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Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

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Page 1: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3
Page 2: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3
Page 3: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

Carbon Dioxide Capture and Acid Gas Injection

Page 4: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

Scrivener Publishing100 Cummings Center, Suite 541J

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Page 5: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

Carbon Dioxide Capture and Acid Gas Injection

Edited by

Ying Wu, John J. Carroll and Weiyao Zhu

Page 6: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

This edition first published 2017 by John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, USA and Scrivener Publishing LLC, 100 Cummings Center, Suite 541J, Beverly, MA 01915, USA© 2017 Scrivener Publishing LLCFor more information about Scrivener publications please visit www.scrivenerpublishing.com.

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Library of Congress Cataloging-in-Publication DataISBN 978-1-118-93866-9

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Page 7: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

v

Contents

Preface xiii

1 Enthalpies of Carbon Dioxide-Methane and Carbon Dioxide-Nitrogen Mixtures: Comparison with Thermodynamic Models 1Erin L. Roberts and John J. Carroll1.1 Introduction 11.2 Enthalpy 21.3 Literature Review 2

1.3.1 Carbon Dioxide-Methane 41.3.2 Carbon Dioxide-Nitrogen 4

1.4 Calculations 51.4.1 Benedict-Webb-Rubin 61.4.2 Lee-Kesler 121.4.3 Soave-Redlich-Kwong 171.4.4 Peng-Robinson 231.4.5 AQUAlibrium 28

1.5 Discussion 331.6 Conclusion 36References 37

2 Enthalpies of Hydrogen Sulfide-Methane Mixture: Comparison with Thermodynamic Models 39Erin L. Roberts and John J. Carroll2.1 Introduction 392.2 Enthalpy 402.3 Literature Review 402.4 Calculations 41

2.4.1 Lee-Kesler 412.4.2 Benedict-Webb-Rubin 432.4.3 Soave-Redlich-Kwong 43

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vi Contents

2.4.4 Redlich-Kwong 472.4.5 Peng-Robinson 472.4.6 AQUAlibrium 50

2.5 Discussion 502.6 Conclusion 52References 54

3 Phase Behavior and Reaction Thermodynamics Involving Dense-Phase CO2 Impurities 55J.A. Commodore, C.E. Deering and R.A. Marriott3.1 Introduction 553.2 Experimental 573.3 Results and Discussion 58

3.3.1 Phase Behavior Studies of SO2 Dissolved in Dense CO2 Fluid 58

3.3.2 The Densimetric Properties of CS2 and CO2 Mixtures 60

References 61

4 Sulfur Recovery in High Density CO2 Fluid 63S. Lee and R.A. Marriott4.1 Introduction 644.2 Literature Review 644.3 Methodology 654.4 Results and Discussion 664.5 Conclusion and Future Directions 67References 68

5 Carbon Capture Performance of Seven Novel Immidazolium and Pyridinium Based Ionic Liquids 71Mohamed Zoubeik, Mohanned Mohamedali and Amr Henni5.1 Introduction 715.2 Experimental Work 73

5.2.1 Materials 735.2.2 Density Measurement 735.2.3 Solubility Measurement 73

5.3 Modeling 765.3.1 Calculation of Henry’s Law Constants 765.3.2 Critical Properties Calculations 765.3.3 Peng Robinson EoS 76

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Contents vii

5.4 Results and Discussion 775.4.1 Density 775.4.2 Critical Properties 775.4.3 CO2 Solubility 785.4.4 The Effect of Changing the Cation 815.4.5 The Effect of Changing the Anion 845.4.6 Henry’s Law Constant, Enthalpy and Entropy

Calculations 855.4.7 Thermodynamic Modeling of CO2 Solubility 86

5.5 Conclusion 87Acknowledgements 88References 88

6 Vitrisol a 100% Selective Process for H2S Removal in the Presence of CO2 91W.N. Wermink, N. Ramachandran, and G.F. Versteeg6.1 Introduction 926.2 Case Definition 946.3 “Amine-Treated” Cases by PPS 95

6.3.1 Introduction to PPS 956.3.2 Process Description 966.3.3 PFD 976.3.4 Results 97

6.3.4.1 Case 1 976.3.4.2 Case 2 97

6.4 Vitrisol Process Extended with Regeneration of Active Component 996.4.1 Technology Description 996.4.2 Parameters Determining the Process Boundary

