感应测井的最小平方反滤波

Application of the Least Square Inverse Filtering to Induction Log

感应测井响应是地层非线性时变滤波的结果。获得地层真电导率的方法就是将感应测井响应进行非线性时变的反滤波处理。本文用最小平方法设计出了一种非线性的反滤波因子,并对模拟的感应测井响应曲线进行了处理。结果表明,与传统的处理方法(包括三因子反滤波和趋肤效应提升)相比,该方法可大大地改进感应测井的精度。

Inuduction responses result from nonlinear-time-variable filtering of formation properties. However,the true formation resistivity is estimated by nonlinear time-variable inverse filtering of induction responses.The paper has given the nonlinear inverse filtering coefficients solved by the least square method,which is applied to simulated induction logs.The processing result indicates the least square inverse filtering can produce an improved resistivity profile which resembles the “true”profile more closely than that furnished by the traditional processing,including three-point inverse filtering and skin effect boosting.