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图解法和矩值法粒度参数的定性对比:以琼州海峡岸滩表层沉积物为例

李高聪 梁荣鑫 仝长亮 王华强 夏琼 李志强 唐杰平

李高聪,梁荣鑫,仝长亮,等. 图解法和矩值法粒度参数的定性对比:以琼州海峡岸滩表层沉积物为例[J]. 海洋学报,2023,45(2):98–109 doi: 10.12284/hyxb2023005
引用本文: 李高聪,梁荣鑫,仝长亮,等. 图解法和矩值法粒度参数的定性对比:以琼州海峡岸滩表层沉积物为例[J]. 海洋学报,2023,45(2):98–109 doi: 10.12284/hyxb2023005
Li Gaocong,Liang Rongxin,Tong Changliang, et al. Qualitative comparative analysis on grain-size parameters of derived from graphic and moment methods: a case study of the surficial sediment of coastal beaches of Qiongzhou Strait[J]. Haiyang Xuebao,2023, 45(2):98–109 doi: 10.12284/hyxb2023005
Citation: Li Gaocong,Liang Rongxin,Tong Changliang, et al. Qualitative comparative analysis on grain-size parameters of derived from graphic and moment methods: a case study of the surficial sediment of coastal beaches of Qiongzhou Strait[J]. Haiyang Xuebao,2023, 45(2):98–109 doi: 10.12284/hyxb2023005

图解法和矩值法粒度参数的定性对比:以琼州海峡岸滩表层沉积物为例

doi: 10.12284/hyxb2023005
基金项目: 国家自然科学基金(42176167);广东省科技厅科技基础条件建设项目(2021B1212110005);2022年海南省自然科学基金(422RC800);海南省海洋地质资源与环境重点实验室开放课题重点课题 (HNHYDZZYHJKF015);湛江市创新创业团队引育“领航计划”(211207157080994)。
详细信息
    作者简介:

    李高聪(1987-),男,广东省梅州市人,博士,主要从事海洋地质学研究。E-mail: gcli@gdou.edu.cn

    通讯作者:

    夏琼(1987-),女,广东省湛江市人,博士,主要从事海洋科学研究。E-mail: xiaqiong2014@gmail.com

    唐杰平(1987-),男,江苏省南京市人,博士,主要从事海洋沉积动力学研究。E-mail: jieping_tang@hotmail.com

  • 中图分类号: P736.21

Qualitative comparative analysis on grain-size parameters of derived from graphic and moment methods: a case study of the surficial sediment of coastal beaches of Qiongzhou Strait

  • 摘要: 前人已开展了大量的关于图解法和矩值法数值结果的相关性分析和相互转换方程的确定工作,但针对定性结果的对比仍较为罕见。本文选取了琼州海峡两岸15个海滩22条断面105个表层沉积物为典型研究对象,分别采用Folk和Ward图解法和Friedman矩值法获取粒度参数结果,构建定量结果的回归关系和对比定性结果的异同。结合前人的研究成果,本文进一步探讨了两种方法结果的可对比性,并分析两种方法的方法差异对沉积物粒度信息提取及使用造成的可能影响。研究结果表明:(1)就定量结果而言,图解法和矩值法计算的平均粒径和分选系数具有强相关性(R2 ≥ 0.951),而偏态和峰态则表现为中等相关(R2 = 0.586)和不相关(R2 = 0.011),表明图解法和矩值法计算粒度参数定量结果之间的相关性并不稳定,这与前人的研究结果基本一致;(2)就定性结果而言,图解法和矩值法的结果之间存在较大偏差,分选系数、偏态和峰态不一致的占比分别达30.48%、55.24%和71.43%,这与定量结果的相关性存在一定程度的偏差,表明定量结果的相关性程度并不能完全用于指示定性术语结果的一致性程度。鉴于最大化地揭示沉积物的差异是粒度参数分析方法追寻的目标,在选择何种方法计算粒度参数时需充分考虑沉积物粒径概率分布曲线的特征。本文提供了一个以海滩沉积物为研究对象的图解法和矩值法粒度参数结果对比的典型案例,研究结果有助于提升对粒度参数分析方法的差异、原因和科学使用等方面的认识。
  • 图  1  图解法(GM)和矩值法(MM)粒度参数的数值结果及其线性拟合方程

    Fig.  1  Regression equations and numerical values for the grain size parameters computed by the graphic method (GM) and the moment method (MM)

    图  2  图解法(GM)和矩值法(MM)粒度参数定性描述术语结果对比

    Fig.  2  Comparison of the physical descriptive terms obtained using the graphic method (GM) and the moment method (MM)

    图  3  不同分选系数定性结果对应的沉积物粒径概率分布曲线(图解法结果VS矩值法结果)

