利用岩(矿)石化学成分计算其实际矿物组成和矿物成分

USING THE CHEMICAL COMPOSITION OF A KIND OF ROCKS (ORES) TO CALCULATE THE ACTUAL MINERAL COMPONENTS AND THEIR COMPOSITIONS

本文对目前各种矿物组成换算法系统调研基础上,提出了一种新的换算方法。该法基于岩(矿)石化学成分与其所组成矿物成分之间的质量平衡原理,并考虑岩石学相平衡原理、矿物结构-晶体化学原理,利用最小二乘法适步迭代以逼近实际矿物组成及其类质同象发育的矿物化学成分。本方法在思维上脱离了受“标准矿物”的限制,所计算结果基本上与实际岩(矿)石的矿物组成、类质同象发育的矿物成分相吻合。其计算由计算机进行,操作简便。

On the basis of the previous study,the authors provide a new method estimating mineral composition in the paper. By use of the method of minimum squares,the new method estimating mineral composition can be optimized, based on the principle of qualitative equilibrium between chemical compositions and mineral compositions of the rock,the principle of phase equilibrium of petrology and the principle of the mineral crystal lattice structure and crystal chemistry. The new method yields good results for successive approximation to actual mineral assemblage and the chemical composition of the universal isomorphous mineral. The mathematical model in this paper is successively optimized form of the overdetermined matrix equation: A·X= Y. It is realized that two constants decide a variable in each interative computation,but a constant decides two variables on the global circulation. The idea does not depend on 'the index mineral'. In addition. the method is covenient to operate the computer for the unprofessional people.