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SSP 1994 project summary:
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Modelling of Near-Field Properties of Seismic Wave in an Anisotropic Medium
In seismic monitoring of hydrocarbon reservoirs, the process of
excitation, propagation and recording of important three-component
seismic data is far from satisfactory. In a heterogeneous medium, many
effects exist which cannot be directly assigned to either the source,
medium or receiver. Further analysis is requried to help make this
distinction clearer, so that the target zone may be resolved with
confidence. The computation of complete body wave radiation from a
seismic source in a homogeneous isotropic medium (2 elastic constants)
does not pose anyu special probelms because the analytic form of
Green's function exists for such a medium. However, no anlaytic
solutions are as yet available for the case of a general anisotropic
medium (21 elastic constants defining the microscale heterogeneity)
The anisotropic case is particularly important as it provides a way of
simulating heterogeneities and fractures around the source region.
Fortunately, computations for the anisotropic medium can be achieved
numerically. A 2d finite difference method based upon the
elastodynamic equation of motion has been developed to study this
problem.
The current simulation uses a finite different scheme which cannot
compute displacements further than several wavelengths from the source
due to inherent limitations of the hardware - principally time but
also space. This prevents us from examining the impact of the
near-field terms on tha actual recorded far-field radiation. In
addition, there is no satisfactory way of simultaneously visualizing
the results - directionally dependent wave properties of polarization,
slowness and amplitude. This is required for a more thorough analysis
of this effect.
The project involves the adaptation of the current finite difference
code to run on a parallel machine. This will then be run and tested
for different VSP (vertical seismic profile) geometries. Finally it is
hoped that detailed visualization of polarization properties and
slowness surfaces for seismic waves generated by a source embedded in
an unbounded isotropic anisotropic medium will then be possible.
Sergio Damas
Arroyo worked on this project.
Compressed PostScript of Sergio's final report is available here
(489867 bytes) .