Patents by Inventor Hamdi A. Tchelepi
Hamdi A. Tchelepi has filed for patents to protect the following inventions. This listing includes patent applications that are pending as well as patents that have already been granted by the United States Patent and Trademark Office (USPTO).
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Publication number: 20230125944Abstract: A reservoir simulation platform is provided. The reservoir simulation platform includes a mimetic finite discretization scheme and an operator-based linearization approach. The reservoir simulation system further includes a parallel framework for coupling the mimetic finite discretization scheme and the operator-based linearization approach.Type: ApplicationFiled: October 25, 2022Publication date: April 27, 2023Inventors: Ahmad Sami Abushaika, Kirill Terekhov, Longlong Li, Hamdi Tchelepi, Denis Voskov
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Patent number: 11280935Abstract: A method can include receiving information associated with a geologic environment; based at least in part on the information, computing values associated with multiphase fluid flow in the geologic environment using a viscous flow upwind scheme and a buoyancy flow upwind scheme; and outputting at least a portion of the computed values.Type: GrantFiled: April 29, 2016Date of Patent: March 22, 2022Assignees: CHEVRON U.S.A. INC., SCHLUMBERGER TECHNOLOGY CORPORATIONInventors: Seong Lee, Yalchin Efendiev, Hamdi Tchelepi
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Publication number: 20180329112Abstract: A method can include receiving information associated with a geologic environment; based at least in part on the information, computing values associated with multiphase fluid flow in the geologic environment using a viscous flow upwind scheme and a buoyancy flow upwind scheme; and outputting at least a portion of the computed values.Type: ApplicationFiled: April 29, 2016Publication date: November 15, 2018Inventors: Seong Lee, Yalchin Efendiev, Hamdi Tchelepi
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Patent number: 8412502Abstract: The invention relates to a method of performing an oilfield operation of an oilfield having at least one wellsite, each wellsite having a wellbore penetrating a subterranean formation for extracting fluid from an underground reservoir therein. The method includes determining a time-step for simulating the reservoir, the reservoir being represented as a plurality of gridded cells and being modeled as a multi-phase system using a plurality of partial differential equations, calculating a plurality of Courant-Friedrichs-Lewy (CFL) conditions of the reservoir model corresponding to the time-step, the plurality of CFL conditions comprising a temperature CFL condition, a composition CFL condition, and a saturation CFL condition, simulating a first cell of the plurality of gridded cells with an Implicit Pressure, Explicit Saturations (IMPES) system, and simulating a second cell of the plurality of gridded cells with a Fully Implicit Method (FIM) system.Type: GrantFiled: December 3, 2010Date of Patent: April 2, 2013Assignee: Schlumberger Technology CorporationInventors: Arthur Regis Catherin Moncorge, Hamdi A. Tchelepi
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Patent number: 8346523Abstract: Computer-implemented systems and methods are provided for an upscaling approach based on dynamic simulation of a given model. A system and method can be configured such that the accuracy of the upscaled model is continuously monitored via indirect error measures. If the indirect error measures are bigger than a specified tolerance, the upscaled model is dynamically updated with approximate fine-scale information that is reconstructed by a multi-scale finite volume method. Upscaling of multi-phase flow can include flow information in the underlying fine-scale. Adaptive prolongation and restriction operators are applied for flow and transport equations in constructing an approximate fine-scale solution.Type: GrantFiled: September 1, 2009Date of Patent: January 1, 2013Assignees: Chevron U.S.A. Inc., Schlumberger Technology CorporationInventors: Seong H. Lee, Hui Zhou, Hamdi A. Tchelepi
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Patent number: 8204726Abstract: A multi-scale method to efficiently determine the fine-scale saturation arising from multi-phase flow in a subsurface reservoir is disclosed. The method includes providing a simulation model that includes a fine-scale grid defining a plurality of fine-scale cells, and a coarse-scale grid defining a plurality of coarse-scale cells that are aggregates of the fine-scale cells. The coarse-scale cells are partitioned into saturation regions responsive to velocity and/or saturation changes from the saturation front. A fine-scale saturation is determined for each region and the saturation regions are assembled to obtain a fine-scale saturation distribution. A visual display can be output responsive to the fine-scale saturation distribution.Type: GrantFiled: May 14, 2009Date of Patent: June 19, 2012Assignees: Chevron U.S.A. Inc., Schlumberger Technology CorporationInventors: Seong H. Lee, Hui Zhou, Hamdi A. Tchelepi
