Regularized inversion of amplitude-versus-incidence angle (AVA) based on a piecewise-smooth model
- 31 Downloads
Different from the stacked seismic data, pre-stack data includes abundant information about shear wave and density. Through inversing the shear wave and density information from the pre-stack data, we can determine oil-bearing properties from different incident angles. The state-of-the-art inversion methods obtain either low vertical resolution or lateral discontinuities. However, the practical reservoir generally has sharp discontinuities between different layers in vertically direction and is horizontally smooth. Towards obtaining the practical model, we present an inversion method based on the regularized amplitude-versus-incidence angle (AVA) data to estimate the piecewise-smooth model from pre-stack seismic data. This method considers subsurface stratum as a combination of two parts: a piecewise smooth part and a constant part. To fix the ill-posedness in the inversion, we adopt four terms to define the AVA inversion misfit function: the data misfit itself, a total variation regularization term acting as a sparsing operator for the piecewise constant part, a Tikhonov regularization term acting as a smoothing operator for the smooth part, and the last term to smoothly incorporate a priori information for constraining the magnitude of the estimated model. The proposed method not only can incorporate structure information and a priori model constraint, but also is able to derive into a convex objective function that can be easily minimized using iterative approach. Compared with inversion results of TV and Tikhonov regularization methods, the inverted P-wave velocity, S-wave velocity and density of the proposed method can better delineate the piecewise-smooth characteristic of strata.
KeywordsPre-stack seismic inversion Unsuitability Multi-scale construction Regularization
This research is financially supported by the National Natural Science Foundation of China (U1562218 and youth project 41604107) and Agricultural Information Engineering Key Laboratory of Sichuan Provincial Universities.
- Bouchon M, Aki K (1977) Discrete wave-number representation of seismic-source wave fields. Bull Seismol Soc Am 67(2):259–277Google Scholar
- Hampson DP, Russell BH, Bankhead B (2005) Simultaneous inversion of pre-stack seismic data. SEG Techn Progr Expand Abstr 2005:1633–1637Google Scholar
- Li G, Zhang H, Wang Y et al (2014) Prestack AVO inversion using edge-preserving regularization with directional constraints. SEG Techn Progr Expand Abstr 2014:3080–3085Google Scholar
- Li Z, Hu G, Li Y et al (2016a) Regularized amplitude-versus-angle (AVA) inversion with traveltime information. SEG Techn Progr Expand Abstr 2016:548–552Google Scholar
- Li Z, Song B, Zhang J et al (2016b) Joint elastic and petrophysical inversion using prestack seismic and well log data. Explor Geophys 47(4):331–340Google Scholar
- Li Z, Hu G, Zhang J (2017a) Adaptive mixed-norm seismic inversion for non-Gaussian errors. Explor Geophys 48(4):413–421Google Scholar
- Li Z, Hu G, She B (2017b) A hybrid regularization approach for AVA inversion of the piecewise smooth model. SEG Techn Progr Expand Abstr 2017:793–797Google Scholar
- Tikhonov AN, Arsenin VIA (1977) Solutions of ill-posed problems. Winston, Washington DCGoogle Scholar
- Wang H, Fehler MC (2018a) The wavefield of acoustic logging in a cased hole with a single casing—part II: a dipole tool. Geophys J Int 212(2):1414–1428Google Scholar
- Zhang H, Cao C, Shang Z (2014b) A nonlinear method of simultaneous inversion for pre-stack seismic data based on edge-preserving regularization. SEG Techn Program Expand Abstr 2014:3226–3230Google Scholar