WO2010039326A8 - Self-adapting iterative solver - Google Patents

Self-adapting iterative solver Download PDF

Info

Publication number
WO2010039326A8
WO2010039326A8 PCT/US2009/051029 US2009051029W WO2010039326A8 WO 2010039326 A8 WO2010039326 A8 WO 2010039326A8 US 2009051029 W US2009051029 W US 2009051029W WO 2010039326 A8 WO2010039326 A8 WO 2010039326A8
Authority
WO
WIPO (PCT)
Prior art keywords
self
singularities
adapting
iterative solver
performance
Prior art date
Application number
PCT/US2009/051029
Other languages
French (fr)
Other versions
WO2010039326A1 (en
Inventor
Ilya Mishev
Sergey Nepomnyashchikh
Alexander Matsokin
Original Assignee
Exxonmobil Upstream Research Company
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 Exxonmobil Upstream Research Company filed Critical Exxonmobil Upstream Research Company
Priority to EP09818158.9A priority Critical patent/EP2350810A4/en
Priority to BRPI0919456A priority patent/BRPI0919456A2/en
Priority to CA2730446A priority patent/CA2730446A1/en
Priority to CN2009801385278A priority patent/CN102165413A/en
Publication of WO2010039326A1 publication Critical patent/WO2010039326A1/en
Publication of WO2010039326A8 publication Critical patent/WO2010039326A8/en

Links

Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/11Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
    • G06F17/12Simultaneous equations, e.g. systems of linear equations

Abstract

A self-adapting iterative solver is provided that employs a self-adapting process for extracting singularities for solving linear systems of equations. The self-adapting iterative solver dynamically determines how to adapt its performance in the presence of one or more singularities encountered in a linear system of equations. In certain embodiments, the self- adapting iterative solver can identify possible singularities, and then analyzes its performance for adapting to a treatment of the possible singularities that provides a desired performance (i.e., for achieving convergence to a solution). Thus, rather than being pre-confϊgured for providing a certain treatment of (e.g., eliminating) certain pre-identified singularities, in certain embodiments, the iterative solver adapts its treatment of singularities based on its computing performance.
PCT/US2009/051029 2008-09-30 2009-07-17 Self-adapting iterative solver WO2010039326A1 (en)

Priority Applications (4)

Application Number Priority Date Filing Date Title
EP09818158.9A EP2350810A4 (en) 2008-09-30 2009-07-17 Self-adapting iterative solver
BRPI0919456A BRPI0919456A2 (en) 2008-09-30 2009-07-17 method for modeling fluid flow in a hydrocarbon reservoir
CA2730446A CA2730446A1 (en) 2008-09-30 2009-07-17 Self-adapting iterative solver
CN2009801385278A CN102165413A (en) 2008-09-30 2009-07-17 Self-adapting iterative solver

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US10149008P 2008-09-30 2008-09-30
US61/101,490 2008-09-30

Publications (2)

Publication Number Publication Date
WO2010039326A1 WO2010039326A1 (en) 2010-04-08
WO2010039326A8 true WO2010039326A8 (en) 2010-06-10

Family

ID=42058522

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/US2009/051029 WO2010039326A1 (en) 2008-09-30 2009-07-17 Self-adapting iterative solver

Country Status (6)

Country Link
US (1) US20100082509A1 (en)
EP (1) EP2350810A4 (en)
CN (1) CN102165413A (en)
BR (1) BRPI0919456A2 (en)
CA (1) CA2730446A1 (en)
WO (1) WO2010039326A1 (en)

