Comparison of Some Seismic Imaging Techniques
Scalar wave theory is applied to solve three-dimensional seismic imaging problems. Different ways of implementing the solutions lead to various migration techniques where the areal distribution of subsurface reflection coefficients is obtained. Current widely used migration techniques are the Kirchhoff summation method, the frequency domain method and the finite difference method. Other algorithms include the use of Fresnel imaging, Fraunhofer imaging, the lensless Fourier transform holography and the wave vector diversity concepts to generate subsurface images.
Fundamental differences and similarities among these algorithms are compared on a theoretical basis. The mathematical basis of each of the above-mentioned techniques is cast into a similar integral form for comparison and implementation. Medium homogeneity is assumed in the analysis for simplicity. A set of synthetic time sections is generated; the migrated sections using these different migration algorithms are compared. Major differences in the images are observed with some explanations.
KeywordsFinite Difference Technique Migration Algorithm Acoustical Holography Migration Technique Delay Curve
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