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首页> 外文期刊>Pure and Applied Geophysics >A Least-Squares Standard Deviation Method to Interpret Gravity Data due to Finite Vertical Cylinders and Sheets
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A Least-Squares Standard Deviation Method to Interpret Gravity Data due to Finite Vertical Cylinders and Sheets

机译：最小二乘标准偏差法解释重力有限圆柱体和薄板引起的重力数据

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摘要

We have developed a least-squares approach to determine simultaneously the depth to both the top and base of a buried finite vertical cylinder (vertical line element approximation) and a 2-D vertical thin sheet from moving average residual anomaly profiles obtained from gravity data using filters of successive window lengths. The method involves using a relationship between the depth to the top, and base of the source and a combination of windowed observations. The method is based on computing the standard deviation of the depths to the top, determined from all moving average residual anomalies for each value of the depth to the base. The standard deviation may generally be considered a criterion for determining the correct depth to the top and base of the buried structure. When the correct depth to the base value is used, the standard deviation of the depths to the top is less than the standard deviation using incorrect values of the depth to the base. This method can be applied to residuals as well as to the observed gravity data. The method is applied to synthetic examples with and without random errors and tested on two field examples from the USA and Canada.
机译：我们已经开发了一种最小二乘法，可以根据重力数据使用以下方法得出的移动平均残留异常剖面图，同时确定埋入的有限垂直圆柱体（垂直线元素近似值）和二维垂直薄板的顶部和底部的深度连续窗口长度的过滤器。该方法涉及使用到源的顶部和底部的深度之间的关系以及窗口化观测的组合。该方法基于计算到顶部的深度的标准偏差，该标准偏差是从所有到底部的深度值的所有移动平均残留异常确定的。通常可以将标准偏差视为用于确定到掩埋结构的顶部和底部的正确深度的标准。使用正确的基准深度值时，到顶部的深度标准差小于使用基准值的不正确值的标准差。该方法可以应用于残差以及观测到的重力数据。该方法适用于有或没有随机误差的合成实例，并在美国和加拿大的两个现场实例上进行了测试。

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