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1.
The statistics of Pearce element diagrams and the Chayes closure problem   总被引：3，自引：0，他引：3  
Pearce element ratios are defined as having a constituent in their denominator that is conserved in a system undergoing change. The presence of a conserved element in the denominator simplifies the statistics of such ratios and renders them subject to statistical tests, especially tests of significance of the correlation coefficient between Pearce element ratios. Pearce element ratio diagrams provide unambigous tests of petrologic hypotheses because they are based on the stoichiometry of rock-forming minerals. There are three ways to recognize a conserved element: 1. The petrologic behavior of the element can be used to select conserved ones. They are usually the incompatible elements. 2. The ratio of two conserved elements will be constant in a comagmatic suite. 3. An element ratio diagram that is not constructed with a conserved element in the denominator will have a trend with a near zero intercept. The last two criteria can be tested statistically. The significance of the slope, intercept and correlation coefficient can be tested by estimating the probability of obtaining the observed values from a random population of arrays. This population of arrays must satisfy two criteria: 1. The population must contain at least one array that has the means and variances of the array of analytical data for the rock suite. 2. Arrays with the means and variances of the data must not be so abundant in the population that nearly every array selected at random has the properties of the data. The population of random closed arrays can be obtained from a population of open arrays whose elements are randomly selected from probability distributions. The means and variances of these probability distributions are themselves selected from probability distributions which have means and variances equal to a hypothetical open array that would give the means and variances of the data on closure. This hypothetical open array is called the Chayes array. Alternatively, the population of random closed arrays can be drawn from the compositional space available to rock-forming processes. The minerals comprising the available space can be described with one additive component per mineral phase and a small number of exchange components. This space is called Thompson space. Statistics based on either space lead to the conclusion that Pearce element ratios are statistically valid and that Pearce element diagrams depict the processes that create chemical inhomogeneities in igneous rock suites.  相似文献   

2.
The most commonly used tectonic discrimination diagrams for granites were introduced by Pearce et al. [Pearce, J.A., Harris, N.B.W., Tindle, A.G., 1984. Trace element discrimination diagrams for the tectonic interpretation of granitic rocks. J. Petrol. 25, 956–983.]. Since then, many studies have shown that some granites defy classification or their geochemical assignment does not fit with the geodynamic environment in which they are thought to have formed. In this paper we evaluate the performance of the Pearce et al. tectonic discrimination method, specifically, the most widely-used Rb-(Y + Nb) diagram, using a new data base of over 250 occurrences worldwide, the tectonic settings of which are fairly well known. We conclude that a correlation of geochemistry and tectonic position exists, but that ambiguities and misclassifications arise from one or both of the following factors. First, complex or polyphase orogeny can mix source rocks of different tectonic provenance. This is common in continental arcs and collisional settings, which can be closely associated in space and time with extensional regimes. Second, differentiation can produce compositional trends which cross field boundaries, especially the VAG to WPG boundary. One can minimize this problem by using less felsic, noncumulate members of cogenetic series.

We demonstrate the inherent weaknesses of trace element tectonic discrimination diagrams. Such diagrams are of little use if applied alone, but they can be valuable in combination with other methods such as dating and geologic assessment.  相似文献   


3.
Analysis of petrologic hypotheses with Pearce element ratios   总被引：6，自引：0，他引：6  
Pearce element ratios can test whether the members of a rock suite are comagmatic and can illustrate the causes of chemical diversity in comagmatic suites. Comagmatic rocks have constant ratios for elements conserved in the system during changes that led to the chemical diversity. In basaltic systems, the incompatible elements, Ti, K, and P, are often conserved. The slope of the trend on a Pearce element ratio diagram is sensitive to the stoichiometry of the crystallizing and segregating phases. A judicious choice of ratios as axes for the diagram provides a signature for the phases involved and estimates of their compositions. In basaltic rocks, diagrams with Ti/K vs P/K can provide a test of the comagmatic hypothesis. Diagrams with 0.5 [Mg + Fe]/K vs Si/K have trends that are distinct for each comagmatic suite and different mineral assemblage. Different suites are distinguished by the intercepts in diagrams, whereas mineral assemblages are recognized by the slopes of the trends. For example, if olivine is the sole crystallizing and segregating phase, the trend will have a slope of 1. Diagrams with [2Ca + Na]/K vs Al/K distinguish plagioclase from augite assemblages and, in conjunction with 0.5 [Mg + Fe]/K diagrams, unravel the crystallization sequences of suites that have suffered three phase crystallization and segregation. Analyses from the Uwekahuna laccolith, Kilauea, the 1955 and 1967–68 eruptions of Kilauea, Diamond Craters Volcanic Field, Oregon, and experimental data on MORB glasses provide illustrations of the interpretations that can be obtained from Pearce element ratios.  相似文献   

