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运用多重分形和小波变换预测油气储量及确定勘探井位 被引量:4

APPLICATION OF MULTIFRACTAL AND WAVELET TRANSFORM TO PREDICT THE RESERVE OF PETROLEUM GAS AND DETERMINE THE POSITION OF DRILLING
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摘要 本文尝试将多重分形和小波变换紧密结合用于预测油气田储量及勘探井位,相应地提出了一种新型实用算法,这种算法计算简便、精度高.本文在运用多重分形进行分析时,引入了反映多重分形谱图的凸性的新指标,并提出了在运用多重分形指标的同时进行综合分析的方法;此外。 In this paper, we attempt to combine both the multifractal and wavelet transform together closely to predict the reserve of the petroleum gas and determine the position of drilling, and present correspondingly a new practical algorithm whose computation is simple and convenient while the accuracy is high. In order to apply the multifractal method, we introduce a new index to reflect the convexity of the multifractal spectrum diagram, and present a method for comprehensive analysis with several multifractal indices simultaneously, and meanwhile we also present the extrapolation method and truncation method which must be adopted in applying wavelet transform to deal with practical tasks.
机构地区 重庆大学
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 1997年第1期99-106,共8页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
关键词 多重分形 小波变换 油气储量 井位 Multifractal, Wavelet Transform, Reserve of Petroleum Gas, Prediction, Exploration of Petroleum Gas Field, Position of Drilling.
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参考文献2

  • 1段虞荣,分形理论及其应用,1993年,366页
  • 2曾文曲,分形几何.数学基础与应用(译),1991年

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