Michael Michelsen - Academia.edu (original) (raw)

Papers by Michael Michelsen

Research paper thumbnail of A Model for Estimating CO 2 Solubility in Aqueous Alkanolamines

Industrial & Engineering Chemistry Research, 2005

Partial pressures of carbon dioxide (CO 2 ) over aqueous solutions of monoethanolamine (MEA), die... more Partial pressures of carbon dioxide (CO 2 ) over aqueous solutions of monoethanolamine (MEA), diethanolamine (DEA), and N-methyldiethanolamine (MDEA) have been correlated using a simple approach where only one chemical ...

Research paper thumbnail of Calculation of critical points and phase boundaries in the critical region

Fluid Phase Equilibria, 1983

... in The Netherlands CALCULATION OF CRITICAL POINTS AND PHASE BOUNDARIES IN THE CRITICAL REGION... more ... in The Netherlands CALCULATION OF CRITICAL POINTS AND PHASE BOUNDARIES IN THE CRITICAL REGION MICHAEL L. MICHELSEN ... to be of the general form P Pap(1 2 3)b In K uz 2o ... by a single equation of state has recently been developed by Heidemann and Khalil ...

Research paper thumbnail of Simplified flash calculations for Cubic Equations of State

Industrial Engineering Chemistry Process Design and Development, 1986

... useful, is for modeling mixtures containing a large number of not well-defined components, ie... more ... useful, is for modeling mixtures containing a large number of not well-defined components, ie, in ... depend on a, b, T, and P only (taking into account that the volume v is ... a switch to solving a simpler problem whenever the Newton-Raphson method predicts an excessive correction ...

Research paper thumbnail of Sensitivity analysis in index-1 differential algebraic equations by ESDIRK methods

Research paper thumbnail of Construction of a set of orthogonal polynomials

The Chemical Engineering Journal, 1987

Research paper thumbnail of Three-phase Compositional Streamline Simulation and Its Application to WAG

Proceedings of SPE/DOE Symposium on Improved Oil Recovery, 2004

Research paper thumbnail of Comments on "Material stability of multicomponent mixtures and the multiplicity of solutions to phase-equilibrium equations. 1. Nonreacting mixtures

Industrial & Engineering Chemistry Fundamentals, 1984

... 1. Nonreacting Mixtures” Sir: In his letter, Dr. Michelsen raises three main points which we ... more ... 1. Nonreacting Mixtures” Sir: In his letter, Dr. Michelsen raises three main points which we will respond to individually below. ... Such mixtures exist in nature and in the laboratory (eg, see Reid (1978) on su-perheat limit temperatures in pure fluids and mixtures). ...

Research paper thumbnail of Simplified flash calculations for Cubic Equations of State

Industrial & Engineering Chemistry Process Design and Development, 1986

... useful, is for modeling mixtures containing a large number of not well-defined components, ie... more ... useful, is for modeling mixtures containing a large number of not well-defined components, ie, in ... depend on a, b, T, and P only (taking into account that the volume v is ... a switch to solving a simpler problem whenever the Newton-Raphson method predicts an excessive correction ...

Research paper thumbnail of On Application of non-cubic EoS to Compositional Reservoir Simulation

SPE EUROPEC/EAGE Annual Conference and Exhibition, 2011

... On Application of Non-cubic EoS to Compositional Reservoir Simulation Wei Yan, SPE, Michael L... more ... On Application of Non-cubic EoS to Compositional Reservoir Simulation Wei Yan, SPE, Michael L. Michelsen, Erling H. Stenby, SPE, Technical ... Actually, there are several attempts to apply PC-SAFT to reservoir fluid systems (Gonzalez et al., 2005, 2007a, 2007b; Vargas et al ...

Research paper thumbnail of A least-squares method for residence time distribution analysis

The Chemical Engineering Journal, 1972

Research paper thumbnail of A modified Huron-Vidal mixing rule for cubic equations of state

Fluid Phase Equilibria, 1990

... A MODIFIED HURON-VIDAL MIXING RULE FOR CUBIC EQUATIONS OF STATE MICHAEL L. MICHELSEN ... Heid... more ... A MODIFIED HURON-VIDAL MIXING RULE FOR CUBIC EQUATIONS OF STATE MICHAEL L. MICHELSEN ... Heidemann and Kokal, 1990R.A. Heidemann and SL Kokal, Combined excess free energy ... Abstract | PDF (1269 K) | View Record in Scopus | Cited By in Scopus (57). ...

