The ＂theory of self-similar oscillatory finite-time singularities＂ of Sornette reflects accurately the spatio-temporal evolution and trends of development of events and processes in complex systems approaching to th...The ＂theory of self-similar oscillatory finite-time singularities＂ of Sornette reflects accurately the spatio-temporal evolution and trends of development of events and processes in complex systems approaching to the singularities, and the effect of prediction for catastrophic events has been tested to be satisfactory. The authors take the contents of the chemical element tungsten as the carrier of positive feedback （or activator） in the ore formation, then try to apply the theory to studying and analyzing the onset and development of ore formation in the Dajishan （大吉山） tungsten ore area, Jiangxi （江西） Province, China. The results of the study show that during the spatio-temporal evolution from outside the ore area to its center, the contents of the chemical element tungsten and their loga- rithmic derivatives （local fractal dimension） manifest an obvious regularity： by way of the process of oscillation and the transition to power-law accelerating growth, they eventually approach the center of ore formation. The regularity makes clear that in the complex ore-forming system of the Dajishan tungsten ore deposit, the chemical element tungsten plays the role of carrier of positive and negative feedback, and by competing with each other, approaches to singularity in finite time by virtue of self-similar log-periodic oscillations and succeeded by power-law accelerating growth. In this way the onset of ore formation is realized. This regularity reflects correctly the dynamic process of ore formation of the studied ore deposit. The authors hold that Sornette＇s theory can be further applied to the prediction of perspective areas.展开更多
基金supported by the Open Foundation of State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Beijing (No. GPMR200842)
文摘The ＂theory of self-similar oscillatory finite-time singularities＂ of Sornette reflects accurately the spatio-temporal evolution and trends of development of events and processes in complex systems approaching to the singularities, and the effect of prediction for catastrophic events has been tested to be satisfactory. The authors take the contents of the chemical element tungsten as the carrier of positive feedback （or activator） in the ore formation, then try to apply the theory to studying and analyzing the onset and development of ore formation in the Dajishan （大吉山） tungsten ore area, Jiangxi （江西） Province, China. The results of the study show that during the spatio-temporal evolution from outside the ore area to its center, the contents of the chemical element tungsten and their loga- rithmic derivatives （local fractal dimension） manifest an obvious regularity： by way of the process of oscillation and the transition to power-law accelerating growth, they eventually approach the center of ore formation. The regularity makes clear that in the complex ore-forming system of the Dajishan tungsten ore deposit, the chemical element tungsten plays the role of carrier of positive and negative feedback, and by competing with each other, approaches to singularity in finite time by virtue of self-similar log-periodic oscillations and succeeded by power-law accelerating growth. In this way the onset of ore formation is realized. This regularity reflects correctly the dynamic process of ore formation of the studied ore deposit. The authors hold that Sornette＇s theory can be further applied to the prediction of perspective areas.
