AVF inversion based on analytical solution of viscous acoustic equation
YANG Wuyang1, LI Yuanqiang2, HUANG Yan3, LI Jingye2, WANG Enli1, ZHOU Chunlei1
1. Northwest Branch, Research Institute of Petroleum Exploration & Development, PetroChina, Lanzhou, Gansu 730020, China; 2. College of Geophysics, China University of Petroleum (Beijing), Beijing 102249, China; 3. Research Institute of Exploration and Development, Changqing Oilfield Company, PetroChina, Xi'an, Shaanxi 710018, China
Abstract：The P-wave attenuation and dispersion are the main reasons for the attenuation of PP wave seismic records. Therefore, in theory, only the post-stack seismic data of the PP wave is required for AVF inversion and the subsequent acquisition of P-wave dispersion factor that can indicate the fluid area. However, the AVF inversion method based on the traditional single-interface assumption is not satisfactory and is controversial in many aspects. So, an AVF inversion method based on the analytical solution of the zero-offset viscous acoustic equation is proposed. The process is as follows:①The time-frequency spectra of seismic records are calculated by a time-frequency spectrum method. ②With seismic records, wavelets are extracted to eliminate the wavelet overprints in seismic data and thereby obtain the time-frequency spectra of the reflection coefficients. ③According to the viscous acoustic equation, wave impedance inversion is carried out to obtain more accurate impedance parameters and thus to calculate the Fréchet derivative. ④An AVF inversion equation is formulated in view of the derivative matrix. Then, appropriate reference frequency points and frequency points involved in the calculation are selected to acquire the high-precision dispersion attributes through inversion. Numerical simulation and actual data tests show that interface dispersion has little effect on seismic records and the AVF effect of the propagation process is much greater than that caused by interface dispersion. The accuracy and resolution of the proposed method are significantly higher than those of the traditional single-interface AVF inversion.
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