Families Citing this family (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8938562B2 (en) * 2010-06-25 2015-01-20 Maxeler Technologies, Ltd. Method of, and apparatus for, mitigating memory bandwidth limitations when performing numerical calculations
WO2012015500A1 (en) * 2010-07-26 2012-02-02 Exxonmobil Upstream Research Company Method and system for parallel multilevel simulation
US9208268B2 (en) 2012-02-14 2015-12-08 Saudi Arabian Oil Company Giga-cell linear solver method and apparatus for massive parallel reservoir simulation
CA2873406C (en) * 2012-05-30 2018-06-26 Landmark Graphics Corporation Oil or gas production using computer simulation of oil or gas fields and production facilities
DE102012209374A1 (en) * 2012-06-04 2013-12-05 Robert Bosch Gmbh Method and apparatus for creating computational models for nonlinear models of encoders
US10242136B2 (en) * 2015-05-20 2019-03-26 Saudi Arabian Oil Company Parallel solution for fully-coupled fully-implicit wellbore modeling in reservoir simulation
EP3714131A1 (en) 2017-11-24 2020-09-30 Total SA Method and device for determining hydrocarbon production for a reservoir
US11461514B2 (en) * 2018-09-24 2022-10-04 Saudi Arabian Oil Company Reservoir simulation with pressure solver for non-diagonally dominant indefinite coefficient matrices
CN111337935B (en) * 2020-03-17 2022-06-14 中国水利水电第五工程局有限公司 Underground inclined shaft excavation measuring method