4.
John C. Butler 《Lithos》1982,15(3):207-214
The rubidium-strontium isochron procedure has proven to be a powerful tool in many geochemical studies. An isochron is said to exist if a plot of (87Sr/86Sr) versus (87Rb/86Sr) produces a linear trend with a large correlation coefficient. However, the variables selected to portray the isochron have the same denominator (86Sr) and Pearson long ago noted that a large correlation could be induced when such ratios are formed from uncorrelated numerators and denominators. A set of numerical experiments are described that illustrate the common denominator effects as applied specifically to rubidium-strontium systematics. For at least one previously published RbSr isochron it can be shown that the common denominator effect is capable of producing a correlation coefficient that is very nearly 1.000. However, it is also shown that, for the data sets analyzed, the common denominator effect can not produce a geologically meaningful isochron. The numerical approach to assessing the common denominator effect can be applied only to those sets of isotopic analyses in which 87Rb and 86Sr have been determined by isotope dilution techniques. For the many data sets in which only the ratios (87Sr/86Sr) and (87Rb/86Sr) have been determined the common denominator effect can neither be assessed nor dismissed as trivial.  相似文献   

5.
Pearce element ratios (PERs, of Pearce 1968) express geochemical data in a form where variations in absolute compositions of an igneous suite can be evaluated. Generally the denominator value in the ratio is taken as a major element abundance, but it is argued here that Zr provides a more suitable choice. Zr remains incompatible in magmatic systems up to 68 wt.% SiO2 because zircon fractionation can be suppressed by high melt temperatures and increased volatile contents. The use of Zr thus permits PER modelling to be extended to much higher levels of silica than previously investigated. However, such systems are more complex than those just involving simple basaltic magmas. Besides fractionation, the processes of magma mixing, combined assimilation and fractional crystallization, and the initial degree of partial melting in the mantle source must also be considered. To distinguish and evaluate these processes a set of example suites are investigated from a complex synextensional calc-alkaline province in the western USA. Samples within most individual suites can be modelled by fractionation, however a significant trend orthogonal to the main fractionation vector is also apparent, and open system processes are inferred. Successful modelling is achieved on an inter-suite basis using diagrams with axis functions of ([4(Ca+Na)+0.5(Fe+Mg)]/Zr versus (Si+Al)/Zr). Potential open system evolution paths between mafic end members and crustal contaminants are also displayed and evaluated on these same diagrams. The encouraging results suggest that such PER diagrams may be employed as a versatile tool for investigating the systematics of related igneous suites over a wide area.  相似文献   

