Traditional linear analysis methods are difficult to assess dynamics structure of logging signals and to reveal the intrinsic characteristics of the reservoir layer. In this paper, the analysis methods of non-stationary signals and the extraction methods of chaotic properties were given. The run-length method is adopted to verify non-stationary characteristics of real logging data, in the same time, the largest Lyapunov exponent of chaotic properties was extracted. The results showed that the logging signals have non-stationary and chaos properties.