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本文结合图示,运用简单的空间几何知识和三角关系,经历从地质实体到数学建模再回到地质实体的推导过程,巧妙的将公式中相加减的两项在图中清楚的表示,不需要复杂的三角函数变换,简洁清晰的推导出岩层真厚度计算公式,并明确了列昂托夫斯基岩层真厚度公式中各个参数的取值范围,易于广大的地质工作者理解。本文还运用C语言、excel软件、visual basic.net语言三种编程方法,将已推导出的岩层真厚度计算公式进行编程,既实现了单组数据的即时计算,又实现了多组数据的批量处理。
In this paper, we use the simple geometric knowledge of geometry and trigonometry to go through the process of deriving from geologic entity to mathematical modeling and then back to geological entity. The two formulas of adding and subtracting in formula are cleverly shown in the figure. It does not need complex trigonometric transformation, concisely and clearly deduces the calculation formula of the true thickness of the rock formation, and defines the range of each parameter in the true thickness formula of the Leontowski rock formation, which is easy for the general geological worker to understand. This paper also uses three programming methods of C language, excel software and visual basic.net language to program the calculated true thickness of rock formation, which not only realizes the instant calculation of single set of data but also realizes the batch of multiple sets of data deal with.