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The Influences of Multi-exponential Inversion on Relaxation Time Spectrum of Rocks

机译：多指数反演对岩石弛豫时间谱的影响

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Theoretical and practical research results both indicate that the induced polarization decaying curve of rocks has a close relationship with the pore structure and permeability of stratum in oil well logging. For better evaluating the reservoir characteristic from the induced polarization decaying data, the influence of parameters on inversion results should be analyzed in relaxation time spectrum. In this paper, the least square fitting method with penalty item is adopted to implement the multi-exponential inversion using the secondary field data of rocks, the continuous and smooth relaxation time spectrum is therefore obtained. The influence of the factors such as numbers of distribution points, relaxation time distribution, smooth factors, signal and noise ratio (SNR) on the spectrum are analyzed in detail. The results show that the penalty inversion may achieve good effect while the SNR is larger than 20 and the distribution points are between 32 and 64.
机译：理论和实践研究均表明，岩石诱导极化衰减曲线与测井中孔隙结构和地层渗透率密切相关。为了从诱发极化衰减数据更好地评估储层特征，应在弛豫时间谱中分析参数对反演结果的影响。本文采用带惩罚项的最小二乘拟合法，利用岩石的二次场数据进行多指数反演，得到连续平滑的弛豫时间谱。详细分析了分布点数，弛豫时间分布，平滑因子，信噪比（SNR）等因素对频谱的影响。结果表明，当信噪比大于20且分布点在32到64之间时，惩罚逆运算可获得较好的效果。

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