HR: 0830h
AN: NG11A-0171    [PDF]
TI: Application of Mutlidimensional Wavelets to Unveiling Multi-Phase Diagrams and in Situ Rock Physical Properties
AU: * Vasilyev, O V
EM: Oleg.Vasilyev@Colorado.EDU
AF: University of Colorado, Department of Mechanical Engineering, Boulder, CO 80309 United States
AU: Gerya, T V
AF: Russian Academy of Sciences, Institute of Experimental Mineralogy, Chernogolovka, 142432 Russian Federation
AU: Gerya, T V
AF: Ruhr-Universit�t Bochum, Institut f�r Geologie, Mineralogie und Geophysik 427 UCB, Bochum, 44780 Germany
AU: Yuen, D A
AF: Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, MN 55415 United States
AU: Yuen, D A
AF: University of Minnesota, Department of Geology and Geophysics, Minneapolis, MN 55415 United States
AU: Erlebacher, G
AF: Florida State University, School of Computational Science and Information Technology Department of Mathematics/Computer Science, Tallahassee, FL 32306 United States
AB: There is a growing recognition of the important role played by multi-component phase transitions on the dynamics of the subducting slab and rising plumes. However, up to now, most of applications are limited by semi-quantitative analysis of relatively simple systems with few phase transformations. On the other hand, recent development of both large internally consistent geologically oriented thermodynamic databases and state of the art Gibbs energy minimization approach allow calculation of equilibrium phase assemblages and prediction of in situ rock physical properties. New challenges emerge when accounting for realistic systems with more than 10-components and complicated non-ideal solid solutions closely representing a variety of natural terrestrial and planetary materials. Despite the fact that few examples of combinations of numerical thermomechanical modeling and Gibbs free energy minimization approaches are present in the literature, no uniform automated strategy of compact delineation and visualization of complicated realistic phase diagrams and related in situ physical properties of multicomponent systems has been developed so far. Calculation and visualization of phase diagrams is computationally expensive and difficult to capture visually. Traditionally the phase diagrams are calculated either on an a priori distributed dense set of points in phase space or using bisection algorithms. The former approach is very expensive and impractical for phase diagrams with dimensions higher that three. The latter lacks the robustness and often requires manual tuning. Robust fully adaptive multi-resolution algorithms for calculation of phase diagrams have not yet been explored until now. We will present preliminary results that demonstrate that efficient delineation and visualization of complicated realistic multi-phase diagrams and related in situ rock physical properties can be reached by combining adaptive wavelet based refinement strategy with the recently developed ``phase diagram function" based on Gibbs free energy minimization procedure. The examples of automatic construction of P-T phase diagram and related physical properties for the bulk chemical composition of typical high grade metapelite will be presented. The automated adaptive strategy will be presented as well and also the interactive visualization of complex multi-dimensional phase assemblages.
DE: 1000 GEOCHEMISTRY (New field, replaces Rock Chemistry)
DE: 3200 MATHEMATICAL GEOPHYSICS (New field)
DE: 3210 Modeling
DE: 3220 Nonlinear dynamics
DE: 3230 Numerical solutions
SC: Nonlinear Geophysics [NG]
MN: 2003 Fall Meeting