Objectif :
The numerical processing of geophysical observations is essencial in order to interpret the data quantitavly. This prossecing must improve the signal/noise ration, and on the other hand it must allow to get the physical quantities which are not contained implicitly in the raw data.
Course description :
- Fourier Transform and Convolution of discrete functions ; synthetic seismic trace
- Numerical filter and contruction of band-pass filters (in frequency and time domain) and recursif filters (IIR and FIR filters).
- Inverse filter, deconvolution or Wiener filter (inverse filter by least square method) and applications.
- Frequency analysis of transitional signals by Fourier method, analytical signal, seismic attributs and Hilbert Transform.
- Time-frequency analysis and wavelette Transform of time series.
Exercises :
Fourier Transform and Convolution; Convolutional model of seismic trace; Sampling of functions and Z Transform; Band-pass and recursif filtres ; Processing of Vibro-Seismic; de Wiener and predictif Filters ; Hilbert Transform and sieismic attributs ; Time-frequencey analysis.