Iterative method and system to construct robust proxy models for reservoir simulation

摘要

A method, system and computer program product is disclosed for utilizing proxy models to evaluate a subterranean reservoir. The method includes constructing a proxy model from a set of sampling points to approximate simulation outputs of a reservoir model. The set of sampling points is updated by adding at least one new sampling point that is selected from a location associated with surface non-linearities such as gradients, curvature, and bending energy. Response surface values at new sampling points and distances to existing sampling points can also be used to evaluate new sampling points. Proxy models are refined with the updated set of sampling points until the proxy model satisfies a predetermined stopping criterion, such as when a predetermined number of iterations are reached or when changes to the response surface are below a predetermined threshold.

主权项

1. A method for evaluating a subterranean reservoir, the method comprising:
(a) constructing a proxy model from a set of sampling points such that the proxy model approximates a simulation output of a reservoir model; (b) selecting at least one new sampling point from a set of candidate locations based on criteria associated with a surface non-linearity of the proxy model, wherein the at least one new sampling point is selected based on gradients of the proxy model at the set of candidate locations; (c) updating the set of sampling points by adding the at least one new sampling point; (d) refining the proxy model using the updated set of sampling points; (e) repeating steps (b) through (d) until the proxy model satisfies a predetermined stopping criterion; and (f) utilizing the refined proxy model to evaluate the subterranean reservoir.