Geometrical evolution of stressed and curved solidfluid phase boundaries: 1. Transformation kinetics
Abstract
This contribution is concerned with the fundamental thermodynamic aspects of solidfluid phase transformations in stressed rocks, specifically in the context of pressure solution. We concentrate in particular on the formulation of a kinetic law governing the migration of stressed and curved solidfluid phase boundaries, an objective that is achieved by using the methods of the thermodynamics of irreversible processes. We then apply our result to the study of the geometrical evolution of a fluidfilled cylindrical pore embedded in an isotropic, linear elastic solid that is subject to a hydrostatic remote stress, assuming that the interface kinetics controls the phase boundary migration and allowing for the effects of capillarity. On the basis of this investigation, we obtain an analytical expression for the pore's growth and show that phase equilibrium along the cylindrical solidfluid phase boundary is possible only when the pore pressure exceeds a critical value. The phase equilibrium is found to be kinetically unstable: when subjected to a small perturbation of its radius, the pore will either grow or shrink. The nature of this instability is further explored in the companion paper.
 Publication:

Journal of Geophysical Research
 Pub Date:
 January 1994
 DOI:
 10.1029/93JB02573
 Bibcode:
 1994JGR....99..505H
 Keywords:

 Earth Crust;
 FluidSolid Interactions;
 Geodynamics;
 Phase Transformations;
 Reaction Kinetics;
 Rocks;
 Stresses;
 Thermodynamics;
 Curves (Geometry);
 Geomorphology;
 Linearity;
 LiquidSolid Interfaces;
 Mathematical Models;
 Numerical Analysis;
 Geophysics;
 Physical Properties of Rocks: General or miscellaneous;
 Physical Properties of Rocks: Permeability and porosity