Research paper thumbnail of The isothermal flash problem. Part II. Phase-split calculation

Fluid Phase Equilibria, 1982

... PHASE-SPLIT CALCULATION MICHAEL L. MICHELSEN Institutfet for Kemiteknik, Danmarks Tekniske Hd... more ... PHASE-SPLIT CALCULATION MICHAEL L. MICHELSEN Institutfet for Kemiteknik, Danmarks Tekniske Hdjskole, Bygning 229, 2800 Lyngby (Denmark) (Received September 25th, 1981) ABSTRACT Michelsen, ML., 1982. ... Mehra, RK, Heidemann, RA and Aziz, K., 1980a. ...

Research paper thumbnail of The isothermal flash problem. Part I. Stability

Fluid Phase Equilibria, 1982

Fluid Phase Equilibria, 9 (1982) 119 1 Elsevier Scientific Publishing Company, AmsterdamPrinted i... more Fluid Phase Equilibria, 9 (1982) 119 1 Elsevier Scientific Publishing Company, AmsterdamPrinted in The Netherlands THE ISOTHERMAL FLASH PROBLEM. PART I. STABILITY MICHAEL L. MICHELSEN Institultet for Kemiteknik, Danmarks Tekniske Hjskole, Byning 229, 2800 ...

Research paper thumbnail of Impact of Phase Behavior Modeling on In-Situ Combustion Process Performance

SPE Symposium on Improved Oil Recovery, 2008

... MR Kristensen, SPE, Technical University of Denmark; MG Gerritsen, SPE, Stanford University; ... more ... MR Kristensen, SPE, Technical University of Denmark; MG Gerritsen, SPE, Stanford University; PG Thomsen, ML Michelsen and EH Stenby, SPE ... the so-called minimal model, used in STARS and most commercial applications, and the more involved SARA fractions model ...

Research paper thumbnail of Coupling Chemical Kinetics and Flashes in Reactive, Thermal and Compositional Reservoir Simulation

Proceedings of SPE Reservoir Simulation Symposium, 2007

Page 1. SPE 106218 Coupling Chemical Kinetics and Flashes in Reactive, Thermal and Compositional ... more Page 1. SPE 106218 Coupling Chemical Kinetics and Flashes in Reactive, Thermal and Compositional Reservoir Simulation MR Kristensen, SPE, Technical U. of Denmark; MG Gerritsen, SPE, Stanford U.; and PG Thomsen ...

Research paper thumbnail of 1D Simulations for Microbial Enhanced Oil Recovery with Metabolite Partitioning

Transport in Porous Media, 2010

Research paper thumbnail of A Comparative Study of Reduced-Variables-Based Flash and Conventional Flash

