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基金项目:国家自然科学基金项目“深部成矿预测的分形新模型研究——以山东地区金矿为例”(41172302)、“成矿预测中的多维分形与耗散结构建模研究”(40672196)
作者单位
崔健,殷梅,申维,等 江苏省有色金属华东地质勘查局 
摘要:
      野外物探工作采集得到的数据,是一定范围内地质体引起的地球物理场的综合反映。基于非线性科学的分形理论,建立测度与尺度之间的指数关系,构建分维数矩阵,达到对数据进行分形校正的目的。通过实例分析,阐述了覆盖区间的宽度对于分维数计算结果的影响及边界效应的变化规律。实测数据经分形校正处理后,可以最大程度地消除地球物理场中体积效应的影响,还原单个测点的真实值,即该测点下地质体所引起的地球物理场值,为分形校正方法的应用提供了理论支撑和案例参考。
关键词:MATLAB软件  分维数  分形校正  体积效应
Abstract:
      The collected data in field geophysical exploration is a comprehensive reflection of geophysical field caused by a geological body in a certain range. Based on the study of fractal theory in nonlinear science, the article defines the measure of two-dimensional geophysical parameters, establishes the exponential relation between measure and scale, constructs a fractal dimension matrix to achieve fractal correction of data. An example is given to expound the influence of the width of the coverage interval on the fractal dimension calculation results and the variation of the boundary effect. The volume effect of measured data in the geophysical field can be eliminated to the maximum extent by the fractal correction processing. The real value of a single measure point is restored, which is the geophysical field value of the geological body at that point. Besides, it can provide the theoretical basis and case analysis for the promotion of fractal correction.
Keywords:MATLAB software  fractal dimension  fractal correction  volume effect
崔健,殷梅,申维,等.分形校正理论在减弱物探数据体积效应中的应用[J].地质学刊,2018,42(3):401-406