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• W2156868145 abstract "The disturbance due to a line source buried within an elastic, homogeneous and isotropic half-space represents a most interesting problem of theoretical seismology. Exact formal solutions have been published by a number of investigators, but the integrals which appeared in their solutions could be evaluated only approximately at large distances from the source. As a result, the behaviour at intermediate distances or close to the epicentre could not be investigated analytically. This paper discusses a different approach to the problem. It is shown that the use of Laplace transform techniques and of a suitable contour in the complex plane reduce the complexity of the problem to a point where no integration is required. The surface displacements as a function of time and position are found to be expressible in terms of algebraic functions in closed form. The case of a source displacement consisting of a sudden rise followed by a gradual recovery is considered in detail. Graphs are presented which show the vertical and horizontal surface displacement as a function of time, at different distances from the epicentre and for different values of Poisson’s ratio." @default.
• W2156868145 created "2016-06-24" @default.
• W2156868145 creator A5004174374 @default.
• W2156868145 date "1956-03-06" @default.
• W2156868145 modified "2023-09-26" @default.
• W2156868145 title "Exact transient solution of the buried line source problem" @default.
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• W2156868145 doi "https://doi.org/10.1098/rspa.1956.0055" @default.
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