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本文选用一定孔隙度的饱含油或盐水的地层,分别讨论介电测井球面波模型中介电响应关于频率、源距的变化规律,确定了介电测井仪器的工作频率,最大和最小源距等参数;利用Lambert W函数性质针对该模型进行推导和求解,得到了介电常数,电导率关于相位差和幅度比的解析表达式.通过编程计算,并与迭代算法比较,计算精度有较大提升.
In this paper, a certain porosity of oil-saturated or saline-saturated formations are chosen to discuss the variation of dielectric response in frequency and source distance of dielectric logging surface wave model respectively. The working frequency, maximum and minimum source distance The Lambert W function is used to derive and solve the model. The analytical expressions of dielectric constant and conductivity for the phase difference and amplitude ratio are obtained. By programming and comparing with the iterative algorithm, the calculation accuracy is larger Enhance.