Family Cites Families (95)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3017934A (en) * 1955-09-30 1962-01-23 Shell Oil Co Casing support
FR1594818A (en) * 1968-11-21 1970-06-08
US3720066A (en) * 1969-11-20 1973-03-13 Metalliques Entrepr Cie Fse Installations for submarine work
US3702009A (en) * 1970-10-23 1972-10-31 Continental Oil Co Simulation of pressure behavior in petroleum reservoirs
US3785437A (en) * 1972-10-04 1974-01-15 Phillips Petroleum Co Method for controlling formation permeability
US3858401A (en) * 1973-11-30 1975-01-07 Regan Offshore Int Flotation means for subsea well riser
GB1519203A (en) * 1974-10-02 1978-07-26 Chevron Res Marine risers in offshore drilling
US4210964A (en) * 1978-01-17 1980-07-01 Shell Oil Company Dynamic visual display of reservoir simulator results
FR2466606A1 (en) * 1979-10-05 1981-04-10 Aquitaine Canada PROCESS FOR INCREASING THE EXTRACTION OF PETROLEUM FROM A UNDERGROUND RESERVOIR BY GAS INJECTION
US4646840A (en) * 1985-05-02 1987-03-03 Cameron Iron Works, Inc. Flotation riser
US4821164A (en) * 1986-07-25 1989-04-11 Stratamodel, Inc. Process for three-dimensional mathematical modeling of underground geologic volumes
US4918643A (en) * 1988-06-21 1990-04-17 At&T Bell Laboratories Method and apparatus for substantially improving the throughput of circuit simulators
US5058012A (en) * 1989-02-07 1991-10-15 Marathon Oil Company Method of extrapolating reservoir performance
US5202981A (en) * 1989-10-23 1993-04-13 International Business Machines Corporation Process and apparatus for manipulating a boundless data stream in an object oriented programming system
IE69192B1 (en) * 1990-12-21 1996-08-21 Hitachi Europ Ltd A method of generating partial differential equations for simulation a simulation method and a method of generating simulation programs
US5305209A (en) * 1991-01-31 1994-04-19 Amoco Corporation Method for characterizing subterranean reservoirs
US5321612A (en) * 1991-02-26 1994-06-14 Swift Energy Company Method for exploring for hydrocarbons utilizing three dimensional modeling of thermal anomalies
US5307445A (en) * 1991-12-02 1994-04-26 International Business Machines Corporation Query optimization by type lattices in object-oriented logic programs and deductive databases
US5794005A (en) * 1992-01-21 1998-08-11 The United States Of America As Represented By The Administrator Of The National Aeronautics And Space Administration Synchronous parallel emulation and discrete event simulation system with self-contained simulation objects and active event objects
US5361385A (en) * 1992-08-26 1994-11-01 Reuven Bakalash Parallel computing system for volumetric modeling, data processing and visualization
US5256171A (en) * 1992-09-08 1993-10-26 Atlantic Richfield Company Slug flow mitigtion for production well fluid gathering system
US5913051A (en) * 1992-10-09 1999-06-15 Texas Instruments Incorporated Method of simultaneous simulation of a complex system comprised of objects having structure state and parameter information
US5442569A (en) * 1993-06-23 1995-08-15 Oceanautes Inc. Method and apparatus for system characterization and analysis using finite element methods
WO1995003586A1 (en) * 1993-07-21 1995-02-02 Persistence Software, Inc. Method and apparatus for generation of code for mapping relational data to objects
US5428744A (en) * 1993-08-30 1995-06-27 Taligent, Inc. Object-oriented system for building a graphic image on a display
US5632336A (en) * 1994-07-28 1997-05-27 Texaco Inc. Method for improving injectivity of fluids in oil reservoirs
FR2725814B1 (en) * 1994-10-18 1997-01-24 Inst Francais Du Petrole METHOD FOR MAPPING BY INTERPOLATION, A NETWORK OF LINES, IN PARTICULAR THE CONFIGURATION OF GEOLOGICAL FAULTS
US5548798A (en) * 1994-11-10 1996-08-20 Intel Corporation Method and apparatus for solving dense systems of linear equations with an iterative method that employs partial multiplications using rank compressed SVD basis matrices of the partitioned submatrices of the coefficient matrix
WO1996022574A1 (en) * 1995-01-20 1996-07-25 The Board Of Trustees Of The Leland Stanford Junior University System and method for simulating operation of biochemical systems
US5740342A (en) * 1995-04-05 1998-04-14 Western Atlas International, Inc. Method for generating a three-dimensional, locally-unstructured hybrid grid for sloping faults
FR2734069B1 (en) * 1995-05-12 1997-07-04 Inst Francais Du Petrole METHOD FOR PREDICTING, BY AN INVERSION TECHNIQUE, THE EVOLUTION OF THE PRODUCTION OF AN UNDERGROUND DEPOSIT
JPH08320947A (en) * 1995-05-25 1996-12-03 Matsushita Electric Ind Co Ltd Method and device for generating mesh for numerical analysis
