Kinetics of solid hydrate formation by carbon dioxide: Phase field theory of hydrate nucleation and magnetic resonance imagingPresented at the 3rd International Workshop on Global Phase Diagrams, Odessa, Ukraine, September 14?19, 2003.

In the course of developing a general kinetic model of hydrate formation/reaction that can be used to establish/optimize technologies for the exploitation of hydrate reservoirs, two aspects of CO2 hydrate formation have been studied. (i) We developed a phase field theory for describing the nucleation of CO2 hydrate in aqueous solutions. The accuracy of the model has been demonstrated on the hard-sphere model system, for which all information needed to calculate the height of the nucleation barrier is known accurately. It has been shown that the phase field theory is considerably more accurate than the sharp-interface droplet model of the classical nucleation theory. Starting from realistic estimates for the thermodynamic and interfacial properties, we have shown that under typical conditions of CO2 formation, the size of the critical fluctuations (nuclei) is comparable to the interface thickness, implying that the droplet model should be rather inaccurate. Indeed the phase field theory predicts considerably smaller height for the nucleation barrier than the classical approach. (ii) In order to provide accurate transformation rates to test the kinetic model under development, we applied magnetic resonance imaging to monitor hydrate phase transitions in porous media under realistic conditions. The mechanism of natural gas hydrate conversion to CO2-hydrate implies storage potential for CO2 in natural gas hydrate reservoirs, with the additional benefit of methane production. We present the transformation rates for the relevant processes (hydrate formation, dissociation and recovery).

[1]  K. Hall Another Hard‐Sphere Equation of State , 1972 .

[2]  E. D. Sloan,et al.  Structure H clathrate unit cell coordinates and simulation of the structure H crystal interface with water , 1997 .

[3]  Kelton,et al.  Test of classical nucleation theory in a condensed system. , 1988, Physical review. B, Condensed matter.

[4]  T. Pusztai,et al.  Nucleation and bulk crystallization in binary phase field theory. , 2002, Physical review letters.

[5]  D. Frenkel,et al.  Prediction of absolute crystal-nucleation rate in hard-sphere colloids , 2001, Nature.

[6]  Phase-field modeling of microstructural pattern formation during directional solidification of peritectic alloys without morphological instability. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  P. Munjal,et al.  Solubility of carbon dioxide in pure water, synthetic sea water, and synthetic sea water concentrates at -5.deg. to 25.deg. and 10- to 45-atm. pressure , 1970 .

[8]  Kwong H. Yung,et al.  Carbon Dioxide's Liquid-Vapor Coexistence Curve And Critical Properties as Predicted by a Simple Molecular Model , 1995 .

[9]  M. Grant,et al.  Phase-field modeling of eutectic growth. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  A. A. Wheeler,et al.  Thermodynamically-consistent phase-field models for solidification , 1992 .

[11]  A. Karma,et al.  Phase-Field Simulation of Solidification , 2002 .

[12]  K Schulten,et al.  VMD: visual molecular dynamics. , 1996, Journal of molecular graphics.

[13]  R. Kobayashi Modeling and numerical simulations of dendritic crystal growth , 1993 .

[14]  J. Mienert,et al.  Changes of the Hydrate Stability Zone of the Norwegian Margin from Glacial to Interglacial Times , 2000 .

[15]  Grant,et al.  Stochastic eutectic growth. , 1994, Physical review letters.

[16]  Hideki Tanaka,et al.  Thermodynamic Stability of Hydrates for Ethane, Ethylene, and Carbon Dioxide , 1995 .

[17]  D. Oxtoby,et al.  Density Functional Methods in the Statistical Mechanics of Materials , 2002 .

[18]  D. Oxtoby,et al.  NUCLEATION OF LENNARD-JONES FLUIDS : A DENSITY FUNCTIONAL APPROACH , 1996 .

[19]  T. Pusztai,et al.  Crystal nucleation and growth in binary phase-field theory , 2002 .

[20]  László Gránásy,et al.  Diffuse interface analysis of crystal nucleation in hard-sphere liquid , 2002 .

[21]  William L. George,et al.  A Parallel 3D Dendritic Growth Simulator Using the Phase-Field Method , 2002 .

[22]  Abbas Firoozabadi,et al.  Nucleation of gas hydrates , 2002 .

[23]  Direct calculation of the hard-sphere crystal /Melt interfacial free energy , 2000, Physical review letters.

[24]  Lenard Milich,et al.  The role of methane in global warming: where might mitigation strategies be focused? , 1999 .

[25]  J. Warren,et al.  Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method , 1995 .

[26]  Britta Nestler,et al.  A multi-phase-field model of eutectic and peritectic alloys: numerical simulation of growth structures , 2000 .

[27]  Karma,et al.  Phase-field model of eutectic growth. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[28]  M. J. Ruiz-Montero,et al.  Numerical evidence for bcc ordering at the surface of a critical fcc nucleus. , 1995, Physical review letters.

[29]  G. Caginalp,et al.  A Derivation and Analysis of Phase Field Models of Thermal Alloys , 1995 .

[30]  A. Karma,et al.  Method for computing the anisotropy of the solid-liquid interfacial free energy. , 2001, Physical review letters.

[31]  Ho Teng,et al.  Solubility of Liquid CO2 in Synthetic Sea Water at Temperatures from 278 K to 293 K and Pressures from 6.44 MPa to 29.49 MPa, and Densities of the Corresponding Aqueous Solutions , 1998 .

[32]  K. Kelton Crystal Nucleation in Liquids and Glasses , 1991 .

[33]  S. Hardy A grain boundary groove measurement of the surface tension between ice and water , 1977 .

[34]  Wang,et al.  Ginzburg-Landau theory for the solid-liquid interface of bcc elements. , 1987, Physical review. A, General physics.

[35]  A. Karma,et al.  Quantitative phase-field modeling of dendritic growth in two and three dimensions , 1996 .

[36]  J. E. Hilliard,et al.  Free Energy of a Nonuniform System. I. Interfacial Free Energy , 1958 .

[37]  R. L. Davidchack,et al.  Simulation of the hard-sphere crystal–melt interface , 1998 .