Converted Wave Static Correction Based On Wavefiled Continuation In Complex Surface

Statics problem is one of seismic data processing. Converted wave statics study now is to become a hot issue at home and abroad. Converted wave statics is the focal point of the P wave from the statics and the receivers S wave static correction form. Including the long-wavelength static correction and short wavelength statics correction, the correction of the low frequency component is called long-wavelength static correction, the correction of high frequency components called short wavelength static correction. We usually ordered the wavelength greater than or close to a change in the length of the delay as long-wavelength static correction, which is smaller than the wavelength of a permutation of a change in the length of the delay as short wavelength static correction. Conventional converted wave statics are generally done first P wave static correction method and conventional P wave treatment is basically the same, and then do processing on the S wave. S wave only slightly different approach. On the surface is undulating, underground areas of simple structure,Consistency of assumptions the surface, through the conversion to the effective identification of the early wave, and the signal to noise ratio better reference Road reasonable selection of traditional converted wave statics can achieve good results. Dramatic ups and downs in the terrain area, reflecting the upward wave is no longer able to meet the assumption of surface consistency, making it difficult to select the same in good continuity, ups and downs flat reference trace, and then signal to noise ratio as compared with seismic data low, would be very difficult to accurately pick up the first wave to convert. Under such conditions, conversion of static correction method can not solve the serious problem of static correction, it will create new distortions, affect subsequent processing. This paper studies the case in the dramatic terrain, how to take full account of elevation in the frequency domain, low-speed belt, gun seized coordinates the factors affecting seismic records, eliminate surface consistent statics assumption caused shortage and higher conversion static correction quality. The focus of this thesis is the FK statics, since John R. Berryhill in 1974 will be based on the introduction of wave equations FK migration to the P wave after static correction, FK method in seismic exploration have been made in many areas of good results . For example: offset, filtering, wavelet transform, curvelet transform, see FK in seismic data processing plays an important role, since the fat in the P wave FK static correction can be achieved very good results, if they could be introduced to the PS wave static correction, with the wave equation to restore the true PS wave wave field, would be a good development. However, and offset filtering is different, undulating surface of the data is not in the same horizontal plane, so in doing the time-frequency conversion time domain and frequency domain variables can not really correspond. If we do direct data on the PS wave frequency conversion, to some degree it and conventional time-lapse effect of almost static correction. Or, if we Fourier transform seismic data directly to obtain the frequency domain and space wave number is the horizontal coordinate corresponds to, instead of the correct corresponding relationship, so O'clock is the frequency corresponding to FK Conversion of static correction key.In response to these questions, this article from the dynamic characteristics of seismic wave propagation proceed to consider how to focus on frequency domain processing of surface fluctuations on the seismic record of the impact of real time frequency corresponds to proposed conversion of wave equation based on wave field continuation of static correction approach, the basic idea is the first seismic data field separation, extraction of the PS wave data, then undulating surface functions according to a new coordinate system transformation, the rise and fall on the detector surface is mapped to the same horizontal plane, the new coordinate system wave equation is derived under the extension formula for the frequency domain, then the focal point of P wave and S wave receivers were some of the depth extension, and finally converted to the original coordinate system, to restore the depth interval of all real wave field, select the appropriate level of base level and remove the base-level record, the record shall be completed statics results. Data query and collection by combining simulation data processing, this largely completed the look of several parts:(1) Describes the theoretical basis of converted wave,Overview of several converted wave statics basic methods,Analysis of the impact of converted wave statics of the main factors,Realized theτ? p transformation of the wave field separation.(2) learning and perfecting the transformation coordinate system conversion wave equation and wave equation extension formula.(3) by ourselves, on the undulating terrain model of elastic wave forward records, which realizes the wave equation in frequency domain extension converted wave static correction algorithm.(4) the method of this article Luzong real data processing and analysis, to prove the feasibility of this method.