成矿元素地球化学场的连续多重级联模拟研究

项目名称： 成矿元素地球化学场的连续多重级联模拟研究

项目编号： No.41302263

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 天文学、地球科学

项目作者： 姚凌青

作者单位： 中国地质大学（武汉）

项目金额： 24万元

中文摘要： 在成矿及矿化相关指示元素的地球化学场中，数据呈现偏态分布的现象较为常见，这类数据中存在的特异值不能完全通过常规的对数正态分布模型加以描述。近年来非线性数学地质的研究认为这类偏斜数据统计上服从多重分形分布，基于多重分形模型的非线性科学方法在地球化学异常信息提取及找矿预测工作中得以广泛应用。尽管如此，存在两大根本性科学问题有待深入认识：（1）成矿元素地球化学场为何具有多重分形特征？（2）成矿元素地球化学场的多重分形如何形成？据此，本项目拟通过连续多重级联模型对成矿元素迁移富集的非线性动力学机制进行研究，模拟成矿元素地球化学场的演化过程，从而为回答上述科学问题提供定量依据。我们将开发连续多重级联模拟的软件模块，通过统计验证方法检验模型的合理性，并尝试以不同比例尺的化探数据为实例探索多重级联模拟在勘查找矿中的应用。本项目的研究将为认识成矿元素迁移富集乃至矿床形成的动力学过程提供新的思路。

中文关键词： 地球化学场；非线性信息提取；多重分形；多重级联模型；

英文摘要： Among the geochemical fields of metallogenic elements or indicator elements of mineralization, the skewed distributions of the geochemical data are frequent and the outliers in the data can't fully be described by the traditional lognormal distribution. In recent years, nonlinear mathematical research from earth science regard this kind of skewed distributions as multifractal distributions, and nonlinear scientific methods based on multifractal model are popularly applied in extraction of gechemical anomalies, as well as in mineral potential prediction. However, two basic scientific problems remains to be answered thoroughly:(1) Why did the geochemical fields of metallogenic elements show multifractal characteristics? (2) How did the multifractals form in the geochemical fields of metallogenic elements? For this reason, we proposed a continuous multiplicative cascade model to explore the nonlinear dynamics about the migration and concentration of metallogenic elements, and to simulate the evolving process of the gechemical fields about metallogenic elements, so as to provide quantitative evidences for answering these questions. We will develop a software for simulating of continuous multiplicative cascade process, and testify the scientific resonableness of the model by statistical test, and also try to investi

英文关键词： Geochemical field； nonlinear information extraction；multifractal；multiplicative cascade model；