基于偏正态概率分布的粒度分布次总体分离及其沉积环境指示意义
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本文为湖北省教育厅科学研究计划项目(编号:Q20211302)、国家自然科学基金资助项目(编号:42130813、41772094)和国家科技重大专项(编号:2016ZX05027-002-007)的成果


Decomposing subpopulations from grain-size distributions based on skew normal probability distribution and their significances for sedimentary environments
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    摘要:

    沉积物颗粒是某种沉积环境和水动力条件下多个沉积过程的最终产物。粒度分布是原始沉积信息的载体,是来自不同沉积过程的多个次总体的叠加,频率曲线可能表现为双峰或者多峰特征。传统的沉积学粒度分析方法并未深入研究次总体;常见的概率分布模型在分离次总体后无法全面计算统计参数。本文以214份鄱阳湖现代沉积物的粒度分布数据为例,利用偏正态概率分布模型共分离提取977个次总体,计算各个次总体的统计参数,并对比分析了不同沉积环境中次总体参数的异同。结果表明:① 次总体均值、方差、偏度、峰度、所占百分比和最大频率等参数规律明显;② 从曲流河河道到河流末端、在河流末端顺流方向上和河道左右两侧远离河道方向上,粒度分布中主要次总体粒度均值逐渐减小,河道间洼地和湖区沉积物粒度分布的各个次总体占比接近;③ 江心洲的河道砂和河漫滩细粒粒度分布分别由3种和5种不同类型次总体组成。该方法可为沉积环境的定量判断和沉积过程的定量研究提供参考。

    Abstract:

    Operated by multiple sedimentary processes in some sedimentary environments and dynamics, the occurrence frequencies of different diameter particles, called grain-size distribution (GSD) in sedimentology and geology, record original sedimentary information. Superposed by multi-subpopulations, the corresponding frequency curve of GSD could be bimodal or multimodal. Traditional methods for sedimentological analysis do not research the subpopulations in GSD deeply. After unmixing subpopulations from GSD, usual probability distribution models are unable to calculate statistical parameters of subpopulations thoroughly.Methods: Taking 214 GSDs from modern sediments in the Poyang Lake for example, skew normal probability distribution is used to decompose total 977 subpopulations in this paper. Statistical parameters of subpopulations, such as mean, sorting, skewness, kurtosis, percentage in GSD and maximum frequency, are all calculated. Similarities and differences of these parameters from various sedimentary environments are compared.Results: The statistical parameters of subpopulations are in obvious rules. Means of subpopulations focus in six intervals: 0~1, 1~2, 2~3, 4~5, 6~7 and 7~8. Subpopulations with means in 0~2, 2~3 and 4~5 are excellent, excellent—well and excellent— moderate sorted respectively; sorting of subpopulations with means in 6~8 are negative linear correlation with means. Subpopulations with means in 4~5 and 6~8 are mainly very coarse skewed. Kurtosis of all subpopulations are less than 0.8. Percentages in GSDs of subpopulations with means in 4~5 and 6~8 are generally less than 30%. Maximum frequencies of all subpopulations are less than 12%, and that of subpopulations with means in 4~5 and 6~8 are less than 3% and 2% respectively. Percentages in GSDs of subpopulations with different means are positive linear correlation with corresponding maximum frequencies.Conclusions: From the channel to terminal of river, and downstream or left and right away from channels in the river terminal, means of main subpopulations decrease gradually. Percentage of each subpopulations in GSDs of sediments from interchannel hollows and near lake regions are approximated, which means that there is no obvious main subpopulation. Reworked by wind, sediments from floodplain are unimodal distribution, with maximum frequencies about 10% and percentages in GSDs about 90%. In the central bar of the Kangshan River, GSDs of sediments from river channel sands and floodplains fine-grains are constituted by three and five different types of subpopulations respectively. This paper would offer reference information for distinguishing sedimentary environments and researching sedimentary processes quantificationally.

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袁瑞,张昌民,赵芸,张莉,陈哲,张宝进,黄若鑫.2022.基于偏正态概率分布的粒度分布次总体分离及其沉积环境指示意义[J].地质论评,68(3):1033-1047,[DOI].
YUAN Rui, ZHANG Changmin, ZHAO Yun, ZHANG Li, CHEN Zhe, ZHANG Baojin, HUANG Ruoxin.2022. Decomposing subpopulations from grain-size distributions based on skew normal probability distribution and their significances for sedimentary environments[J]. Geological Review,68(3):1033-1047.

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  • 收稿日期:2021-09-21
  • 最后修改日期:2021-12-16
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  • 在线发布日期: 2022-05-19
  • 出版日期: 2022-05-15