Equivalent Body Forces in Fluid Saturated Porous Medium for Seismic Dislocation

碩士 === 國立臺灣大學 === 應用力學研究所 === 82 === The dynamics of fluid-saturated porous media is a subject with application in numerous branches of science and engineering, inc- luding geophysics, seismology, civil and mechanical engineering. Extendin...

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Bibliographic Details
Main Authors: Wen-I Liao, 廖文義
Other Authors: Chau-Shioung Yeh
Format: Others
Language:zh-TW
Published: 1994
Online Access:http://ndltd.ncl.edu.tw/handle/87447626476337091629
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Summary:碩士 === 國立臺灣大學 === 應用力學研究所 === 82 === The dynamics of fluid-saturated porous media is a subject with application in numerous branches of science and engineering, inc- luding geophysics, seismology, civil and mechanical engineering. Extending the work of Terzaghi for soil consolidation, Biot formulatedthe governing equation for the two phases(solid and fluid) based on the assumption that the solid obeys the the laws of linear elasticity and the fluid obeys Darcy's law. According to this theory, a dynamic disturbance produces two longitudinal( dilatational) waves and one transverse(shear) wave in the media. The mathematical description of internal seismic sources has classically been pursued along two different lines:first, in of a body force applied to certain elements of the medium containing the source; and second, by some discontinuity in displacement or strain, The second approach can usefully be incorporated into the first. The explicit expression for the elastic media is derived by Burridge and Knopoff for the equivalent body force due to displacement. In this thesis we are begin with the Biot' s theory of poro-elasticity media and following the concepts of body force equivalents for the elastic-media, to derive the expression for the body force to be applied in the absence of a dislocation, which produces radiation identical to that of the dislocation. Since in porous media, the body force are divided into solid part and fluid part, we find that for the slip faults only the body force of solid part are presents, but for the separated faults both of solid and fluid parts are presents, and the relative equivalent body force of fluid part is characterized as a "fluid volume injection". At the end, we consideration of the radiation due to force couple, fundmental solutions and some approximation are given.