6.
Pearce element ratios (PER's) have conserved denominators which have not participated in the material transfer processes that cause chemical variations in rocks. Theoretically, there is no truly conserved element (constituent) which can be used as a PER denominator because in every material transfer process all constituents have non-zero concentrations in the phases that are being transferred. Thus, constituents used as denominators of PERs may have undergone at least a small amount of material transfer. This communication investigates the degree to which a non-conserved PER denominator changes the trend of data produced by a material transfer process from that produced by the same process but plotted on a PER diagram with a truly conserved denominator. An equation is developed that utilizes the partition coefficient as the measure of the degree of involvement of the denominator constituent in the phase undergoing transfer. This equation is examined to determine how the magnitude and direction of a PER diagram data trend change with increasing involvement of the denominator constituent in the transferring phase. A set of plagioclase fractionation examples are presented which use different elements as PER denominators and consider the effects that small amounts of these elements in the plagioclase structure will have on the data trend, as a function of the element partition coefficient between crystal and melt. Results demonstrate that the direction of change in slope of a material transfer data trend is a function of the initial relative magnitudes of the numerator constituents on the PER diagram. Additionally, if the amount of involvement of a PER denominator in a separating phase is very small relative to the amount of the numerator constituents in the separating phase, there is no significant change in the data trend caused by material transfer on a PER diagram. Moreover, if the denominator constituent substitutes for a numerator constituent in the phase undergoing transfer, the intercept of the trend of the data may not converge to zero when there is a large partition coefficient, as would be expected from theory. Thus, statistical tests to determine if a PER denominator is conserved, which evaluate whether the intercept is significantly different from zero, may not be very powerful because a large amount of denominator variation is necessary before the intercept of a data trend is forced through the origin, if at all.  相似文献   

7.
M.H. Dodson 《Lithos》1982,15(3):215-219
A general null hypothesis for isotope geochemistry states that the isotopic composition of an element is independent of its concentration or any other geochemical property of the population. ‘Spurious’ correlations between the ratios 87Sr/86Sr and 87Rb/86Sr (orRb/Sr), due to the common denominator effect, may be ruled out because they contradict this null hypothesis. Mixing processes may be regarded as geochemical counterparts of the common denominator effect. In geochronological systems which satisfy the basic assumptions of the Rb-Sr isochron method observed correlations between Sr isotope abundance and Sr concentration must be secondary to the direct causal dependence of 87Sr/86Sr upon Rb/Sr ratios.  相似文献   

8.
蛇绿岩生成构造环境的Ba-Th-Nb-La判别图   总被引：58，自引：24，他引：58  
李曙光 《岩石学报》1993,9(2):146-157
Pearce的Ti-Zr-Y图不能很好区分洋脊和岛弧玄武岩,Ti对岩浆分离结晶作用很敏感,因此用这个图判别蛇绿岩生成构造环境效果不好,本文利用分配系数相近的Ba,Th,Nb,La四个非常不相容元素的(Ba/Nb)-Ba,(Nb/Th)-Nb,(La/Nb)-La和(Ba/Nb)-(Th/Nb)图解很好区分了洋脊、岛弧、洋岛玄武岩。弧后盆玄武岩同时具有洋脊和岛弧玄武岩的特征。这些元素在海水蚀变中较稳定,它们的比值在分离结晶过程中保持不变,因此这些图解有利于判别蛇绿岩(包括熔岩和均质辉长岩)生成的构造环境。  相似文献   

9.
Geochemical data can be quantitatively modelled by means of Pearce diagrams. These are graphs of A/Z vs B/Z where A, B and Z are compositional abundances (e.g. wt.% SiO2, wt.% MgO, and ppm La) and Z has the additional property of having constant absolute abundance. In the terminology of igneous petrology, Z (the common denominator variable) could be an incompatible element. The numerators (A and B) may be complex algebraic combinations of elements, or even CIPW normative abundances. The utility of Pearce diagrams lies in the fact that slopes of data distributions equal the bulk AB ratio of minerals lost or gained from a suite of cogenetic rocks. There is no distortion because these plots correct for data closure. Terms of the form Ai·Z0/Zi (where Z0 is the abundance in a reference sample) remove the scaling to Ai caused by the abundance of a particular choice of Z. Subtraction of these terms for different samples (e.g. Ai·(Z0/Zi)-Aj· (Z0/Zj)) quantifies mineral losses and gains. Mathematical analysis shows that limited compatibility of the denominator variable is permitted. A bulk partition value (D) of 0.1 introduces an error of only 10% in values of Ai***-Z0/Zi, and 10° in slope-angle on Pearce diagrams over a crystallization interval of 50%. For D0.01 the error is minimal for a crystallization interval over 90%.  相似文献   

