The rheological models of Lomnitz and Jeffreys have been widely used in earthquake seismology (to simulate a nearly constant Q medium) and to describe the creep and relaxation behavior of rocks as a function of time. Other similar models, such as those of Becker, Scott Blair and Kolsky, show similar properties, particularly the Scott Blair model describes a perfectly constant Q as a function of frequency. We first give a historical overview of the main scientists and the development and versions of the various models and priorities of discovery. Then, we clarify the relationship between the different versions of these models in terms of mathematical expressions of the complex modulus and calculate the phase velocity and quality factor Q as a function of frequency, illustrating the various special cases. In addition, we give useful hints for the numerical calculation of these moduli, which include special cases of the hypergeometric function.

Lomnitz 和 Jeffreys 的流变模型已广泛应用于地震学（模拟几乎恒定的Q介质）并描述岩石随时间变化的蠕变和松弛行为。其他类似的模型，例如 Becker、Scott Blair 和 Kolsky 的模型，也显示出类似的特性，特别是 Scott Blair 模型描述了一个完全恒定的Q作为频率的函数。我们首先对主要科学家以及各种模型的发展和版本以及发现的优先事项进行历史概述。然后，我们根据复模数的数学表达式阐明了这些模型的不同版本之间的关系，并计算了作为频率函数的相速度和品质因数Q，说明了各种特殊情况。此外，我们还为这些模的数值计算提供了有用的提示，其中包括超几何函数的特殊情况。