US5711373A (en) * 1995-06-23 1998-01-27 Exxon Production Research Company Method for recovering a hydrocarbon liquid from a subterranean formation
US6266708B1 (en) * 1995-07-21 2001-07-24 International Business Machines Corporation Object oriented application program development framework mechanism
US5629845A (en) * 1995-08-17 1997-05-13 Liniger; Werner Parallel computation of the response of a physical system
US5757663A (en) * 1995-09-26 1998-05-26 Atlantic Richfield Company Hydrocarbon reservoir connectivity tool using cells and pay indicators
US5706897A (en) * 1995-11-29 1998-01-13 Deep Oil Technology, Incorporated Drilling, production, test, and oil storage caisson
FR2742794B1 (en) * 1995-12-22 1998-01-30 Inst Francais Du Petrole METHOD FOR MODELING THE EFFECTS OF WELL INTERACTIONS ON THE AQUEOUS FRACTION PRODUCED BY AN UNDERGROUND HYDROCARBON DEPOSIT
US6063128A (en) * 1996-03-06 2000-05-16 Bentley Systems, Incorporated Object-oriented computerized modeling system
US5819068A (en) * 1996-05-31 1998-10-06 United Defense, Lp Temporally driven simulation engine
US5886702A (en) * 1996-10-16 1999-03-23 Real-Time Geometry Corporation System and method for computer modeling of 3D objects or surfaces by mesh constructions having optimal quality characteristics and dynamic resolution capabilities
US5875285A (en) * 1996-11-22 1999-02-23 Chang; Hou-Mei Henry Object-oriented data mining and decision making system
US6128577A (en) * 1996-12-19 2000-10-03 Schlumberger Technology Corporation Modeling geological structures and properties
US5905657A (en) * 1996-12-19 1999-05-18 Schlumberger Technology Corporation Performing geoscience interpretation with simulated data
US6219440B1 (en) * 1997-01-17 2001-04-17 The University Of Connecticut Method and apparatus for modeling cellular structure and function
FR2759473B1 (en) * 1997-02-12 1999-03-05 Inst Francais Du Petrole METHOD FOR SIMPLIFYING THE REALIZATION OF A SIMULATION MODEL OF A PHYSICAL PROCESS IN A MATERIAL MEDIUM
US6018497A (en) * 1997-02-27 2000-01-25 Geoquest Method and apparatus for generating more accurate earth formation grid cell property information for use by a simulator to display more accurate simulation results of the formation near a wellbore
US6052650A (en) * 1997-02-27 2000-04-18 Schlumberger Technology Corporation Enforcing consistency in geoscience models
US6693553B1 (en) * 1997-06-02 2004-02-17 Schlumberger Technology Corporation Reservoir management system and method
US6106561A (en) * 1997-06-23 2000-08-22 Schlumberger Technology Corporation Simulation gridding method and apparatus including a structured areal gridder adapted for use by a reservoir simulator
FR2765708B1 (en) * 1997-07-04 1999-09-10 Inst Francais Du Petrole METHOD FOR DETERMINING LARGE-SCALE REPRESENTATIVE HYDRAULIC PARAMETERS OF A CRACKED MEDIUM
US6195092B1 (en) * 1997-07-15 2001-02-27 Schlumberger Technology Corporation Software utility for creating and editing a multidimensional oil-well log graphics presentation
US5923867A (en) * 1997-07-31 1999-07-13 Adaptec, Inc. Object oriented simulation modeling
JP3050184B2 (en) * 1997-09-19 2000-06-12 日本電気株式会社 Tetrahedral lattice generation method and recording medium recording the program
US5864786A (en) * 1997-12-01 1999-01-26 Western Atlas International, Inc. Approximate solution of dense linear systems
US6236894B1 (en) * 1997-12-19 2001-05-22 Atlantic Richfield Company Petroleum production optimization utilizing adaptive network and genetic algorithm techniques
US5953239A (en) * 1997-12-29 1999-09-14 Exa Corporation Computer simulation of physical processes
US6101477A (en) * 1998-01-23 2000-08-08 American Express Travel Related Services Company, Inc. Methods and apparatus for a travel-related multi-function smartcard
US6052520A (en) * 1998-02-10 2000-04-18 Exxon Production Research Company Process for predicting behavior of a subterranean formation
US6665849B2 (en) * 1999-06-09 2003-12-16 Interuniversitair Microelektronica Centrum Vzw Method and apparatus for simulating physical fields
US6453275B1 (en) * 1998-06-19 2002-09-17 Interuniversitair Micro-Elektronica Centrum (Imec Vzw) Method for locally refining a mesh
US6373489B1 (en) * 1999-01-12 2002-04-16 Schlumberger Technology Corporation Scalable visualization for interactive geometry modeling
US6201884B1 (en) * 1999-02-16 2001-03-13 Schlumberger Technology Corporation Apparatus and method for trend analysis in graphical information involving spatial data
US6230101B1 (en) * 1999-06-03 2001-05-08 Schlumberger Technology Corporation Simulation method and apparatus