10.
本文在西天山尼勒克县布谷拉地区厘定出了具有构造指示意义的超钾质岩浆岩,它侵位在石炭纪大哈拉军山组地层中,出露面积约为0.02km2,在空间上该类岩石与铜的矿化异常带或矿化带紧密共生。布谷拉超钾质岩浆岩具有典型的斑状结构,斑晶以钾长石、橄榄石、辉石为主,偶见白榴石残留体或假象。造岩矿物及岩石化学组成特征显示,布谷拉超钾质岩浆岩为斜长白榴岩类超钾质岩浆岩。布谷拉超钾质岩浆岩微量元素蛛网图表现为Nb-Ta、Zr-Hf、Ti的负异常和Pb的正异常,暗示该超钾质岩浆岩形成于造山阶段。微量元素地球化学特征显示,布谷拉超钾质岩浆岩是含金云母的石榴石尖晶石二辉橄榄岩部分熔融的产物,其形成深度介于70～80km狭窄的范围内。布谷拉超钾质岩浆岩的40Ar-39Ar有效坪年龄为274.2±1.6Ma,等时线年龄为274.3±4.4Ma,表明该类岩石形成于早二叠世。布谷拉超钾质岩浆岩的地球化学特征及40Ar-39Ar定年研究结果显示,在早二叠世至少阿吾拉勒山的东段仍处于造山演化阶段。  相似文献   

11.
In petrology, Pearce element ratio (PER) diagrams have been used: i) to determine whether members of a rock suite are co-genetic, ii) to identify the minerals involved in differentiation processes, and iii) to evaluate the extent to which those mineral are involved. The axis coefficients of each diagram are chosen such that sorting of minerals or combinations of minerals will generate unique and predictable trends. Unfortunately, selection of the optimal combination of axis coefficients is a difficult task, especially if the system being investigated has a large number of phases or complicated solid solution minerals. Our work has established a formal set of rules and matrix operations which facilitate the determination of PER diagram axes coefficients. This methodology can be used to determine the unit molar vector displacement caused by the addition or subtraction of a specific mineral, given a set of axis coefficients. It can also be used to create PER diagrams on which minerals have predetermined vector displacements. By designating all vector displacements to be parallel, axis coefficients for assemblage test diagrams can be determined to test the following hypothesis: the observed chemical variation is due to the addition (or removal) of a specific set of minerals. Alternatively, by designating all vector displacements to be mutually perpendicular, phase discrimination diagrams can be created which test whether the observed chemical variations require a specific phase to be involved in differentiation. Phase discrimination diagrams also provide a means to estimate the extent of that involvement. This methodology facilitates construction of powerful yet simple PER diagrams which provide an effective means of testing alternative differentiation hypotheses. Current address: Department of Geological Sciences, Queen's University Kingston, Ontario K7L 3N6, Canada  相似文献   

12.
元素地球化学研究结果表明，苍山变质带内发育两类正变质基性岩：一类为形成于富集型MORB构造环境的变拉斑玄武岩，另一类为形成于板内构造环境的变碱性玄武质岩墙，Sm-Nd同位素体系研究表明，变拉斑玄武岩形成于晚古元古代至中元古代（2．0－1．4G a );变碱性玄武质岩墙形成于中新元古代（1．3－0．8Ga)，已发表的Sm-Nd等时线年龄（2408Ma)其Sm/Nd比植变化很小，故没有实际的地质意义。  相似文献   

13.
元素协变图作为研究地球化学元素之间相关关系的重要方法之一,直观的显示出元素在岩浆演化过程中的变化趋势.但现有元素协变图在处理和分析地球化学大数据时,无法体现不同演化阶段元素地球化学行为的差异性,难以揭示大数据背景下地球化学元素之间的相关关系,限制了地球化学大数据的进一步分析和应用.为适应面向岩石地球化学大数据的元素协变...  相似文献   

