WO2002003103A3 - Method and system for solving finite element models using multi-phase physics - Google Patents

Method and system for solving finite element models using multi-phase physics Download PDF

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Publication number
WO2002003103A3
WO2002003103A3 PCT/US2001/020742 US0120742W WO0203103A3 WO 2002003103 A3 WO2002003103 A3 WO 2002003103A3 US 0120742 W US0120742 W US 0120742W WO 0203103 A3 WO0203103 A3 WO 0203103A3
Authority
WO
WIPO (PCT)
Prior art keywords
matrix
finite element
diagonal
element models
elements
Prior art date
Application number
PCT/US2001/020742
Other languages
French (fr)
Other versions
WO2002003103A2 (en
Inventor
Stephen R Kennon
Original Assignee
Object Reservoir Inc
Stephen R Kennon
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Object Reservoir Inc, Stephen R Kennon filed Critical Object Reservoir Inc
Priority to EA200200256A priority Critical patent/EA200200256A1/en
Priority to EP01950660A priority patent/EP1299750B1/en
Priority to MXPA02002150A priority patent/MXPA02002150A/en
Priority to CA2383711A priority patent/CA2383711C/en
Priority to BR0106990-0A priority patent/BR0106990A/en
Priority to AU71628/01A priority patent/AU7162801A/en
Priority to AT01950660T priority patent/ATE520045T1/en
Priority to JP2002508111A priority patent/JP2004502999A/en
Publication of WO2002003103A2 publication Critical patent/WO2002003103A2/en
Priority to NO20020994A priority patent/NO322925B1/en
Publication of WO2002003103A3 publication Critical patent/WO2002003103A3/en

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Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T17/00—Three dimensional [3D] modelling, e.g. data description of 3D objects
    • G06T17/05—Geographic models
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01V—GEOPHYSICS; GRAVITATIONAL MEASUREMENTS; DETECTING MASSES OR OBJECTS; TAGS
    • G01V11/00—Prospecting or detecting by methods combining techniques covered by two or more of main groups G01V1/00 - G01V9/00
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T17/00—Three dimensional [3D] modelling, e.g. data description of 3D objects
    • G06T17/20—Finite element generation, e.g. wire-frame surface description, tesselation

Abstract

Systems and methods for solving finite element models (using multi-phase physics), 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.
PCT/US2001/020742 2000-06-29 2001-06-29 Method and system for solving finite element models using multi-phase physics WO2002003103A2 (en)

Priority Applications (9)

Application Number Priority Date Filing Date Title
EA200200256A EA200200256A1 (en) 2000-06-29 2001-06-29 METHOD AND SYSTEM FOR SOLVING FINITE ELEMENT MODELS SUITABLE FOR MULTIPHASE PHYSICAL SYSTEMS
EP01950660A EP1299750B1 (en) 2000-06-29 2001-06-29 Method and system for solving finite element models using multi-phase physics
MXPA02002150A MXPA02002150A (en) 2000-06-29 2001-06-29 Method and system for solving finite element models using multi-phase physics.
CA2383711A CA2383711C (en) 2000-06-29 2001-06-29 Method and system for solving finite element models using multi-phase physics
BR0106990-0A BR0106990A (en) 2000-06-29 2001-06-29 Method and system for solving finite element models using multiphase physics
AU71628/01A AU7162801A (en) 2000-06-29 2001-06-29 Method and system for solving finite element models using multi-phase physics
AT01950660T ATE520045T1 (en) 2000-06-29 2001-06-29 METHOD AND DEVICE FOR SOLVING FINITE ELEMENT MODELS USING MULTIPHASE PHYSICS
JP2002508111A JP2004502999A (en) 2000-06-29 2001-06-29 Method and system for solving finite element models using polyphase physics
NO20020994A NO322925B1 (en) 2000-06-29 2002-02-28 Method and system for losing element models using multiphase physics

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US21569700P 2000-06-29 2000-06-29
US60/215,697 2000-06-29

Publications (2)

Publication Number Publication Date
WO2002003103A2 WO2002003103A2 (en) 2002-01-10
WO2002003103A3 true WO2002003103A3 (en) 2002-06-06

Family

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Family Applications (8)

Application Number Title Priority Date Filing Date
PCT/US2001/020910 WO2002001251A2 (en) 2000-06-29 2001-06-29 Method and system for modeling geological structures using an unstructured four-dimensional mesh
PCT/US2001/020742 WO2002003103A2 (en) 2000-06-29 2001-06-29 Method and system for solving finite element models using multi-phase physics
PCT/US2001/020741 WO2002002901A2 (en) 2000-06-29 2001-06-29 Feature modeling in a finite element model
PCT/US2001/020908 WO2002003265A2 (en) 2000-06-29 2001-06-29 A method for modeling an arbitrary well path in a hydrocarbon reservoir using adaptive meshing
PCT/US2001/020749 WO2002003262A2 (en) 2000-06-29 2001-06-29 System and method for defining and displaying a reservoir model
PCT/US2001/020744 WO2002003101A2 (en) 2000-06-29 2001-06-29 Method and system for high-resolution modeling of a well bore in a hydrocarbon reservoir
PCT/US2001/020905 WO2002003264A2 (en) 2000-06-29 2001-06-29 A method for solving finite element models using time slabbing
PCT/US2001/020814 WO2002003263A2 (en) 2000-06-29 2001-06-29 Method and system for coordinate transformation to model radial flow near a singularity

Family Applications Before (1)

Application Number Title Priority Date Filing Date
PCT/US2001/020910 WO2002001251A2 (en) 2000-06-29 2001-06-29 Method and system for modeling geological structures using an unstructured four-dimensional mesh

Family Applications After (6)

Application Number Title Priority Date Filing Date
PCT/US2001/020741 WO2002002901A2 (en) 2000-06-29 2001-06-29 Feature modeling in a finite element model
PCT/US2001/020908 WO2002003265A2 (en) 2000-06-29 2001-06-29 A method for modeling an arbitrary well path in a hydrocarbon reservoir using adaptive meshing
PCT/US2001/020749 WO2002003262A2 (en) 2000-06-29 2001-06-29 System and method for defining and displaying a reservoir model
PCT/US2001/020744 WO2002003101A2 (en) 2000-06-29 2001-06-29 Method and system for high-resolution modeling of a well bore in a hydrocarbon reservoir
PCT/US2001/020905 WO2002003264A2 (en) 2000-06-29 2001-06-29 A method for solving finite element models using time slabbing
PCT/US2001/020814 WO2002003263A2 (en) 2000-06-29 2001-06-29 Method and system for coordinate transformation to model radial flow near a singularity

Country Status (14)

Country Link
US (8) US7006951B2 (en)
EP (5) EP1299751B1 (en)
JP (2) JP2004502255A (en)
CN (2) CN1386200A (en)
AT (5) ATE551679T1 (en)
AU (8) AU7585201A (en)
BR (2) BR0106991A (en)
CA (5) CA2413165A1 (en)
DE (1) DE60114012D1 (en)
EA (2) EA200200256A1 (en)
EC (2) ECSP024230A (en)
MX (2) MXPA02002151A (en)
NO (5) NO324002B1 (en)
WO (8) WO2002001251A2 (en)

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