临界阻尼状态下局部导电体TEM观测电压表达式的探讨

Discussion on the expression of tem observation voltage of local conductor in critical damping state

目前临界阻尼状态下局部导电体瞬变电磁观测电压表达式存在两种不同的结果,为了探究其原因,对临界阻尼状态下局部导电体观测电压表达式重新进行了推导,并用MATLAB软件对推导结果进行了验证。通过推导证明其中一种表达式存在错误,经过计算发现线圈阻尼系数越小,该表达式计算的观测电压误差越大;时间常数越小,计算的观测电压误差越大。

At present, there are two different derivation results for the expression of the transient electromagnetic observation voltage of the local conductor in the critical damping state. In order to explore what causes the expression with two different results, we deduce the expression of observed voltage of local conductor in critical damping state again in this paper, and apply the MATLAB software to verify the derivation results. It is proved by deduction that one of the expressions is wrong. It is found by calculation that the smaller the damping coefficient of the coil is, the greater the error of the observed voltage calculated by this expression is;the smaller the time constant, the greater the error of the observed voltage calculated by this expression.