Block matrix solver for well system fluid flow modeling

摘要

In some aspects, techniques and systems for operating a subterranean region model are described. A block matrix is identified. The block matrix includes a banded portion and an augmented portion. The banded portion includes flow variable coefficients based on governing flow equations of a model representing well system fluid flow in a subterranean region. In a row of the block matrix, decomposition of a pivot element in the row is performed. Elements along the row are modified based on an inverse of the decomposition of the pivot element. A flow variable of the model is solved based on the block matrix that contains the modified elements.

主权项

1. A method of operating a subterranean region model, the method comprising:
identifying a block matrix, the block matrix including a banded portion and an augmented portion, the banded portion including flow variable coefficients based on governing flow equations of a model representing well system fluid flow in a subterranean region; in a row of the block matrix, performing, by operation of one or more computers, decomposition of a pivot element in the row; modifying, by operation of the one or more computers, elements along the row based on an inverse of the decomposition of the pivot element; and solving, by operation of the one or more computers, a flow variable of the model based on the block matrix comprising the modified elements.