1 / 21

Complex Trace Attributes

Environmental and Exploration Geophysics II. Complex Trace Attributes. Part 1. tom.h.wilson tom.wilson@mail.wvu.edu. Mathematical operation used to compute the synthetic seismogram. The convolution integral. Seismic Analog.

shanaeh
Download Presentation

Complex Trace Attributes

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Environmental and Exploration Geophysics II Complex Trace Attributes Part 1 tom.h.wilson tom.wilson@mail.wvu.edu Tom Wilson, Department of Geology and Geography

  2. Mathematical operation used to compute the synthetic seismogram The convolution integral Seismic Analog where S is the seismic signal or trace, w is the seismic wavelet, and r is the reflectivity sequence Tom Wilson, Department of Geology and Geography

  3. Physical nature of the seismic response Tom Wilson, Department of Geology and Geography

  4. Convolutional model The output is a superposition of reflections from all acoustic interfaces and the convolution integral is a statement of the superposition principle. Tom Wilson, Department of Geology and Geography

  5. Discrete form of the convolution integral Discrete form of the Convolution Integral As defined by this equation, the process of convolution consists of 4 simple mathematical operations 1) Folding 2) Shifting 3) Multiplication 4) Summation Tom Wilson, Department of Geology and Geography

  6. Seismic Trace Attributes Complex numbers Tom Wilson, Department of Geology and Geography

  7. Tom Wilson, Department of Geology and Geography

  8. Given the in-phase and quadrature components, it is easy to calculate the amplitude and phase or vice versa. Tom Wilson, Department of Geology and Geography

  9. Seismic Data The seismic trace is the “real” or in-phase component of the complex trace How do we find the quadrature component? Tom Wilson, Department of Geology and Geography

  10. The time-domain Hilbert Transform In the time domain the Hilbert Transform consists of a series of values that are asymmetrical in shape: positive to one side and negative to the other. Values in the series are located at odd sample points relative to the middle of the series and diminish in magnitude with odd divisors: 1,3,5, etc. Tom Wilson, Department of Geology and Geography Tanner, Koehler, and Sheriff, 1979

  11. View of Hilbert transform operator in relation to the samples in a seismic trace From Marfurt, 2006, SEG Short Course Tom Wilson, Department of Geology and Geography

  12. Computing the Quadrature Trace Time Series Approach Tom Wilson, Department of Geology and Geography

  13. Recall Frequency Domain versus Time Domain Relationships Tom Wilson, Department of Geology and Geography

  14. Amplitude spectrum Fourier Transform of a time series Phase spectrum Individual frequency components Time-domain wavelets Tom Wilson, Department of Geology and Geography Zero Phase Minimum Phase

  15. Seismic Trace and its Amplitude Spectrum The seismic response is a “real” time series This is its amplitude spectrum Tom Wilson, Department of Geology and Geography

  16. The Fourier Transform of a real function, like a seismic trace, is complex, i.e., it has real and imaginary parts. Symmetrical The real part is even Asymmetrical The imaginary part is odd Tom Wilson, Department of Geology and Geography

  17. Quadrature from the Fourier Transform Frequency domain approach Seismic response of the channel Tom Wilson, Department of Geology and Geography

  18. Tom Wilson, Department of Geology and Geography

  19. Generating Attributes in Kingdom Suite Tom Wilson, Department of Geology and Geography

  20. Instantaneous Frequency Tom Wilson, Department of Geology and Geography

  21. Computer exercise: generating attributes and evaluating their ability to enhance the view of the channel observed in the Gulf Coast 3D volume Tom Wilson, Department of Geology and Geography

More Related