| 计算重力异常垂向二阶导数的DCT法——模型实验 |
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| 引用本文： | 张卫星.计算重力异常垂向二阶导数的DCT法——模型实验[J].甘肃地质学报,2009(3):85-88. |
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| 作者姓名： | 张卫星 |
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| 作者单位： | 机械工业勘察设计研究院,陕西西安710043 |
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| 摘 要： | 基于离散余弦变换（DCT）的重力异常垂询二阶导数的计算方法是笔者提出的新方法。以无限长水平圆柱体为例研究了DCT法的计算规律：模型实验证实，该法计算的无限长水平圆柱体重力异常垂向二阶导数的精度与采样闻隔、剩余密度及圆柱体半径大小无关。与圆柱体轴心埋藏深度成正比。通过分析给出了基于DCT的合适的线性滤波方式，滤波后的重力异常垂向二阶导数与理论二阶导数拟合效果好，具有较高的计算精度。
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| 关 键 词： | DCT 垂向二阶导数 采样间隔 线性滤波 |
DCT METHOD FOR CALCULATING VERTICAL SECOND DERIVATIVE OF GRAVITY ANOMALIES-Modeling Experiment |
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| ZHANG Wei-xing.DCT METHOD FOR CALCULATING VERTICAL SECOND DERIVATIVE OF GRAVITY ANOMALIES-Modeling Experiment[J].Acta Geologica Gansu,2009(3):85-88. |
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| Authors: | ZHANG Wei-xing |
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| Institution: | ZHANG Wei-xing (China Jikan Geotechnical Institute, Xi-an 710043, China) |
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| Abstract: | It is a new method that calculate vertical second derivative of gravity anomalies based on discrete cosine transform （DCT）. The paper researches computing rules of gravity anomalies for infinite cylinder. It was shown in modeling experiments that the calculating precision of gravity anomaly for infinite cylinder is indepen dent of the values of sampling interval, remain density and cylinder radius and is proportional to imbedded depth of cylinder axes. By analysis an adaptive mode of linear filtering based on DCT is given out. The curves of the vertical second derivative of gravity anomaly by filtered with it of academic derivative are superimposed and there have higher calculating precision. |
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| Keywords: | discrete cosine transform （DCT） vertical second derivative sampling interval linear filtering |
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