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Summary

Chapter 5 presents the realization of random media for a given power spectral density function for FD simulation of scalar wavelet propagation. We verify the MC simulation results with the ensemble average of the FD simulation results in realized random media for a given power spectral density function.

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This chapter looks at how seismic wave theory relates to transforming seismic wave travel-time data into different representations such as the frequency domain (achieved with a 1D Fourier transform), the frequency-wavenumber domain (achieved with a 2D Fourier transform), and the tau-p domain (or intercept time–ray parameter domain). The reason for transforming seismic data into different domains is that the data may be easier to analyze and interpret in other domains. Furthermore, 1D and 2D filtering can be done often more conveniently in the frequency and frequency-wavenumber domains. Also covered are topics related to the tau-p domain, namely, slant-stacking, plane wave decomposition, and the Hilbert and Radon transforms.

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5 - Finite Difference Simulation of Scalar Wavelet Propagation through Random Media

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6 - Data Transformations

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2 results

5 - Finite Difference Simulation of Scalar Wavelet Propagation through Random Media

Summary

6 - Data Transformations

Summary