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1 Kimberly Gilbert, Phil Bennett, Will Wolfe, Katherine Romanak, Tongwei Zhang, Randall Cygan 1 University of Texas at Austin 2 Sandia National Labs March 03, 2016
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Challenge 1: Sustaining Large Storage Rates Challenge 2: Using pore space with unprecedented efficiency Challenge 3: Controlling undesired or unexpected behavior Theme 2: Multifluid Geochemistry --- Geochemistry at the fluid-fluid interface Reservoir dynamics of Bravo Dome natural CO 2 reservoir Reactions of CO 2 with clay minerals CO 2 Solubility: Competition for Water 2 Phil Bennett: CO 2 solubility, precipitation/dissolution experiments, wettability Randy Cygan: molecular dynamics simulations Kim Gilbert: CO 2 solubility Senior PersonnelStudents and Post-Docs
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3 Characterize the interactions between injected CO 2 and reservoir brine and develop a mechanistic understanding of CO 2 dissolution. Activity Objectives Storage Efficiency Improve sweep efficiency Enhance capillary (ganglion) trapping Controlling Emergence Prevent unwanted fracturing Control path development Prevent unexpected migration of CO 2 Sustaining Injectivity Control wellbore failure Enhance permeabilty/avoid precipitation during injection Guide injection limits CHALLENGES Predict solubility trapping Predict mineral trapping
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Executive Summary (for everyone) Molecules are like people, they compete for resources and steal them when they are under high pressure or have lots of energy.
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1.What is the CO 2 solubility (C CO2 ) in brines containing NaCl, CaCl 2, NaHCO 3, and Na 2 SO 4 at high T and CO 2 pressure (PCO 2 )? 2.Do different ions with same ionic strengths result in different C CO2, and if so, what are the mechanisms of those differences? Questions
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CO 2 fugacity versus PCO 2 generated from Duan, et al. 1992. Fugacity ~ Effective PCO 2
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First I took some measurements…
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Stainless steel reactor Brine CO 2 Vacuum pump Sample Cylinder Pressure transducer Evacuated expansion chamber Calculate CO 2 moles with n=RT/PV
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…resulting in a total of 131 CO 2 solubility measurements. Water, NaCl, CaCl 2, Na 2 SO 4 and NaHCO 3. T = 30-140°C Up to ~24 MPa CO 2 fugacity Water and NaCl measurements taken by Tongwei Zhang and Katherine Romanak
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NaCl Brines Increases with fugacity Decreases with temperature Decreases with salts
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How do we quantify the salt effect?
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We Typically Use Ionic Strength. I=1 I=3
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Ionic Strength is a Poor Predictor of CO 2 Solubility When Salt is Changed. Na 2 SO 4 has 15% less dissolved CO 2 than CaCl 2 60°C
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CO 2 Solubility vs. Water Activity 60°C and a fugacity of 6.7 MPa R 2 = 0.74
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We need another method to quantify the effects of salts. We look at the fundamental properties of dissolution.
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CO 2 Needs Lots of Water. Water doesn’t like non-polar molecules, like CO 2 so it forms a cage around them.
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δ-δ- δ+δ+ δ+δ+ Na+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ Cl- δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ Spiro, et al, 1968; Millero, et al, 1969; Millero, et al. 2013 Ions Need Less But Hold it Tightly.
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There are 55.5 moles water/kgw Each ion electostricts h i water molecules (hydration #) h a = Σc i n i h i Electrostricted by ions water (mol/kgw) Available for CO 2 : FW = 55.5 – h a (mol/kgw) For 0.5 m CaCl 2 C i = 0.5 mol/kgw n Ca = 1, n Cl = 2 h Ca = 8.9, h Cl = 2.7 h a = 7.15 mol/kgw Accounting of Water Molecules For h a =7.15 mol/kgw, then FW = 48.35 mol/kgw.
