Predicting solubility of CO2 in brine by advanced machine learning systems: Application to carbon capture and sequestration

Abstract Carbon dioxide (CO2) capture and sequestration in saline aquifers have turned into a key focus as it becomes an effective way to reduce CO2 in the atmosphere. The solubility of CO2 in brine is of vital role in monitoring CO2 sequestration. In this study, based on molality of NaCl, pressure and temperature, modeling of CO2 solubility in brine has been carried out utilizing multilayer perceptron (MLP) and radial basis function neural network (RBFNN). Levenberg-Marquardt (LM) algorithm was implemented to optimize the MLP model, while genetic algorithm (GA), particle swarm optimization (PSO) and artificial bee colony (ABC), were applied to optimize the RBFNN model. To this end, a widespread experimental databank including 570 data sets gathered from literature was considered to implement the proposed models. Graphical and statistical assessment criteria were considered to investigate the performances of these models. The obtained results revealed that all the proposed techniques are in excellent correspondence with experimental data. In addition, the performance analyses showed that RBFNN-ABC model exhibits the higher accuracy in the prediction of CO2 solubility in brine compared with the other proposed smart approaches and the existing well-known models. The RBFNN-ABC model yields a root mean square error (RMSE) value of 0.0289 and an R2 of 0.9967. Finally, the RBFNN-ABC model validity was confirmed and a small number of probable doubtful data was detected.

[1]  Dervis Karaboga,et al.  AN IDEA BASED ON HONEY BEE SWARM FOR NUMERICAL OPTIMIZATION , 2005 .

[2]  Colin R. Goodall,et al.  13 Computation using the QR decomposition , 1993, Computational Statistics.

[3]  Shahaboddin Shamshirband,et al.  Rigorous prognostication of natural gas viscosity: Smart modeling and comparative study , 2018, Fuel.

[4]  Amir Varamesh,et al.  On the evaluation of the viscosity of nanofluid systems: Modeling and data assessment , 2018 .

[5]  H. Sørensen,et al.  Modeling of gas solubility in brine , 2002 .

[6]  Amir H. Mohammadi,et al.  On the evaluation of asphaltene precipitation titration data: Modeling and data assessment , 2016 .

[7]  Dervis Karaboga,et al.  A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm , 2007, J. Glob. Optim..

[8]  David Coley,et al.  Introduction to Genetic Algorithms for Scientists and Engineers , 1999 .

[9]  S. N. Sivanandam,et al.  Introduction to genetic algorithms , 2007 .

[10]  A. Abedini,et al.  Phase Behaviour of CO2–Brine and CO2–Oil Systems for CO2 Storage and Enhanced Oil Recovery: Experimental Studies , 2014 .

[11]  Mohamad Reza Soltanian,et al.  Influence of Small Scale Heterogeneity on CO2 Trapping Processes in Deep Saline Aquifers , 2014 .

[12]  Masahiro Nishio,et al.  Solubility of CO2 in aqueous solutions of NaCl at (30 to 60) °C and (10 to 20) MPa , 2003 .

[13]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[14]  Alireza Bahadori,et al.  Implementing radial basis function networks for modeling CO2-reservoir oil minimum miscibility pressure , 2013 .

[15]  D. Barletta,et al.  Experimental Measurements and Thermodynamic Modeling of CO2 Solubility at High Pressure in Model Apple Juices , 2010 .

[16]  S. Takenouchi,et al.  The solubility of carbon dioxide in nacl solutions at high temperatures and pressures , 1965 .

[17]  A. Olajire.  Recent progress on the nanoparticles-assisted greenhouse carbon dioxide conversion processes , 2018 .

[18]  H. Hassanzadeh,et al.  The role of natural fractures of finite double-porosity aquifers on diffusive leakage of brine during geological storage of CO2 , 2018, International Journal of Greenhouse Gas Control.

[19]  Kheireddine Redouane,et al.  Optimization of WAG Process Using Dynamic Proxy, Genetic Algorithm and Ant Colony Optimization , 2018 .

[20]  Zheng Niu,et al.  Evolving neural network using real coded genetic algorithm (GA) for multispectral image classification , 2004, Future Gener. Comput. Syst..

[21]  R. E. Peterson,et al.  Solubility of carbon dioxide, krypton, and xenon in lipids. , 1963, Journal of pharmaceutical sciences.

[22]  Xiaofei Fu,et al.  Impacts of CO2-brine-rock interaction on sealing efficiency of sand caprock: A case study of Shihezi formation in Ordos basin , 2018, Advances in Geo-Energy Research.

[23]  Nasrullah Khan,et al.  Carbon conundrum, climate change, CO2 capture and consumptions , 2014 .

[24]  Melanie Mitchell,et al.  An introduction to genetic algorithms , 1996 .

[25]  T. Guo,et al.  Extension of the Patel—Teja equation of state to the prediction of the solubility of natural gas in formation water , 1991 .

[26]  Lian Zhang,et al.  Artificial neural networks with response surface methodology for optimization of selective CO2 hydrogenation using K-promoted iron catalyst in a microchannel reactor , 2018 .

[27]  J. Coxam,et al.  Enthalpy and solubility data of CO2 in water and NaCl(aq) at conditions of interest for geological sequestration , 2006 .

[28]  B. Rumpf,et al.  Solubility of carbon dioxide in aqueous solutions of sodium chloride: Experimental results and correlation , 1994 .

[29]  Kheireddine Redouane,et al.  Automated Optimization of Well Placement via Adaptive Space-Filling Surrogate Modelling and Evolutionary Algorithm , 2018, Day 2 Tue, November 13, 2018.

