Bostick反演法误差修正

Error Modification of Bostick Inversion Method

对于水平2层均匀介质模型,为提高Bostick反演法精度,推导希尔伯特变换近似所造成的误差公式,给出误差的数值计算方法,得到修正后的Bostick反演公式。对比2种方法反演结果发现,修正后的Bostick反演法能够更好地反映分界面及第2层介质的电阻率。

For the two-layered homogeneous medium model, this paper gives the error formula caused by Hilbert transform in the Bostick inversion process,explains the numerical calculation method of error,and gives the modification formula by means of theoretical derivation.The inversion calculation of the two models shows that the modified Bostick inversion method can better reflect the first layer depth and the resistivity of the basement.