Quantitative Regulation of Resource Growth in the Process of Mineralization Derived from Dashui Gold Deposit in Maqu County, Gansu
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摘要: 大水金矿床是著名的超大型矿床.在借鉴前人矿床地质研究成果的基础上, 通过对矿体规模数据的多重分形特征及吨-品位关系研究, 揭示了成矿过程中资源量生长的数量规律.矿体长度服从简单分形分布, 矿床资源量的吨-品位关系能用指数函数或直线方程更好地拟合, 矿床与矿体资源量双对数图、吨-品位的双对数图的多重分形特征表明: 在分形构造成矿空间中, 特定成矿阶段的矿床资源量的生长方式是自组织非线性增殖过程, 与自组织有关的随机性使吨-品位关系趋于指数关系; 在整个成矿过程中, 矿床资源量的生长方式是各阶段矿体资源量的线性叠加.进一步根据熵最大化原理及效用理论导出了与统计结果吻合的矿床吨-品位方程, 并得到柴家庄金矿矿体地质数据的验证.Abstract: Dashui gold deposit boasts its superlarge size.Based on the previous geological research, the quantitative regulation of resource growth has been revealed by studying the multifractals and grade-tonnage relation from geological data of ore-bodies.The ore-body lengths are subjected to single fractal distribution, while tonnages vs grades relation can be better fitted to the exponential function or linear function.With the multifractal characteristics of double-logarithmic chart of tonnages vs grades and tonnage vs orebody resources, all the above show that, in the fractal metallogenic structure space, the growth of mineral resources in specific metallogenic phase was a nonlinear proliferation process related to self-organized optimization and its random makes the relation of tonnage vs grades tend to be exponential function, and the whole metallogenic process was the linear addition of multi-phase ore-body resources.Furthermore, the tonnage vs grade equations consistent with statistics were found by the maximal entropy and the utility theory and verified by the orebody geological data of Chaijiazhuang gold deposit.
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图 1 大水金矿矿体长度双对数坐标图
Fig. 1. Double-logarithmic plot of orebody resources in Dashui gold deposit
图 2 大水金矿矿体资源量对数直方图
Fig. 2. Logrithmic histogram of orebody resources in Dashui gold deposit
图 3 大水金矿矿体品位与低端截尾资源量拟合曲线
Fig. 3. Fitted curves showing of orebody grades to resources under lower truncation in Dashui gold deposit
图 4 大水金矿矿体品位与低端截尾资源量拟合曲线
Fig. 4. Fitted curves showing of orebody grades to resources under lower truncation in Dashui gold deposit
图 5 大水金矿品位与低端截尾资源量双对数曲线图
Fig. 5. Double logarithmic plot showing the relation of resourcesunder lower truncation to grades of glod orebodies
图 6 大水金矿体资源量与低端截尾资源量双对数
Fig. 6. Double-logarithmic plot of orebody resources to resources under lower truncation in Dashui gold deposit
表 1 玛曲县大水金矿矿体规模数据
Table 1. The sizes of Dashui gold ore bodies in Maqu County, Gansu Province
表 2 大水金矿矿体地质因素特征组合码与矿体资源量、品位的关系
Table 2. The relation of the association of metallogenic factors in Dashui gold deposit with sizes and grades of gold orebodies
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