Conditions 996.4.3 Absorption Section 1016.4.4 Regeneration Section 1026.4.5 Sulphur Recovery Section 1046.4.6 CO2-Absorber 1056.4.7 PFD 105

6.5 Results 1056.6 Discussion 110

6.6.1 Comparison of Amine Treating Solutions to Vitrisol

6.6.2 Enhanced H2S Removal of Barnett Shale Gas (case 2) 112

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viii Contents

6.7 Conclusions 1136.8 Notation 115References 115Appendix 6-A: H&M Balance of Case 1 (British

Columbia shale) of the Amine Process 117Appendix 6-B H&M Balance of Case 2a (Barnett shale)

of the Amine Process with Stripper Promoter 119Appendix 6-C H&M Balance of Case 3 (Barnett shale)

of the Amine Process (MEA) 121Appendix 6-D: H&M Balance of Case 1 (British

Columbia shale) of the Vitrisol process 123Appendix 6-E H&M Balance of Case 2 (Barnett shale)

of the Vitrisol Process 125

7 New Amine Based Solvents for Acid Gas Removal 127Yohann Coulier, Elise El Ahmar, Jean-Yves Coxam, Elise Provost, Didier Dalmazzone, Patrice Paricaud, Christophe Coquelet and Karine Ballerat-Busserolles7.1 Introduction 1287.2 Chemicals and Materials 1317.3 Liquid-Liquid Equilibria 131

7.3.1 LLE in {methylpiperidines – H2O} and {methylpiperidines – H2O – CO2} 131

7.3.2 Liquid-Liquid Equilibria of Ternary Systems {Amine – H2O – Glycol} 135

7.3.3 Liquid-Liquid Equilibria of the Quaternary Systems {CO2 – NMPD – TEG – H2O} 136

7.4 Densities and Heat Capacities of Ternary Systems {NMPD – H2O – Glycol} 1377.4.1 Densities 1377.4.2 Specific Heat Capacities 137

7.5 Vapor-Liquid Equilibria of Ternary Systems {NMPD – TEG – H2O – CO2} 139

7.6 Enthalpies of Solution 1407.7 Discussion and Conclusion 143Acknowledgments 143References 144

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Contents ix

8 Improved Solvents for CO2 Capture by Molecular Simulation Methodology 147William R. Smith8.1 Introduction 1478.2 Physical and Chemical Models 1498.3 Molecular-Level Models and Algorithms for

Thermodynamic Property Predictions 1508.4 Molecular-Level Models and Methodology for

MEA–H2O–CO2 1538.4.1 Extensions to Other Alkanolamine Solvents

and Their Mixtures 155Acknowledgements 157References 157

9 Strategies for Minimizing Hydrocarbon Contamination in Amine Acid Gas for Reinjection 161Mike Sheilan, Ben Spooner and David Engel9.1 Introduction 1629.2 Amine Sweetening Process 1629.3 Hydrocarbons in Amine 1649.4 Effect of Hydrocarbons on the Acid Gas

Reinjection System 1669.5 Effect of Hydrocarbons on the Amine Plant 1679.6 Minimizing Hydrocarbon Content in Amine Acid Gas 171

9.6.1 Option 1. Optimization of the Amine Plant Operation 171

9.6.2 Option 2. Amine Flash Tanks 1769.6.3 Option 3. Rich Amine Liquid Coalescers 1789.6.4 Option 4. Use of Skimming Devices 1809.6.5 Option 5. Technological Solutions 182

References 183

10 Modeling of Transient Pressure Response for CO2 Flooding Process by Incorporating Convection and Diffusion Driven Mass Transfer 185Jianli Li and Gang Zhao10.1 Introduction 18610.2 Model Development 187

10.2.1 Pressure Diffusion 187 10.2.2 Mass Transfer 188 10.2.3 Solutions 190

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x Contents

10.3 Results and Discussion 191 10.3.1 Flow Regimes 191 10.3.2 Effect of Mass Transfer 192 10.3.3 Sensitivity Analysis 195

10.3.3.1 CO2 Bank 195 10.3.3.2 Reservoir Outer Boundary 196

10.4 Conclusions 196Acknowledgments 197References 197

11 Well Modeling Aspects of CO2 Sequestration 199Liaqat Ali and Russell E. Bentley 11.1 Introduction 199 11.2 Delivery Conditions 200 11.3 Reservoir and Completion Data 201 11.4 Inflow Performance Relationship (IPR) and

