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    • 2. 发明申请
    • Apparatus, method and system for improved reservoir simulation using an algebraic cascading class linear solver
    • 使用代数级联类线性求解器改进油藏模拟的装置,方法和系统
    • US20070010979A1
    • 2007-01-11
    • US11453304
    • 2006-06-14
    • John WallisHamdi Tchelepi
    • John WallisHamdi Tchelepi
    • G06G7/48
    • E21B49/00G01V99/005G01V2210/663
    • A method, system, a program storage device and apparatus are disclosed for conducting a reservoir simulation, using a reservoir model of a region of interest, wherein the region of interest has been gridded into cells. Each cell has one or more unknown variable. Each cell has a node. A graph of the nodes is represented by a sparse matrix. The graph is an initially decomposed into a pre-specified number of domains, such that each cell exists in at least one domain. The cells and domains are numbered. Each cell has a key, the key of each cell is the set of domain numbers to which the cell belongs. Each cell has a class, the class of each cell being the number of elements in the cell. The cells are grouped into connectors, each connector being the set of cells that share the same key. Each connector having a connector class, the connector class being the number of elements in the key of the connector. Each connector having only one higher-order neighbor connector is merged with such higher-order neighbor connector. The class of all locally maximum class connectors is reset to the maximum class of held by any connector. The maximum class connector is forced to contain only one cell. The connectors are ordered in increasing order of class. Interpolation operator and restriction operator are constructed from the ordered connectors. The interpolation operator and restriction operator are used to construct a coarse grid. The coarse grid may be used to determine the unknown variables of the cells.
    • 公开了一种方法,系统,程序存储装置和装置,用于使用感兴趣区域的储层模型进行储层模拟,其中感兴趣的区域已经被网格化成单元。 每个单元格都有一个或多个未知变量。 每个单元都有一个节点。 节点的图形由稀疏矩阵表示。 该图是最初分解成预定数量的域,使得每个单元存在于至少一个域中。 单元格和域被编号。 每个小区都有一个密钥,每个小区的密钥是该小区所属的一组域号。 每个单元格都有一个类,每个单元格的类都是单元格中的元素数。 单元格分组成连接器,每个连接器是共享相同键的单元格集合。 每个连接器具有连接器类,连接器类是连接器的键中的元件的数量。 具有仅一个高阶相邻连接器的每个连接器与这样的高阶邻居连接器合并。 所有本地最大类连接器的类都被重置为任何连接器所保持的最大类。 最大类连接器被强制只包含一个单元格。 连接器按照增加的顺序排列。 内插操作员和限制操作员由有序连接器构成。 内插算子和限制算子用于构造粗网格。 粗网格可用于确定单元格的未知变量。
    • 3. 发明授权
    • Apparatus, method and system for improved reservoir simulation using a multiplicative overlapping Schwarz preconditioning for adaptive implicit linear systems
    • 用于利用适应性隐性线性系统的乘法重叠Schwarz预处理改进储层模拟的装置,方法和系统
    • US07516056B2
    • 2009-04-07
    • US11410622
    • 2006-04-25
    • John WallisHamdi A. TchelepiHui Cao
    • John WallisHamdi A. TchelepiHui Cao
    • G06F9/455
    • G06F17/5018G06F2217/16
    • A method, system and apparatus are disclosed for conducting a reservoir simulation, using a reservoir model of a gridded region of interest. The grid of the region of interest includes one or more types of cells, the type of cell being distinguished by the number of unknown variables representing properties of the cells. The cells share a common variable as an unknown variable. The method includes the steps of identifying different cell types for the grid; constructing an overall matrix for the reservoir model based on the different cell types; at least partially decoupling the common variable from the other unknown variables in the matrix by using a reduction process to yield a reduced matrix; mathematically breaking up the variables in the reduced matrix into k subsets by cell types; applying an overlapping multiplicative Schwartz procedure to the reduced matrix to obtain a preconditioner and using the preconditioner to solve for the unknown variables.
