摘要
我国地矿界计算岩矿层真厚度多采用列昂托夫斯基公式,该公式在实际运用过程中还存在局限性,要判断地形坡向与岩矿层倾向的关系以及岩矿层走向与剖面的锐夹角,在实际应用中极度繁琐且很易出错。本文对列昂托夫斯基公式进行改进,论证了一个一步到位既可进行岩矿层标量真厚度计算,又可进行岩矿层矢量真厚度计算的快捷公式:M=L[sinαcosβcos(θ-δ)+cosαsinβ],并对其进行详细的证明。该公式既可计算剖面岩层真厚度,又可计算槽探、坑道、钻孔及其他工程中的矿层岩层真厚度。该公式适应于大批量真厚度计算,在Excel表格中,计算时间忽略不计。
Most geologists use the Leontovski＇s formula to calculate the true thickness of strata and seams.But there are several shortcomings of this method.For example,it is extremely tedious and error-prone to determine the relationship between the aspect of slope and dip of strata and the angle between the strike and the section.We propose an improvements of the Leontovski＇s formula.Both scalar thickness and vector thickness can be calculated using the improved formula：M=L[sinαcosβcos（θ-δ）＋cosαsinβ].The detailed proof of this improved formula is given.The formula can calculate the true stratigraphic thickness in geological sections,trenches,mine tunnels,and boreholes.The calculation using the improved formula can be implemented in Excel spreadsheets.
出处
《地层学杂志》
CSCD
北大核心
2014年第4期417-424,共8页
Journal of Stratigraphy
关键词
地层
真厚度
计算
通式
岩矿层
矢量
标量
strata
calculation of true thickness
formula
strata and seams
vector
scalar
