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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。
In our country, the calculation of true thickness of rock and mine rock and mine is more than that of Leonovsky formula. There are still some limitations in the practical application of this formula. The relationship between topographic aspect and the tendency of rock and mine, Angle, extremely cumbersome and error-prone in practical applications. In this paper, we improve Leantofsky’s formula and demonstrate a quick formula that can calculate the true thickness of scalar rock and the real thickness of rock and rock in a single step: M = L [sin α cos β cos (θ-δ) + cosαsinβ], and its detailed proof. The formula can calculate the true thickness of the cross-section strata and calculate the true thickness of the strata of the strata in the trench exploration, tunneling, drilling and other projects. The formula adapted to high-volume true thickness calculation, in the Excel table, calculation time is negligible.