Injectivity Index 201 11.5 Equation of State (EOS) 202 11.6 Vertical Flow Performance (VFP) Curves 205 11.7 Impact of the Well Deviation on CO2 Injection 208 11.8 Implication of Bottom Hole Temperature (BHT)

on Reservoir 209 11.9 Impact of CO2 Phase Change 21311.10 Injection Rates, Facility Design Constraints and

Number of Wells Required 21411.11 Wellhead Temperature Effect on VFP Curves 21411.12 Effect of Impurities in CO2 on VFP Curves 21611.13 Concluding Remarks 217Conversion Factors 218References 218

12 Effects of Acid Gas Reinjection on Enhanced Natural Gas Recovery and Carbon Dioxide Geological Storage: Investigation of the Right Bank of the Amu Darya River 221Qi Li, Xiaying Li, Zhiyong Niu, Dongqin Kuang, Jianli Ma, Xuehao Liu, Yankun Sun and Xiaochun Li12.1 Introduction 22212.2 The Amu Darya Right Bank Gas Reservoirs

in Turkmenistan 223

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Contents xi

12.3 Model Development 223 12.3.1 State equation 224

12.3.1.1 Introduction of Traditional PR State Equation 224

12.3.1.2 Modifications for the Vapor-Aqueous System 224

12.3.2 Salinity 225 12.3.3 Diffusion 226

12.3.3.1 Diffusion Coefficients 226 12.3.3.2 The Cross-Phase Diffusion

Coefficients 22612.4 Simulation Model 227

12.4.1 Model Parameters 227 12.4.2 Grid-Sensitive Research of the Model 227 12.4.3 The Development and Exploitation Mode 230

12.5 Results and Discussion 230 12.5.1 Reservoir Pressure 230 12.5.2 Gas Sequestration 232 12.5.3 Production 235 12.5.4 Recovery Ratio and Recovery Percentage 238

12.6 Conclusions 23912.7 Acknowledgments 240References 241

Index 245

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Page 15: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

Preface

The Sixth International Acid Gas Injection Symposium (AGIS VI) was held in Houston, Texas, in September 2016. As with previous Symposia, the focus of AGIS VI was the injection of acid gas (CO2, H2S, and mixtures of these components) for the purposes of disposal or for enhanced oil and/or gas recovery. This book contains select papers from the Symposium in Houston.

The capture of carbon dioxide from flue gas and its disposal into a sub-surface geological formation remains a viable option for the clean use of hydrocarbon fuels. The related technology is acid gas injection. Here the H2S and CO2 are removed from raw natural gas. This volume contains papers directly related to these two topics ranging from the physical prop-erties of the gas mixtures, evaluation of new and existing solvents, and subsurface engineering aspects of the process. Furthermore, contributors came from Canada, Europe, and China, as well as from the host country, the United States. And this is reflected in the papers in this volume.

On a very sad note, Marco Satyro passed away on September 8, 2016, just prior to the Symposium. Marco was a good friend of AGIS being an active member of the Technical Committee for many years. He contributed many papers and encouraged many others to participate. At the first AGIS he presented the paper “The Performance of State of the Art Industrial Thermodynamic Models for the Correlation and Prediction of Acid Gas Solubility in Water” and this paper appeared in the first volume of the Advances in Natural Gas Engineering. He also was the coauthor of several other contributions to the Series and they are listed below. This volume is dedicated to the memory of Dr. Satyro.

References – papers of M.A. Satyro from the Advances in Natural Gas Engineering series. M.A. Satyro, and J. van der Lee, “The Performance of State of the Art Industrial

Thermodynamic Models for the Correlation and Prediction of Acid Gas Solubility in Water”, pp. 21–34, Acid Gas Injection and Related Technologies, Y. Wu and J.J. Carroll (eds.), Scrivener Publishing (2011).

xiii

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xiv Preface

H. Motahhari, M.A. Satyro, and H.W. Yarranton, “Acid Gas Viscosity Modeling with the Expanded Fluid Viscosity Correlation”, pp. 41–52, Carbon Dioxide Sequestration and Related Technologies, (2011), Y. Wu, J.J. Carroll, and Z. Du (eds.), Scrivener Publishing (2011).

J. van der Lee, J.J. Carroll, and M.A. Satyro, “A Look at Solid CO2 Formation in Several High CO2 Concentration Depressuring Scenarios”, pp. 117–128, Sour Gas and Related Technologies, Y. Wu, J.J. Carroll, and W. Zhu (eds), Scrivener Publishing (2012).

