公开(公告)号：US07925482B2

公开(公告)日：2011-04-12

申请号：US11855741

申请日：2007-09-14

申请人： Stephen R. Kennon ,  Scott A. Canann ,  Steven B. Ward ,  Frank Joseph Eaton

发明人： Stephen R. Kennon ,  Scott A. Canann ,  Steven B. Ward ,  Frank Joseph Eaton

IPC分类号： G06G7/48

CPC分类号： E21B43/26 ,  G01V1/301

摘要： A method and system for generating an unstructured automatic mesh and executing computational algorithms using a finite element numerical approach is disclosed. The method is to model a hydrocarbon reservoir, wells, and completions as a single system, accounting for static information and transient behavior of wells, hydraulic fractures and reservoirs in a single model.

摘要翻译： 公开了一种用于生成非结构化自动网格并使用有限元数值方法执行计算算法的方法和系统。 该方法是将油气藏，井和完井作为单一系统建模，考虑了单一模型中井，水力裂缝和油藏的静态信息和瞬态行为。

公开(公告)号：US20080091396A1

公开(公告)日：2008-04-17

申请号：US11855741

申请日：2007-09-14

申请人： Stephen R. Kennon ,  Scott A. Canann ,  Steven B. Ward ,  Frank Joseph Eaton

发明人： Stephen R. Kennon ,  Scott A. Canann ,  Steven B. Ward ,  Frank Joseph Eaton

IPC分类号： G06G7/57

CPC分类号： E21B43/26 ,  G01V1/301

摘要： A method and system for generating an unstructured automatic mesh and executing computational algorithms using a finite element numerical approach is disclosed. The method is to model a hydrocarbon reservoir, wells, and completions as a single system, accounting for static information and transient behavior of wells, hydraulic fractures and reservoirs in a single model.

摘要翻译： 公开了一种用于生成非结构化自动网格并使用有限元数值方法执行计算算法的方法和系统。 该方法是将油气藏，井和完井作为单一系统建模，考虑了单一模型中井，水力裂缝和油藏的静态信息和瞬态行为。

公开(公告)号：US06674432B2

公开(公告)日：2004-01-06

申请号：US09896104

申请日：2001-06-29

申请人： Stephen R. Kennon ,  Scott A. Canann ,  Steven B. Ward

发明人： Stephen R. Kennon ,  Scott A. Canann ,  Steven B. Ward

IPC分类号： G06T1500

CPC分类号： G06T17/05 ,  G01V11/00 ,  G06F17/5004 ,  G06F17/5018 ,  G06T17/20

摘要： A method for solving space-time problems involving three-dimensional space wherein an unstructured four-dimensional finite element model is generated and solved to produce a four-dimensional solution. The four-dimensional mesh is generated from a three-dimensional mesh by extruding each of the simplices of the three-dimensional mesh in a time dimension. The four-dimensional prisms formed by extrusion of the three-dimensional simplices are divided into a plurality of four-dimensional simplices which form a four-dimensional finite element model. The elements of the four-dimensional model can be selectively refined to obtain a finer mesh in areas of greater interest, and a coarser mesh in areas which are of less interest. The mesh can be refined in the spatial dimensions and also in the temporal dimension.

摘要翻译： 一种用于解决涉及三维空间的时空问题的方法，其中生成并解决非结构化四维有限元模型以产生四维解。 通过在时间维度上挤出三维网格的每个单纯形状，从三维网格生成四维网格。 通过挤压三维简单形成的四维棱镜被分成形成四维有限元模型的多个四维单形。 可以选择性地改进四维模型的元素以在感兴趣的区域中获得更细的网格，并且在不太感兴趣的区域中的粗糙网格。 网格可以在空间维度以及时间维度上进行细化。

