由于放射性测井仪的模拟记录器中使用了RC并联网络,故测井响应受Vτ影响,V为测井速度,τ为RC网络时间常数。以往对Vτ影响的讨论是在考虑单一放射性地层的模型下进行的,认为测井响应(RC网络输出)相对真实地层信号(RC网络输入)存在相位滞后和减幅失真。事实上,井下单一的放射性地层是不存在的,存在的是连续变化的放射性地层剖面。从这一基本事实出发,本文依据随机过程理论导出了测井响应与RC网络输入之间的正演关系,从而发现Vτ影响不仅导致相位滞后和减幅失 Logging responses are affected by Vτ because of the parallel RC network used in the analog logger of the logging tool. V is the logging speed and τ is the RC network time constant. The previous discussion of the Vτ effect was conducted under a single radioactive formation model and concluded that there is phase lag and dips in the logging response (RC network output) relative to the real formation signal (RC network input). In fact, a single radioactive underground formation does not exist, there is a continuous change in the radioactive stratigraphic section. Based on this basic fact, this paper derives the forward relationship between the logging response and the input of the RC network based on stochastic process theory. It is found that the Vτ influence not only leads to phase lag and loss reduction