US6853921B2 (en) * 1999-07-20 2005-02-08 Halliburton Energy Services, Inc. System and method for real time reservoir management
US6266619B1 (en) * 1999-07-20 2001-07-24 Halliburton Energy Services, Inc. System and method for real time reservoir management
US6549879B1 (en) * 1999-09-21 2003-04-15 Mobil Oil Corporation Determining optimal well locations from a 3D reservoir model
US7006959B1 (en) * 1999-10-12 2006-02-28 Exxonmobil Upstream Research Company Method and system for simulating a hydrocarbon-bearing formation
FR2801710B1 (en) * 1999-11-29 2002-05-03 Inst Francais Du Petrole METHOD FOR GENERATING A HYBRID MESH FOR MODELING A HETEROGENEOUS FORMATION CROSSED BY ONE OR MORE WELLS
US6928399B1 (en) * 1999-12-03 2005-08-09 Exxonmobil Upstream Research Company Method and program for simulating a physical system using object-oriented programming
FR2802324B1 (en) * 1999-12-10 2004-07-23 Inst Francais Du Petrole METHOD FOR GENERATING A MESH ON A HETEROGENEOUS FORMATION CROSSED BY ONE OR MORE GEOMETRIC DISCONTINUITIES FOR THE PURPOSE OF MAKING SIMULATIONS
US6305216B1 (en) * 1999-12-21 2001-10-23 Production Testing Services Method and apparatus for predicting the fluid characteristics in a well hole
US6370491B1 (en) * 2000-04-04 2002-04-09 Conoco, Inc. Method of modeling of faulting and fracturing in the earth
FR2809494B1 (en) * 2000-05-26 2002-07-12 Inst Francais Du Petrole METHOD FOR MODELING FLOWS IN A FRACTURE MEDIUM CROSSED BY LARGE FRACTURES
US6487524B1 (en) * 2000-06-08 2002-11-26 Bbnt Solutions Llc Methods and apparatus for designing a system using the tensor convolution block toeplitz-preconditioned conjugate gradient (TCBT-PCG) method
US7369973B2 (en) * 2000-06-29 2008-05-06 Object Reservoir, Inc. Method and system for representing reservoir systems
US7006951B2 (en) * 2000-06-29 2006-02-28 Object Reservoir, Inc. Method for solving finite element models using time slabbing
US6631202B2 (en) * 2000-12-08 2003-10-07 Landmark Graphics Corporation Method for aligning a lattice of points in response to features in a digital image
WO2002086277A2 (en) * 2001-04-24 2002-10-31 Exxonmobil Upstream Research Company Method for enhancing production allocation in an integrated reservoir and surface flow system
US6989841B2 (en) * 2001-05-29 2006-01-24 Fairfield Industries, Inc. Visualization method for the analysis of prestack and poststack seismic data
US6694264B2 (en) * 2001-12-19 2004-02-17 Earth Science Associates, Inc. Method and system for creating irregular three-dimensional polygonal volume models in a three-dimensional geographic information system
FR2837572B1 (en) * 2002-03-20 2004-05-28 Inst Francais Du Petrole METHOD FOR MODELING HYDROCARBON PRODUCTION FROM A SUBTERRANEAN DEPOSITION SUBJECT TO DEPLETION
US7574330B2 (en) * 2002-12-06 2009-08-11 Siemens Product Lifecycle Management Software Inc. Method and apparatus for analyzing engineering problems using a finite element technique with differential formulation
US6823297B2 (en) * 2003-03-06 2004-11-23 Chevron U.S.A. Inc. Multi-scale finite-volume method for use in subsurface flow simulation
US7167817B2 (en) * 2003-09-17 2007-01-23 The Mathworks, Inc. Automated approach to resolving artificial algebraic loops
CN100590637C (en) * 2003-09-30 2010-02-17 埃克森美孚上游研究公司 Characterizing connectivity in reservoir models using paths of least resistance
US7057907B2 (en) * 2003-11-21 2006-06-06 Fairchild Semiconductor Corporation Power converter having improved control
US20050165555A1 (en) * 2004-01-13 2005-07-28 Baker Hughes Incorporated 3-D visualized data set for all types of reservoir data
US7418370B2 (en) * 2004-03-31 2008-08-26 International Business Machines Corporation Method, apparatus and computer program providing broadband preconditioning based on reduced coupling for numerical solvers
US20080167849A1 (en) * 2004-06-07 2008-07-10 Brigham Young University Reservoir Simulation
US7526418B2 (en) * 2004-08-12 2009-04-28 Saudi Arabian Oil Company Highly-parallel, implicit compositional reservoir simulator for multi-million-cell models
FR2874706B1 (en) * 2004-08-30 2006-12-01 Inst Francais Du Petrole METHOD OF MODELING THE PRODUCTION OF A PETROLEUM DEPOSITION
US7516056B2 (en) * 2005-04-26 2009-04-07 Schlumberger Technology Corporation Apparatus, method and system for improved reservoir simulation using a multiplicative overlapping Schwarz preconditioning for adaptive implicit linear systems
CN101203862B (en) * 2005-06-28 2011-03-23 埃克森美孚上游研究公司 High-level graphical programming language and tool for oil well management programming
US7822289B2 (en) * 2006-07-25 2010-10-26 Microsoft Corporation Locally adapted hierarchical basis preconditioning

