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    • 1. 发明授权
    • Method for simulation characteristic of a physical system
    • 物理系统仿真特性的方法
    • US06810370B1
    • 2004-10-26
    • US09524297
    • 2000-03-14
    • James W. Watts, III
    • James W. Watts, III
    • G06F1710
    • G01V1/30
    • A method is provided for simulating at least one characteristic of a physical system. The physical system is discretized into a plurality of volumetric cells having boundaries therebetween. An initial estimate of state variables is assigned for each cell. For each cell, linear equations are constructed relating its state variables to the state variables of cells adjacent to it. A transportability value is associated with each boundary and the boundaries are ranked corresponding to descending transportability values. The boundary rankings are used to construct topologically one-dimensional strings of cells. A matrix equation for each string is constructed by assembling the linear equations associated with the cells of each string. Improved estimates of the state variables of the cells are determined by solving the matrix equations. These state variables are then used to simulate at least one characteristic of the physical system.
    • 提供了一种用于模拟物理系统的至少一个特征的方法。 将物理系统离散成具有边界的多个体积细胞。 为每个单元分配状态变量的初始估计。 对于每个单元,构造线性方程将其状态变量与其相邻单元的状态变量相关联。 可移植性值与每个边界相关联,并且边界对应于下降的可传输性值排列。 边界排列用于构造拓扑一维细胞串。 通过组合与每个字符串的单元格相关联的线性方程来构造每个字符串的矩阵方程。 通过求解矩阵方程来确定细胞状态变量的改进估计。 然后,这些状态变量用于模拟物理系统的至少一个特性。
    • 2. 发明授权
    • Process for predicting behavior of a subterranean formation
    • 预测地下地层行为的过程
    • US6052520A
    • 2000-04-18
    • US245983
    • 1999-02-05
    • James W. Watts, III
    • James W. Watts, III
    • E21B49/00G01V11/00G06F17/50G06F19/00G01V1/00G06T17/50
    • G06F17/5018E21B49/00G01V11/00G06F2217/16
    • A method is disclosed of predicting a characteristic of a fluid-containing physical system such as a reservoir. The physical system is discretized to a plurality of gridcells. For each gridcell, nonlinear governing equations are constructed that are representative of fluid properties for each fluid. The nonlinear terms are linearized to derive linear equations at a current timestep. The linear equations are then solved to determine estimates of the solution. The estimated solution is then improved by a gridcell-by-gridcell computation wherein flows into and out of a particular gridcell are determined using linearized values of nonlinear terms in gridcells adjacent that particular gridcell. The improved solution is used to predict a property of a fluid in the physical system at end of the timestep. These calculation steps are repeated for a plurality of timesteps and the results are used to predict a property of the physical system and the fluids it contains as a function of time.
    • 公开了一种预测诸如储存器的含液体物理系统的特性的方法。 物理系统离散化为多个网格单元。 对于每个网格单元,构造了表示每个流体的流体特性的非线性控制方程。 线性化的非线性项目以在当前时间步长上导出线性方程。 然后求解线性方程式以确定解的估计。 然后通过网格逐网格计算来改进估计的解决方案,其中流入和流出特定网格单元的流量是使用与特定网格单元相邻的网格单元中的非线性项的线性化值来确定的。 改进的解决方案用于在时间步骤结束时预测物理系统中的流体的属性。 对于多个时间步骤重复这些计算步骤,并且结果用于预测物理系统及其包含的流体的属性作为时间的函数。
    • 3. 发明授权
    • Method of estimating properties of a multi-component fluid using
pseudocomponents
    • 使用假组分估计多组分流体的性质的方法
    • US6108608A
    • 2000-08-22
    • US456709
    • 1999-12-09
    • James W. Watts, III
    • James W. Watts, III
    • E21B49/00E21B49/08G01F1/74G01F17/00G01F23/00
    • E21B49/087E21B49/00E21B49/08G01F1/74G01F17/00
    • Disclosed is a method for estimating properties of a multi-component fluid using pseudocomponents. The fluid is characterized using a set of base components and a set of fluid compositions is defined that corresponds to fluid compositions expected to occur in computations of interest. Pseudocomponents are defined to represent the multi-component fluid by (i) defining an ordered set of vectors corresponding to a characteristic of the base components, each vector containing one entry for each base component, the first vector being most representative of the set of compositions according to a predetermined criterion and each vector thereafter in the set being less representative of the set of compositions than the vector before it, and (ii) selecting a subset of the ordered set that comprises the first vector and a predetermined number of vectors immediately thereafter, the subset of vectors corresponding to a pseudocomponent characterization of the multi-component fluid.
    • 公开了一种使用假成分估计多组分流体的性质的方法。 流体的特征在于使用一组基础组分,并且定义一组流体组合物,其对应于期望发生在感兴趣的计算中的流体组成。 定义组分成分以表示多成分流体,即(i)定义对应于基础成分特征的有序向量集合,每个向量包含每个基本成分的一个条目,第一个向量最为代表该组合物 根据预定标准,并且随后的集合中的每个向量与组合之前的向量集合的代表性相比较少,并且(ii)随后选择包括第一向量和预定数量的向量的有序集合的子集 ,对应于多组分流体的伪组分表征的向量子集。