A hierarchical method to integrated solvent and process design of physical CO2 absorption using the SAFT‐γ Mie approach

Molecular-level decisions are increasingly recognized as an integral part of process design. Finding the optimal process performance requires the integrated optimization of process and solvent chemical structure, leading to a challenging mixed-integer nonlinear programming (MINLP) problem. The formulation of such problems when using a group contribution version of the statistical associating fluid theory, SAFT-γ Mie, to predict the physical properties of the relevant mixtures reliably over process conditions is presented. To solve the challenging MINLP, a novel hierarchical methodology for integrated process and solvent design (hierarchical optimization) is presented. Reduced models of the process units are developed and used to generate a set of initial guesses for the MINLP solution. The methodology is applied to the design of a physical absorption process to separate carbon dioxide from methane, using a broad selection of ethers as the molecular design space. The solvents with best process performance are found to be poly(oxymethylene)dimethylethers. © 2015 American Institute of Chemical Engineers AIChE J, 61: 3249–3269, 2015

[1]  G. Mie Zur kinetischen Theorie der einatomigen Körper , 1903 .

[2]  K. Kobe,et al.  Critical Properties and Vapor Pressures of Some Ethers and Heterocyclic Compounds. , 1956 .

[3]  低温,加圧下におけるアセチレンの溶解度に関する研究(第3~4報) (第4報)エーテル類に対するアセチレンの溶解度 , 1960 .

[4]  R. H. Boyd Some physical properties of polyoxymethylene dimethyl ethers , 1961 .

[5]  C. Carvajal,et al.  Studies of Solvation Phenomena of Ions and Ion Pairs in Dimethoxyethane and Tetrahydrofuran , 1965 .

[6]  J. Polák,et al.  Saturated vapour pressures of some ethers , 1969 .

[7]  Arnold Weissberger,et al.  Organic solvents;: Physical properties and methods of purification , 1970 .

[8]  D. Ambrose,et al.  Thermodynamic properties of organic oxygen compounds XLIII. Vapour pressures of some ethers , 1976 .

[9]  J. M. Ryan,et al.  Process improves acid gas separation , 1982 .

[10]  Yoshihiro Saito,et al.  Densities, molar volumes, and cubic expansion coefficients of 78 aliphatic ethers , 1985 .

[11]  James M. Douglas,et al.  A hierarchical decision procedure for process synthesis , 1985 .

[12]  B. Lu,et al.  Isothermal vapour-liquid equilibria for 11 examples of (an ether + a hydrocarbon) , 1986 .

[13]  Ignacio E. Grossmann,et al.  An outer-approximation algorithm for a class of mixed-integer nonlinear programs , 1986, Math. Program..

[14]  Vapor-liquid equilibrium data for the methane-methylal binary mixture between 273 and 432 K up to the critical region , 1987 .

[15]  S. Sandler,et al.  Vapor-liquid equilibria for binary mixtures of butyl ether with 2-furaldehyde and with 2-, 3-, and 4-heptanone , 1988 .

[16]  K. Gubbins,et al.  Phase equilibria of associating fluids : spherical molecules with multiple bonding sites , 1988 .

[17]  B. Linnhoff,et al.  The design of separators in the context of overall processes , 1988 .

[18]  George Jackson,et al.  SAFT: Equation-of-state solution model for associating fluids , 1989 .

[19]  George Jackson,et al.  New reference equation of state for associating liquids , 1990 .

[20]  I. Grossmann,et al.  A combined penalty function and outer-approximation method for MINLP optimization : applications to distillation column design , 1989 .

[21]  Ming-Jer Lee,et al.  Densities and viscosities of 2-butanone/dibutyl ether, 2-picoline/2-butanone, and 2-picoline/water mixtures , 1992 .

[22]  S. Sastri,et al.  A new group contribution method for predicting viscosity of organic liquids , 1992 .

[23]  Alberto Coronas,et al.  Measurement of the vapor pressure of 2,2,2-trifluoroethanol and tetraethylene glycol dimethyl ether by static method , 1995 .

[24]  David A. Fletcher,et al.  The United Kingdom Chemical Database Service , 1996, J. Chem. Inf. Comput. Sci..

[25]  Manfred Morari,et al.  Multiple steady states in distillation : ∞/∞ predictions, extensions, and implications for design, synthesis, and simulation , 1996 .

[26]  M. Morari,et al.  Experimental study of multiple steady states in homogeneous azeotropic distillation , 1997 .

[27]  Costas D. Maranas,et al.  Optimal molecular design under property prediction uncertainty , 1997 .

[28]  George Jackson,et al.  Statistical associating fluid theory for chain molecules with attractive potentials of variable range , 1997 .

[29]  A. Kohl,et al.  Chapter 9 – Liquid Phase Oxidation Processes for Hydrogen Sulfide Removal , 1997 .

