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-种添加修正项的gardner公式

Keywords: 地层密度,gardner公式,误差模型,测井数据,多元回归分析

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Abstract:

?通过实验研究,基于gardner经验公式,本文提出-种更加准确的揭示地层密度与纵波速度之间关系的方法。首先用gardner经验公式估算地层密度;然后计算实测密度与估算密度的差值dt,同时考虑了测井资料中对密度有影响的gr,rd,pe,cnl,ac五条测井曲线,对dt与这五条曲线做多元回归分析,建立误差模型;最后用预测误差值加上gardner密度预测值,得到最终密度预测值,也就是添加了dt修正项的gardner公式的密度预测值。将该方法预测结果与gardner经验公式、castagna等提出的速度和密度的多项式及指数关系式进行了对比分析。研究结果表明,引入误差修正项dt的gardner公式的预测精度更高。

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