Optimizing a Grid for Finite Element Solutions for Subterranean Region Simulations

摘要

In some aspects, a flow model represents a flow path for well system fluid in a subterranean region. A first system of equations from a finite element (FE) discretization of a flow model is accessed by a computer system. A second system of equations that imposes a constraint on errors between an exact solution and an FE solution to the flow model is accessed by the computer system. The FE solution includes nodes representing locations along the flow path for well system fluid in the subterranean region. Locations of the nodes can be computed by operations of the computer system in an iterative manner by computing locations of new nodes based on locations of existing nodes and refining the locations of the new nodes and the locations of the existing nodes based on the first and second systems of equations.

主权项

1. A subterranean region simulation method comprising:
accessing, at a computer system, a first system of equations from a finite element (FE) discretization of a flow model, the flow model representing a flow path for well system fluid in a subterranean region; accessing, at the computer system, a second system of equations that imposes a constraint on errors between an exact solution and an FE solution to the flow model, the FE solution including nodes representing locations along the flow path for well system fluid in the subterranean region; and computing, by operation of the computer system, locations of the nodes in an iterative manner by:
computing locations of new nodes based on locations of existing nodes; andrefining the locations of the new nodes and the locations of the existing nodes based on the first and second systems of equations.