Trace Element Abundance Relationships in the Multi—stage Comagmatic Fractional Crystallization and Their Applications

In this study a mathematical expression of trace element abundance relationship for the mul-ti-stage comagmatic fractional crystallization has been established ,based on geochemical studies of the Emeishan basalt-trachyte series and adjacent mafic-ultramafic layered intrusions, as well as on the avail-able data for basalt, andesite, dacite and rhyolite series in southern Andes,Chile ,which have been well documented.It is demonstrated that the abundance constant (R) for a given trace element at dif-ferent stages of fractional crystallization of a parental magma is highly variable,which can be used as a criterion to divide fractional crystallization stages.     

The Law of Element Abundance Relationships in Igneous Rocks Petrogenetically Associated with Fractional Crystallization

Reported in this paper are: 1) the law of element abundance relationships: element abundances are of power function with each other in an igneous rock petrogenetically associated with fractional crystallization, 2) deduction of the law and relevant parameters: abundance relationship constant (a) and phase constant (R) from Henry’s law and the law of mass conservation. 3) the data basis and evidence of the law of element abundance relationships, 4) establishment of the equations for element abundance relationships in igneous rocks formed from the same parental magma during the same fractional crystallization stage. and all measurable parameters involved in the equations.     

丰度关系法估算分离结晶岩浆岩系原始岩浆成分

幔源原始岩浆是分离结晶过程的起点，又是地幔的平衡或分离部分熔融的产物，在这种原始岩浆岩中元素丰度关系既遵守分离结晶规律，又遵守地幔部分熔融规律。根据原始岩浆的元素丰度关系的这种双重特性，以安底斯山脉火山岩系的稀土元素为例，阐明了由分离结晶的岩浆岩岩系成分恢复原始岩浆成分的原理，并厘定出原始岩浆元素丰度的估算方法。     

用丰度关系法计算分离结晶岩浆岩系总分配系数

一种新的分配系数计算方法是以分离结晶的岩浆岩元素丰度(x,y)互成幂函数关系为理论基础,以冰岛分离结晶成因的玄武-流纹岩系的元素含量为例,运用元素比值与含量成份演化线的斜率即丰度常数R,计算分离结晶岩浆岩系分配系数。该方法的关键是选取理想元素,即分配系数极小(D<=0.01)的即极亲岩浆元素,然后选择与它配对的元素,通过作图或计算出配对元素的总分配系,进而计算出其它元素的总分配系数。这种方法的理论基础严密、操作简单、结果直观、可靠,与所研究岩系的实际情况十分吻合。     

A stochastic model of fractional crystallization and its application to the Japanese geosynclinal basalt

A stochastic model of the magmatic differentiation by fractional crystallization is given. The probability distribution of the quantity of crystallized solid removed from silicate melt was assumed to be binomial at any stage of the differentiation. According to this model, when concentrations of an element are transformed into their powers by using the reciprocal of the difference between bulk-partition coefficient for the element and unity as an exponent, the resultant frequency-distribution pattern becomes absolutely normal. The patterns of concentrations, however, cannot be expressed by a particular type of function but are variable according to the values of bulk-partition coefficients. Frequency distributions of element concentrations were computed under selected conditions on the basis of the model. The result shows that the skewed pattern often observed in frequency distributions of minor-element concentrations is explained by this fractional crystallization process. The frequency distributions of Ni and Cr concentrations in the geosynclinal basalt of southwestern Japan were examined in terms of this model. It was concluded that the model can be applied to the formation of the basalt concerning at least these two elements.     

Constraints on element mobility associated with the conversion of granulite to eclogite along fractures in an anorthositic complex on Holsnøy, Norway

On Holsnøy, an island off the coast of Western Norway, an anorthositic complex metamorphosed to granulite facies was partially overprinted by a later eclogite facies metamorphism. Eclogite facies rocks (containing omphacite, garnet, kyanite and hydrous phases such as mica and zoisite) occur in shear zones of various scales and adjacent to veins. Previous studies of shear zones on Holsnøy reported evidence for substantial element mobility (Jamtveit et al ., 1990; Mattey et al ., 1994). In this work, we compare chemical compositions of granulite and its undeformed eclogitized equivalent adjacent to veins in locations where a single band of granulite can be traced and sampled as it approaches the vein. This tracing is crucial because the pre-granulite rocks cover a substantial compositional range, indicative of a petrologically variable protolith consisting of anorthosite, gabbro and jotunite. We analysed multiple core samples collected across nine separate granulite-eclogite transition zones located at veins in anorthositic, jotunitic and gabbroic protoliths for major and trace elements. For each transition, no compositional difference between the average granulite and average eclogite composition was found at the 90% confidence level except for LOI (loss on ignition), which was consistently significantly higher in the eclogite samples. Although not significant at the 90% confidence level for any single traverse, the average eclogite concentrations of SiO₂ , Na₂O, Cs, As and Br exceed the average granulite concentrations for eight or all nine of the traverses. For most traverses, statistical analysis of the data limits any gain of SiO₂ in the eclogites to no more than a few relative per cent. Other than the introduction of volatile substances, presumably an H₂O-rich fluid, eclogitization associated with vein formation was essentially isochemical.