History matching by integrating regional multi-property image perturbation methods with a multivariate sensitivity analysis

Sensitivity analysis with respect to a local perturbation of the material property

In the present work, the notion of topological sensitivity is extended to the case of a local perturbation of the properties of the material constitutive of the domain. As a model example, we consider the problem −div (αεA∇uε) + βεuε = Fε in two and three dimensions, where A is a symmetric positive definite matrix and αε, βε, Fε are functions whose values inside a small subdomain ωε are differe...

History matching under geological control with the probability perturbation method

Perturbation Methods for Image Synthesis

This thesis presents new mathematical and computational tools for applying perturbation methods to image synthesis. The key idea is to characterize families of closely related optical paths by expanding a given path into a high-dimensional Taylor series. Our methods are based on the closed-form expressions for linear and higher-order approximations of specularly reflected rays of light, which a...

Regional probability perturbations for history matching

Reservoir simulation is ubiquitous in the petroleum industry, and conditioning models to production data (history matching) has become an essential job of reservoir engineers. Traditional history matching methods directly perturb reservoir properties without regard to the existing geological continuity. When the geological heterogeneity is destroyed, the result is often a history-matched model ...

Multi-image Matching

In close-range architectural and archaeological photogrammetric applications, very often, amateur cameras are used. While images are suffering from excessive distortions, the objects themselves exhibit remarkable anaglyph (walls, excavation holes, 3D objects, etc.), prohibiting thus the use of simple planar rectification. The 3D reconstruction of such objects unavoidably requires the production...