# Revisiting Homomorphic Wavelet Estimation and Phase Unwrapping

@article{Herrera2012RevisitingHW, title={Revisiting Homomorphic Wavelet Estimation and Phase Unwrapping}, author={Roberto Henry Herrera and Mirko van der Baan}, journal={ArXiv}, year={2012}, volume={abs/1205.3752} }

Summary Surface-consistent deconvolution is a standard processing technique in land data to uniformize the wavelet across all sources and receivers. The required wavelet estimation step is generally done in the homomorphic domain since this is a convenient way to separate the phase and the amplitude spectrum in a linear fashion. Unfortunately all surface-consistent deconvolutions make a minimum-phase assumption which is likely to be sub-optimal. Recent developments in statistical wavelet…

## 8 Citations

### Short-time homomorphic wavelet estimation

- Geology, MathematicsArXiv
- 2012

This work explores short-time homomorphic wavelet estimation as a combination of the classical homomorphic analysis and log-spectral averaging using a short-term Fourier transform and increases the number of sample points, thus reducing estimation variances.

### Short-time wavelet estimation in the homomorphic domain

- Geology
- 2012

Wavelet estimation plays an important role in many seismic processes like impedance inversion, amplitude versus offset (AVO) and full waveform inversion (FWI). Statistical methods of wavelet…

### Seismic Wavelet Estimation by Short-time Homomorphic Analysis

- Geology
- 2012

Wavelet estimation plays an important role in many seismic processes like impedance inversion, amplitude versus offset (AVO) and full waveform inversion (FWI). Statistical methods of wavelet…

### Instantaneous frequency and phase without unwrapping

- Geology
- 2017

ABSTRACTThe instantaneous phase of a complex trace is normally computed as an inverse tangent function of the ratio between its imaginary and real parts. This algorithm often produces a discontinuous…

### Estimation of the seismic wavelet through homomorphic deconvolution and well log data: application on well‐to‐seismic tie procedure

- GeologyGeophysical Prospecting
- 2019

This work proposes an approach to estimate the seismic wavelet using the advantages of the homomorphic deconvolution and the deterministic estimation of the wavelet, which uses both seismic and well log data.

### On the seismic wavelet estimative and reflectivity recovering based on linear inversion: Well-to-seismic tie on a real data set from Viking Graben, North Sea

- Geology
- 2020

Tying seismic data to well data is critical in reservoir characterization. In general, the main factors controlling a successful seismic well tie are an accurate time-depth relationship and a…

### Windowless Q‐factor tomography by the instantaneous frequency

- GeologyGeophysical Prospecting
- 2020

The estimation of the Q factor of rocks by seismic surveys is a powerful tool for reservoir characterization, as it helps detecting possible fractures and saturating fluids. Seismic tomography allows…

## References

SHOWING 1-10 OF 13 REFERENCES

### Wavelet Estimation And Blind Deconvolution of Realistic Synthetic Seismic Data By Log Spectral Averaging

- Geology
- 2007

This work introduces a multi-trace approach to wavelet estimation, which assumes that the source wavelet is very uniform across an entire survey, and makes no assumptions on the phase of the wavelet.

### Source shape estimation and deconvolution of teleseismic bodywaves

- Geology
- 1976

We consider the deconvolution of a suite of teleseismic recordings of the same event in order to separate source and transmission path phenomena. The assumption of source uniformity may restrict the…

### HOMOMORPHIC DECONVOLUTION BY LOG SPECTRAL AVERAGING

- Geology
- 1977

A homomorphic system is used to map the convolution of a source function with the impulse response of the earth into the sum of the log spectra of the source function and the earth’s response. If the…

### Phase Unwrapping: A Review of Methods and a Novel Technique

- Physics
- 2007

Computation of the complex cepstrum uses the logarithm, and in complex analysis the logarithm is multi-valued. To compensate, the phase of the complex variable that the logarithm operates on must be…

### THE APPLICATION OF HOMOMORPHIC DECONVOLUTION TO SHALLOW‐WATER MARINE SEISMOLOGY—PART I: MODELS

- Geology
- 1974

The complex cepstrum is investigated mathematically and through models for functions of interest in shallow‐water marine seismology. Association of the slowly varying components of the phase spectrum…

### A statistical approach to the extraction of the seismic propagating wavelet

- Geology
- 1983

A model of the seismic trace is generally given as a convolution between the propagating wavelet and the reflectivity series of the earth and normally it is assumed that a white noise is added to the…

### Surface consistent corrections

- Geology
- 1981

Amplitudes of seismic reflections have been of interest since the first days of exploration seismology. Any change of amplitude or anomalous behavior may be significant, so it is important that the…

### A new phase unwrapping algorithm

- Computer Science
- 1977

A new phase unwrapping algorithm is proposed that combines the information contained in both the phase derivative and the principal value of the phase into an adaptive numerical integration scheme.…

### Factoring high-degree polynomials with applications to geophysics

- Geology
- 2006

Factoring high-degree polynomials has at least two applications to geophysics—accurately finding the minimum phase equivalent to a wavelet, and phase unwrapping. Phase unwrapping is important for…

### Computation of the complex cepstrum by factorization of the z-transform

- Computer Science
- 1977

The factorization method provides a means for evaluating other methods for computing the complex cepstrum by completely factoring its z-transform and summing the easily obtainedcomplex cepstra of the factors.