14.
位于中国南天山西侧阔克萨彦岭一带的川乌鲁碱性杂岩体,与该区川乌鲁铜金多金属矿床有着直接的成因联系,该杂岩体由早期的辉长岩—闪长岩岩、主期的二长岩—正长岩和晚期的正长花岗斑岩脉组成,各期岩石在矿物组成和化学成分上有明显的变化。从早到晚,SiO2含量增加,变化范围是50.52%～70.64%;全碱含量先增后减,在SiO2含量小于61.69%时,随SiO2含量增加而增加,而当SiO2含量大于61.69%时,与SiO2含量负相关。在AR-SiO2图解上,大多样品落入碱性区间,在A/CNK-A/NK图解上表现出由准铝质向过碱性演化的趋势。微量元素表现为大离子亲石元素相对高场强元素富集,Rb、Ba、Th、Sr等元素的相对富集和Nb、Ta、P、Ti等元素的负异常。稀土元素表现为轻稀土相对富集的特征,其(La/Yb)N为14.13～25.09,具有Eu的正异常或极微弱的Eu负异常。一些元素比值的线性关系暗示了该杂岩体为岩浆混合成因,基性岩浆的源区为富水的岩石圈地幔,而酸性岩浆是中下地壳中性火成岩在含饱和水条件下部分熔融的产物。这些性质指示川乌鲁杂岩体是在后碰撞拉张环境中由岩石圈地幔熔融的基性岩浆的底侵作用导致地壳的熔融以及后期的岩浆混合作用有关。  相似文献   

15.
Rubidium‐strontium and strontium isotope data for eight whole‐rock samples of granite varieties from the Encounter Bay area, South Australia, yield an isochron age of 487 ± 37 m.y. Two specimens of albitised granite, formed as a result of late‐stage metasomatic alteration of original megacrystic granite, conform to this isochron. These data support a genetic relation between granites and late‐stage metasomatic alteration as suspected from field, petrographical and geochemical studies. Eight samples from contiguous Kanmantoo Group metasedimentary rocks have an isochron age of 487 ± 60 m.y. Thus this metamorphic event is coincident with emplacement of the Encounter Bay Granite.

The initial Sr87Sr86 ratio for the Encounter Bay Granite (0.719) is significantly higher than initial ratios for the Palmer (0.709) and Anabama (0.705) Granites from the same region and can be attributed to either remobilisation or incorporation of strontium from older crustal material in the intrusion. The apparent initial Sr87/Sr86 ratio for the Kanmantoo Group metasedimentary rocks (0.722) can not be distinguished from that for the Encounter Bay Granite within the analytical uncertainties. Compatability of ages and high initial Sr87Sr86 ratios suggest that the granites formed by remobilisation of associated crustal rock.  相似文献   

16.
王建  李碧乐 《世界地质》1997,16(4):20-25
首先介绍了两种简易岩石地球化学图解，即元素，元素对比值混合方程和混染岩，混染端员元素浓度差相关性图解。进而应用这两种图解配合其它地质事实共同验证了冀东迁西上营－十八盘地区的云英闪长质片麻岩是由奥长花岩是由奥长花岗岩浆对角闪质岩石不同程度同化，混染形成的。  相似文献   