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Publication number: 20110077922Abstract: The invention relates to a method of performing an oilfield operation of an oilfield having at least one wellsite, each wellsite having a wellbore penetrating a subterranean formation for extracting fluid from an underground reservoir therein. The method includes determining a time-step for simulating the reservoir, the reservoir being represented as a plurality of gridded cells and being modeled as a multi-phase system using a plurality of partial differential equations, calculating a plurality of Courant-Friedrichs-Lewy (CFL) conditions of the reservoir model corresponding to the time-step, the plurality of CFL conditions comprising a temperature CFL condition, a composition CFL condition, and a saturation CFL condition, simulating a first cell of the plurality of gridded cells with an Implicit Pressure, Explicit Saturations (IMPES) system, and simulating a second cell of the plurality of gridded cells with a Fully Implicit Method (FIM) system.Type: ApplicationFiled: December 3, 2010Publication date: March 31, 2011Applicants: SCHLUMBERGER TECHNOLOGY CORPORATON, TOTAL SA, CHEVRON U.S.A. INC.Inventors: Arthur MONCORGÉ, Hamdi A. TCHELEPI
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Patent number: 7877246Abstract: The invention relates to a method of performing an oilfield operation of an oilfield having at least one wellsite, each wellsite having a wellbore penetrating a subterranean formation for extracting fluid from an underground reservoir therein. The method includes determining a time-step for simulating the reservoir, the reservoir being represented as a plurality of gridded cells and being modeled as a multi-phase system using a plurality of partial differential equations, calculating a plurality of Courant-Friedrichs-Lewy (CFL) conditions of the reservoir model corresponding to the time-step, the plurality of CFL conditions comprising a temperature CFL condition, a composition CFL condition, and a saturation CFL condition, simulating a first cell of the plurality of gridded cells with an Implicit Pressure, Explicit Saturations (IMPES) system, and simulating a second cell of the plurality of gridded cells with a Fully Implicit Method (FIM) system.Type: GrantFiled: September 21, 2007Date of Patent: January 25, 2011Assignees: Schlumberger Technology Corporation, Total SA, Chevron U.S.A Inc.Inventors: Arthur Regis Catherin Moncorgé, Hamdi A. Tchelepi
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Patent number: 7765091Abstract: A multi-scale finite-volume (MSFV) method simulates nonlinear immiscible three-phase compressible flow in the presence of gravity and capillary forces. Consistent with the MSFV framework, flow and transport are treated separately and differently using a fully implicit sequential algorithm. The pressure field is solved using an operator splitting algorithm. The general solution of the pressure is decomposed into an elliptic part, a buoyancy/capillary force dominant part, and an inhomogeneous part with source/sink and accumulation. A MSFV method is used to compute the basis functions of the elliptic component, capturing long range interactions in the pressure field. Direct construction of the velocity field and solution of the transport problem on the primal coarse grid provides flexibility in accommodating physical mechanisms. A MSFV method computes an approximate pressure field, including a solution of a course-scale pressure equation; constructs fine-scale fluxes; and computes a phase-transport equation.Type: GrantFiled: June 14, 2007Date of Patent: July 27, 2010Assignees: Chevron U.S.A Inc., Schlumberger Technology Corporation, ETH ZurichInventors: Seong H. Lee, Christian Wolfsteiner, Hamdi A. Tchelepi, Patrick Jenny, Ivan Fabrizio Lunati
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Patent number: 7684967Abstract: 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.Type: GrantFiled: June 14, 2006Date of Patent: March 23, 2010Assignee: Schlumberger Technology CorporationInventors: John Wallis, Hamdi A. Tchelepi
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Publication number: 20100057413Abstract: Computer-implemented systems and methods are provided for an upscaling approach based on dynamic simulation of a given model. A system and method can be configured such that the accuracy of the upscaled model is continuously monitored via indirect error measures. If the indirect error measures are bigger than a specified tolerance, the upscaled model is dynamically updated with approximate fine-scale information that is reconstructed by a multi-scale finite volume method. Upscaling of multi-phase flow can include flow information in the underlying fine-scale. Adaptive prolongation and restriction operators are applied for flow and transport equations in constructing an approximate fine-scale solution.Type: ApplicationFiled: September 1, 2009Publication date: March 4, 2010Applicant: Chevron U.S.A. Inc.Inventors: Seong H. Lee, Hui Zhou, Hamdi A. Tchelepi
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Publication number: 20090319242Abstract: A multi-scale method to efficiently determine the fine-scale saturation arising from multi-phase flow in a subsurface reservoir is disclosed. The method includes providing a simulation model that includes a fine-scale grid defining a plurality of fine-scale cells, and a coarse-scale grid defining a plurality of coarse-scale cells that are aggregates of the fine-scale cells. The coarse-scale cells are partitioned into saturation regions responsive to velocity and/or saturation changes from the saturation front. A fine-scale saturation is determined for each region and the saturation regions are assembled to obtain a fine-scale saturation distribution. A visual display can be output responsive to the fine-scale saturation distribution.Type: ApplicationFiled: May 14, 2009Publication date: December 24, 2009Applicants: Chevron U.S.A. Inc., Schlumberger Technology CorporationInventors: Seong H. Lee, Hui Zhou, Hamdi A. Tchelepi
