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A least-squares minimization approach for model parameters estimate by using a new magnetic anomaly formula

机译:通过使用新的磁异常公式估算模型参数的最小二乘最小化方法

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摘要

A new linear least-squares approach is proposed to interpret magnetic anomalies of the buried structures by using a new magnetic anomaly formula. This approach depends on solving different sets of algebraic linear equations in order to invert the depth (z), amplitude coefficient (K), and magnetization angle (theta) of buried structures using magnetic data. The utility and validity of the new proposed approach has been demonstrated through various reliable synthetic data sets with and without noise. In addition, the method has been applied to field data sets from USA and India. The best-fitted anomaly has been delineated by estimating the root-mean squared (rms). Judging satisfaction of this approach is done by comparing the obtained results with other available geological or geophysical information.
机译:提出了一种新的线性最小二乘方法,通过使用新的磁异常公式来解释埋藏结构的磁异常。该方法依赖于求解不同组的代数线性方程组,以便使用磁数据反转埋藏结构的深度(z),振幅系数(K)和磁化角(θ)。新提出的方法的实用性和有效性已通过各种有噪声和无噪声的可靠合成数据集得到了证明。此外,该方法已应用于来自美国和印度的现场数据集。通过估计均方根(rms)来描述最适合的异常。通过将获得的结果与其他可用的地质或地球物理信息进行比较,可以判断这种方法是否令人满意。

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