突变理论在地震资料解释异常地质体中的应用

Application of catastrophe theory in identifying geological anomalous bodies with Seismic Data

阐述了尖点突变理论,建立了地震信号尖点突变模型并转化为尖点突变的标准形式,在时间域内提取突跳势、突跳时间;在频率域内提取突跳势、突跳次数等参数.运用突变理论对实际地震资料进行薄煤带的解释表明:突跳参数曲线上异常的位置与异常地质体边界的位置有关,为地震资料解释异常地质体提供了一种新的途径.

Point catastrophe theory is detailed in this paper. The point catastrophic model is described here. And the seismic signal is transformed into the standard form of cusp catastrophe by establishing the cusp model. The parameters of catastrophe, such as time-domain catastrophe potential, time-domain catastrophe time, layer catastrophe degree, frequency-domain degree and so on, are used to study real seismic data interpretation and test the feasibility of the theory. The results show that the position of abnormality of the catastrophe parameter profile or curve is related to the location of the geological anomalous body. It is effective to automatically pick up geology information and improve the precision of interpretation in seismic data. The catastrophe theory will provide a potential method for seismic interpretation.