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Patent number: 7546229Abstract: A multi-scale finite-volume (MSFV) method to solve elliptic problems with a plurality of spatial scales arising from single or multi-phase flows in porous media is provided. Two sets of locally computed basis functions are employed. A first set of basis functions captures the small-scale heterogeneity of the underlying permeability field, and it is computed to construct the effective coarse-scale transmissibilities. A second set of basis functions is required to construct a conservative fine-scale velocity field. The method efficiently captures the effects of small scales on a coarse grid, is conservative, and treats tensor permeabilities correctly. The underlying idea is to construct transmissibilities that capture the local properties of a differential operator. This leads to a multi-point discretization scheme for a finite-volume solution algorithm. Transmissibilities for the MSFV method are preferably constructed only once as a preprocessing step and can be computed locally.Type: GrantFiled: November 22, 2004Date of Patent: June 9, 2009Assignees: Chevron U.S.A. Inc., Schlumberger Technology CorporationInventors: Patrick Jenny, Seong Lee, Hamdi A. Tchelepi
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Patent number: 7516056Abstract: 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.Type: GrantFiled: April 25, 2006Date of Patent: April 7, 2009Assignee: Schlumberger Technology CorporationInventors: John Wallis, Hamdi A. Tchelepi, Hui Cao
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Patent number: 7505882Abstract: An apparatus and method are provided for solving a non-linear S-shaped function F=ƒ(S) which is representative of a property S in a physical system, such saturation in a reservoir simulation. A Newton iteration (T) is performed on the function ƒ(S) at Sv to determine a next iterative value Sv+1. It is then determined whether Sv+1 is located on the opposite side of the inflection point Sc from Sv. If Sv+1 is located on the opposite side of the inflection point from Sv, then Sv+1 is set to Sl, a modified new estimate. The modified new estimate, Sl, is preferably set to either the inflection point, Sc, or to an average value between Sv and Sv+1, i.e., Sl=0.5(Sv+Sv+1). The above steps are repeated until Sv+1 is within the predetermined convergence criteria. Also, solution algorithms are described for two-phase and three-phase flow with gravity and capillary pressure.Type: GrantFiled: March 15, 2006Date of Patent: March 17, 2009Assignee: Chevron U.S.A. Inc.Inventors: Patrick Jenny, Hamdi A. Tchelepi, Seong H. Lee
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Publication number: 20090055141Abstract: The invention relates to a method of performing an oilfield operation of an oilfield having at least one wellsite, each wellsite having a wellbore penetrating a subterranean formation for extracting fluid from an underground reservoir therein.Type: ApplicationFiled: September 21, 2007Publication date: February 26, 2009Applicants: SCHLUMBERGER TECHNOLOGY CORPORATION, Total SA, Chevron U.S.A. Inc.Inventors: Arthur Moncorge, Hamdi A. Tchelepi
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Patent number: 7496488Abstract: A multi-scale finite-volume (MSFV) method to solve elliptic problems with a plurality of spatial scales arising from single or multi-phase flows in porous media is provided. The method efficiently captures the effects of small scales on a coarse grid, is conservative, and treats tensor permeabilities correctly. The underlying idea is to construct transmissibilities that capture the local properties of a differential operator. This leads to a multi-point discretization scheme for a finite-volume solution algorithm. Transmissibilities for the MSFV method are preferably constructed only once as a preprocessing step and can be computed locally.Type: GrantFiled: November 23, 2004Date of Patent: February 24, 2009Assignees: Schlumberger Technology Company, Chevron U.S.A. Inc., ETH ZurichInventors: Patrick Jenny, Seong Lee, Hamdi A. Tchelepi
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Publication number: 20080208539Abstract: A multi-scale finite-volume (MSFV) method simulates nonlinear immiscible three-phase compressible flow in the presence of gravity and capillary forces. Consistent with the MSFV framework, flow and transport are treated separately and differently using a fully implicit sequential algorithm. The pressure field is solved using an operator splitting algorithm. The general solution of the pressure is decomposed into an elliptic part, a buoyancy/capillary force dominant part, and an inhomogeneous part with source/sink and accumulation. A MSFV method is used to compute the basis functions of the elliptic component, capturing long range interactions in the pressure field. Direct construction of the velocity field and solution of the transport problem on the primal coarse grid provides flexibility in accommodating physical mechanisms. A MSFV method computes an approximate pressure field, including a solution of a course-scale pressure equation; constructs fine-scale fluxes; and computes a phase-transport equation.Type: ApplicationFiled: June 14, 2007Publication date: August 28, 2008Applicant: Chevron U.S.A. Inc.Inventors: Seong H. Lee, Christian Wolfsteiner, Hamdi A. Tchelepi, Patrick Jenny, Ivan Fabrizio Lunati
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Publication number: 20070010979Abstract: 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.Type: ApplicationFiled: June 14, 2006Publication date: January 11, 2007Applicant: SCHLUMBERGER TECHNOLOGY CORPORATIONInventors: John Wallis, Hamdi Tchelepi
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Publication number: 20060265204Abstract: 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.Type: ApplicationFiled: April 25, 2006Publication date: November 23, 2006Applicant: Schlumberger Technology CorporationInventors: John Wallis, Hamdi Tchelepi, Hui Cao