地球化学场的多重分形分析与分解

Geochemical and Geophysical anomaly play an important role in mineral exploration，their spatial structure character include singularity and self－similar。The singularity of an anomaly reflects the enrichment characters of the geochemical element ,The anomaly separation by multifractal model is useful in mineral anomaly assessment。In recent years, The continuous multifractal mode of the geochemical fields was studied ,it can be separated into the simple continuous multifractal mode and the high concentration multifractal mode, and the C－A、C－D、 S－A、MSDV、W－A method to decompose the anomaly were presented。Those are succeeded in interpretation of Geochemical and Geophysical anomaly。 This study makes a summarization to these method， we present a multifractal method based on wavelet transform to analyze the multifractal fields 。The singularity and spectrum are calculated through tracing the wavelet maximum modulus in different measure，and then the fields can be decomposed by the characters of the singularity。 It is demonstrated to be useful in interpretation of Au anomaly in Gekou－Shicheng region Rushang Shandong Province 。 Based on the multifractal theory , Using the concentration—area（C—A）method ,We study two geochemical fields in Chifeng area , Inner Mongolia。The results show that the geochemical fields have three different multifractal modes。Based on these ,we discuss the enrichment mode of the geochemical elements and their distributions in space and get the anomaly lower limit ,then the geochemical backgrounds、regional anomalies and local anomalies are distinguished