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The Multipole Expansion for Elastic Waves
Chapter 3 The Point Source Inverse Problem
5 other sections not shown
acoustic emission amplitude assumed Averaged function s(t axis body force calculated capillary cartesian coordinates cartesian tensor Chapter coefficients convergence convolution dependence determine Differentiated source Dirac delta function displacement data Dziewonski elastic waves evaluated experimental frequency functions G given by Eq Green's functions higher order integral inverse method iterative deconvolution least squares linearly independent lowest non-vanishing measured signals medium multipole expansion multipole moments n-th multipole Noisy displacement non-separable non-zero normal displacement numerical function s(t oblique force data obtain orientation parabolic pulse p(t point moment tensor point source inverse Recorded waveforms recovered from 52.5 recovered from noisy reference point sawtooth seismology shown in Figure single receiver source inverse problem source location source time function spherical harmonics Stump and Johnson surface of discontinuity system of equations Taylor series tensile crack source tensor components tensor sources total force unit vector velocity transfer function volume source wave field waveforms for oblique zeroth