Research of Dynamic Deconvolution Method in Time-frequency Domain

doi:10.11885/j.issn.1674-5086.2014.12.29.01

Abstract

Abstract:

Most methods for improving the resolution of seismic data are usually based on the traditional static convolution
model，which are inconsistent with the actual propagation law of seismic wavelet in inhomogeneous media. Therefore，based on
the dynamic convolution model，this paper combines attenuation and absorption characteristics of seismic wave，and proposes a
dynamic deconvolution method based on time-frequency domain. This method introduces the good multi-resolution characteristic
of GST（generalized S transform）into the processing procedure of dynamic deconvolution for seismic data. Firstly，GST
of non-stationary seismic records can be approximately presented as the product of Fourier transform of static source wavelet，
time-frequency attenuation function and GST of the reflection coefficient. And then we use polynomial fitting to smooth the
time-frequency spectral of non-stationary seismic records，thus dynamic propagation wavelet and the reflection coefficient of
formation can be estimated. The method of this paper does not need calculate the value of Q directly，and it is applicable in the
situation that the value of Q is changed. The processed results for both theoretical model and real 3D seismic data validate that
this method not only can improve the resolution of the seismic data，but also can compensate efficiently the energy attenuation
caused by deep formation absorption.

Key words: generalized S transform, amplitude spectrum, dynamic deconvolution, seismic resolution, absorption attenuation

Wang Yuanjun1, Zhou Huailai1，2，3. Research of Dynamic Deconvolution Method in Time-frequency Domain[J]. 西南石油大学学报(自然科学版), DOI: 10.11885/j.issn.1674-5086.2014.12.29.01.

0
/ / Recommend

Add to citation manager EndNote|Ris|BibTeX

URL: http://journal15.magtechjournal.com/Jwk_xnzk/EN/10.11885/j.issn.1674-5086.2014.12.29.01

http://journal15.magtechjournal.com/Jwk_xnzk/EN/Y2015/V37/I1/1

References

[1] Robinson E A，Treitel S. Principles of digital Wiener

filtering[J]. Geophysical Prospecting，1967，15（3）：

311– 332.

[2] Clarke G K C. Time-varying deconvolution filters[J]. Geophysics.

1968，33：936 –944.

[3] Koehler F，Taner M T. The use of the conjugate-gradient

algorithm in the computation of predictive deconvolution

operators[J]. Geophysics. 1985，50：2752– 2758.

[4] Rosa A L R. Processing via spectral modeling[J]. Geophysics.

1991，56（8）：1244 –1251.

[5] 赵波，俞寿朋，聂勋碧，等. 谱模拟反褶积及其应用[J].

石油地球物理勘探，1996，31（1）：101–115.

Zhao Bo，Yu Shoupeng，Lie Xunbi，et al. Spectralmodeled

deconvolution and its application[J]. Oil Geophysical

Prospecting. 1996，31（1）：101– 115.

[6] 孙成禹. 谱模拟方法及其在提高地震资料分辨率中的

应用[J]. 石油地球物理勘探，2000，35（12）：27–34.

Sun Chengyu. Spectrum modeling method and its application

to seismic resolution improvement[J]. Oil Geophysical

Prospecting，2000，35（12）：27–34.

[7] 唐博文，赵波，吴艳辉，等. 一种实现谱模拟反褶积的

新途径[J]. 石油地球物理勘探，2010，45（11）：66– 70.

Tang Bowen，Zhao Bo，Wu Yanhui，et al. A new way to

realize spectral modeling deconvolution[J]. Oil Geophysical

Prospecting，2010，45（1）：66– 70.

[8] Margrave G F，Lamoureux M P. Gabor deconvolution[R].

CREWES Research Report. 2001，13：241 –276

[9] Margrave G F，Lamoureux M P，Grossman J P，et al. Gabor

deconvolution of seismic data for source waveform

and Q correction[C]. 72th Annual International Meeting，

SEG，Expanded Abstracts，2002：2190 –2193

[10] Montana C A，Margrave G F. Surface-consistent Gabor

deconvolution[C]. 76th Annual International Meeting，

SEG，Expanded Abstracts，2006：2812 –2816.

[11] Margrave G F，Lamoureux M P，Henley D C. Gabor deconvolution：

Estimating reflectivity by nonstationary deconvolution

of seismic data[J]. Geophysics，2011，76（3）：

W15–W30.

[12] Hale D. Q adaptive deconvolution[J]. Standford Exploration

Projece，1982，30：133– 158.

[13] Futterman W I. Dispersive body waves[J]. Journal of Geophysical

Research，1962，67（13）：5279– 5291

[14] 裴江云，何樵登. 基于Kjartansson 模型的反Q 滤波[J].

地球物理学进展，1994，9（1）：90–99.

Pei Jiangyun，He Qiaodeng. Inverse Q filtering according

to Kjartansson model[J]. Progress in Geophysics，1994，

9（1）：90– 99.

[15] Kjartansson E. Constant Q wave propagation and attenuation[

J]. Jouranl of Geophysical Research，1979，84：

4737– 4748.

[16] Wang Y H. A stable and efficient approach of inverse Q

filtering[J]. Geophysics，2002，67（2）：657– 663.

[17] Wang Y H. Inverse Q filtering for seismic resolution enhancement[

J]. Geophysics，2006，71（3）：51– 61

[18] Zhang C，Ulrych T J. Seismic absorption compensation：

A least – squares inverse scheme[J]. Geophysics，2007，

72（6）：R109– R114.

[19] 姚振兴，高星，李维新. 用于深度域地震剖面衰减与

频散补偿的反Q 滤波方法[J]. 地球物理学报，2003，

46（2）：229– 233.

Yao Zhenxing，Gao Xing，Li Weixin. The forward Q

method for compensating attenuation and frequency dispersion

used in the seismic profile of depth domain[J].

Chinese Journal of Geophysics. 2003，46（2）：229– 233.

[20] Durak L，Arikan O. Short-time Fourier transform：

Two fundamental properties and optimal implementation[

J]. IEEE Trans. on signal Processing，2003，51（5）：

1231 –1242.

[21] Gabor D. Theory of Communication[J]. Journal of IEEE，

1946，93（3）：429 –457.

[22] Rioul O，Vetterli M. Wavelets and signal processing[J].

IEEE Signal Processing，1991，8（4）：14– 38.

[23] Stockwell R G，Mansinha L，Lowe R P. Localization of

the complex spectrum：The S transform[J]. IEEE Transactions

on signal processing，1996，44（4）：998–1001.

[24] McFadden P D，Cook J G，Forster L M. Decomposition

of gear vibration signals by generalized S-transform[J].

Mechnical Systems and Signal Process，1999，13（4）：

691– 707.

[25] Pinnegar C R，Mansinha L. The S-transform with windows

of arbitrary and varying shape[J]. Geophysics，

2003，68（1）：381 –385.

[26] 高静怀，陈文超，李幼铭，等. 广义S 变换与薄互层地

震响应分析[J]. 地球物理学报，2003，46（4）：526–532.

Gao Jinghuai，Chen Wenchao，Li Youming，et al. Generalized

S transform and seismic response analysis of thin interbeds[

J]. Chinese Journal of Geophysics，2003，46（4）：

526– 532.

[27] Margrave G F. Theory of nonstationary linear filtering in

the Fourier domain with application to time-variant filtering[

J]. Geophysics，1998，63：244–259.