17.
Basalt geochemistry can be used as a diagnostic indicator for determining the tectonic setting of origin, because specific plate tectonic settings often impart distinctive geochemical characteristics. For example: (1) mid-ocean ridge basalts (MORB) and oceanic island basalts (OIB) have clearly distinguishable trace element and Sr-Nd isotope geochemical characteristics; (2) arc related basalts, including IOAB (intra-oceanic arc basalts), IAB (island arc basalts) and CAB (continental arc basalts), exhibit following distinguishing features: all are characterized by low Nb/La ratios (<0.85) and negative Nb, Ta and Ti anomalies; most exhibit low Nb concentrations (<8 ppm), high positive ɛNd values and low enrichment of incompatible elements except the continental arc shoshonitic basalts that possess high concentrations of incompatible trace elements and lower to negative ɛNd values; (3) although contamination by continental crust or lithosphere can impart subduction-like signature (e.g., low Nb, low Ta and low Ti) and lead to misidentification of contaminated continental intraplate basalts as arc related, there are still some essential differences between continental intraplate basalts and arc related ones; such as: uncontaminated continental intraplate basalts have high Nb concentrations, Nb/La > 1, “hump-shaped” OIB-like trace element patterns and moderate positive ɛNd values that distinguish them from the arc related ones; whereas, the contaminated continental intraplate basalts are characterized by pronounced negative Nb, Ta and Ti anomalies, but their concentrations of incompatible trace elements are conspicuously higher than those of subduction-zone basalts that also distinguishes them from the arc related ones; (4) an important difference between back-arc basin basalts (BABB) and the MORB is that the former exhibit both MORB-like and arc-like geochemical characteristics; (5) most oceanic plateau basalts (OPB) show diagnostic geochemical characteristics of enriched MORB (E-MORB) to transitional MORB (T-MORB); only the Kerguelen Plateau is an exception; the early (pre 90 Ma) volcanism of the Kerguelen Plateau is associated with the Early Cretaceous break-up of Gondwana and displays features of continental flood basaltic volcanism; with time, the tectonic setting of the Kerguelen plume-derived volcanism changed from a rifted continental margin setting (133–118 Ma) through a young, widening ocean (118–40 Ma), finally to an oceanic intraplate setting (~40 Ma to the present).Tectonic discrimination diagrams should not be used in isolation, but can still be useful as part of holistic geochemical characterization. For example: (1) MORB and OIB are distinguishable from each other in the 3Tb-Th-2Ta diagram; (2) the arc related basalts, including IOAB, IAB and CAB, constantly plot in the arc-related basalts fields in the Th/Yb-Ta/Yb diagram; (3) the 3Tb-Th-2Ta diagram can be utilized to fully illustrate both MORB-like and arc-like characteristics of BABB; (4) some discriminant diagrams (such as Zr/Y-Zr, Th/Yb-Ta/Yb, 3Tb-Th-2Ta and Hf/3-Th-Nb/16 diagrams) can be used to distinguish continental intra plate basalts from arc related ones; (5) although there are not any discrimination diagrams published that delineate an OPB field, some trace element diagrams can still reveal diagnostic characteristics of the OPB.  相似文献   

18.
This paper reports new geochemical data on the low temperature nitric thermal waters of Sikhote Alin. The studied alkaline waters belong to the HCO3-Na type with significant trace element variations. The waters demonstrate an increase in temperature and TDS from the south northward of Sikhote Alin. The oxygen and hydrogen isotopic data suggest their infiltration origin. The chemical composition of these waters was formed by water-rock interaction.  相似文献   

19.
微量元素谱图油气评价技术是在引进俄罗斯地电化学油气勘探方法的基础上开发的一项含油气性及油气属性评价预测新技术。试验研究表明,油区内外土样电化学提取微量元素Ti、V、Cr、Mn、Co、Ni、Cu、Zn的ICP质谱特征存在特征差异。利用微量元素谱图特征在五谷城和姬塬地区进行了油气评价和有利目标预测。地电化学微量元素谱图相关系数异常与微量元素浓度异常及烃类异常有较好的配置关系,与自然电位和可控源音频大地电磁确定的有效砂体储层相对应。2001及2002年在五谷城和姬塬地区微量元素谱图油气评价预测的有利区内及附近钻获油流,证实了微量元素谱图油气评价在长庆岩性油藏勘探中的作用及有效性。  相似文献   

20.
板块汇聚边缘玄武岩大地构造环境的Th、Nb、Zr判别   总被引：5，自引：0，他引：5  
根据Th、Nb、Zr的地球化学性质和判别机理，利用世界上典型大地构造环境区玄武岩类的Th、Nb、Zr数据，研究了Th、Nb、Zr判别玄武岩大地构造环境的地球化学机理，发现不同构造环境区玄武岩系的Th、Nb、Zr特征具有显著差异，其比值特征能将玄武岩形成的大地构造位置很好地划分出来。提出了板块汇聚边缘玄武岩大地构造环境的Nb/Zr Th/Zr判别图，该图不但能较好地区分出板块汇聚边缘中的洋—洋俯冲带、洋—陆俯冲带及陆—陆碰撞带，同时还能反映出岛弧区大地构造环境演化的趋势。  相似文献   

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