International Geologiical Congress - Oslo 2008

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MAG-04 Scales, scaling, non-linearity and complexity in the geosciences

 

The application of CNN and its local activity theory to exploring some complex phenomena in hydrothermal Ore-forming processes

 

Deyi Xu, China University of Geosciences (China)
Qiuming Cheng, York University (Canada)
Chongwen Yu, China University of Geosciences (China)
 

 

From observation of rock, minerals and distribution of elements in mineral one can deduce the potential formation of the ores due to certain types of mineralization. It is often seen some periodic oscillations and zonations in ore samples. These patterns are made up with either different minerals or different contents of minerals. Some oscillations may be due to temperature and pressure changes of the mineralization systems and these types of changes are often directional or asymmetrical. One also sees other types of periodic oscillations such as twins of feldspars and they show periodic oscillations without dominant trend of intensity. These localized dissipative formations widely existing in various nonlinear dynamic systems share a common unifying principle characteristic of dynamic arrays, such as cellular nonlinear networks, namely, interconnections of a sufficiently large number of simple dynamic units. These types of properties can be explained using non-linear CNN dynamic simulation. This paper numerically deduces the equilibrium regions (termed edge of chaos) in phase space by implementing the 2-D reaction-diffusion CNN of two state variables and two diffusion coefficients Zhabotinski model. The dynamic system with parameters from edge of chaos can generate some interesting density distribution patterns which may be useful for charactering complex phenomena about the second type of patterns mentioned above and observed in the rock samples from a hydrothermal ore mineralization system.

 

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