- journal_title：Geophysics
- Contributor：Arild Buland ; Odd Kolbjørnsen ; Henning Omre
- Publisher：Society of Exploration Geophysicists
- Date：2003-
- Format：text/html
- Language：en
- Identifier：10.1190/1.1581035
- journal_abbrev：Geophysics
- issn：0016-8033
- volume：68
- issue：3
- firstpage：824
- section：AMPLITUDE VARIATION WITH OFFSET (AVO) AND INTERPRETATION
Spatial coupling of the model parameters in an inversion problem provides lateral consistency and robust solutions. We have defined the inversion problem in a Bayesian framework, where the solution is represented by a posterior distribution obtained from a prior distribution and a likelihood model for the recorded data. The spatial coupling of the model parameters is imposed via the prior distribution by a spatial correlation function. In the Fourier domain, the spatially correlated model parameters can be decoupled, and the inversion problem can be solved independently for each frequency component. For a spatial model parameter represented on n grid nodes, the computing time for the inversion in the Fourier domain follows a linear function of the number of grid nodes, while the computing time for the fast Fourier transform follows an nlog nfunction. We have developed a 3D linearized amplitude variation with offset (AVO) inversion method with spatially coupled model parameters, where the objective is to obtain posterior distributions for P-wave velocity, S-wave velocity, and density. The inversion algorithm has been tested on a 3D dataset from Sleipner field with 4 million grid nodes, each with three unknown model parameters. The computing time was less than 3 minutes on the inversion in the Fourier domain, while each 3D Fourier transform used about 30 s on a single 400-MHz Mips R12000 CPU.