Discretized physics-based models and simulations of subterranean regions, and methods for creating and using the same

Abstract

Methods for creating and using discretized physics-based models of subsurface regions, which may contain a hydrocarbon reservoir or other subsurface feature(s). The methods may include selecting a pre-solved model, applying a mesh to the pre-solved model, defining the shape of the subsurface region to be modeled, and transforming the pre-solved model, to which the mesh has been applied, to the shape of the subsurface region. In some methods, the pre-solved model is an idealized model. In some methods, the mesh is applied to a solution of potential field lines associated with the pre-solved model, and in some methods, the solution of potential field lines is a composite solution of a plurality of solutions of potential field lines. In some methods, one or more supershapes are used to define the shape of the subsurface region. In some methods, a hyperelastic strain deformation calculation is utilized for the transforming.