M.A. Satyro, and J.J. Carroll, “Phase Equilibrium in the Systems Hydrogen Sulfide + Methanol and Carbon Dioxide + Methanol”, pp. 99–109, Gas Injection for Disposal and Enhanced Recovery, Y. Wu, J.J. Carroll, and Q. Li (eds.), Scrivener Publishing (2014).

A.R.J. Arendsen, G.F. Versteeg, J. van der Lee,R. Cota, and M.A. Satyro, “Comparison of the Design of CO2-capture Processes using Equilibrium and Rate Based Models”, pp. 155–174, Gas Injection for Disposal and Enhanced Recovery, Y. Wu, J.J. Carroll, and Q. Li (eds.), Scrivener Publishing (2014).

M.A. Satyro and H.W. Yarranton, “A Simple Model for the Calculation of Electrolyte Mixture Viscosities”, pp. 95–104, Acid Gas Extraction for Disposal and Related Topics, Y. Wu, J.J. Carroll, and W. Zhu (eds.), Scrivener Publishing (2016).

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1

Ying Wu, John J. Carroll and Weiyao Zhu (eds.) CO2 Capture and Acid Gas Injection, (1–38) 2017 © Scrivener Publishing LLC

1

Enthalpies of Carbon Dioxide-Methane and Carbon Dioxide-Nitrogen Mixtures:

Comparison with Thermodynamic ModelsErin L. Roberts and John J. Carroll

Gas Liquids Engineering, Calgary, Alberta, Canada

AbstractThe physical properties of acid-gas injection streams are important for use in design considerations of the acid-gas scheme. One such property is the enthalpy of the stream. As carbon dioxide is rarely pure, with methane and nitrogen being common impurities in the stream, the effect of these impurities on the enthalpy is also important to consider.

This study compares experimentally determined excess enthalpies and enthalpy departures from literature to the enthalpy predictions of five different models, Benedict-Webb-Rubin, Lee-Kesler, Soave-Redlich-Kwong, and Peng-Robinson from VMGSim, as well as AQUAlibrium software. The mixtures studied are car-bon dioxide-methane, as well as carbon dioxide- nitrogen mixtures at a wide range of compositions.

The Soave-Redlich-Kwong model gave the most accurate predictions for both  the excess enthalpies and enthalpy departures, with Lee-Kesler frequently giving the least accurate predictions for the mixtures.

1.1 Introduction

An increase in demand of natural gas has led producers to pursue poorer quality reservoirs. These contain higher levels of carbon dioxide that then must be responsibly disposed. Regulations prevent the flaring of the acid-gas mixtures, therefore requiring an alternate means of disposal. One such method is the injection of acid gas into subsurface reservoirs.

Page 18: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

2 Carbon Dioxide Capture and Acid Gas Injection

An understanding of the physical properties of the stream is essential in the design of the acid-gas injection scheme. The enthalpy of the stream is required in the design of the compressor for injection. Common impurities in the carbon dioxide include methane and nitrogen; therefore the effect of these impurities on the enthalpy of carbon dioxide is required for design.

This paper investigates the accuracy of five different thermodynamic models for predicting such mixtures. Four different equations of state, Benedict-Webb-Rubin (BWR), Lee-Kesler (LK), Soave-Redlich-Kwong (SRK), Peng-Robinson (1978) were used with VMGSim software, as well as the AQUAlibrium model. BWR and LK are multi-constant equations, and SRK and PR78 are cubic equations of state. The AQUAlibrium model uses a variation of Peng-Robinson.

1.2 Enthalpy

The enthalpy of mixtures can be determined in a number of ways. One method is to use excess enthalpy (enthalpy of mixing). Excess enthalpy is defined as

H H x HE

m i ii

(1.1)

where: HE – Excess enthalpy Hm – Enthalpy of mixture Hi – Enthalpy of component i xi – mol fraction of component iAlternatively, the enthalpy of the mixture can be represented as an

enthalpy departure, a difference between the enthalpy at a given pressure, and the enthalpy at a reference pressure while keeping the temperature constant.

Enthalpies can be expressed in J/mol, or for greater relevance to acid-gas injection design, can be expressed in HP/MMSCFD. The conversion between units is 1 HP/MMSCFD to 53.86 J/mol.