[30]  Vishwesh Venkatraman,et al.  Predicting CO2 capture of ionic liquids using machine learning , 2017 .

[31]  Dehui Zhang,et al.  An improved model for calculating CO2 solubility in aqueous NaCl solutions and the application to CO2–H2O–NaCl fluid inclusions , 2013 .

[32]  Zhenhao Duan,et al.  An improved model for the calculation of CO2 solubility in aqueous solutions containing Na+, K+, Ca2+, Mg2+, Cl−, and SO42− , 2006 .

[33]  B. Han,et al.  Solubility of CO2 in aqueous solutions of NaCl, KCl, CaCl2 and their mixed salts at different temperatures and pressures , 2011 .

[34]  H. Singh.  Impact of four different CO2 injection schemes on extent of reservoir pressure and saturation , 2018, Advances in Geo-Energy Research.

[35]  Susan D. Hovorka,et al.  Simulating the Cranfield geological carbon sequestration project with high-resolution static models and an accurate equation of state. , 2016 .

[36]  Shigeharu Kito,et al.  SALTING-OUT PARAMETERS OF GAS SOLUBILITY IN AQUEOUS SALT SOLUTIONS , 1970 .

[37]  Timothy E. Fout,et al.  Advances in CO2 capture technology—The U.S. Department of Energy's Carbon Sequestration Program ☆ , 2008 .

[38]  David E. Goldberg,et al.  Genetic algorithms and Machine Learning , 1988, Machine Learning.

[39]  M. N. Amar,et al.  Application of hybrid support vector regression artificial bee colony for prediction of MMP in CO2-EOR process , 2018 .

[40]  Qingchun Yu,et al.  Modeling and measurement of CO2 solubility in salty aqueous solutions and application in the Erdos Basin , 2014 .

[41]  Kheireddine Redouane,et al.  Bottom hole pressure estimation using hybridization neural networks and grey wolves optimization , 2018, Petroleum.

[42]  Shahaboddin Shamshirband,et al.  Toward generalized models for estimating molecular weights and acentric factors of pure chemical compounds , 2018 .

[43]  S. Lvov,et al.  Measurement and modeling of CO₂ solubility in natural and synthetic formation brines for CO₂ sequestration. , 2015, Environmental science & technology.

[44]  M. Asadullah,et al.  Measurement of CO2 Solubility in NaCl Brine Solutions at Different Temperatures and Pressures Using the Potentiometric Titration Method , 2015 .

[45]  A. J. Ellis,et al.  The solubility of carbon dioxide above 100 degrees C in water and in sodium chloride solutions , 1963 .

[46]  Adel M. Elsharkawy.  Modeling the Properties of Crude Oil and Gas Systems Using RBF Network , 1998 .

[47]  L. Nghiem,et al.  Phase equilibria of oil, gas and water/brine mixtures from a cubic equation of state and henry's law , 1986 .

[48]  Sven Horstmann,et al.  Experimental determination and prediction of gas solubility data for CO2 + H2O mixtures containing NaCl or KCl at temperatures between 313 and 393 K and pressures up to 10 MPa , 2002 .

[49]  H. Hassanzadeh,et al.  Diffusive leakage of brine from aquifers during CO 2 geological storage , 2018 .

[50]  Peter J. Rousseeuw,et al.  Robust regression and outlier detection , 1987 .

[51]  Fumitake Yoshida,et al.  Solubility of carbon dioxide in aqueous electrolyte solutions , 1979 .

[52]  Shahaboddin Shamshirband,et al.  Modeling temperature-based oil-water relative permeability by integrating advanced intelligent models with grey wolf optimization: Application to thermal enhanced oil recovery processes , 2019, Fuel.

[53]  J. Morse,et al.  The carbonic acid system and calcite solubility in aqueous Na-K-Ca-Mg-Cl-SO4 solutions from 0 to 90°C , 1993 .

[54]  David A. Wood,et al.  A transparent Open-Box learning network provides insight to complex systems and a performance benchmark for more-opaque machine learning algorithms , 2018 .

[55]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[56]  Mohamad Reza Soltanian,et al.  Influence of small‐scale fluvial architecture on CO2 trapping processes in deep brine reservoirs , 2014, 1407.0369.

[57]  A. Bahadori,et al.  New correlations predict aqueous solubility and density of carbon dioxide , 2009 .

[58]  Christopher A. Rochelle,et al.  Modelling CO2 solubility in pure water and NaCl-type waters from 0 to 300 °C and from 1 to 300 bar: Application to the Utsira Formation at Sleipner , 2005 .

[59]  Simon Haykin,et al.  Neural Networks and Learning Machines , 2010 .

[60]  Shahaboddin Shamshirband,et al.  Modeling interfacial tension in N2/n-alkane systems using corresponding state theory: Application to gas injection processes , 2018, Fuel.

[61]  S. Ayatollahi,et al.  Accurate determination of the CO2‐crude oil minimum miscibility pressure of pure and impure CO2 streams: A robust modelling approach , 2016 .

[62]  A. Findlay,et al.  LXXI.—The influence of colloids and fine suspensions on the solubility of gases in water. Part III. Solubility of carbon dioxide at pressures lower than atmospheric , 1913 .

[63]  Nicolas Kalogerakis,et al.  Solubilities of carbon dioxide in water and 1 wt. % sodium chloride solution at pressures up to 10 MPa and temperatures from 80 to 200.degree.C , 1989 .

[64]  Shengli Huang,et al.  Measurement and modeling of CO2 solubility in NaCl brine and CO2–saturated NaCl brine density , 2011 .