Patent Document ID: 9223042
Application ID: 13498293
Patent Flag: 1

Claim One:
1. A method for updating posterior geological models, comprising: a) computing new geological realizations for a prior geological model using a computer processor; b) computing an exact likelihood of an objective function using the new geological realizations for the prior geological model or an acceptable number of the new geological realizations for the prior geological model; c) defining an initial state for a sequential Monte Carlo chain based on the exact likelihood of an objective function; d) defining a new sample based on the initial state for a sequential Monte Carlo chain and a random sample from the prior geological model; e) computing an approximate likelihood of an objective function using the new sample; f) repeating step d), based only on another random sample from the prior geological model, and step e) until the approximate likelihood of an objective function meets an acceptance criteria; g) computing another exact likelihood of an objective function using the new sample if the new sample meets the acceptance criteria; h) repeating step d), based only on another random sample from the prior geological model, and steps e) through g) until the another exact likelihood of an objective function meets another acceptance criteria; i) repeating step d), based only on another random sample from the prior geological model, and steps e) through h) until a convergence criteria is met; and j) storing each new sample that meets the acceptance criteria and the another acceptance criteria, each new sample representing a respective updated posterior geological model for the prior geological model.