Generalized nonlinear inversion of kinetics data: application to the calcite <--> aragonite transformation

Details Generalized nonlinear inversion of kinetics data: application to the calcite <--> aragonite transformation Generalized nonlinear inversion of kinetics data: application to the calcite <--> aragonite transformation

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988pepi...52..159s&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 52, Issue 1-2, p. 159-171.

Physics

5

Scientific paper

This paper aims to describe an algorithm which enables one to obtain nonlinear kinetics laws from phase transformation kinetics experiments with good accuracy and reliability. This algorithm is an application of the generalized nonlinear inversion theory. After a brief description of the usual inversion methods, the algorithm and its advantages are described. It takes into account the experimental errors, it gives the most probable set of parameters with its relevant covariance matrix and it enables one to make comparisons between different kinetics laws and to test the quality of the fit. Furthermore, its use is more convenient and versatile than sophisticated least-squares regressions which would give the same information.
As an example, this algorithm is used to invert data of the calcite <--> aragonite transformation. They are well described by a first order kinetics law with a reaction exponent equal to one. It shows that the mechanism of the reaction is thermally activated but it does not permit one to distinguish between a nucleation and growth process and a dislocation glide process: the data give a good fit for both mechanisms.
Transformation isochrons are then draw on the P-T plane for both equations. The dislocation glide mechanism enables one to take into account the deviatoric stress and the isochrons can be drawn in P-T-σ space. At high deviatoric stresses and room temperature and pressure, it is predicted that aragonite can be formed in a few hours, and this has been experimentally observed.

Affiliated with

Also associated with

No associations

Rating

Generalized nonlinear inversion of kinetics data: application to the calcite <--> aragonite transformation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized nonlinear inversion of kinetics data: application to the calcite <--> aragonite transformation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized nonlinear inversion of kinetics data: application to the calcite <--> aragonite transformation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1600230