公开(公告)号：US07260508B2

公开(公告)日：2007-08-21

申请号：US09896136

申请日：2001-06-29

申请人： Kok-Thye Lim ,  Steven B. Ward ,  Stephen R. Kennon

发明人： Kok-Thye Lim ,  Steven B. Ward ,  Stephen R. Kennon

IPC分类号： G06F17/10 ,  G06F7/48

CPC分类号： G06T17/05 ,  G01V11/00 ,  G06F17/5004 ,  G06F17/5018 ,  G06T17/20

摘要： A method and system are disclosed for high-resolution modeling of a well bore in a reservoir. An embodiment of the present disclosure comprises the steps of constructing a first unstructured mesh having a plurality of n-dimensional simplices corresponding to a first modeled system (space), defining a surface bounding a second modeled space, identifying a subset of the plurality of n-dimensional simplices of the first mesh that are intersected by the surface, and modifying the subset of simplices so as to adapt the first mesh such that it comprises a second mesh and a third mesh, wherein the second mesh comprises a set of simplices located entirely interior to the surface and wherein the third mesh comprises another set of simplices located entirely exterior to said surface.

摘要翻译： 公开了用于储层中的井眼的高分辨率建模的方法和系统。 本公开的实施例包括以下步骤：构造具有对应于第一建模系统（空间）的多个n维单数的第一非结构化网格，限定界定第二建模空间的表面，识别多个n的子集 由表面相交的第一网格的三维单纯形，以及修改单元的子集，以便使第一网格适应，使得其包括第二网格和第三网格，其中第二网格包括一组完全位于的网格 内表面，并且其中第三网格包括完全位于所述表面外部的另一组单形。

公开(公告)号：US06941255B2

公开(公告)日：2005-09-06

申请号：US09896132

申请日：2001-06-29

申请人： Stephen R. Kennon ,  Steven B. Ward

发明人： Stephen R. Kennon ,  Steven B. Ward

IPC分类号： E21B44/00 ,  G01V11/00 ,  G06F17/13 ,  G06F17/16 ,  G06F17/50 ,  G06F19/00 ,  G06T17/05 ,  G06T17/20 ,  G06F7/48 ,  G06F17/10

CPC分类号： G06T17/05 ,  G01V11/00 ,  G06F17/5004 ,  G06F17/5018 ,  G06T17/20

摘要： A method for simulating a physical system using finite element techniques, wherein two or more distinct models corresponding to distinct regions within the modeled system are solved, each with a corresponding evaluator. Nodes which lie on the boundaries between the models may have different values corresponding to the different models. When a particular model is solved, the evaluator for that model is used to obtain the appropriate values for each of these common nodes. In one embodiment, a first model is defined, then a region corresponding to a particular feature within the system is carved out of it. A finite element model corresponding to the feature is then inserted into the region. The finite elements may be adapted to share nodes on the boundaries between them.

摘要翻译： 一种使用有限元技术模拟物理系统的方法，其中解决了与建模系统内的不同区域对应的两个或多个不同模型，每一个具有相应的评估者。 位于模型之间边界的节点可能具有与不同模型对应的不同值。 当一个特定的模型被解决时，该模型的评估者被用来为每个这些公共节点获得适当的值。 在一个实施例中，定义第一模型，然后将与系统内的特定特征相对应的区域从其中切出。 然后将与特征相对应的有限元模型插入该区域。 有限元可以适于在它们之间的边界上共享节点。

公开(公告)号：US07369973B2

公开(公告)日：2008-05-06

申请号：US11187600

申请日：2005-07-22

申请人： Stephen R. Kennon ,  Steven B. Ward

发明人： Stephen R. Kennon ,  Steven B. Ward

IPC分类号： G06F17/10

CPC分类号： G06F17/5018 ,  G06F2217/16 ,  G06T17/20

摘要： The disclosure is directed to a computer-implemented method of representing fluid flow in a physical fluid reservoir. The method includes generating a mesh representation of the physical fluid reservoir having a plurality of mesh elements. Each of the plurality of mesh elements is representative of a regional portion of the fluid reservoir. The method further includes generating a matrix-based representation of fluid flow comprising matrix elements associated with a mesh element and selectively weighting the matrix elements based on fluid flow direction in the regional portion of the fluid reservoir represented by the mesh element associated with the matrix element.

