岩层真厚度计算的改进公式

    THE IMPROVED FORMULA FOR CALCULATING THE TRUE THICKNESS OF THE STRATA

    • 摘要: 苏联列昴托夫斯基关于岩层真厚度的计算公式为:m=L·(sinα·cosβ·sinγ±cosα·sinβ)。笔者将列氏公式中测向与岩层走向的夹角γ改为测向与岩层倾向的夹角ω;并将式中的“±”法改为统一的“+”法。改进公式为:m=L·(sinα·cosβ·cosω+cosα·sinβ)。改进公式有两个特点:1.适宜用普通函数型和程序型计算器或计算机作为运算工具,连续运算,避免了小数位的取舍以及查表等精度影响,提高了计算精度;2.测量数据与计算输入数据完全一致,从而达到简化计算的目的。

       

      Abstract: The calculation formula about the true thickness of thestrata proposed by L mu of the U. S. S. K. is m=L. (sina·cosβ·sinγ+cosα·sinβ). The author changes the included angler of the measuring direction and the str ike of the strata in the formula into the included angle ω of the measuring angle and the dip of the strata and changes the "±" method in the formula into the unified "±" method. The improved formula is as follows: m=L·(sinα· cosβ·cosω+cosα·sinβ) The improved formula has two characters: (1) it is applicableto the common function and programme-controlled calculator or computer as an operation tool and continuous operation, thus keeping the precision from being affected by the rounding off of the decimal place and consultation of tables and improving the precision of calculation; (2) the measuring data are consistent with the input data, thus attaining the aim of simplifying calculation.

       

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