN-13: 9780080363905

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Gubbins, Travel time inversion for simultaneous earthquake location and velocity struc­ ture determination in laterally varying media, Geophys. J. R. Astron. Soc, 63, 1, 95— 116, 1980. Wiggins, R. , The general linear problem Implications of surface waves and free oscillations for earth struc­ ture, Rev. Geophys. , 10, 1, 251—285, 1972. Jackson, D. , Interpretation of inaccurate insufficient and inconsistent data, Geophys. J. R. Astron. , 28, 2, 97—110, 1972. Liu Futian, Geophysical inverse problem, Geophysical Prospecting for Petroleum, 20, 3, 23 — 33, 1981 (in Chinese).

In the appraisal of the solution, we can simply use the mean value concept; otherwise, the appraisal would be difficult to understand. For these reasons, in the simultaneous inversion method we should give appropriate consideration to the treatment of these two kinds of parameters. The orthogonal projection operator PB introduced in this paper satisfies such a requirement. Since PB is an orthogonal projection operator from Rm into the image space &t ( B)y obviously there is orthogonal decomposition \\t-Cy\\\ =\\PB{t-Cy)\\\+W-PB){t-Cy)\\\ where the first term is the component in the image space 9t (B) of B, and $ (B) is the range of the linear transfor­ mation / defined as f=Bâx, it means in physics that the information provided by & (B) is relevant only to the hypocentral location parameter δχ.

Seism. Soc. , 68, 383— 398. Richter, C. , 1958, Elementary Seismology, Freeman, San Francisco. Rothe, J. , 1969, The Seismicity of the Earth, 1953—1965, UNESCO, Paris. Savarensky, E. F. , 1962, Atlas of Earthquakes in USSR, Nauka, Moscow (in Russian). State Seismological Bureau, 1977, Concise Catalogue of Chinese Earthquakes, Seism. Press, Beijing (in Chinese) . State Seismological Bureau, 1981, Report of Seismic Zoning of China, Seism. Press, Beijing (in Chinese). Taipei Observatory, 1936, History of Taiwan earthquakes, Report of Shinchu-Taichung Strong Earthquakes, 147— 160, Taipei Observatory, Taipei (in Japanese).

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