The Preliminary Analysis Of Onset And Development Of Ore-formation In Dajishan Tungsten Ore Area, Jiangxi Province, China

Sornette and Ide (2002, 2003) put forward a"theory of self-similar oscillatory finite-time singularities". It states: a two-dimensional dynamic system with two nonlinear terms exerting respectively positive feedback and negative feedback, by competing with each other, reaches the singularities (critical point) in finite time by virtue of self-similar log-periodic oscillations (discrete-scale invariance) and succeeded by power-law accelerating growth (continuous-scale invariance). This theory reflects accurately the spatio-temporal evolution and trends of development of events and processes in complex systems approaching to the singularities (or critical point), and the effect of its prediction for catastrophic events has been tested to be satisfactory. In the light of the complexity of ore-forming systems, the author tries to apply this theory in combination with geology and geochemistry to studying and analyzing the onset and development of ore formation in Dajishan tungsten ore area, Jiangxi Province, China, and also tries to explore the theory and method of non-linear sciences applied in ore-forming systems.The author takes the natural philosophical ideology—"the geological processes and their spatio-temporal structures are the essence and crux of geological phenomena"proposed by Yu Chongwen as the basic guiding idea, takes the spatio-temporal duality as the basic starting point, takes chemical waves and its propagation as the central idea, and takes the contents of chemical element tungsten M(r) as the carrier of positive and negative feedbacks in the ore formation, try to apply the theory and method of Geostatistics to studying the spatio-temporal evolution of ore-forming material in complex ore-forming system. Then seven representative profiles AO, BO, CO, DO, EO, FO and GO are selected for researches. Basing on the Theory of Self-Similar Oscillatory Finite-Time Singularities, the author builds the modelthen takes Dr as the variable to be studied. In the two different scales of macroscopic and mesoscopic view, the author applies the principle of"Intermediate asymptotics"to observing and measuring M(r) and Dr of ore-forming materials in the spatio-temporal profiles of mineralization. In order to study and analyze the onset and development of ore formation in the studied ore area, the Dr versus lnr plots are used to illustrate the one-dimension trend of evolution of the ore-forming processes.The results of study show that during the spatio-temporal evolution from outside the ore area to its center, the derivatives of the logarithms of the contents of chemical element tungsten (lnM(r)) with respect to the logarithms of the distance (lnr) (local fractal dimension Dr) manifest an obvious regularity: by the way of the process of self-similar log-periodic oscillations and the transition to power-law accelerating growth, they eventually approach to 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 the carrier of positive and negative feedbacks, and by competing with each other, approaches to the singularity (critical point) in finite time by virtue of self-similar log-periodic oscillations succeeded by power-law accelerating growth. In this way the onset of ore formation realizes. This regularity reflects correctly the dynamic process of ore formation of the studied ore deposit. The authors hold that the Sornette's theory could be further applied to the prediction of perspective area.