Apparatus, method and System for improved Reservoir Simulation using a Cascade of linear Algebraic solver Class

摘要

A method, a System, a device for storing a program, and a driving Device are described for Reservoir Simulation, which uses a Reservoir model of a region of interest, in which the region of interest has been cross-linked in cells. Each Cell has one or more unknown variables. Each Cell has a node. A graph of the nodes is represented by a Sparse Matrix.The graph is initially Decomposed into a pre specified number of Domains, so that each Cell has at least one domain. Cells and Domains are numbered. Each Cell has a Key, The Key of each cell is in the set of Numbers which belongs to the domain of the cell. Each Cell has a class, The Class of each cell is the number of elements in the cell.The cells are grouped into Connectors, each Connector is the set of cells that share the same key. Each Connector has a Connector Class, is the number of elements in the key Connector. Each Connector has a Connector only contiguous higher-order merges with the adjacent Connector of higher order.The Class of all Connectors of high class is locally until the maximum Class held by a Connector. The maximum Class connectors are forced to contain only one cell. The connectors are ordered in the increasing order of class. The interpolation Operator and the restriction operator is constructed from the sorted connectors.The interpolation Operator and the restriction operator is used to construct a Coarse Grid step. The Coarse Grid Step can be used to determine the unknown variables of the cells.