一维连续导电剖面的反演问题

Inverse Problem of The One-dimensional Continuous Conductivity Profile

摘要:

基于Schlumberger装置测得的视电阻率,在Coen理论的基础上对一维连续直流导电剖面的反演问题进行研究。分别给出了导电剖面是常函数、线性函数、幂函数、指数函数、分段函数情况下的精确数据和噪音数据反演结果。利用一个野外场地反演的例子,把利用该方法进行反演得到的连续模型和Inman得到的层状模型进行了相应的比较,发现该方法在处理实际场地数据也是有效的。

Abstract:

Based on the Coen inverse algorithm,the inverse determination of one-dimensional continuous conductivity profile from the measurements of apparent resistivity with Schulunberger array is studied.The inversions of presise data and noise data in different conductivity profiles,such as constant function,linear function,power function,exponential function and piecewise function,are given.Using a real field example in which the conductivity profile is determined with layered model by Inman in 1975,we compare the results between our continuous conductivity profile and Inman＇s and it is found that the method is valid.