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R 2 = 0.96 CO 2 Solubility vs. Electrostricted Water T = 60°C CO 2 fugacity = 6.7 MPa
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New way of thinking CO 2 solubility. CO 2 and ions compete for water molecules.
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Na Cl Na+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ Cl- δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ δ-δ- δ+δ+ δ+δ+ Taking a water molecule from a hydrated ion is the reverse reaction and requires energy. Hydration Thermodynamics ΔH hydr ΔS hydr
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R 2 = 0.92 CO 2 Solubility vs. ΔH hydr T = 60°C CO 2 fugacity = 6.7 MPa R 2 = 0.95 ΔS hydr (J/kgw°C) ΔH hydr (kJ/kgw)
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Systems with Less FW Dissolve Less CO 2. Higher energy barriers to removing water from ions decrease CO 2 solubility at 6.7 MPa and 60°C. Is the evidence still there when we look at all the data?
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Ions Ion Concentration (mol/kgw) T (°C) PCO 2 (MPa) # dataReference Na +, Ca 2+, Cl -, SO 4 2- 0.1-3.9 & Mixed 35-140 1.5- 35.8 91(Gilbert et al., 2015)Gilbert et al., 2015 Na +, Ca 2+, K +, Cl - 1.0-1.9 & Mixed 35-55 1.1- 16.6 123(Liu, Hou et al. 2011) Na +, Cl - 4-640-1600.5-9.660 (Rumpf, Nicolaisen et al. 1994) Na +, Cl - 0.280-2002.1-1033 (Nighswander, Kalogerakis et al. 1989) Na +, SO 4 2- 118.8-76 3.5- 13.1 47 (Bermejo, Martin et al. 2005) Na +, Cl - 0.5-2.0172-2672.7-7.224(Ellis and Golding 1963) Na +, K +, Ca 2+, Mg 2+, Cl - 1-5 & Mixed35-1521.3-3885(Tong, Trusler et al. 2013) Na +, Cl - 1-550-1405-4036(Yan, Huang et al. 2011) Collated >500 Data Points
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Use statistical methods to determine: If variables are significant (p<0.05) Coefficients for each variable What are the interactions between the variables As a 1 st step: C CO2 = f {temperature (T), fugacity (f), T 2, f 2, T*f} Moderated Multiple Regression
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Predicting CO 2 Solubility Using Only f and T
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Reduced variables by combining: ΔH hydr - TΔS hydr = ΔG hdyr (kJ/mol) then, ΔG = ΣC i n i ΔG hydr (kJ/kgw) Now my variables are f, T, h a and G We include squares and interaction terms Complete Model
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CO 2 Solubility R 2 = 0.92 Simple and mixed solutions containing Na +, K +, Ca 2+, Mg 2+, Cl -, SO 4 2-, (and perhaps HCO 3 - ) Up to 267°C and 40 MPa PCO 2 (23 MPa fugacity) No new experimental work to determine parameters. Mixed Brines This Model Error Pitzer Error Mt. Simon Brine3.8%-3.6% NaCl, CaCl 2, KCl-1.1%-10.1% Bravo Dome15.8%15.7%
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1.Developed new equation to quantify amount of electrostricted water (h a ). 2.Developed a predictive model for CO 2 solubility using fundamental properties of molecular interactions. No extra experimental work required Predicts CO 2 solubility for 6 ions in any combination (mixed brines) Provides insight into molecular interactions Conclusions
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31 Developed new equation to describe the concentration of electrostricted water. Generated a model to predict CO 2 solubility based on a new mechanistic understanding of CO 2 dissolution. Activity Scientific Findings Storage Efficiency Improve sweep efficiency Enhance capillary (ganglion) trapping Controlling Emergence Prevent unwanted fracturing Control path development Prevent unexpected migration of CO 2 Sustaining Injectivity Control wellbore failure Enhance permeabilty/avoid precipitation during injection Guide injection limits CHALLENGES Predict solubility trapping Predict mineral trapping
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