Correction of the Calculation Formula of Stratum True Thickness in the Measured Geological Section
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1.State Key Laboratory of Continental Dynamics, Northwest University, Xi’an 710069, China;2.Department of Geology, Northwest University, Xi’an 710069, China;3.Geological Survey of Anhui Province, Hefei 230001, China

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P535

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    Abstract:

    The леоновский’s stratum true thickness formula is widely accepted and used by lots of geologists, but some problems still exist. Based on the actual situation, the calculation formula of stratum thickness was deduced, the range of the stratum thickness value and the influence of angle error were analyzed, and the problems of zero data, negative data and negative thickness of the stratum thickness were discussed. Finally, the case study was carried out to verify it. The results are obtained as follows: ①the леоновский’s formula only contains two kinds of field measurement and omits one kind of field measurement, so the calculation formula of stratum thickness is corrected; ②the range of F-data of stratum thickness is 0~1,and the F-data has different variation characteristics in three field survey situations respectively, but the maximum values are all obtained when the stratum dip direction is nearly vertical to the ground slope where the measure line passes, and the minimum values are all obtained when the stratum dip direction is nearly parallel to the ground slope where the measure line passes; ③the error influence of true dip angle, slope angle as well as the acute angle between the guiding line direction and the stratum strike has different variation characteristics in three field conditions, but both the true dip angle and the slope angle error have the greatest influence on the thickness calculation when the stratum trend is nearly parallel to the ground slope direction where the measure line passes, meanwhile, the acute angle between the guiding line direction and the stratum strike has the greatest influence on the stratum thickness when the acute angle is smallest; ④When the measure line is the translation line, the stratum thickness is zero; the concept of the negative stratum thickness only has its sense in the modified form of леоновский’s formula, which just indicates that the measure line crosses from the upper stratum surface to the lower stratum surface; the negative data of the calculation using the леоновский’s formula is caused by that the леоновский’s formula lacks one kind of field measurement, and the negative data isn’t equal to the negative thickness; the calculated values of the corrected formula are all positive values, which are in line with the objective reality, meanwhile it can be used to calculate the total stratum thickness combining with the structural analysis. The above knowledge has a guiding role in the selection of field measured profile and guiding line direction as well as the calculation of indoor stratum thickness and total thickness, and has an important value in the scientific research and production based on stratigraphic knowledge.

    Reference
    [1] 范朝焰, 王正海, 蒋丽怡, 等. 导线投影法实测地层剖面的误差分析及校正方法[J]. 地质学刊, 2013,37(2):188.
    [2] 罗华彪. 实测地质剖面及成图方法研究[J]. 矿产勘查, 2015,6(1):62.
    [3] 杨光忠, 胡永虹. 试论实测地质剖面的电算化处理[J]. 贵州地质, 2002,19(1): 67.
    [4] 王兆国,鲁如魁.一种新的实测地层剖面绘制方法[J].地质科学,2016,51(3): 1002.
    [5] 王兆国,鲁如魁. 一种实测地层剖面绘制的三维投影法:ZL201510553546.4[P]. 2017-11-14.
    [6] 方成名, 葛梦春, 张雄华. 数字实测地层剖面工作方法[J]. 新疆地质,2003, 21(S): 21.
    [7] 刘书才, 杜圣贤, 张贵丽. 实测剖面地层厚度计算方法探讨[J]. 山东国土资源, 2006,22(9): 37.
    [8] 孙羽, 李永军. 浅谈数字化实测地质剖面操作方法与技巧[J]. 新疆地质,2012, 30(4):487.
    [9] 杨利容, 赖德军, 罗娟. 基于AutoCAD实测地质剖面数字成图关键技术[J]. 物探与化探, 2011,35(2):261.
    [10] 王兆国, 鲁如魁. 基于Fortran语言和GMT软件的实测地质剖面的迅速实现[J]. 计算机应用,2015, 35(S2):301.
    [11] 王兆国,鲁如魁. 一种地层剖面绘制的复数运算法:ZL20151055922.3[P].2019-01-25.
    [12] 郭福生, 吴志春, 谢财富, 等. 数字地质填图系统的几点改进意见及实用技巧[J]. 中国地质, 2012, 39(1): 252.
    [13] 李莉, 刘永权, 庞迎春, 等. 基于WebGIS技术的实测地层剖面数据Web发布系统设计与实现[J]. 中国地质调查,2016, 3(2):58.
    [14] 李莉, 万勇泉, 王江立, 等. 青藏高原实测剖面数据管理与检索系统开发的方法与意义[J]. 华南地质与矿产,2010(2): 76.
    [15] 刘丽利, 梁玉辉. 实测地质剖面数据库建设初探[J]. 安徽地质, 2017,27(3):234.
    [16] 于宁, 陈仁. 数字剖面系统在实测地层剖面中的应用及整理[J]. 贵州地质, 2010,27(2): 148.
    [17] 张克信, 李超岭, 于庆文, 等. 数字地质填图技术中的数字剖面系统[J]. 地层学杂志, 2007,31(2):157.
    [18] MERTIE J BJr. Graphic and mechanical computation of thickness of strata and distance to a stratum[J].United States Geological Survey, 1922,129:39.
    [19] PRICE W A. General formulae for the determination of thickness and depth of strata[J]. Economic Geology,1922,17:370.
    [20] 布雅洛夫.构造地质学和野外地质学:下册[M].马名权,刘启华,译.北京:地质出版社,1955.
    [21] ICKES E L. Formulas for calculating stratigraphic thickness exposed between two dips[J]. Bulletin of the American Association of Petroleum Geologists, 1934, 18(1): 139.
    [22] PRICE W A. Thickness and depth of strata[J]. Bulletin of The American Association of Petroleum Geologists,1934,18(6):817.
    [23] MANDELBAUM H, SANFORD J T. Table for computing thickness of strata measured in a traverse of encountered in a bore hole[J]. Geological Socciety of America Bulletin,1952,63(8):767.
    [24] ADDIE G. A new true thickness formula based on the apparent dip[J]. Economic Geology,1968,63:188.
    [25] 何昌祥. 岩层真厚度计算的改进公式[J]. 中国区域地质, 1990(1): 78.
    [26] 胡福仁. 对《地层厚度计算方法的改进》一文的几点意见[J]. 地层学杂志,1985, 9(4): 270.
    [27] 肖水清. 实测剖面上计算岩层厚度的方法[J]. 地质与勘探, 1977,13(3):50.
    [28] 庄培德. 地层厚度计算方法的改进[J]. 地层学杂志,1983, 7(2): 154.
    [29] 叶东虎.岩层真厚度计算手册[M].北京:地质出版社,1976.
    [30] 刘元生. 地层厚度计算表盘[J]. 长春地质学院学报,1976(3):57.
    [31] 许边远. 试用矢量表示岩层真厚度[J]. 中国区域地质, 1998,17(1):80.
    [32] 朱正勇, 熊意林, 鲁显松, 等. 岩层真厚度计算中负厚度的处理及其地质意义[J]. 资源环境与工程, 2016,30(2): 217.
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WANG Zhaoguo, LU Rukui, XIA Liyuan. Correction of the Calculation Formula of Stratum True Thickness in the Measured Geological Section[J].同济大学学报(自然科学版),2020,48(7):1049~1059

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  • Received:April 08,2019
  • Online: August 04,2020
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