Also Published As

Publication number Publication date
WO2010039326A1 (en) 2010-04-08
EP2350810A1 (en) 2011-08-03
CN102165413A (en) 2011-08-24
EP2350810A4 (en) 2013-06-05
CA2730446A1 (en) 2010-04-08
US20100082509A1 (en) 2010-04-01
BRPI0919456A2 (en) 2015-12-22

Similar Documents

Publication Publication Date Title
WO2010039326A8 (en) Self-adapting iterative solver
WO2011150346A3 (en) Accelerator system for use with secure data storage
WO2011161548A3 (en) Computer implemented tool box systems and methods
WO2011146532A3 (en) Reduced-pressure canisters and methods for recycling
IL197386A (en) Product, device and method for handling a touch event at a contact surface
WO2010080722A3 (en) System and method for concurrently conducting cause-and-effect experiments on content effectiveness and adjusting content distribution to optimize business objectives
WO2014134016A3 (en) Multiple processor motor control for modular surgical instruments
WO2012088512A3 (en) Mobile phone atm processing methods and systems
WO2014016695A3 (en) Presence-based credential updating
WO2011087909A3 (en) User communication analysis systems and methods
WO2014052756A3 (en) Identifying and mitigating malicious network threats
WO2014151088A3 (en) Systems and methods for genomic variant annotation
WO2014015072A3 (en) Universal protocol for power tools
WO2014062304A3 (en) Hierarchical decorrelation of multichannel audio
WO2014113249A3 (en) Ion exchange enhanced absorbent systems
WO2012174554A3 (en) Systems, apparatus, and methods for collaborative and distributed emergency multimedia data management
WO2010101788A3 (en) Access control using identifiers in links
WO2008070362A3 (en) System and method for converting a natural language query into a logical query
WO2010030765A3 (en) Temporally separate touch input
WO2009059045A3 (en) Fast iterative method for processing hamilton-jacobi equations
WO2014098560A3 (en) A system and method for transforming an abstract representation to a linguistic representation and vice versa
EP2361069A4 (en) Reduced-pressure, wound-treatment dressings and systems
WO2012087561A3 (en) Systems, apparatuses, and methods for a hardware and software system to automatically decompose a program to multiple parallel threads
WO2012158257A3 (en) Typing input systems, methods, and devices
WO2014047565A3 (en) Application hosting within a secured framework in a fueling environment

Legal Events

Date Code Title Description
WWE Wipo information: entry into national phase

Ref document number: 200980138527.8

Country of ref document: CN

121 Ep: the epo has been informed by wipo that ep was designated in this application

Ref document number: 09818158

Country of ref document: EP

Kind code of ref document: A1

ENP Entry into the national phase

Ref document number: 2730446

Country of ref document: CA

WWE Wipo information: entry into national phase

Ref document number: 458/CHENP/2011

Country of ref document: IN

NENP Non-entry into the national phase

Ref country code: DE

WWE Wipo information: entry into national phase

Ref document number: 2009818158

Country of ref document: EP

ENP Entry into the national phase

Ref document number: PI0919456

Country of ref document: BR

Kind code of ref document: A2

Effective date: 20110328