The anisotropic reflectivity technique: theory

Summary. The reflectivity technique for the calculation of synthetic seismograms from a point source in a horizontally stratified isotropic structure is extended to include weakly anisotropic layers. The formulation is in terms of displacement excitation factors rather than potential functions, which have not yet been specified for wave propagation in anisotropic media. Coupling between vertical, radial and transverse components of motion increases the number of plane-wave reflection and transmission coefficients which must be computed for any problem. These coefficients are calculated by extending Kennett’s iterative scheme for the computation of isotropic coefficients to

[1]  Stuart Crampin,et al.  The Dispersion of Surface Waves in Multilayered Anisotropic Media , 1970 .

[2]  S. Crampin,et al.  The variation of delays in stress-induced anisotropic polarization anomalies , 1981 .

[3]  J. Hudson.  A Quantitative Evaluation of Seismic Signals at Teleseismic Distances—I Radiation from Point Sources , 1969 .

[4]  Ralph A. Stephen,et al.  Synthetic seismograms for the case of the receiver within the reflectivity zone , 1977 .

[5]  Stuart Crampin,et al.  Interpretation of synthetic common-depth-point gathers for a single anisotropic layer , 1982 .

[6]  K. Fuchs,et al.  Computation of Synthetic Seismograms with the Reflectivity Method and Comparison with Observations , 1971 .

[7]  Freeman Gilbert,et al.  Propagator matrices in elastic wave and vibration problems , 1966 .

[8]  Stuart Crampin,et al.  A review of wave motion in anisotropic and cracked elastic-media , 1981 .

[9]  S. Crampin,et al.  Observations of dilatancy-induced polarization anomalies and earthquake prediction , 1980, Nature.

[10]  S. Crampin,et al.  The polarization of P-waves in anisotropic media , 1982 .

[11]  S. Crampin,et al.  Seismic body waves in anisotropic media: Reflection and refraction at a plane interface , 1977 .

[12]  B. Kennett,et al.  Seismic waves in a stratified half space. , 1979 .

[13]  S. Crampin.  A review of the effects of anisotropic layering on the propagation of seismic waves , 1977 .

[14]  W. Pilant.  Elastic waves in the earth , 1979 .

[15]  S. Crampin,et al.  Seismic body waves in anisotropic media: synthetic seismograms , 1977 .

[16]  Stuart Crampin,et al.  Seismic-wave propagation through a cracked solid: polarization as a possible dilatancy diagnostic , 1978 .

[17]  S. Crampin,et al.  Seismic body waves in anisotropic media: propagation through a layer , 1977 .

[18]  Vlastislav Cerveny,et al.  Theory of Seismic Head Waves , 1971 .

[19]  D. Taylor,et al.  Surface waves in anisotropic media: propagation in a homogeneous piezoelectric halfspace , 1978, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[20]  B. Kennett,et al.  Reflections, rays, and reverberations , 1974, Bulletin of the Seismological Society of America.

[21]  S. Crampin.  Palaeoanisotropy in the upper mantle , 1977, Nature.

[22]  R. Kind,et al.  Computations of SV waves in realistic Earth models , 1975 .