1.3 Literature Review

A review of literature was performed to compile experimental data for the enthalpy of carbon dioxide-methane mixtures as well as carbon dioxide-nitrogen mixtures. Table 1.1 summarizes the relevant data used in this study.

Page 19: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

Tab

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Imp

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Enthalpies of Carbon Dioxide-Methane

Page 20: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

4 CARBONDIOXIDECAPTUREANDACIDGAS INJECTION

1.3.1 CarbonDioxide-Methane

The most extensive study performedfor enthalpies of carbon dioxide­methane mixtures was performedby Lee & Mather(1972). Their studyconsisted of mol fractions of 0.1-0.9, taken at intervals of 0.1, for atotal of 9 different mol fractions. Measurementsof excess enthalpywerereportedat 8 different temperatures from10-80 °C, with ranges of pres­sure of 1.0-4.4 MPafor 10°C, 1.0- 5.07 for 20 °C, 1.0-11.1 for 40°C, and1.0-10.1 for 32 °C,50°C, 60 °C, 70°C, and80 °C. In total,648 datapointswere reported.Two typographicalerrorswere found in the dataset; theyare not included in the numerical error analysis but are represented inthe figures.

Anothersmaller studywas performedby Barryet ale (1982), for excessenthalpies of carbon dioxide-methanemixtures. Datawas taken at threedifferent temperatures,20°C, 32 °C, and 40°C. Seven differentpressureswere used, rangingfrom 0.51 MPato 4.6 MPa,with pressureofover 2MPaonlybeingmeasuredfor 40°C. The mol fractionsmeasuredwere nottakenin increments, instead were taken at a wide variety of fractions rangingfrom 0.1 to 0.9.

Two other studies were done using enthalpy departures by Ng &Mather(1976) and Peterson& Wilson (1974). Ng & Mather(1976) usedpressures of 3-13.7 MPa, and temperaturesof 0-90 °C for mol fractionsof 0.145 and 0.423. They used the ideal gas enthalpyas a reference pointto measure the enthalpydeparture.Peterson& Wilson (1974) only mea­sured equimolarmixtures of carbondioxide and methanewith pressuresfrom 0.7-13.8 MPa and temperaturesof 255.4 K-422 K. The referenceenthalpyused was measuredat apressure of 0.138 MPa. These twostud­ies were the only ones that measured both liquid and vapor enthalpies,insteadofjust vapor.

1.3.2 CarbonDioxide-Nitrogen

Lee & Mather(1970) and Hejmadiet ale (1971) studiedthe excess enthal­pies of carbondioxide-nitrogenmixtures. Lee & Mather(1970) looked atmole fractionsfrom 0.1-0.9 at intervalsof0.1. Pressuresfrom 1.01 MPato12.16 MPawere used, atonly a single temperatureof40°C.

Hejmadiet ale (1971) used onlytwo differenttemperaturesof31°C and40 °C, andtwo differentpressuresof3.5 MPaand6.5 MPa. Theyused molefractionofnitrogenfrom 0.2-0.7.

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Enthalpies of Carbon Dioxide-Methane 5

1.4 Calculations

The experimental enthalpies were compared to calculated enthalpies using BWR, LK, SRK, and PR78 thermodynamic models from VMGSim soft-ware, as well as using AQUAlibrium software.

The six different mixtures (four with methane, two with nitrogen) as summarized in Table 1.1 were evaluated. Four error functions for both the excess enthalpies and the enthalpy departures were used to analyze the accuracy of the prediction of each method.

For the excess enthalpies, the absolute average difference (AAD) was defined as;

AAD

1exp calcNP

H HE E

(1.2)

where: NP – number of points HE

exp – experimental excess enthalpy HE

calc – calculated excess enthalpyand the average difference (AD) was defined as:

AD

1exp calcNP

H HE E

(1.3)

The absolute average error (AAE) in excess enthalpies was defined as:

AAE calc

calc

1100

NP

H H

H

E E

Eexp %

and the average error (AE) was defined as:

AE calc

calc

1100

NPH H

H

E E

Eexp %

(1.5)

For enthalpy departures, the absolute average difference

AAD

1( ) ( )o

expo

calcNPH H H H

(1.6)

(1.4)

Page 22: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

6 Carbon Dioxide Capture and Acid Gas Injection

where H° – enthalpy of mixture at reference pressure H – enthalpy of mixture at measured pressureand the average difference was defined as:

AD

1( ) ( )o

expo

calcNPH H H H

(1.7)

