Archie公式的频域适用性实验分析
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1.西南石油大学地球科学与技术学院;2.中国石油大学北京地球物理学院

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P319.2

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国家杰出青年科学基金;四川省自然科学基金;西南石油大学开放实验项目


Experimental Analysis of the Frequency Domain Applicability of Archie’s Formula
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1.School of Geoscience and Technology,Southwest Petroleum University,Chengdu Sichuan;2.College of Geophysics,China University of Petroleum-Beijing

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    摘要:

    岩石的电阻率会随测量频率的变化而变化,而各类电阻率测井方法采用的测量频率不尽相同,有必要就Archie公式的频域适用性进行讨论。针对四块人造纯砂岩样品在1 kHz~110 MHz范围内的复电阻率频谱,选取15个离散频率分析复电阻率实部、虚部和幅值与孔隙度和含水饱和度的关系。结果表明,频率约1 kHz时的复电阻率实部和幅值与常规岩电实验规律一致。随着测量频率的增加,样品复电阻率实部呈递减趋势并在某一频率范围内急剧降低。样品孔隙度越小,含水饱和度越低,其复电阻率实部骤降对应的频率更低。因此,在某些特殊频率下可能出现孔隙度越小或含水饱和度越低的样品具有更小的复电阻率实部,呈现“逆Archie规律”。电阻率的频散导致在高频条件下Archie公式的适用性逐步降低,因此,高频电阻率测井资料应用于Archie公式之前需要先进行电阻率频散校正。以上结论认知值得引起测井解释评价工作人员的关注和重视。

    Abstract:

    The resistivity of rocks will change with the change of measurement frequency, and it is necessary to discuss the applicability of Archie's formula in the frequency domain because the measurement frequency used by various resistivity logging tools is different from each other. Based on the complex resistivity spectrum of four artificial pure sandstone samples in the range of 1 kHz~110 MHz, 15 discrete frequencies were selected to analyze the relationship between the real part, imaginary part and amplitude of complex resistivity and porosity and water saturation. The results show that the real part and amplitude of complex resistivity at the frequency of 1 kHz are consistent with those of conventional rock electrical experiments. With the increase of the measurement frequency, the complex resistivity of the sample decreases gradually and sharply within a certain frequency range. The smaller the sample’s porosity or the lower the water saturation is, the lower the frequency corresponding to the sudden drop of the real part of the complex resistivity will be. Therefore, the samples with smaller porosity or lower water saturation may have a smaller real part of complex resistivity and show "inverse Archie law" under some special frequencies. The dispersion of resistivity leads to a gradual decrease in the applicability of Archie's formula at high-frequency. Therefore, resistivity dispersion correction is required before high-frequency resistivity logging data is applied to Archie's formula. The above conclusions should be paid attention to by logging interpretation and evaluation staff.

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贾将,万天豪,柯式镇,等. Archie公式的频域适用性实验分析[J]. 科学技术与工程, , ():

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  • 收稿日期:2023-09-26
  • 最后修改日期:2024-05-16
  • 录用日期:2024-05-21
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