Design of an electrical analog for spherical wave propagation in solid elastic media Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/ng451m670

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  • With the advent of underground testing, the study of the propagation of seismic signals has become of great importance. This thesis investigates the design of electrical analogs to represent the propagation of seismic waves. The analogs developed allow for the study of the effects of variations in the characteristic constants of the medium through which the wave propagates and further allow for the characteristics of the source to be imposed upon the compressional displacement propagation. It is assumed that the source may be represented by a spherical radiator and by solving the wave equation in spherical coordinates, the transfer function for the wave is obtained. The design of the analog is based on this transfer function and through the use of network synthesis, a lumped element network is synthesized. Variation of the elements in the synthesized network will permit the study of the effects of variations in velocity. Poisson's ratio, range, size of the radiator, and excitation functions on the compressional wave propagation. To include the effects of multiple layering, a second analog was designed. This was accomplished by connecting, in tandem, analogs representing single layer of specified thickness. The individual stages of this analog were synthesized using a different method from the one used in the synthesis of the first analog in that they were terminated. The application of the second analog is restricted to the case for which we can assume, within reasonable error, that the spherical wave approaches a plane wave in character.
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