    • 公开了一种使用感兴趣的网格区域的储层模型进行油藏模拟的方法,系统和装置。 感兴趣区域的网格包括一个或多个类型的单元格,通过表示单元格属性的未知变量的数量区分单元格的类型。 单元格共享一个公共变量作为未知变量。 该方法包括识别网格的不同小区类型的步骤; 基于不同的细胞类型构建储层模型的总体矩阵; 通过使用缩减过程来至少部分地将公共变量与矩阵中的其他未知变量解耦,以产生简化的矩阵; 通过细胞类型数学地将简化矩阵中的变量分解成k个子集; 将重叠乘法Schwartz过程应用于简化矩阵以获得预处理器,并使用预处理器来解决未知变量。
    • 6. 发明授权
    • Heating, ventilating and air conditioning systems
    • 暖气,通风和空调系统
    • US5586933A
    • 1996-12-24
    • US333557
    • 1994-11-02
    • Colin SawyerJohn WallisPeter Bartingale
    • Colin SawyerJohn WallisPeter Bartingale
    • F24F13/06F24F13/075
    • F24F13/06
    • A grille (3) for use adjacent an outlet of a heating, ventilating or air conditioning system comprising a frame (15) and a plurality of blades (25) extending between opposed frame parts. Each blade (25) has a spindle (26) which is rotatably supported within opposed slots (21) formed in the opposed parts of the frame. The slots (21) are open at one end to permit the insertion of the blade spindle and the spindle is supported at the closed ends of the slots. The grille (3) further comprises means for retaining the blade spindles (26) in the slots (21). The retaining means comprise an element (30) mountable upon the frame (15) of the grille such that part of the retaining element (30) engages the blade spindles (26) when mounted upon the frame and prevents the spindles (26) from moving out of the open ends of the slots (21).
    • 一种用于在加热,通风或空调系统的出口附近使用的格栅(3),包括框架(15)和在相对的框架部件之间延伸的多个叶片(25)。 每个叶片(25)具有可旋转地支撑在形成在框架的相对部分中的相对的槽(21)内的主轴(26)。 槽(21)在一端开口以允许插入刀片主轴,并且心轴被支撑在槽的封闭端。 格栅(3)还包括用于将叶片主轴(26)保持在槽(21)中的装置。 保持装置包括安装在格栅的框架(15)上的元件(30),使得当安装在框架上时,保持元件(30)的一部分与刀片主轴(26)接合,并防止主轴(26)移动 在槽(21)的开口端之外。
    • 7. 发明授权
    • Apparatus, method and system for improved reservoir simulation using an algebraic cascading class linear solver
    • 使用代数级联类线性求解器改进油藏模拟的装置,方法和系统
    • US07684967B2
    • 2010-03-23
    • US11453304
    • 2006-06-14
    • John WallisHamdi A. Tchelepi
    • John WallisHamdi A. Tchelepi
    • G06G7/48
    • E21B49/00G01V99/005G01V2210/663
    • A method, system, a program storage device and apparatus are disclosed for conducting a reservoir simulation, using a reservoir model of a region of interest, wherein the region of interest has been gridded into cells. Each cell has one or more unknown variable. Each cell has a node. A graph of the nodes is represented by a sparse matrix. The graph is an initially decomposed into a pre-specified number of domains, such that each cell exists in at least one domain. The cells and domains are numbered. Each cell has a key, the key of each cell is the set of domain numbers to which the cell belongs. Each cell has a class, the class of each cell being the number of elements in the cell. The cells are grouped into connectors, each connector being the set of cells that share the same key. Each connector having a connector class, the connector class being the number of elements in the key of the connector. Each connector having only one higher-order neighbor connector is merged with such higher-order neighbor connector. The class of all locally maximum class connectors is reset to the maximum class of held by any connector. The maximum class connector is forced to contain only one cell. The connectors are ordered in increasing order of class. Interpolation operator and restriction operator are constructed from the ordered connectors. The interpolation operator and restriction operator are used to construct a coarse grid. The coarse grid may be used to determine the unknown variables of the cells.
    • 公开了一种方法,系统,程序存储装置和装置,用于使用感兴趣区域的储层模型进行储层模拟,其中感兴趣的区域已经被网格化成单元。 每个单元格都有一个或多个未知变量。 每个单元都有一个节点。 节点的图形由稀疏矩阵表示。 该图是最初分解成预定数量的域,使得每个单元存在于至少一个域中。 单元格和域被编号。 每个小区都有一个密钥,每个小区的密钥是该小区所属的一组域号。 每个单元格都有一个类,每个单元格的类都是单元格中的元素数。 单元格分组成连接器,每个连接器是共享相同键的单元格集。 每个连接器具有连接器类,连接器类是连接器的键中的元件的数量。 具有仅一个高阶相邻连接器的每个连接器与这样的高阶邻居连接器合并。 所有本地最大类连接器的类都被重置为任何连接器所保持的最大类。 最大类连接器被强制只包含一个单元格。 连接器按照增加的顺序排列。 内插操作员和限制操作员由有序连接器构成。 内插算子和限制算子用于构造粗网格。 粗网格可用于确定单元格的未知变量。