SPE Journal, 2013

ABSTRACT Speeding up flash calculation is a central issue in compositional reservoir simulations ... more ABSTRACT Speeding up flash calculation is a central issue in compositional reservoir simulations since phase equilibrium calculation is the most time-consuming part in those simulations. The reduced variables methods, or the reduction methods, reformulate the original phase equilibrium problem with a smaller set of independent variables. Various versions of the reduced variables methods have been proposed since the mid 80's. The methods were first proposed for cubic equations of state (EoS) with zero binary interaction parameters (BIPs) and later generalized to situations with non-zero BIP matrices. Most of the studies in the last decade suggest that the reduced variables methods are much more efficient than the conventional flash method. However, Haugen and Beckner questioned the advantages of the reduced variables methods in their recent paper (SPE 141399). A fair comparison between the reduced variables based flash and the conventional flash is not straightforward since the former is difficult to be formulated as unconstrained minimization and involves more complicated composition derivatives. With the recent formulations by Nichita and Graciaa (2010), it is possible to code the reduced variables methods without extensive modifications of Michelsen's conventional flash algorithm. A minimization based reduced variables algorithm was coded and compared with the conventional minimization based flash. A test using the SPE 3 example showed that the best reduction in time was less than 20% for the extreme situation of 25 components and just one row/column with non-zero BIPs. A better performance can actually be achieved by a simpler implementation directly using the sparsity of the BIP matrix.1. Introduction As a fundamental type of phase equilibrium calculations, flash calculation is widely employed in different simulations, such as chemical process simulations, pipeline simulations, and compositional reservoir simulations. Speed is important for simulating all those processes and particularly crucial to compositional reservoir simulations. Compared with black oil reservoir simulations, equations of state (EoS) based compositional reservoir simulations involve more rigorous but more complicated thermodynamic descriptions, and the time spent on phase equilibrium calculations account for most of the simulation time. Therefore, speeding up the phase equilibrium calculations has always been a key issue in development of compositional reservoir simulators. The phase equilibrium problems in compositional reservoir simulations can be solved either separately or together with the transport equations. The former case corresponds to the classical flash problem, which is solved in two steps for a blind calculation: a stability analysis step to judge whether the feed is stable and if unstable, a phase split step to calculate phase amounts and compositions using the initial estimates from the first step. The latter case also needs stability analysis for single phases but does not have the same phase split calculation since phase equilibrium equations are solved together with the transport equations. Nevertheless, both the phase equilibrium calculation in the latter case and the phase split calculation in the classical flash require an efficient thermodynamic package to provide relevant properties including fugacities and their composition derivatives.

Research paper thumbnail of Phase Envelope Calculations for Hydrocarbon-Water Mixtures

SPE Journal, 2003

ABSTRACT

Research paper thumbnail of Study on the Application of the Tie-Line-Table-Look-Up-Based Methods to Flash Calculations in Compositional Simulations

Research paper thumbnail of On the estimation of water pure compound parameters in association theories

Molecular Physics, 2007

Determination of the appropriate number of association sites and estimation of parameters for ass... more Determination of the appropriate number of association sites and estimation of parameters for association (SAFT-type) theories is not a trivial matter. Building further on a recently published manuscript by Clark et al., this work investigates aspects of the parameter estimation for water using two different association theories. Their performance for various properties as well as against the results presented earlier is demonstrated.

Research paper thumbnail of A Model for Estimating CO 2 Solubility in Aqueous Alkanolamines

Industrial & Engineering Chemistry Research, 2005

Partial pressures of carbon dioxide (CO 2 ) over aqueous solutions of monoethanolamine (MEA), die... more Partial pressures of carbon dioxide (CO 2 ) over aqueous solutions of monoethanolamine (MEA), diethanolamine (DEA), and N-methyldiethanolamine (MDEA) have been correlated using a simple approach where only one chemical ...

Research paper thumbnail of Calculation of critical points and phase boundaries in the critical region

Fluid Phase Equilibria, 1983

... in The Netherlands CALCULATION OF CRITICAL POINTS AND PHASE BOUNDARIES IN THE CRITICAL REGION... more ... in The Netherlands CALCULATION OF CRITICAL POINTS AND PHASE BOUNDARIES IN THE CRITICAL REGION MICHAEL L. MICHELSEN ... to be of the general form P Pap(1 2 3)b In K uz 2o ... by a single equation of state has recently been developed by Heidemann and Khalil ...

Research paper thumbnail of Simplified flash calculations for Cubic Equations of State

Industrial Engineering Chemistry Process Design and Development, 1986

... useful, is for modeling mixtures containing a large number of not well-defined components, ie... more ... useful, is for modeling mixtures containing a large number of not well-defined components, ie, in ... depend on a, b, T, and P only (taking into account that the volume v is ... a switch to solving a simpler problem whenever the Newton-Raphson method predicts an excessive correction ...

Research paper thumbnail of Sensitivity analysis in index-1 differential algebraic equations by ESDIRK methods

Research paper thumbnail of Construction of a set of orthogonal polynomials

The Chemical Engineering Journal, 1987

Research paper thumbnail of Three-phase Compositional Streamline Simulation and Its Application to WAG

Proceedings of SPE/DOE Symposium on Improved Oil Recovery, 2004

Research paper thumbnail of Comments on "Material stability of multicomponent mixtures and the multiplicity of solutions to phase-equilibrium equations. 1. Nonreacting mixtures

Industrial & Engineering Chemistry Fundamentals, 1984

... 1. Nonreacting Mixtures” Sir: In his letter, Dr. Michelsen raises three main points which we ... more ... 1. Nonreacting Mixtures” Sir: In his letter, Dr. Michelsen raises three main points which we will respond to individually below. ... Such mixtures exist in nature and in the laboratory (eg, see Reid (1978) on su-perheat limit temperatures in pure fluids and mixtures). ...

