There are several models accounting for the induced polarization phenomenon in terms of complex, frequency‐dependent conductivity σ or resistivity ρ = 1/σ. The most popular ones are the Cole–Cole conductivity and Pelton resistivity models. Each model includes four parameters: resistivity ρ (or its inverse, conductivity σ), chargeability m, relaxation time τ and frequency dependence c. Some authors argue that these models predict different relaxation times and are equivalent provided that this difference is accounted for in interpreting induced polarization data. We show that the discussion about the equivalence of the Cole–Cole conductivity and Pelton resistivity equations might arose from not taking into consideration the difference between the relaxation time as a model parameter, and that observed experimentally. We also show that, when comparing models as such, there is no reason to talk about different relaxation times. The equivalence of conductivity and resistivity equations manifests itself in that both, with allowance made for the measurement circuit, predict the same experimental data.

中文翻译：

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关于感应极化数据解释中电导率和电阻率方程的等价关系

有几种模型可以根据复杂的，与频率相关的电导率σ或电阻率ρ = 1 / σ来解释感应极化现象。最受欢迎的是Cole-Cole电导率和Pelton电阻率模型。每个模型都包含四个参数：电阻率ρ（或它的倒数，电导率σ），可充电性m，弛豫时间τ和频率依赖性c。一些作者认为，这些模型可预测不同的弛豫时间，并且只要解释解释的极化数据时考虑到了这种差异，它们是等效的。我们表明，关于Cole-Cole电导率和Pelton电阻率方程的等效性的讨论可能是由于没有考虑松弛时间作为模型参数与实验观察到的差异而引起的。我们还表明，当比较这样的模型时，没有理由谈论不同的弛豫时间。电导率和电阻率方程式的等效性表现为，在允许测量电路的情况下，两者都可预测相同的实验数据。