[30]  Wolfgang Marquardt,et al.  Experimental Verification of Multiple Steady States in Heterogeneous Azeotropic Distillation , 1997 .

[31]  Thomas E. Güttinger Multiple steady states in azeotropic and reactive distillation , 1998 .

[32]  A. Coronas,et al.  Liquid Densities, Kinematic Viscosities, and Heat Capacities of Some Ethylene Glycol Dimethyl Ethers at Temperatures from 283.15 to 423.15 K , 1998 .

[33]  Efstratios N. Pistikopoulos,et al.  Optimal solvent design for environmental impact minimization , 1998 .

[34]  George Jackson,et al.  THE THERMODYNAMICS OF MIXTURES AND THE CORRESPONDING MIXING RULES IN THE SAFT-VR APPROACH FOR POTENTIALS OF VARIABLE RANGE , 1998 .

[35]  Mahmoud M. El-Halwagi,et al.  Simultaneous synthesis of mass separating agents and interception networks , 1998 .

[36]  Rafiqul Gani,et al.  Design of environmentally benign processes: integration of solvent design and separation process synthesis , 1999 .

[37]  Clare McCabe,et al.  SAFT-VR modelling of the phase equilibrium of long-chain n-alkanes , 1999 .

[38]  Efstratios N. Pistikopoulos,et al.  Optimal design of solvent blends for environmental impact minimization , 1999 .

[39]  Rafiqul Gani,et al.  Computer-aided molecular design with combined molecular modeling and group contribution , 1999 .

[40]  K. Gubbins,et al.  12 Associating fluids and fluid mixtures , 2000 .

[41]  Antonis C. Kokossis,et al.  On the development of novel chemicals using a systematic optimisation approach. Part II. Solvent design , 2000 .

[42]  Antonis C. Kokossis,et al.  On the development of novel chemicals using a systematic synthesis approach. Part I. Optimisation framework , 2000 .

[43]  A. Galindo,et al.  Recent advances in the use of the SAFT approach in describing electrolytes, interfaces, liquid crystals and polymers , 2001 .

[44]  Jorge A. Marrero,et al.  Group-contribution based estimation of pure component properties , 2001 .

[45]  Erich A. Müller,et al.  Molecular-Based Equations of State for Associating Fluids: A Review of SAFT and Related Approaches , 2001 .

[46]  Gabriele Sadowski,et al.  Perturbed-Chain SAFT: An Equation of State Based on a Perturbation Theory for Chain Molecules , 2001 .

[47]  Claire S. Adjiman,et al.  Optimal Solvent Design for Batch Separation Based on Economic Performance , 2003 .

[48]  Venkat Venkatasubramanian,et al.  Chapter 1 - Introduction to CAMD , 2003 .

[49]  X. Gandibleux,et al.  Approximative solution methods for multiobjective combinatorial optimization , 2004 .

[50]  Sten Bay Jørgensen,et al.  A novel framework for simultaneous separation process and product design , 2004 .

[51]  George Jackson,et al.  Modeling the Cloud Curves and the Solubility of Gases in Amorphous and Semicrystalline Polyethylene with the SAFT-VR Approach and Flory Theory of Crystallization , 2004 .

[52]  Rafiqul Gani,et al.  A New Decomposition-Based Computer-Aided Molecular/Mixture Design Methodology for the Design of Optimal Solvents and Solvent Mixtures , 2005 .

[53]  Jiangtao Wu,et al.  Density and Viscosity of Saturated Liquid Dimethoxymethane from (218.15 to 383.15) K , 2005 .

[54]  Rafiqul Gani,et al.  Method for selection of solvents for promotion of organic reactions , 2005, Comput. Chem. Eng..

[55]  Patrick Linke,et al.  Multiobjective molecular design for integrated process‐solvent systems synthesis , 2006 .

[56]  George Jackson,et al.  Phase equilibria of associating fluids , 2006 .

[57]  George Jackson,et al.  A group contribution method for associating chain molecules based on the statistical associating fluid theory (SAFT-gamma). , 2007, The Journal of chemical physics.

[58]  Mahmoud M. El-Halwagi,et al.  Simultaneous process and molecular design—A property based approach , 2007 .

[59]  Jochen Strube,et al.  Design and optimization of a hybrid distillation/melt crystallization process , 2008 .

[60]  Sugata P. Tan,et al.  Recent Advances and Applications of Statistical Associating Fluid Theory , 2008 .

[61]  Rafiqul Gani,et al.  A systematic synthesis framework for extractive distillation processes , 2008 .

[62]  Chonghun Han,et al.  A hierarchical decision procedure for productivity innovation in large-scale petrochemical processes , 2008, Comput. Chem. Eng..