Research paper thumbnail of Simplified flash calculations for Cubic Equations of State

Industrial & Engineering Chemistry Process Design and Development, 1986

... useful, is for modeling mixtures containing a large number of not well-defined components, ie... more ... useful, is for modeling mixtures containing a large number of not well-defined components, ie, in ... depend on a, b, T, and P only (taking into account that the volume v is ... a switch to solving a simpler problem whenever the Newton-Raphson method predicts an excessive correction ...

Research paper thumbnail of On Application of non-cubic EoS to Compositional Reservoir Simulation

SPE EUROPEC/EAGE Annual Conference and Exhibition, 2011

... On Application of Non-cubic EoS to Compositional Reservoir Simulation Wei Yan, SPE, Michael L... more ... On Application of Non-cubic EoS to Compositional Reservoir Simulation Wei Yan, SPE, Michael L. Michelsen, Erling H. Stenby, SPE, Technical ... Actually, there are several attempts to apply PC-SAFT to reservoir fluid systems (Gonzalez et al., 2005, 2007a, 2007b; Vargas et al ...

Research paper thumbnail of A least-squares method for residence time distribution analysis

The Chemical Engineering Journal, 1972

Research paper thumbnail of A modified Huron-Vidal mixing rule for cubic equations of state

Fluid Phase Equilibria, 1990

... A MODIFIED HURON-VIDAL MIXING RULE FOR CUBIC EQUATIONS OF STATE MICHAEL L. MICHELSEN ... Heid... more ... A MODIFIED HURON-VIDAL MIXING RULE FOR CUBIC EQUATIONS OF STATE MICHAEL L. MICHELSEN ... Heidemann and Kokal, 1990R.A. Heidemann and SL Kokal, Combined excess free energy ... Abstract | PDF (1269 K) | View Record in Scopus | Cited By in Scopus (57). ...

Research paper thumbnail of The isothermal flash problem. Part II. Phase-split calculation

Fluid Phase Equilibria, 1982

... PHASE-SPLIT CALCULATION MICHAEL L. MICHELSEN Institutfet for Kemiteknik, Danmarks Tekniske Hd... more ... PHASE-SPLIT CALCULATION MICHAEL L. MICHELSEN Institutfet for Kemiteknik, Danmarks Tekniske Hdjskole, Bygning 229, 2800 Lyngby (Denmark) (Received September 25th, 1981) ABSTRACT Michelsen, ML., 1982. ... Mehra, RK, Heidemann, RA and Aziz, K., 1980a. ...

Research paper thumbnail of The isothermal flash problem. Part I. Stability

Fluid Phase Equilibria, 1982

Fluid Phase Equilibria, 9 (1982) 119 1 Elsevier Scientific Publishing Company, AmsterdamPrinted i... more Fluid Phase Equilibria, 9 (1982) 119 1 Elsevier Scientific Publishing Company, AmsterdamPrinted in The Netherlands THE ISOTHERMAL FLASH PROBLEM. PART I. STABILITY MICHAEL L. MICHELSEN Institultet for Kemiteknik, Danmarks Tekniske Hjskole, Byning 229, 2800 ...

Research paper thumbnail of Impact of Phase Behavior Modeling on In-Situ Combustion Process Performance

SPE Symposium on Improved Oil Recovery, 2008

... MR Kristensen, SPE, Technical University of Denmark; MG Gerritsen, SPE, Stanford University; ... more ... MR Kristensen, SPE, Technical University of Denmark; MG Gerritsen, SPE, Stanford University; PG Thomsen, ML Michelsen and EH Stenby, SPE ... the so-called minimal model, used in STARS and most commercial applications, and the more involved SARA fractions model ...