The absolute average error for enthalpy departure was defined as:

AAE

1 ( ) ( )

( )100%

oexp

ocalc

ocalcNP

H H H H

H H (1.8)

and the average error was defined as:

AE

1 ( ) ( )

( )100%

oexp

ocalc

ocalcNP

H H H H

H H (1.9)

1.4.1 Benedict-Webb-Rubin

For the Lee & Mather (1972) methane data of excess enthalpies, the AAD was 78.1 J/mol and the AD was 2.6 J/mol. The AAE was 19.0% and the

at 8.11 MPa and a mole fraction of 0.2. The maximum error was 131.7% at the same conditions as the maximum difference. At lower pressures, the enthalpies were overestimated, and at the higher pressures they were underestimated. The greatest deviations occurred when there was a rapid change in enthalpy with pressure. This occurred at around 7–10 MPa for

between the calculated and experimental enthalpy for the 10.13 MPa iso-bar at 50 °C. Figures 1.1 through 1.8 show the experimental and calculated enthalpies for the different temperatures.

The Barry et al. (1982) methane data of excess enthalpies had an AAD

0.63 mole fraction methane The deviations are smaller due to the lower pressure range of the data.

The Lee & Mather (1970) nitrogen data of excess enthalpies taken at

AE was -14.6%. The maximum difference was 2113.2 Jlmol occurring

the 32°C and 40 °C temperatures.There was also avery large difference

of9.1 Jlmol, an AD of-8.3 Jlmol, an AAEof 14.2% and an AEof-11.0%.The maximumdifference was 46.5Jlmol at 4.6 MPa,40°C and0.351 molefractionmethane.The maximumerrorwas 42.5% at 0.53 MPa,32°C and

40°C had similar results as the Lee& Mather(1972) methane data forthe 40 °C data,with the greatest difference occurring at 9.12 MPa. The

Page 23: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

Enthalpies of Carbon Dioxide-Methane 7

Figure 1.1 Experimental and calculated enthalpies at 10 °C using BWR (Lee & Mather, 1972).

Mol fraction methane

Exce

ss e

ntha

lpy

(J/m

ol)

0 0.2 0.4 0.6 0.8 10

100

200

300

400

500

600

1.01 MPa2.03 MPa3.04 MPa4.05 MPa4.36 MPa

1.01

2.03

3.04

4.05

4.36

Figure 1.2 Experimental and calculated enthalpies at 20 °C using BWR (Lee & Mather, 1972).

Mol fraction methane (J/mol)

Exce

ss e

ntha

lpy

(J/m

ol)

0 0.2 0.4 0.6 0.8 10

100

200

300

400

500

600

700

1.01 MPa2.02 MPa3.04 MPa4.05 MPa5.07 MPa

1.01

2.03

3.04

4.05

5.07

Page 24: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

8 Carbon Dioxide Capture and Acid Gas Injection

Figure 1.3 Experimental and calculated enthalpies at 32 °C using BWR (Lee & Mather, 1972).

10.1

9.12

8.61

8.11

7.09

6.085.07 4.05

3.02.0 1.01

Mol fraction methane

Exce

ss e

ntha

lpy

(J/m

ol)

0 0.2 0.4 0.6 0.8 10

500

1,000

1,500

2,000

2,500

3,000

3,500

4,000

4,500

1.01 MPa2.02 MPa3.04 MPa4.05 MPa5.07 MPa6.08 MPa7.09 MPa8.11 MPa8.61 MPa9.12 MPa10.13 MPa

Figure 1.4 1972).

Mol fraction methane

Exce

ss e

ntha

lpy

(J/m

ol)

0 0.2 0.4 0.6 0.8 10

500

1,000

1,500

2,000

2,500

3,000

3,500

1.01 MPa2.02 MPa3.04 MPa4.05 MPa5.07 MPa6.08 MPa7.09 MPa8.11 MPa9.12 MPa10.13 MPa11.15 MPa

11.15

10.1

9.12

8.11

7.09

6.085.07

4.05 3.04 2.021.01

Experimentaland calculated enthalpies at40°C using BWR (Lee& Mather,

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Enthalpies of Carbon Dioxide-Methane 9

Figure 1.5 Experimental and calculated enthalpies at 50 °C using BWR (Lee & Mather, 1972).