[63]  Claire S. Adjiman,et al.  A generalisation of the SAFT-γ group contribution method for groups comprising multiple spherical segments , 2008 .

[64]  Patrick Linke,et al.  On the systematic design and selection of optimal working fluids for Organic Rankine Cycles , 2010 .

[65]  J. Burger,et al.  Poly(oxymethylene) dimethyl ethers as components of tailored diesel fuel: Properties, synthesis and purification concepts , 2010 .

[66]  Mario R. Eden,et al.  Simultaneous solution of process and molecular design problems using an algebraic approach , 2010, Comput. Chem. Eng..

[67]  Georgios M. Kontogeorgis,et al.  Thermodynamic Models for Industrial Applications , 2010 .

[68]  Clare McCabe,et al.  Chapter 8:SAFT Associating Fluids and Fluid Mixtures , 2010 .

[69]  André Bardow,et al.  Continuous-Molecular Targeting for Integrated Solvent and Process Design , 2010 .

[70]  Claire S. Adjiman,et al.  Integrated solvent and process design using a SAFT-VR thermodynamic description: High-pressure separation of carbon dioxide and methane , 2011, Comput. Chem. Eng..

[71]  Claire S. Adjiman,et al.  Integrated Design of CO2 Capture Processes from Natural Gas , 2011 .

[72]  Claire S. Adjiman,et al.  Simultaneous prediction of vapour-liquid and liquid-liquid equilibria (VLE and LLE) of aqueous mixtures with the SAFT-γ group contribution approach , 2011 .

[73]  C. Adjiman,et al.  Group Contribution Methodologies for the Prediction of Thermodynamic Properties and Phase Behavior in Mixtures , 2011 .

[74]  Masahiro Kato,et al.  Density, viscosity, and solubility of carbon dioxide in glymes , 2011 .

[75]  André Bardow,et al.  Simultaneous process and working fluid optimisation for Organic Rankine Cycles (ORC) using PC-SAFT , 2012 .

[76]  J. Burger,et al.  Chemical Equilibrium and Reaction Kinetics of the Heterogeneously Catalyzed Formation of Poly(oxymethylene) Dimethyl Ethers from Methylal and Trioxane , 2012 .

[77]  Claire S. Adjiman,et al.  The HELD algorithm for multicomponent, multiphase equilibrium calculations with generic equations of state , 2012, Comput. Chem. Eng..

[78]  Hans Hasse,et al.  Analysis of homogeneous distillation processes , 2012 .

[79]  André Bardow,et al.  An Equation of State Based on PC-SAFT for Physical Solvents Composed of Polyethylene Glycol Dimethylethers , 2013 .

[80]  George Jackson,et al.  Accurate statistical associating fluid theory for chain molecules formed from Mie segments. , 2013, The Journal of chemical physics.

[81]  C. Adjiman,et al.  Computer-aided molecular design of solvents for accelerated reaction kinetics. , 2013, Nature chemistry.

[82]  Jakob Burger,et al.  Multi-objective optimization using reduced models in conceptual design of a fuel additive production process , 2013 .

[83]  Jakob Burger,et al.  Production process for diesel fuel components poly(oxymethylene) dimethyl ethers from methane-based products by hierarchical optimization with varying model depth , 2013 .

[84]  Vasileios Papaioannou A molecular-based group contribution equation of state for the description of fluid phase behaviour and thermodynamic derivative properties of mixtures (SAFT-γ Mie) , 2013 .

[85]  Ali Abbas,et al.  In silico design of solvents for carbon capture with simultaneous optimisation of operating conditions , 2014 .

[86]  George Jackson,et al.  Group contribution methodology based on the statistical associating fluid theory for heteronuclear molecules formed from Mie segments. , 2014, The Journal of chemical physics.

[87]  Claire S. Adjiman,et al.  Molecules Matter: The Expanding Envelope of Process Design , 2014 .

[88]  C. Adjiman,et al.  On the optimal design of gas-expanded liquids based on process performance , 2014 .

[89]  F. Perdomo,et al.  Design and improvement of biodiesel fuels blends by optimization of their molecular structures and compositions , 2014 .

[90]  Claire S. Adjiman,et al.  Prediction of Thermodynamic Properties and Phase Behavior of Fluids and Mixtures with the SAFT-γ Mie Group-Contribution Equation of State , 2014 .

[91]  Michael Bortz,et al.  Multi-criteria optimization in chemical process design and decision support by navigation on Pareto sets , 2014, Comput. Chem. Eng..

[92]  André Bardow,et al.  Simultaneous Optimization of Working Fluid and Process for Organic Rankine Cycles Using PC-SAFT , 2014 .

[93]  Metin Türkay,et al.  ϵ-OA for the solution of bi-objective generalized disjunctive programming problems in the synthesis of nonlinear process networks , 2015, Comput. Chem. Eng..