Assessing Model Uncertainties Through Proper Experimental Design

This paper assesses how parameter uncertainties in the model for rise velocity of CO2 droplets in the ocean cause uncertainties in their rise and dissolution in marine waters. The parameter uncertainties in the rise velocity for both hydrate coated and hydrate free droplets are estimated from experiment data. Thereafter the rise velocity is coupled with a mass transfer model to simulate the fate of dissolution of a single droplet. The assessment shows that parameter uncertainties are highest for large droplets. However, it is also shown that in some circumstances varying the temperature gives significant change in rise distance of droplets.

[1]  Izuo Aya,et al.  Solubility of CO 2 and density of CO 2 hydrate at 30 MPa , 1997 .

[2]  John D. Gannon,et al.  Verification and Validation , 1997, The Computer Science and Engineering Handbook.

[3]  Peter G Brewer,et al.  Experimental determination of the fate of rising CO2 droplets in seawater. , 2002, Environmental science & technology.

[5]  C. Kinoshita,et al.  Solubility of CO2 in the ocean and its effect on CO2 dissolution , 1996 .

[6]  G. I. Kelbaliyev Drag coefficients of variously shaped solid particles, drops, and bubbles , 2011 .

[7]  Christopher J. Roy,et al.  Verification and Validation in Scientific Computing , 2010 .

[8]  Masahiro Nishio,et al.  Large-eddy simulation of double-plume formation induced by CO2 dissolution in the ocean , 2003 .

[9]  Dissolution rate of liquid CO2 in pressurized water flows and the effect of clathrate films , 1997 .

[10]  M. Sommerfeld,et al.  Multiphase Flows with Droplets and Particles , 2011 .

[11]  Trond Mannseth,et al.  Assessing the validity of a linearized accuracy measure for a nonlinear parameter estimation problem , 2001 .

[12]  Timothy G. Trucano,et al.  Verification and validation. , 2005 .

[13]  H. Teng,et al.  Mass Transfer from CO2 Drops Traveling in High-Pressure and Low-Temperature Water , 2001 .

[14]  Guttorm Alendal,et al.  Assessing model parameter uncertainties for rising velocity of CO2 droplets through experimental design , 2012 .

[15]  G. Rehder,et al.  Terminal velocities of pure and hydrate coated CO2 droplets and CH4 bubbles rising in a simulated oceanic environment , 2010 .

[16]  Y. Mori,et al.  Dissolution of liquid CO2 into water at high pressures: A search for the mechanism of dissolution being retarded through hydrate-film formation , 1998 .

[17]  G. Alendal,et al.  Parameterization of drag and dissolution of rising CO2 drops in seawater , 2005 .

[18]  Clifford H. Thurber,et al.  Parameter estimation and inverse problems , 2005 .

[19]  D. G. Watts,et al.  Relative Curvature Measures of Nonlinearity , 1980 .

[20]  R. Clift,et al.  Bubbles, Drops, and Particles , 1978 .

[21]  H. Drange,et al.  Two-phase, near-field modeling of purposefully released CO2 in the ocean , 2001 .