    不同颜色线条指示不同样品

    Fig.  3  Grain-size distribution curves of the different sorting descriptive terms (graphic method result VS moment method result)

    Different color lines indicate different samples

    图  4  不同偏态定性结果对应的沉积物粒径概率分布曲线(图解法结果VS矩值法结果)

    不同颜色线条指示不同样品

    Fig.  4  Grain-size distribution curves of the different skewness descriptive terms (graphic method result VS moment method result)

    Different color lines indicate different samples

    图  5  不同峰态定性结果对应的沉积物粒径概率分布曲线(图解法结果VS矩值法结果)

    不同颜色线条指示不同样品

    Fig.  5  Grain-size distribution curves of the different kurtosis descriptive terms (graphic method result vs moment method result)

    Different color lines indicate different samples

    表  1  图解法和矩值法粒度参数的计算方程

    Tab.  1  Equations of grain-size parameters for the graphic and moment mothods

    粒度参数图解法[5]矩值法[7]
    平均粒径(Φ)${ \displaystyle\frac{{D}_{16}+{D}_{50}+{D}_{84}}{3} }$${ \displaystyle\frac{\displaystyle\sum _{i}^{n}{X}_{i}{f}_{i}}{100} }$
    分选系数${ \displaystyle\frac{{D}_{84}-{D}_{16}}{4}+\displaystyle\frac{{D}_{95}-{D}_{5}}{6.6}} $${ {\left[\displaystyle\frac{ \displaystyle\sum _{i}^{n}{ {f}_{i}({X}_{i}-\stackrel{—}{X})^{2} } }{100}\right]}^{1/2} }$
    偏态${ \displaystyle\frac{{D}_{84}+{D}_{16}-{2D}_{50}}{2({D}_{84}-{D}_{16})}+\displaystyle\frac{{D}_{95}+{D}_{5}-{2D}_{50}}{2({D}_{95}-{D}_{5})}} $${ \displaystyle\frac{ \displaystyle\sum _{i}^{n}{({X}_{i}-\stackrel{—}{X})^{3} }{f}_{i} }{100{\sigma }^{3} } }$
    峰态${ \displaystyle\frac{{D}_{95}-{D}_{5}}{2.44({D}_{75}-{D}_{25})}} $${ \displaystyle\frac{ \displaystyle\sum _{i}^{n}{({X}_{i}-\stackrel{—}{X})^{4} }{f}_{i} }{100{\sigma }^{4} } }$
    注:D5D16、D25、D50、D75、D84、D95分别对应概率累积曲线上5%、16%、25%、50%、75%、84%和95%的粒径;Xi为粒级组的中值,fi为各粒级范围的百分比含量,$ \sigma $为分选系数的结果。
    下载: 导出CSV

    表  2  图解法和矩值法粒度参数的定性描述术语及其数值范围

    Tab.  2  Physical descriptive terms and their ranges applied to numerical values for grain-size parameters of the graphical and moment methods

    粒度参数定性描述术语数值范围
    图解法[5]矩值法[7]
    分选分选极好< 0.35< 0.35
    分选好0.35~0.500.35~0.50
    分选较好0.50~0.700.50~0.70
    分选中等0.70~1.000.70~1.00
    分选较差1.00~2.001.00~2.00
    分选差2.00~4.002.00~4.00
    分选极差> 4.00> 4.00
    偏态极负偏–1.0~–0.3< −1.30
    负偏–0.3~–0.1−0.30~–0.43
    近对称–0.1~0.1–0.43~0.43
    正偏0.1~0.30.43~1.30
    极正偏0.3~1.0> 1.30
    峰态很平坦< 0.67< 1.70
    平坦0.67~ 0.901.70~2.55
    中等0.90~1.112.55~3.70
    尖锐1.11~1.503.70~7.40
    很尖锐1.50~3.00> 7.40
    非常尖锐> 3.00
    注:“−”代表无数据。
    下载: 导出CSV

    表  3  图解法(GM)和矩值法(MM)粒度参数数值结果特征值统计表

    Tab.  3  Characteristic values of grain-size parameters for the numerical values of graphic method (GM) and moment method (MM)

    粒度参数计算方法最小值最大值平均值标准偏差
    平均粒径
    GM–0.373.172.160.66
    MM–0.373.142.100.68
    分选系数GM0.311.560.620.27
    MM0.341.620.690.27
    偏态GM–0.490.460.070.16
    MM–3.102.500.061.10
    峰态GM0.662.481.130.25
    MM1.9522.877.674.33
    下载: 导出CSV

    表  4  图解法(GM)和矩值法(MM)分选系数术语的分布矩阵(%)

