| 重力异常的拟合多项式次数的选定 |
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| 引用本文： | 曾华霖.重力异常的拟合多项式次数的选定[J].物探与化探,1985,9(3):208-215. |
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| 作者姓名： | 曾华霖 |
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| 作者单位： | 武汉地质学院北京研究生部 |
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| 摘 要： | 本文提出了一种应用趋势分析划分重力异常时选定其拟合多项式次数的方法。对于单一异常,用不同次数的多项式对它进行最小二乘拟合时,利用表示其拟合程度的方差与多项式次数的关系曲线上的“畸变点”,可以确定异常拟合多项式的次数。对于叠加异常,先用不同高度向上延拓粗略地划分异常,然后再分别去选定多项式次数。理论试算表明,此方法适用于单个地质体引起的单一异常,对于多个地质体引起的叠加异常,也有一定的效果。
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THE ESTIMATION OF THE DEGREE OF POLYNOMIALFITTING GRAVITY ANOMALIES |
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| Institution: | Beijing Graduate School, Wuhan College of Geology |
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| Abstract: | This paper proposes a method for determining the degree of the fittingpolynomial in Separation of gravity anomalies by means of trend analysis. Thesingle anomaly can be fitted by polynomial of different degrees with the leastsquares method, and the degree of the polynomial fitting this anomaly can beEstimation by "distortion poinfon the curve representing relationship betweenvariance of fitting degree and degree of the polynomial. The superimposedanonaly is firstly roughly divided by upward Continuation of different heights,and then the degrees of polynomial can be Estimation respectively. Tentativetheoretical calculation shows that this method not only can be applied satisf-actorily to the single anomaly caused by an individual geological body, but issuitable to some extent to the superimposed anomaly brought about by seve-ral geological bodies as well. |
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