FRACTAL ANALYSIS OF AMPHIBOLE AGGREGATION GROWTH FROM A BASALTIC MELT AND RESIDUAL MELT AT HIGH PRESSURE AND HIGH TEMPERATURE
Author:
HU XIANXU12ORCID,
ZHANG BO12,
TANG QIZHE12,
XU JINGUI1,
FAN DAWEI1,
ZHOU WENGE1
Affiliation:
1. Key Laboratory for High Temperature and High Pressure Study of the Earth’s Interior Institute of Geochemistry, Chinese Academy of Sciences, Guiyang 550081, P. R. China
2. University of Chinese Academy of Sciences, Beijing 100049, P. R. China
Abstract
The aim of this work is to quantitatively explore the texture evolution of amphibole aggregation and residual melt with pressure and temperature. The amphibole aggregation growth from a basaltic melt and the residual melt at high pressure (0.6–2.6[Formula: see text]GPa) and high temperature (860–970[Formula: see text]C) exhibit statistical self-similarity which made us consider studying such characteristic by fractal analysis. The bi-phase box counting method was applied for fractal analysis of each product to identify the fractal phase and the fractal dimension was estimated. In the experimental products, the residual melt is identified as the fractal and amphibole as the Euclidean except for one experiment. The results show that the residual melt can be quantified by the fractal dimension [Formula: see text] within the range of 1.782–1.848. The temperature has a significant effect on the morphology of amphibole and the fractal dimension of the residual melt. The higher the crystallization temperature is, the more regular the amphibole grains are. At lower temperature (from 860[Formula: see text]C to 915[Formula: see text]C), the fractal dimension of the residual melt decreased with the increasing crystallization temperature, but at higher temperature (970[Formula: see text]C), the fractal phase changed to amphibole and the fractal dimension of amphibole is 1.816. The pressure may be the dominant factor that controls the morphology of the mineral aggregation and the residual melt. The fractal dimension of melt decreased linearly with the increasing pressure and if the linear relationship between the fractal dimension and pressure can be further verified in the future, it can be used as a potential geological barometer.
Funder
Strategic Priority Research Program (B) of Chinese Academy of Sciences
Joint Research Fund in Huge Scientific Equipment
National Natural Science Foundation of China
CAS “Light of West China” Program
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Geometry and Topology,Modeling and Simulation