An efficient pseudo-3D Occam’s inversion scheme is proposed here to stabilize the traditional 1D inversion for the frequency-domain helicopter-borne electromagnetic (FHEM) data. In this scheme, multiple flight lines are inverted simultaneously for layered 1D models minimizing a common objective function with lateral, vertical, and cross-line in the model regularization function. Applying the lateral, vertical, and cross-line weighting factors into the regularization matrix yields a more stable solution and produces geologically more realistic results. In addition, we investigate how the errors of height measurements obscure the FHEM response and affect recovered resistivity models. In this inversion, attempt is made to recover a correct altitude that deals with distortions caused by the presence of measurement height errors in the reconstructed resistivity models. The comparison among 1D, pseudo-2D, and pseudo-3D Occam’s inversions is made through the analysis of data from two different 3D synthetic models and one field dataset acquired from the north of Iran. The results indicate that pseudo-3D Occam’s inversion provides fewer inversion artifacts, better model recognition, and smoother and more continuous models, while, reduces the effects of data noise in an effective manner.

中文翻译：

---

带加权 3D 平滑度正则化的频域直升机机载电磁数据的多线 1D 反演：来自伊朗北部的案例研究

这里提出了一种有效的伪 3D 奥卡姆反演方案，以稳定频域直升机机载电磁 (FHEM) 数据的传统 1D 反演。在该方案中，多条飞行线同时反转用于分层一维模型，最小化模型正则化函数中具有横向、垂直和横向线的共同目标函数。将横向、垂直和交叉线权重因子应用到正则化矩阵中会产生更稳定的解决方案，并产生更真实的地质结果。此外，我们研究了高度测量的误差如何掩盖 FHEM 响应并影响恢复的电阻率模型。在这个反转中，尝试恢复正确的高度，以处理由于重建电阻率模型中存在测量高度误差而导致的失真。通过分析来自伊朗北部的两个不同 3D 合成模型和一个现场数据集的数据，对 1D、伪 2D 和伪 3D 奥卡姆反演进行了比较。结果表明，伪3D Occam 反演提供了更少的反演伪影、更好的模型识别以及更平滑和更连续的模型，同时有效地降低了数据噪声的影响。