Open AccessRadiation from an impulsive line source in an unbounded homogeneous anisotropic medium
Author(s) -
Hijden J. H. M. T.
Publication year - 1987
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1987.tb05232.x
Subject(s) - line source , fourier transform , physics , waveform , anisotropy , computation , line (geometry) , homogeneous , acoustics , radiation , mathematical analysis , computational physics , optics , mathematics , geometry , algorithm , quantum mechanics , voltage , thermodynamics
Summary. The space‐time elastic wave motion generated by an impulsive line source in a homogeneous anisotropic medium is calculated with the aid of the Cagniard‐de Hoop method. Two types of sources are considered in detail, viz. a line source of expansion (model for an explosive source) and a line force (model for a mechanical vibrator). Numerical results are presented for the radiated particle velocity in the medium including those regions of space where shear‐wave triplication occurs. There is a marked difference in the time response observed for the two types of sources and for the different positions of the receiver with respect to the source position. These waveform differences are important when the radiated wave is used to determine experimentally the elastic properties of the medium. As compared with the traditional Fourier‐integral transform method to handle this problem, the computation time with the present method is considerably less.