Mol fraction methane

Exce

ss e

ntha

lpy

(J/m

ol)

0 0.2 0.4 0.6 0.8 10

200

400

600

800

1,000

1,200

1,400

1,600

1,800

2,000

1.01 MPa2.02 MPa3.04 MPa4.05 MPa5.07 MPa6.08 MPa7.09 MPa8.11 MPa9.12 MPa10.13 MPa

9.12

10.13

8.11

7.09

6.08

5.074.05

3.042.02

1.01

Figure 1.6 Experimental and calculated enthalpies at 60 °C using BWR (Lee & Mather, 1972).

Mol fraction methane

Exce

ss e

ntha

lpy

(J/m

ol)

0 0.2 0.4 0.6 0.8 10

200

400

600

800

1,000

1,200

1.01 MPa2.02 MPa3.04 MPa4.05 MPa5.07 MPa6.08 MPa7.09 MPa8.11 MPa9.12 MPa10.13 MPa

10.13

9.12

8.11

7.09

6.08

5.074.05

3.042.02

1.01

Page 26: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

10 Carbon Dioxide Capture and Acid Gas Injection

Figure 1.7 Experimental and calculated enthalpies at 70 °C using BWR (Lee & Mather, 1972).

Mol fraction methane

Exce

ss e

ntha

lpy

(J/m

ol)

0 0.2 0.4 0.6 0.8 10

100

200

300

400

500

600

700

800

1.01 MPa2.02 MPa3.04 MPa4.05 MPa5.07 MPa6.08 MPa7.09 MPa8.11 MPa9.12 MPa10.13 MPa

10.13

9.12

8.11

7.09

6.08

5.07

4.05

3.042.02

1.01

Figure 1.8 Experimental and calculated enthalpies at 80 °C using BWR (Lee & Mather, 1972).

Mol fraction methane

Exce

ss e

ntha

lpy

(J/m

ol)

0 0.2 0.4 0.6 0.8 10

100

200

300

400

500

600

1.01 MPa2.02 MPa3.04 MPa4.05 MPa5.07 MPa6.08 MPa7.09 MPa8.11 MPa9.12 MPa10.13 MPa

10.13

9.12

8.11

7.09

6.08

5.07

4.05

3.04

2.021.01

Page 27: Carbon Dioxide Capture and Acid Gas Injection...Involving Dense-Phase CO 2 Impurities 55 J.A. Commodore, C.E. Deering and R.A. Marriott 3.1 Introduction 55 3.2 Experimental 57 3.3

Enthalpies of Carbon Dioxide-Methane 11

AAD was 151.1 J/mol, the AD was 58.7 J/mol, the AAE was 15.0% and the AE was –0.7%. The maximum difference was 969.8 J/mol at 9.1 MPa, and 0.1 mole fraction nitrogen. The maximum error was 70% at the same conditions as the maximum difference. Figure 1.9 shows the calculated and

The Hejmadi et al. (1971) nitrogen of excess enthalpies data had an AAD of 26.1 J/mol, and AD of –11.0 J/mol, an AAE of 9.5% and an AE of –7.9%. The maximum difference was 90.8 J/mol at 6.5 MPa, 31 °C, and 0.239 mole

0.67 mole fraction nitrogen. As with the Barry et al. (1982) methane data, the lower deviations are likely due to the lower pressure range used in the measurements, as the highest pressure used was 6.5 MPa and the greatest deviations typically occurred around 7–10 MPa for temperatures in the

-

Figure 1.9 1970).

Mol fraction nitrogen (–)

Exce

ss e

ntha

lpy

(J/m

ol)

0 0.2 0.4 0.6 0.8 10

500

1,000

1,500

2,000

2,500

3,000

3,500

4,000

1.01 MPa2.03 MPa3.04 MPa4.05 MPa5.07 MPa6.08 MPa7.09 MPa8.11 MPa9.12 MPa10.13 MPa11.15 MPa12.16 MPa

12.111.1

10.1

9.1

8.11

7.09

6.085.074.05

3.04 2.021.01

experimentalenthalpiesfor the BWRmodel at 40°C.

fraction nitrogen.The maximumerrorwas 14.1% at 3.4 MPa,40°C and

30-40 -c range.For the Peterson & Wilson (1974) methane data for enthalpydepar­

tures, the AAD was 56.4Jlmol, the AD was 26.2Jlmol, the AAE was 3.7%andthe AE was 1.4%.Twopointswere omittedfrom theerrorcalculations

Experimentalandcalculatedenthalpiesat 40°C using BWR (Lee & Mather,