AVO inversion on an Ising network

Kristopher A. Innanen

Interest in algorithms based on the Ising model (i.e., what is sometimes referred to as Ising computation, and sometimes as Ising optimization) having been maintained since last year, some additional geophysical problems are parameterized in this framework this year. In this paper, the AVO inversion problem for a general class of linearized forward modelling schemes is set out, and numerically exemplified for both standard Aki-Richards and Shuey parameterizations. Sensitivity to parameterization (specifically, Aki-Richards is bad and Shuey is good) is notable, though this may be addressable with additional testing. A tendency for the Ising equilibrium state to be found first for the low angle ranges and subsequently the higher angle ranges is also noted, and can be considered a "natural" feature of the inversion approach, since all angles of data are entered into the algorithm on equal footing.