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TitreExact Green's functions using leaking modes for axisymmetric boreholes in solid elastic media
AuteurHaddon, R A W
SourceGeophysics vol. 54, no. 5, 1989 p. 609-620, https://doi.org/10.1190/1.1442688
Année1989
Séries alt.Commission géologique du Canada, Contributions aux publications extérieures 23487
ÉditeurSociety of Exploration Geophysicists
Documentpublication en série
Lang.anglais
DOIhttps://doi.org/10.1190/1.1442688
Mediapapier; en ligne; numérique
Formatspdf
Sujetsfonction de green; méthodes statistiques; trous de mine; méthode de fourier; géomathématique
Illustrationscharts
Résumé(disponible en anglais seulement)
By choosing appropriate paths of integration in both the complex frequency omega and complex wavenumber k planes, exact Green's functions for elastic wave propagation in axisymmetric fluid-filled boreholes in solid elastic media are expressed completely as sums of modes. There are no contributions from branch line integrals. The integrations with respect to k are performed exactly using Cauchy residue theory. The remaining integrations with respect to omega are then carried out partly by using the fast Fourier transform (FFT) and partly by using another numerical method. Provided that the number of points in the FFT can be taken sufficiently large, there are no restrictions on distance. The method is fast, accurate, and easy to apply.
GEOSCAN ID126898