The paper puts forward the definite matching correlation dimension for qualitative geological variables in time and space series, the estimate method of fractal dimension and the principle of distinguishing fractal body, taking the electron microprobe analysis data of higher density and longer series on core in Bainiu chang Ag polymetallic ore deposit as an example.

Application to fault diagnosis of reciprocating compressor based on emprical mode decomposition and correlation dimension;

Application of correlation dimension and EMD-based AR model in the fault diagnosis;

Determination method and diagnosis application of non-scale range of correlation dimension;

The fractal characteristics of vibration process of chippers chief shaft are analyzed based on the theory of fractal application by analyzing the actual vibration signals of chippers chief shaft and calculating the correlation dimensions of the signals.

Aiming at the non-linearity which exists in the bearing transmission but is ignored in the traditional fault diagnosis methods,the max-Lyapunov exponent was calculated in order to judge the system state of chaos firstly,then the correlation dimensions was calculated for the sake of judging the fault type.

Firstly, the delayed-time method is used to reconstruct the phase space of sewage flow series and calculate the correlative dimension.

The fractal dimension is applied to analyze the vibration signals to find fault of gears The correlative dimension was used to depict the fault character in vibration signals The relations between the correlative dimension and the type of gear fault are studied with a gear test bench The parameters that affect the result of the correlative dimension are discusse

The correlative dimensions of high frequency signals of wavelet transform are computed in different fault state,which are used to determine the fault types of apparatus.