Research paper thumbnail of Coupling Chemical Kinetics and Flashes in Reactive, Thermal and Compositional Reservoir Simulation

Proceedings of SPE Reservoir Simulation Symposium, 2007

Page 1. SPE 106218 Coupling Chemical Kinetics and Flashes in Reactive, Thermal and Compositional ... more Page 1. SPE 106218 Coupling Chemical Kinetics and Flashes in Reactive, Thermal and Compositional Reservoir Simulation MR Kristensen, SPE, Technical U. of Denmark; MG Gerritsen, SPE, Stanford U.; and PG Thomsen ...

Research paper thumbnail of 1D Simulations for Microbial Enhanced Oil Recovery with Metabolite Partitioning

Transport in Porous Media, 2010

Research paper thumbnail of A Comparative Study of Reduced-Variables-Based Flash and Conventional Flash

SPE Journal, 2013

ABSTRACT Speeding up flash calculation is a central issue in compositional reservoir simulations ... more ABSTRACT Speeding up flash calculation is a central issue in compositional reservoir simulations since phase equilibrium calculation is the most time-consuming part in those simulations. The reduced variables methods, or the reduction methods, reformulate the original phase equilibrium problem with a smaller set of independent variables. Various versions of the reduced variables methods have been proposed since the mid 80's. The methods were first proposed for cubic equations of state (EoS) with zero binary interaction parameters (BIPs) and later generalized to situations with non-zero BIP matrices. Most of the studies in the last decade suggest that the reduced variables methods are much more efficient than the conventional flash method. However, Haugen and Beckner questioned the advantages of the reduced variables methods in their recent paper (SPE 141399). A fair comparison between the reduced variables based flash and the conventional flash is not straightforward since the former is difficult to be formulated as unconstrained minimization and involves more complicated composition derivatives. With the recent formulations by Nichita and Graciaa (2010), it is possible to code the reduced variables methods without extensive modifications of Michelsen's conventional flash algorithm. A minimization based reduced variables algorithm was coded and compared with the conventional minimization based flash. A test using the SPE 3 example showed that the best reduction in time was less than 20% for the extreme situation of 25 components and just one row/column with non-zero BIPs. A better performance can actually be achieved by a simpler implementation directly using the sparsity of the BIP matrix.1. Introduction As a fundamental type of phase equilibrium calculations, flash calculation is widely employed in different simulations, such as chemical process simulations, pipeline simulations, and compositional reservoir simulations. Speed is important for simulating all those processes and particularly crucial to compositional reservoir simulations. Compared with black oil reservoir simulations, equations of state (EoS) based compositional reservoir simulations involve more rigorous but more complicated thermodynamic descriptions, and the time spent on phase equilibrium calculations account for most of the simulation time. Therefore, speeding up the phase equilibrium calculations has always been a key issue in development of compositional reservoir simulators. The phase equilibrium problems in compositional reservoir simulations can be solved either separately or together with the transport equations. The former case corresponds to the classical flash problem, which is solved in two steps for a blind calculation: a stability analysis step to judge whether the feed is stable and if unstable, a phase split step to calculate phase amounts and compositions using the initial estimates from the first step. The latter case also needs stability analysis for single phases but does not have the same phase split calculation since phase equilibrium equations are solved together with the transport equations. Nevertheless, both the phase equilibrium calculation in the latter case and the phase split calculation in the classical flash require an efficient thermodynamic package to provide relevant properties including fugacities and their composition derivatives.

Research paper thumbnail of Phase Envelope Calculations for Hydrocarbon-Water Mixtures

SPE Journal, 2003

ABSTRACT

Research paper thumbnail of Study on the Application of the Tie-Line-Table-Look-Up-Based Methods to Flash Calculations in Compositional Simulations

Research paper thumbnail of On the estimation of water pure compound parameters in association theories

Molecular Physics, 2007

Determination of the appropriate number of association sites and estimation of parameters for ass... more Determination of the appropriate number of association sites and estimation of parameters for association (SAFT-type) theories is not a trivial matter. Building further on a recently published manuscript by Clark et al., this work investigates aspects of the parameter estimation for water using two different association theories. Their performance for various properties as well as against the results presented earlier is demonstrated.