摘要翻译： 本公开涉及一种计算机实现的在物理流体储存器中表示流体流动的方法。 该方法包括产生具有多个网状元件的物理流体储存器的网格表示。 多个网格元件中的每一个代表流体储存器的区域部分。 该方法还包括产生流体流的基于矩阵的表示，其包括与网格元素相关联的矩阵元素，并且基于由与矩阵元素相关联的网格元素表示的流体储存器的区域部分中的流体流动方向选择性地加权矩阵元素 。

公开(公告)号：US07043413B2

公开(公告)日：2006-05-09

申请号：US09896147

申请日：2001-06-29

申请人： Steven B. Ward ,  Stephen R. Kennon

发明人： Steven B. Ward ,  Stephen R. Kennon

IPC分类号： G06F7/48 ,  G06F17/10

CPC分类号： G06T17/05 ,  G01V11/00 ,  G06F17/5004 ,  G06F17/5018 ,  G06T17/20

摘要： Methods and systems for adapting an unstructured mesh to a modeled space. In one embodiment, a surface is defined in the modeled space, intersections of the surface with the elements of the mesh are determined, and new elements within the intersected elements are defined such that one or more of the faces of the new elements are substantially coincident with the surface. For each element which is intersected by the surface, a plurality of points at which the edges of the element are intersected is determined. For each point of intersection, a new node is located at that point and two new elements which incorporate the new node are created. This process is performed for each of the points of intersection so that the intersected element is subdivided into an new elements which include faces that lie substantially on the modeled surface.

公开(公告)号：US07149671B2

公开(公告)日：2006-12-12

申请号：US09896101

申请日：2001-06-29

申请人： Kok-Thye Lim ,  Stephen R. Kennon

发明人： Kok-Thye Lim ,  Stephen R. Kennon

IPC分类号： G06G7/50 ,  G06G7/60 ,  G06V1/40

CPC分类号： G06T17/05 ,  G01V11/00 ,  G06F17/5004 ,  G06F17/5018 ,  G06T17/20

摘要： A method and system for predicting the behavior of a physical system are disclosed. One embodiment of the method of this invention comprises the steps of creating an equation in a first coordinate system to model an aspect of the physical system; applying a coordinate transformation to the equation to transform the equation from the first coordinate system into a second coordinate system more closely representative of an analytical solution to the equation; solving the equation in the second coordinate system to obtain a solution; transforming the solution back to the first coordinate system; creating a second equation in the first coordinate system to model a second aspect of the physical system; solving the second equation in the first coordinate system to obtain a solution to the second equation; and combining the mapped solution to the first equation and the solution to the second equation in the first coordinate system to obtain a combined solution. One embodiment of the system of this invention comprises a computer-readable medium containing a plurality of instructions embodying the above method.

公开(公告)号：US20100250215A1

公开(公告)日：2010-09-30

申请号：US12413671

申请日：2009-03-30

申请人： Stephen R. Kennon ,  Narayan Nair ,  Arden McCracken

发明人： Stephen R. Kennon ,  Narayan Nair ,  Arden McCracken

IPC分类号： G06G7/57

CPC分类号： G06F17/5018 ,  G06F2217/16

摘要： Methods of modeling flow of gas within a reservoir are provided. A particular method includes generating a representation of a gas reservoir, where the gas reservoir includes at least two phases of matter. The representation of the gas reservoir models the gas reservoir as a single phase. The method also includes modeling flow of gas within the gas reservoir using the representation.

摘要翻译： 提供了对储层内气体流动进行建模的方法。 一种特定的方法包括产生气藏的表示，其中气体储存器包括至少两个物质相。 气藏的示意图将气藏模型化为单相。 该方法还包括使用该表示来建模气藏内的气体流。

公开(公告)号：US07027964B2

公开(公告)日：2006-04-11

申请号：US09896137

申请日：2001-06-29

申请人： Stephen R. Kennon

发明人： Stephen R. Kennon

IPC分类号： G06F7/60

CPC分类号： G06T17/05 ,  G01V11/00 ,  G06F17/5004 ,  G06F17/5018 ,  G06T17/20

摘要： Systems and methods for solving finite element models, wherein the matrix that governs the solution is modified by adjusting the weighting coefficients of the matrix so that the elements which lie on the diagonal of the matrix are non-negative and the elements which are off the diagonal are non-positive. In one embodiment, a system is discretized on a finite element mesh with the contribution of each node to the discretization being weighted based upon the direction of fluid flow across each element. The nodes which are upstream from the other nodes of the respective elements are weighted more heavily to cause the resulting matrix to be substantially diagonal. This matrix is solved using traditional techniques.