    Tab.  4  Distribution matrix for the sorting descriptive terms obtained using the graphic method (GM) and the moment method (MM) (%)

    MMGM
    分选极好分选好分选较好分选中等分选较差
    分选极好2.860.000.000.000.00
    分选好3.8122.860.000.000.00
    分选较好0.9513.3316.190.000.00
    分选中等0.000.007.6219.050.00
    分选较差0.000.000.004.768.57
    下载: 导出CSV

    表  5  图解法(GM)和矩值法(MM)偏态术语的分布矩阵(%)

    Tab.  5  Distribution matrix for the skewness descriptive terms obtained using the graphic method (GM) and the moment method (MM) (%)

    MMGM
    极负偏负偏近对称正偏极正偏
    极负偏1.906.670.000.950.00
    负偏0.005.7119.050.000.00
    近对称0.000.0018.1011.430.95
    正偏0.000.000.9518.101.90
    极正偏0.000.000.0013.330.95
    下载: 导出CSV

    表  6  图解法(GM)和矩值法(MM)峰态术语的分布矩阵(%)

    Tab.  6  Distribution matrix for the kurtosis descriptive terms obtained using the graphic method (GM) and the moment method (MM) (%)

    MMGM
    很平坦平坦中等尖锐很尖锐
    很平坦0.000.000.000.000.00
    平坦0.952.860.000.000.00
    中等0.002.863.811.900.00
    尖锐0.001.9025.7117.142.86
    很尖锐0.000.0022.8612.384.76
    下载: 导出CSV

    表  7  图解法(GM)和矩值法(MMFr或MMMc)粒度参数回归方程的斜率和拟合优度(R2)统计表

    Tab.  7  Regression equations and their coefficients of determination for the grain size parameters computed by the graphic method (GM) and moment method (MMFr or MMMc)

    对比方法序号沉积环境平均粒径分选系数偏态峰态参考文献
    斜率R2斜率R2斜率R2斜率R2
    GM- MMFr1黄土高原西部黄土古土壤和风成砂1.010.9991.000.9471.140.3843.060.941[15]
    2东沙群岛以东陆坡区沉积物0.940.9950.900.9783.110.7323.560.725[16]
    3中沙群岛以东深海盆地沉积物0.950.9860.900.9912.010.7262.600.697[16]
    4长江口外近海海域表层沉积物0.9980.9560.1790.411[22]
    5钱塘江河口中高潮滩泥质纹层1.060.9991.520.8980.300.8770.260.970[17]
    6钱塘江河口中高潮滩砂质纹层1.050.9741.420.8750.090.1560.200.718[17]
    7西台吉乃尔盐湖沉积物0.9970.8700.3280.273[18]
    8岱海稳定湖相沉积物1.050.9911.120.9590.230.6320.150.622[21]
    9洛川典型风成黄土1.050.9871.050.8110.350.8040.110.391[21]
    10秦安孙嘉剖面红黏土1.050.9991.260.9540.200.4990.140.742[21]
    11酒泉盆地火烧沟河湖相沉积物1.050.9950.970.7240.460.8400.240.617[21]
    12胶州湾表层沉积物0.990.9981.070.9662.300.8011.710.597[12]
    13江苏潮滩表层沉积物0.970.9980.780.9494.140.3903.750.065[12]
    14珠江水下三角洲表层沉积物0.970.9980.970.9712.160.7882.840.791[12]
    15湛江南三岛海滩表层沉积物1.040.9791.010.8213.210.2074.190.035[12]
    16北部湾陆架表层沉积物0.990.9940.970.9851.920.8442.400.816[12]
    17海南潟湖表层沉积物0.970.9980.850.9442.620.4163.240.537[12]
    18琼州海峡两岸海滩表层沉积物0.980.9960.970.9515.200.5861.860.011本研究
    GM-MMMc19山东半岛月湖和荣成湾沉积物0.9980.9850.7710.248[14]
    20宜昌莲沱河河道沉积物1.050.9950.960.9070.470.1300.430.494[23]
    21福建泉州湾表层沉积物0.940.9660.830.6314.240.1461.200.084[19]
    22金沙江上游雪隆囊溃坝堆积物(上游)0.720.9480.930.8241.890.7576.910.822[20]
    23金沙江上游雪隆囊溃坝堆积物(中游)0.920.9940.890.9591.730.8152.470.942[20]
    24金沙江上游雪隆囊溃坝堆积物(下游)0.990.9911.450.9012.250.4914.660.580[20]
    25湛江南三岛海滩表层沉积物1.040.9791.010.8210.130.0670.040.159[11]
    注:“−”代表无数据。
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-06-14
  • 修回日期:  2022-08-15
  • 网络出版日期:  2022-08-29
  • 刊出日期:  2023-02-01

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